Details

analyze248.0ms (3.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	8
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.3s (34.3%)

Results

1.0s	2112×	body	1024	valid
913.0ms	5097×	body	256	valid
339.0ms	1039×	body	512	valid
6.0ms	8×	body	2048	valid

Bogosity

preprocess30.0ms (0.5%)

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify14.0ms (0.2%)

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 (cos.f64 y)) (.f64 z (sin.f64 y)))

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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series11.0ms (0.2%)

Counts

3 → 64

Calls

21 calls:

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

rewrite69.0ms (1%)

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

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

simplify64.0ms (1%)

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	365	2581
1	854	2532
2	2756	2529

Stop Event

1×	node limit

Counts

201 → 189

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 0 (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (cos.f64 y))))) (sqrt.f64 (log.f64 (.f64 x (cos.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (cos.f64 y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (cos.f64 y))) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (cos.f64 y))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (cos.f64 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (cos.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 y)) 1) (.f64 (log.f64 x) 1)))
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (sin.f64 y))))) (sqrt.f64 (log.f64 (.f64 z (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 (sin.f64 y))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 z)))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 z) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 z) 1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) (sin.f64 y)))))
(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) 1)
(.f64 1 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) (sin.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))))
(/.f64 1 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 (neg.f64 z) (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (pow.f64 (exp.f64 z) (sin.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1) 1))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (.f64 x (cos.f64 y)) 1 (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sin.f64 y)) 1 (.f64 x (cos.f64 y)))
(fma.f64 1 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 1 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	156	12
2	1853	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg_binary64`
482×	`associate-l_binary64`
403×	`associate-r_binary64`
378×	`log-prod_binary64`
312×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	724
1	199	721
2	747	717
3	3818	691
4	7345	691

Stop Event

1×	node limit

Counts

57 → 47

Calls

Call 1

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

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

eval54.0ms (0.8%)

Compiler: Compiled 4466 to 1456 computations (67.4% saved)

prune55.0ms (0.8%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	263	19	282
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	263	21	284

Error

0.0b

Counts

284 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	1.0b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
	31.9b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	33.0b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
	29.2b	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
▶	18.1b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.2b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	33.0b	(fma.f64 z y x)
✓	0.2b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	32.5b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
▶	33.0b	(+.f64 (*.f64 y z) x)
	29.4b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
✓	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	17.5b	(+.f64 x (*.f64 z (sin.f64 y)))
	24.4b	(*.f64 (cos.f64 y) x)
	39.5b	(*.f64 z (sin.f64 y))
	38.9b	(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
	40.2b	x

Compiler

Compiled 501 to 330 computations (34.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite41.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	156	12
2	1853	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg_binary64`
500×	`associate-l_binary64`
421×	`associate-r_binary64`
379×	`log-prod_binary64`
312×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	724
1	201	721
2	747	717
3	3885	691
4	7418	691

Stop Event

1×	node limit

Counts

57 → 45

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

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

rewrite40.0ms (0.6%)

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 z) x)

Outputs

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

simplify39.0ms (0.6%)

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite42.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`pow1_binary64`
747×	`add-log-exp_binary64`
747×	`log1p-expm1-u_binary64`
747×	`expm1-log1p-u_binary64`
730×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	147	7
2	2003	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
526×	`associate-l_binary64`
474×	`associate-r_binary64`
429×	`div-sub_binary64`
313×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	601
1	271	586
2	870	582
3	5224	582

Stop Event

1×	node limit

Counts

62 → 52

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 x (cos.f64 y)))
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series22.0ms (0.3%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	y	@	inf	(sqrt.f64 (*.f64 x (cos.f64 y)))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms	y	@	0	(sqrt.f64 (*.f64 x (cos.f64 y)))

rewrite52.0ms (0.8%)

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 x (cos.f64 y))) 2)
(sqrt.f64 (*.f64 x (cos.f64 y)))

Outputs

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

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

730×	`distribute-rgt-in_binary64`
695×	`distribute-lft-in_binary64`
439×	`unswap-sqr_binary64`
412×	`fma-def_binary64`
275×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	729
1	352	700
2	1121	654
3	4232	654

Stop Event

1×	node limit

Counts

74 → 81

Calls

Call 1

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

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

localize37.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series11.0ms (0.2%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	x	@	0	(*.f64 x (sqrt.f64 (cos.f64 y)))
1.0ms	y	@	inf	(*.f64 x (sqrt.f64 (cos.f64 y)))
1.0ms	y	@	-inf	(*.f64 x (sqrt.f64 (cos.f64 y)))
0.0ms	y	@	-inf	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-def_binary64`
420×	`log-prod_binary64`
390×	`times-frac_binary64`
349×	`fma-neg_binary64`
342×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1335
1	408	1275
2	1461	1211
3	5006	1172

Stop Event

1×	node limit

Counts

118 → 110

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
x
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (cos.f64 y)))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))) 2)
(sqrt.f64 (.f64 (cos.f64 y) (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (.f64 x (cos.f64 y)) 1) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 1)
(.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 1)
(.f64 1 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(pow.f64 (cos.f64 y) 1/2)
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))

Outputs
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
x
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/4 (.f64 x (.f64 y y)) x)
(fma.f64 -1/4 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 y (.f64 y -1/4) 1))
(+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/96 (.f64 x (pow.f64 y 4)) (fma.f64 -1/4 (.f64 x (*.f64 y y)) x))
(fma.f64 -1/96 (.f64 x (pow.f64 y 4)) (fma.f64 -1/4 (.f64 y (*.f64 y x)) x))
(.f64 x (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -19/5760 (.f64 x (pow.f64 y 6)) (fma.f64 -1/96 (.f64 x (pow.f64 y 4)) (fma.f64 -1/4 (.f64 x (.f64 y y)) x)))
(+.f64 (fma.f64 -1/4 (.f64 y (.f64 y x)) x) (.f64 x (fma.f64 -1/96 (pow.f64 y 4) (.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 x (.f64 x (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
(fma.f64 y z (.f64 x (fma.f64 (.f64 y y) -1/2 1)))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x)))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (.f64 x (fma.f64 (*.f64 y y) -1/2 1)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (.f64 -1/96 (pow.f64 y 4)))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (.f64 -19/5760 (pow.f64 y 6))))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (cos.f64 y)))) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) 3) 1/3)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))) 3)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(sqrt.f64 (.f64 (cos.f64 y) (.f64 x x)))
(fabs.f64 (*.f64 (sqrt.f64 (cos.f64 y)) x))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) 3))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3/2)))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 x 3)))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (.f64 x (cos.f64 y)) 1) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 1)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 1)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 1 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) 2))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x (.f64 (cos.f64 y) (.f64 (cos.f64 y) x)) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 (cos.f64 y) x) (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 x (.f64 (cos.f64 y) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (fma.f64 x (.f64 (cos.f64 y) (.f64 (cos.f64 y) x)) (neg.f64 (pow.f64 (.f64 z (sin.f64 y)) 2))) (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 y) (.f64 x x))) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 1)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 3)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 2))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2)
(pow.f64 (cos.f64 y) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (cos.f64 y)) 1))
(+.f64 (sqrt.f64 (cos.f64 y)) 0)
(sqrt.f64 (cos.f64 y))

eval128.0ms (1.9%)

Compiler: Compiled 9994 to 3636 computations (63.6% saved)

prune128.0ms (1.9%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	584	16	600
Fresh	6	8	14
Picked	1	0	1
Done	1	5	6
Total	592	29	621

Error

0.0b

Counts

621 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	31.9b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
▶	29.2b	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
▶	30.2b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
▶	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	18.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3/2))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.2b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	33.0b	(fma.f64 z y x)
✓	0.2b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 3)
	33.1b	(/.f64 (-.f64 (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 z z))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
	28.9b	(/.f64 (-.f64 (.f64 x (.f64 (cos.f64 y) (.f64 (cos.f64 y) x))) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	32.6b	(+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) 2) 2) (.f64 z (sin.f64 y)))
	43.6b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
	32.5b	(+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (.f64 x (cos.f64 y))))) (.f64 z (sin.f64 y)))
	1.0b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	41.6b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (.f64 z (sin.f64 y)))
	33.0b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
	18.1b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	33.0b	(+.f64 (*.f64 y z) x)
✓	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	38.0b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	17.8b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
✓	17.5b	(+.f64 x (*.f64 z (sin.f64 y)))
	24.4b	(*.f64 (cos.f64 y) x)
	39.5b	(*.f64 z (sin.f64 y))
▶	54.1b	(*.f64 y z)
	38.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 3))
	40.2b	x

Compiler

Compiled 791 to 500 computations (36.8% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 22 computations (55.1% saved)

series17.0ms (0.3%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
2.0ms	x	@	0	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
2.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))
2.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	176	30
2	1920	30

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-def_binary64`
500×	`log-prod_binary64`
359×	`fma-neg_binary64`
344×	`exp-prod_binary64`
339×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	1337
1	427	1276
2	1534	1223
3	4945	1216

Stop Event

1×	node limit

Counts

128 → 144

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 y (*.f64 -1/6 y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/405 (.f64 (.f64 -1/3 y) y)))
(fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (.f64 (.f64 -1/3 y) y))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.f64 (cos.f64 y)) 2)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (.f64 (pow.f64 y 4) 1/3))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 1) (*.f64 y y))
(+.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 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 (pow.f64 y 4) 1/3)))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 (pow.f64 y 4) 1/3 (.f64 (pow.f64 y 6) -2/45)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (fma.f64 (pow.f64 y 6) -2/45 1)) (*.f64 y y))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/3 (.f64 (.f64 y y) x) x)
(fma.f64 (.f64 (.f64 -1/3 y) y) x x)
(fma.f64 (.f64 y (.f64 y -1/3)) x x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/405 (.f64 (pow.f64 y 6) x) (fma.f64 -1/3 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 (pow.f64 y 6) -1/405 (.f64 (*.f64 -1/3 y) y))))
(.f64 x (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (.f64 y -1/3) 1)))
(.f64 (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (.f64 y -1/3) 1)) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(fma.f64 -1/405 (.f64 (pow.f64 y 6) x) (fma.f64 -1/3 (.f64 (.f64 y y) x) (fma.f64 -1/1701 (.f64 (pow.f64 y 8) x) x)))
(+.f64 (fma.f64 -1/1701 (.f64 (pow.f64 y 8) x) x) (.f64 x (fma.f64 (pow.f64 y 6) -1/405 (.f64 (.f64 -1/3 y) y))))
(+.f64 x (.f64 x (fma.f64 y (.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 (*.f64 -1/1701 (pow.f64 y 8))))))
(.f64 x (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (.f64 y -1/3) 1))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
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(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
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(*.f64 x (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))
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(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
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(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
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(*.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)
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(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
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(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
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(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
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(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
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(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))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(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 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (cos.f64 y) 2/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(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 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(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)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(*.f64 (cos.f64 y) (cos.f64 y))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(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 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)
(/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x) 3) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(sqrt.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x) 3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))

localize3.0ms (0%)

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	5.5b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series13.0ms (0.2%)

Counts

3 → 30

Calls

21 calls:

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

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
887×	`add-log-exp_binary64`
886×	`log1p-expm1-u_binary64`
886×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	214	21
2	2447	21

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

Outputs

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

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

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

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

694×	`times-frac_binary64`
665×	`unswap-sqr_binary64`
418×	`distribute-rgt-in_binary64`
391×	`distribute-lft-in_binary64`
262×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	185	1280
1	389	1251
2	1437	1251

Stop Event

1×	node limit

Counts

118 → 102

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 8 computations (74.2% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite41.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	177	12
2	2113	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

488×	`fma-neg_binary64`
462×	`distribute-rgt-in_binary64`
444×	`distribute-lft-in_binary64`
343×	`fma-def_binary64`
286×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	606
1	211	603
2	766	600
3	2725	575
4	7309	575

Stop Event

1×	node limit

Counts

57 → 44

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (+.f64 (.f64 1/16 x) (.f64 -1/48 x)) (pow.f64 y 4)) x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(+.f64 (.f64 (.f64 x (cos.f64 y)) 1) (*.f64 y z))
(-.f64 (+.f64 1 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 1)
(.f64 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y))) 1)
(.f64 1 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) (sqrt.f64 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 y z)))))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)))
(pow.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))))

Outputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 y (.f64 y x)) x))
(fma.f64 (.f64 y y) (.f64 x -1/2) (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (+.f64 (.f64 1/16 x) (.f64 -1/48 x)) (pow.f64 y 4)) x)))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (*.f64 x 1/24) (pow.f64 y 4) x)))
(fma.f64 y z (fma.f64 -1/2 (.f64 y (.f64 y x)) (fma.f64 (*.f64 x 1/24) (pow.f64 y 4) x)))
(fma.f64 -1/2 (.f64 y (.f64 y x)) (fma.f64 y z (fma.f64 (*.f64 x 1/24) (pow.f64 y 4) x)))
(fma.f64 y z (.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (*.f64 (pow.f64 y 4) 1/24))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 y z) (.f64 x (cos.f64 y)))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(+.f64 (.f64 (.f64 x (cos.f64 y)) 1) (*.f64 y z))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(-.f64 (+.f64 1 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 1)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(.f64 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y))) 1)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(.f64 1 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y)))) 2))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y)))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) (sqrt.f64 (+.f64 (.f64 y z) (*.f64 x (cos.f64 y)))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 y z) (.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x (.f64 (cos.f64 y) (.f64 (cos.f64 y) x)) (.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (.f64 (.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (.f64 y (neg.f64 z))))))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)))
(/.f64 (fma.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x) (neg.f64 (pow.f64 (.f64 y z) 2))) (-.f64 (.f64 (cos.f64 y) x) (*.f64 y z)))
(/.f64 (fma.f64 (cos.f64 y) (.f64 (cos.f64 y) (.f64 x x)) (neg.f64 (pow.f64 (.f64 y z) 2))) (fma.f64 (cos.f64 y) x (.f64 y (neg.f64 z))))
(/.f64 (fma.f64 y z (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y))) 1)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(pow.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 3)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(pow.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 2)
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(sqrt.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y))) 2))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(log.f64 (exp.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(cbrt.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y))) 3))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(expm1.f64 (log1p.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(log1p.f64 (expm1.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))
(exp.f64 (log.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 y z))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series9.0ms (0.1%)

Counts

3 → 33

Calls

18 calls:

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

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1088
1	299	995
2	1155	904
3	4324	865

Stop Event

1×	node limit

Counts

87 → 80

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
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eval133.0ms (2%)

Compiler: Compiled 9940 to 3542 computations (64.4% saved)

prune139.0ms (2.1%)

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	580	11	591
Fresh	5	14	19
Picked	1	0	1
Done	1	8	9
Total	587	33	620

Error

0.0b

Counts

620 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	30.3b	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (.f64 x (cos.f64 y)))
▶	0.3b	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	30.2b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
	30.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3/2))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
▶	0.6b	(fma.f64 (.f64 x (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.2b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	33.0b	(fma.f64 z y x)
✓	0.2b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	45.2b	(pow.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 2)
	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 3)
	23.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 3)
	33.1b	(/.f64 (-.f64 (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 z z))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
	32.6b	(+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) 2) 2) (.f64 z (sin.f64 y)))
	32.5b	(+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (.f64 x (cos.f64 y))))) (.f64 z (sin.f64 y)))
	1.0b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	41.6b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (.f64 z (sin.f64 y)))
▶	33.0b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
	18.1b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
✓	33.0b	(+.f64 (*.f64 y z) x)
✓	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	38.0b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	17.8b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
	40.1b	(+.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	31.7b	(+.f64 x (.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
	38.9b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
	31.7b	(+.f64 x (.f64 (sin.f64 y) (.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z))))
	38.1b	(+.f64 x (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
✓	17.5b	(+.f64 x (*.f64 z (sin.f64 y)))
	24.4b	(*.f64 (cos.f64 y) x)
▶	39.5b	(*.f64 z (sin.f64 y))
✓	54.1b	(*.f64 y z)
	38.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 3))
	40.2b	x

Compiler

Compiled 872 to 563 computations (35.4% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 26 computations (50.9% saved)

series13.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	z	@	0	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	y	@	inf	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	x	@	0	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
0.0ms	x	@	-inf	(fma.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log-prod_binary64`
388×	`pow-prod-down_binary64`
331×	`pow2_binary64`
232×	`pow-unpow_binary64`
231×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	287	25
2	3134	23

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
516×	`fma-neg_binary64`
238×	`times-frac_binary64`
231×	`sqr-pow_binary64`
216×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	1451
1	464	1409
2	1372	1392
3	4552	1362
4	7872	1362

Stop Event

1×	node limit

Counts

113 → 97

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 x) (.f64 -1/6 x))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 x) (.f64 -1/6 x))) x)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 0 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))))) 1)
(pow.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) 1)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))) 3)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))
(exp.f64 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x)) 1))
(exp.f64 (.f64 (.f64 3 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x))) 2))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 0 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (.f64 (.f64 x (cos.f64 y)) 1) (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1)
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 1)
(.f64 1 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))
(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (exp.f64 (.f64 x (cos.f64 y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (exp.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (.f64 (exp.f64 (.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 2))

Outputs
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
x
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/3 (.f64 x (.f64 y y)) x)
(fma.f64 -1/3 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 -1/3 (.f64 y y) 1))
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/405 (.f64 x (pow.f64 y 6)) (fma.f64 -1/3 (.f64 x (*.f64 y y)) x))
(fma.f64 -1/405 (.f64 x (pow.f64 y 6)) (fma.f64 -1/3 (.f64 y (*.f64 y x)) x))
(fma.f64 x (fma.f64 -1/405 (pow.f64 y 6) (.f64 -1/3 (.f64 y y))) x)
(fma.f64 x (fma.f64 -1/405 (pow.f64 y 6) (.f64 y (.f64 y -1/3))) x)
(+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) x)) x)))
(fma.f64 -1/405 (.f64 x (pow.f64 y 6)) (fma.f64 -1/3 (.f64 x (.f64 y y)) (fma.f64 -1/1701 (.f64 x (pow.f64 y 8)) x)))
(fma.f64 -1/405 (.f64 x (pow.f64 y 6)) (fma.f64 -1/3 (.f64 y (.f64 y x)) (fma.f64 -1/1701 (.f64 x (pow.f64 y 8)) x)))
(fma.f64 x (.f64 -1/405 (pow.f64 y 6)) (fma.f64 x (fma.f64 -1/3 (.f64 y y) (*.f64 -1/1701 (pow.f64 y 8))) x))
(.f64 x (+.f64 (fma.f64 -1/1701 (pow.f64 y 8) 1) (fma.f64 -1/405 (pow.f64 y 6) (.f64 y (*.f64 y -1/3)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 x) (.f64 -1/6 x))) x))
(fma.f64 y z (fma.f64 (.f64 y y) (.f64 x -1/2) x))
(fma.f64 y z (fma.f64 (.f64 y (.f64 y x)) -1/2 x))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 y z x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 x) (.f64 -1/6 x))) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 y y) (*.f64 x -1/2) x)))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 (.f64 y (*.f64 y x)) -1/2 x))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 x (.f64 (*.f64 y y) -1/2) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 0 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x))))
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))))) 1)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) 1)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 4) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 4))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))) 3)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 4))
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 4))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) x))
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))))))
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 2/3) (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x)) 1))
(exp.f64 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 2/3) (log.f64 (cos.f64 y))))
(exp.f64 (.f64 (.f64 3 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x))) 1/3))
(exp.f64 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 2/3) (log.f64 (cos.f64 y))))
(exp.f64 (.f64 (.f64 1/3 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x))) 3))
(exp.f64 (fma.f64 2/3 (log.f64 (cos.f64 y)) (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 2/3) (log.f64 (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 4))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 0 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (.f64 x (cos.f64 y)) 1) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 1 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) 1/2)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (exp.f64 (.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))) (exp.f64 (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (.f64 (exp.f64 (.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) 1))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1/3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) 2))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y z) (.f64 x (cos.f64 y)))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 2)
✓	4.8b	(sqrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y))))

Compiler

Compiled 44 to 11 computations (75% saved)

series22.0ms (0.3%)

Counts

3 → 60

Calls

27 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
415×	`prod-exp_binary64`
361×	`exp-prod_binary64`
347×	`pow-prod-down_binary64`
333×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	233	32
2	2713	32

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

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

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

960×	`times-frac_binary64`
477×	`distribute-rgt-in_binary64`
269×	`associate-r_binary64`
252×	`associate-l_binary64`
249×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	4365
1	1181	4272
2	3708	4245

Stop Event

1×	node limit

Counts

275 → 209

Calls

Call 1

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

Outputs
(sqrt.f64 x)
(+.f64 (.f64 1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 1/2 (.f64 y z)) (.f64 1/2 (.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))))))
(+.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 1/2) (+.f64 (.f64 y z) (.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 -1/4 (.f64 (/.f64 1 x) (.f64 z z))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/4 (.f64 (.f64 (pow.f64 y 3) (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 1 x)))) (fma.f64 -1/4 (.f64 (pow.f64 y 3) (.f64 (.f64 z (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 1/2 (.f64 y z)) (.f64 1/2 (.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))))))) (.f64 -1/4 (.f64 (pow.f64 y 3) (.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (.f64 z (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(+.f64 (+.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 1/2) (+.f64 (.f64 y z) (.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 -1/4 (.f64 (/.f64 1 x) (.f64 z z)))))))) (.f64 (.f64 z (.f64 (fma.f64 x -1/2 (.f64 -1/4 (.f64 (/.f64 1 x) (.f64 z z)))) (pow.f64 y 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/4)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))
(+.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (.f64 (.f64 1/2 (.f64 y z)) (sqrt.f64 (/.f64 1 (*.f64 x (cos.f64 y))))))
(fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (.f64 x (cos.f64 y))))) (sqrt.f64 (.f64 x (cos.f64 y))))
(fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 1 (.f64 x (cos.f64 y)))))) (sqrt.f64 (.f64 x (cos.f64 y))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (.f64 x (cos.f64 y))))) (.f64 (.f64 -1/8 (.f64 (.f64 y y) (.f64 z z))) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 3))))))
(+.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (.f64 x (cos.f64 y))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 3))) (pow.f64 (.f64 y z) 2)))))
(+.f64 (fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 1 (.f64 x (cos.f64 y)))))) (sqrt.f64 (.f64 x (cos.f64 y)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 3))) (.f64 -1/8 (pow.f64 (.f64 y z) 2))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))))))
(+.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (fma.f64 1/16 (.f64 (pow.f64 (.f64 y z) 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))))) (fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (.f64 x (cos.f64 y))))) (.f64 (.f64 -1/8 (.f64 (.f64 y y) (.f64 z z))) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3)))))))
(+.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (fma.f64 1/16 (.f64 (pow.f64 (.f64 y z) 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))))) (fma.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (.f64 x (cos.f64 y))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 3))) (pow.f64 (*.f64 y z) 2))))))
(+.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (fma.f64 1/16 (.f64 (pow.f64 (.f64 y z) 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))))) (fma.f64 1/2 (.f64 y (.f64 z (sqrt.f64 (/.f64 1 (.f64 x (cos.f64 y)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 3))) (.f64 -1/8 (pow.f64 (*.f64 y z) 2))))))
(sqrt.f64 (*.f64 y z))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y z))) (.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 y z)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y z))) (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 y z)))
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(fma.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(fma.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series8.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
437×	`pow-prod-down_binary64`
387×	`fma-def_binary64`
301×	`pow2_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	228	26
2	3002	26

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

557×	`distribute-rgt-in_binary64`
528×	`distribute-lft-in_binary64`
396×	`times-frac_binary64`
344×	`cancel-sign-sub-inv_binary64`
245×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	2512
1	823	2462
2	2811	2449

Stop Event

1×	node limit

Counts

182 → 169

Calls

Call 1

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

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

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f64 (+.f64 y y))
✓	0.3b	(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2))
	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.4b	(+.f64 1 (cos.f64 (+.f64 y y)))

Compiler

Compiled 79 to 35 computations (55.7% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2))
2.0ms	y	@	0	(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2))
2.0ms	y	@	-inf	(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2))
0.0ms	y	@	0	(+.f64 1 (cos.f64 (+.f64 y y)))
0.0ms	y	@	inf	(+.f64 1 (cos.f64 (+.f64 y y)))

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

981×	`pow1_binary64`
924×	`add-log-exp_binary64`
923×	`log1p-expm1-u_binary64`
923×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	201	29
2	2688	29

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(+.f64 1 (cos.f64 (+.f64 y y)))
(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2))
(cos.f64 (+.f64 y y))

Outputs

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

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

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

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
633×	`times-frac_binary64`
470×	`unswap-sqr_binary64`
348×	`associate-/l*_binary64`
258×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	1790
1	575	1689
2	2015	1626

Stop Event

1×	node limit

Counts

121 → 157

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -2 (pow.f64 y 2)))
(+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 2 (.f64 -2 (pow.f64 y 2))))
(+.f64 (.f64 -4/45 (pow.f64 y 6)) (+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 2 (*.f64 -2 (pow.f64 y 2)))))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))
(*.f64 (cbrt.f64 2) (cbrt.f64 1/2))
(+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 6) (.f64 (cbrt.f64 1/2) (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))))
(+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 6) (.f64 (cbrt.f64 1/2) (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (.f64 1/3 (/.f64 (.f64 (-.f64 2/315 (.f64 -2/3 (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (.f64 (pow.f64 y 8) (cbrt.f64 1/2))) (pow.f64 (cbrt.f64 2) 2))))))
(.f64 (pow.f64 (.f64 (+.f64 1 (cos.f64 (*.f64 2 y))) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 1 (cos.f64 (*.f64 2 y))) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 1 (cos.f64 (*.f64 2 y))) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 1 (cos.f64 (*.f64 2 y))) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))) 1/3) (cbrt.f64 1/2))
1
(+.f64 1 (*.f64 -2 (pow.f64 y 2)))
(+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 1 (.f64 -2 (pow.f64 y 2))))
(+.f64 (.f64 -4/45 (pow.f64 y 6)) (+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 1 (*.f64 -2 (pow.f64 y 2)))))
(cos.f64 (*.f64 2 y))
(cos.f64 (*.f64 2 y))
(cos.f64 (*.f64 2 y))
(cos.f64 (*.f64 2 y))
(cos.f64 (neg.f64 (*.f64 -2 y)))
(cos.f64 (neg.f64 (*.f64 -2 y)))
(cos.f64 (neg.f64 (*.f64 -2 y)))
(cos.f64 (neg.f64 (*.f64 -2 y)))
(-.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (pow.f64 (sin.f64 y) 2) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 (+.f64 y y))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 (+.f64 y y)))) (/.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) (-.f64 1 (cos.f64 (+.f64 y y)))))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) (pow.f64 (sin.f64 y) 2))
(*.f64 1 (+.f64 1 (cos.f64 (+.f64 y y))))
(*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) 2) (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 (+.f64 y y)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) (cos.f64 (+.f64 y y))))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 y y)) 2)) (/.f64 1 (-.f64 1 (cos.f64 (+.f64 y y)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) (cos.f64 (+.f64 y y)))) (+.f64 1 (pow.f64 (cos.f64 (+.f64 y y)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 (+.f64 y y))) (-.f64 1 (pow.f64 (cos.f64 (+.f64 y y)) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (+.f64 y y)) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) (cos.f64 (+.f64 y y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (+.f64 y y)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) (-.f64 1 (cos.f64 (+.f64 y y)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 y y)) 2)) (-.f64 1 (cos.f64 (+.f64 y y))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 (+.f64 y y)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) (cos.f64 (+.f64 y y))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 (+.f64 y y)) 2))) (neg.f64 (-.f64 1 (cos.f64 (+.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2) 1) (-.f64 (cos.f64 (+.f64 y y)) 1))
(pow.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 (+.f64 y y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 (+.f64 y y))))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 (+.f64 y y)))))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 (+.f64 y y)))))
(exp.f64 (log1p.f64 (cos.f64 (+.f64 y y))))
(fma.f64 1 (cos.f64 (+.f64 y y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 y y))) 2) (cbrt.f64 (cos.f64 (+.f64 y y))) 1)
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 y y))) (sqrt.f64 (cos.f64 (+.f64 y y))) 1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)))) 1)
(.f64 1 (cbrt.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)))
(.f64 (cbrt.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)) 1)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2))))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) (pow.f64 1/2 1/3))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) (/.f64 1 (cbrt.f64 2)))
(.f64 (pow.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2) 1/6) (pow.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2) 1/6))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 2 (+.f64 1 (cos.f64 (+.f64 y y))))))
(/.f64 1 (/.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y))))))
(/.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 y y))) -1)) (cbrt.f64 -2))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 (+.f64 y y))))) (neg.f64 (cbrt.f64 2)))
(pow.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1/2))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 (+.f64 y y))) (log.f64 1/2)) 1/3))
(+.f64 (cos.f64 (+.f64 y y)) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 y) (pow.f64 (sin.f64 y) 2)))
(+.f64 (pow.f64 (cos.f64 y) 2) (neg.f64 (pow.f64 (sin.f64 y) 2)))
(+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(-.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1)
(-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))
(*.f64 1 (cos.f64 (+.f64 y y)))
(*.f64 (cos.f64 (+.f64 y y)) 1)
(*.f64 (cbrt.f64 (cos.f64 (+.f64 y y))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 y y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 y y))) 2) (cbrt.f64 (cos.f64 (+.f64 y y))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 y y))) (sqrt.f64 (cos.f64 (+.f64 y y))))
(*.f64 (+.f64 (cos.f64 y) (sin.f64 y)) (-.f64 (cos.f64 y) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (cos.f64 (+.f64 y y)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 y y))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 y y))) 2)
(pow.f64 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 y y)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 y y)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 y y))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 y y))))
(exp.f64 (log.f64 (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 y) (cos.f64 y) (neg.f64 (pow.f64 (sin.f64 y) 2)))

Outputs
2
(+.f64 2 (*.f64 -2 (pow.f64 y 2)))
(+.f64 2 (.f64 -2 (.f64 y y)))
(fma.f64 -2 (*.f64 y y) 2)
(+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 2 (.f64 -2 (pow.f64 y 2))))
(fma.f64 2/3 (pow.f64 y 4) (+.f64 2 (.f64 -2 (.f64 y y))))
(fma.f64 2/3 (pow.f64 y 4) (fma.f64 -2 (*.f64 y y) 2))
(+.f64 (.f64 -4/45 (pow.f64 y 6)) (+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 2 (*.f64 -2 (pow.f64 y 2)))))
(fma.f64 -4/45 (pow.f64 y 6) (fma.f64 2/3 (pow.f64 y 4) (+.f64 2 (.f64 -2 (.f64 y y)))))
(fma.f64 -4/45 (pow.f64 y 6) (fma.f64 2/3 (pow.f64 y 4) (fma.f64 -2 (*.f64 y y) 2)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 -2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 -2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 -2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 -2 y)))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))
(+.f64 1 (cos.f64 (*.f64 -2 y)))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))
(+.f64 1 (cos.f64 (*.f64 -2 y)))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))
(+.f64 1 (cos.f64 (*.f64 -2 y)))
(+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))
(+.f64 1 (cos.f64 (*.f64 -2 y)))
(*.f64 (cbrt.f64 2) (cbrt.f64 1/2))
(+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(fma.f64 -2/3 (/.f64 (.f64 y y) (/.f64 (pow.f64 (cbrt.f64 2) 2) (cbrt.f64 1/2))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(fma.f64 (cbrt.f64 2) (cbrt.f64 1/2) (/.f64 (.f64 (.f64 -2/3 (*.f64 y y)) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2)))
(fma.f64 (cbrt.f64 2) (cbrt.f64 1/2) (/.f64 (.f64 -2/3 (.f64 y (*.f64 y (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 2) 2)))
(+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 6) (.f64 (cbrt.f64 1/2) (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))))
(fma.f64 -2/3 (/.f64 (.f64 y y) (/.f64 (pow.f64 (cbrt.f64 2) 2) (cbrt.f64 1/2))) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 y 6) (.f64 (cbrt.f64 1/2) (+.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 2) 6)) -4/45))) (pow.f64 (cbrt.f64 2) 2)) (.f64 (cbrt.f64 2) (cbrt.f64 1/2))))
(fma.f64 -2/3 (.f64 (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 1/2)) (fma.f64 1/3 (/.f64 (.f64 -2/135 (.f64 (pow.f64 y 6) (cbrt.f64 1/2))) (pow.f64 (cbrt.f64 2) 2)) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))))
(fma.f64 (cbrt.f64 2) (cbrt.f64 1/2) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 y y)) (.f64 (/.f64 (.f64 (pow.f64 y 6) 1/3) (pow.f64 (cbrt.f64 2) 2)) (*.f64 (cbrt.f64 1/2) -2/135))))
(+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 6) (.f64 (cbrt.f64 1/2) (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (.f64 1/3 (/.f64 (.f64 (-.f64 2/315 (.f64 -2/3 (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (.f64 (pow.f64 y 8) (cbrt.f64 1/2))) (pow.f64 (cbrt.f64 2) 2))))))
(fma.f64 -2/3 (/.f64 (.f64 y y) (/.f64 (pow.f64 (cbrt.f64 2) 2) (cbrt.f64 1/2))) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 y 6) (.f64 (cbrt.f64 1/2) (+.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 2) 6)) -4/45))) (pow.f64 (cbrt.f64 2) 2)) (fma.f64 (cbrt.f64 2) (cbrt.f64 1/2) (.f64 1/3 (/.f64 (-.f64 2/315 (.f64 -2/3 (+.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 2) 6)) -4/45))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (cbrt.f64 1/2) (pow.f64 y 8))))))))
(fma.f64 -2/3 (.f64 (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 1/2)) (fma.f64 1/3 (/.f64 (.f64 -2/135 (.f64 (pow.f64 y 6) (cbrt.f64 1/2))) (pow.f64 (cbrt.f64 2) 2)) (fma.f64 (cbrt.f64 2) (cbrt.f64 1/2) (/.f64 (.f64 -2/1701 (.f64 (cbrt.f64 1/2) (pow.f64 y 8))) (pow.f64 (cbrt.f64 2) 2)))))
(fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 y y)) (fma.f64 (cbrt.f64 2) (cbrt.f64 1/2) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 6) (pow.f64 (cbrt.f64 2) 2)) (.f64 (cbrt.f64 1/2) -2/135)) (.f64 (/.f64 -2/1701 (pow.f64 (cbrt.f64 2) 2)) (.f64 (cbrt.f64 1/2) (pow.f64 y 8))))))
(.f64 (pow.f64 (.f64 (+.f64 1 (cos.f64 (*.f64 2 y))) 1) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (.f64 -2 y)))))
(.f64 (pow.f64 (.f64 (+.f64 1 (cos.f64 (*.f64 2 y))) 1) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (.f64 -2 y)))))
(.f64 (pow.f64 (.f64 (+.f64 1 (cos.f64 (*.f64 2 y))) 1) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (.f64 -2 y)))))
(.f64 (pow.f64 (.f64 (+.f64 1 (cos.f64 (*.f64 2 y))) 1) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (.f64 -2 y)))))
(.f64 (pow.f64 (.f64 1 (+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (.f64 -2 y)))))
(.f64 (pow.f64 (.f64 1 (+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (.f64 -2 y)))))
(.f64 (pow.f64 (.f64 1 (+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (.f64 -2 y)))))
(.f64 (pow.f64 (.f64 1 (+.f64 1 (cos.f64 (neg.f64 (*.f64 -2 y))))) 1/3) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (.f64 -2 y)))))
1
(+.f64 1 (*.f64 -2 (pow.f64 y 2)))
(+.f64 (.f64 -2 (.f64 y y)) 1)
(fma.f64 -2 (*.f64 y y) 1)
(+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 1 (.f64 -2 (pow.f64 y 2))))
(fma.f64 2/3 (pow.f64 y 4) (+.f64 (.f64 -2 (.f64 y y)) 1))
(fma.f64 2/3 (pow.f64 y 4) (fma.f64 -2 (*.f64 y y) 1))
(fma.f64 -2 (*.f64 y y) (fma.f64 2/3 (pow.f64 y 4) 1))
(+.f64 (.f64 -4/45 (pow.f64 y 6)) (+.f64 (.f64 2/3 (pow.f64 y 4)) (+.f64 1 (*.f64 -2 (pow.f64 y 2)))))
(fma.f64 -4/45 (pow.f64 y 6) (fma.f64 2/3 (pow.f64 y 4) (+.f64 (.f64 -2 (.f64 y y)) 1)))
(fma.f64 -4/45 (pow.f64 y 6) (fma.f64 2/3 (pow.f64 y 4) (fma.f64 -2 (*.f64 y y) 1)))
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(cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (cos.f64 (*.f64 -2 y))) (log.f64 1/2))))
(cbrt.f64 (.f64 1/2 (exp.f64 (log1p.f64 (cos.f64 (.f64 -2 y))))))
(+.f64 (cos.f64 (+.f64 y y)) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 y) (pow.f64 (sin.f64 y) 2)))
(cos.f64 (*.f64 -2 y))
(+.f64 (pow.f64 (cos.f64 y) 2) (neg.f64 (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))
(+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))
(-.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 1)
(cos.f64 (*.f64 -2 y))
(-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))
(*.f64 1 (cos.f64 (+.f64 y y)))
(cos.f64 (*.f64 -2 y))
(*.f64 (cos.f64 (+.f64 y y)) 1)
(cos.f64 (*.f64 -2 y))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 y y))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 y y))) 2))
(cos.f64 (*.f64 -2 y))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 y y))) 2) (cbrt.f64 (cos.f64 (+.f64 y y))))
(cos.f64 (*.f64 -2 y))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 y y))) (sqrt.f64 (cos.f64 (+.f64 y y))))
(cos.f64 (*.f64 -2 y))
(*.f64 (+.f64 (cos.f64 y) (sin.f64 y)) (-.f64 (cos.f64 y) (sin.f64 y)))
(-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (+.f64 (pow.f64 (cos.f64 y) 4) (+.f64 (pow.f64 (sin.f64 y) 4) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (fma.f64 (pow.f64 (sin.f64 y) 2) 1 (pow.f64 (cos.f64 y) 4)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 6) (pow.f64 (sin.f64 y) 6)) (+.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 4)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))
(pow.f64 (cos.f64 (+.f64 y y)) 1)
(cos.f64 (*.f64 -2 y))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 y y))) 3)
(cos.f64 (*.f64 -2 y))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 y y))) 2)
(cos.f64 (*.f64 -2 y))
(pow.f64 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/3)
(cos.f64 (*.f64 -2 y))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 y y)) 2))
(cos.f64 (*.f64 -2 y))
(log.f64 (exp.f64 (cos.f64 (+.f64 y y))))
(cos.f64 (*.f64 -2 y))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 y y)))))
(cos.f64 (*.f64 -2 y))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 y y)) 3))
(cos.f64 (*.f64 -2 y))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 y y))))
(cos.f64 (*.f64 -2 y))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 y y))))
(cos.f64 (*.f64 -2 y))
(exp.f64 (log.f64 (cos.f64 (+.f64 y y))))
(cos.f64 (*.f64 -2 y))
(fma.f64 (cos.f64 y) (cos.f64 y) (neg.f64 (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))

eval307.0ms (4.6%)

Compiler: Compiled 17950 to 7771 computations (56.7% saved)

prune254.0ms (3.8%)

Pruning

35 alts after pruning (25 fresh and 10 done)

	Pruned	Kept	Total
New	877	10	887
Fresh	5	15	20
Picked	0	1	1
Done	3	9	12
Total	885	35	920

Error

0.0b

Counts

920 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	30.3b	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (.f64 x (cos.f64 y)))
	0.6b	(fma.f64 (.f64 x (pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2) 1/3)) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	30.2b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
	23.0b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 y z))
	30.2b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3/2))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
✓	0.6b	(fma.f64 (.f64 x (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.2b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	33.0b	(fma.f64 z y x)
✓	0.2b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	45.3b	(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) 1/4) 2) 2)
	45.3b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	52.4b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 3)
	23.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 x (cos.f64 y)))) 3)
	39.9b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
	33.1b	(/.f64 (-.f64 (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 z z))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
	32.5b	(+.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (.f64 x (cos.f64 y))))) (.f64 z (sin.f64 y)))
✓	33.0b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
	44.5b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
	18.1b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	37.2b	(+.f64 (.f64 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
✓	33.0b	(+.f64 (*.f64 y z) x)
✓	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	40.1b	(+.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	31.7b	(+.f64 x (.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
	38.9b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
	31.7b	(+.f64 x (.f64 (sin.f64 y) (.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z))))
	38.1b	(+.f64 x (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
✓	17.5b	(+.f64 x (*.f64 z (sin.f64 y)))
	41.2b	(.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y)))))
	24.4b	(*.f64 (cos.f64 y) x)
✓	39.5b	(*.f64 z (sin.f64 y))
✓	54.1b	(*.f64 y z)
	51.7b	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
	40.2b	x

Compiler

Compiled 507 to 328 computations (35.3% saved)

regimes159.0ms (2.4%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	x
39.0ms	y
26.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
24.0ms	z

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 737 to 233 computations (68.4% saved)

regimes32.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 99 to 43 computations (56.6% saved)

regimes58.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	y
17.0ms	z
13.0ms	x

Results

Error	Segments	Branch
7.1b	3	`x`
11.1b	6	`y`
9.1b	3	`z`

Compiler

Compiled 42 to 20 computations (52.4% saved)

bsearch98.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	1.3465007420864336e-14	0.001870292872166894
38.0ms	-1463.7347679118932	-9.099733566674991e-5

Results

35.0ms	80×	body	1024	valid
32.0ms	45×	body	512	valid
27.0ms	179×	body	256	valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

regimes120.0ms (1.8%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

82.0ms	z
24.0ms	y
12.0ms	x

Results

Error	Segments	Branch
12.2b	3	`x`
12.8b	5	`y`
15.9b	5	`z`

Compiler

Compiled 36 to 19 computations (47.2% saved)

bsearch53.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	6.593343277049631e-20	3.6802641982277486e-19
28.0ms	-4.895311761622206e-52	-7.223687353607658e-54

Results

22.0ms	50×	body	1024	valid
21.0ms	134×	body	256	valid
7.0ms	24×	body	512	valid

Compiler

Compiled 226 to 169 computations (25.2% saved)

regimes45.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
14.0ms	z
11.0ms	y

Results

Error	Segments	Branch
25.1b	3	`x`
18.8b	3	`y`
28.5b	4	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch65.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.00036561045032935913	5396.096267603743
21.0ms	-3.69829633178181	-0.02405306344521114

Results

62.0ms

256×

body

256

valid

Compiler

Compiled 290 to 205 computations (29.3% saved)

regimes11.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
33.0b	1	`x`
33.0b	1	`y`
33.0b	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes34.0ms (0.5%)

Accuracy

Total -27.0b remaining (-76%)

Threshold costs -27.0b (-76%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

Outputs
x
(*.f64 y z)
x

Calls

3 calls:

14.0ms	z
11.0ms	x
8.0ms	y

Results

Error	Segments	Branch
35.5b	3	`x`
39.0b	3	`y`
38.9b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch57.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	4.839855732781568e-126	6.21509841861577e-124
21.0ms	-3.447235972502688e-191	-1.1505456194576759e-191

Results

23.0ms	122×	body	256	valid
20.0ms	36×	body	1024	valid
12.0ms	34×	body	512	valid

Compiler

Compiled 162 to 121 computations (25.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	146
1	46	146

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -7782220156096217/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 x 1890791267555229/2305843009213693952) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -1725436586697641/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 (cos.f64 y) x) (if (<=.f64 x 4984604984193435/41538374868278621028243970633760768) (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -7493989779944505/288230376151711744) (.f64 z (sin.f64 y)) (if (<=.f64 y 4496393867966703/576460752303423488) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 x -8347383632828229/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) x (if (<=.f64 x 7926314678536699/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (*.f64 y z) x))
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(if (<=.f64 x -7782220156096217/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 x 1890791267555229/2305843009213693952) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -7782220156096217/576460752303423488) (.f64 x (cos.f64 y)) (if (<=.f64 x 1890791267555229/2305843009213693952) (+.f64 x (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 x -1725436586697641/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 (cos.f64 y) x) (if (<=.f64 x 4984604984193435/41538374868278621028243970633760768) (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -1725436586697641/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 x (cos.f64 y)) (if (<=.f64 x 4984604984193435/41538374868278621028243970633760768) (.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(if (<=.f64 y -7493989779944505/288230376151711744) (.f64 z (sin.f64 y)) (if (<=.f64 y 4496393867966703/576460752303423488) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (<=.f64 y -7493989779944505/288230376151711744) (.f64 (sin.f64 y) z) (if (<=.f64 y 4496393867966703/576460752303423488) (+.f64 x (.f64 y z)) (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 x -8347383632828229/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) x (if (<=.f64 x 7926314678536699/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (*.f64 y z) x))
x

Compiler

Compiled 123 to 73 computations (40.7% saved)

soundness0.0ms (0%)

end63.0ms (0.9%)

Compiler: Compiled 102 to 36 computations (64.7% saved)