Details

analyze517.0ms (4.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
56.2%	43.7%	0.1%	10
65.5%	34.3%	0.1%	11
65.5%	34.3%	0.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.9s (23.4%)

Results

1.3s	5106×	body	256	valid
1.2s	2094×	body	1024	valid
388.0ms	1049×	body	512	valid
7.0ms	7×	body	2048	valid

preprocess18.0ms (0.1%)

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)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 x (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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series12.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite81.0ms (0.7%)

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	27
1	187	27
2	2497	27

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

simplify215.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

682×	`sqr-pow_binary64`
626×	`cube-prod_binary64`
461×	`*-commutative_binary64`
443×	`pow-sqr_binary64`
374×	`unpow3_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	702
1	171	691
2	456	673
3	1449	672
4	2194	672
5	3286	672
6	3472	672
7	3706	672
8	3974	672
9	4333	672
10	4750	672
11	5246	672
12	5824	672
13	6512	672
14	7024	672
15	7416	672
16	7802	672

Stop Event

1×	node limit

Counts

235 → 198

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)))))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(*.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)))

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 x (fma.f64 -1/2 (.f64 y y) 1))
(+.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))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 -1/2 (.f64 y y))) x)
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))) 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)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 1/24 (pow.f64 y 4))) (.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(*.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 (fma.f64 -1/6 (pow.f64 y 3) y))
(+.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 (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.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))))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) y))))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) 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 (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))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 y z x))
(fma.f64 x (.f64 y (.f64 y -1/2)) (fma.f64 y z 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)))
(+.f64 (fma.f64 -1/2 (.f64 y (.f64 y x)) x) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (.f64 x (fma.f64 -1/2 (.f64 y y) 1)))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) x (.f64 z (fma.f64 -1/6 (pow.f64 y 3) 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 (.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)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	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)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.4%)

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)))))))))

simplify167.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
757×	`sqr-pow_binary64`
556×	`distribute-lft-out_binary64`
475×	`*-commutative_binary64`
374×	`pow-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	394
1	67	394
2	160	393
3	420	391
4	1357	388
5	2745	388
6	4214	388
7	4332	388
8	4505	388
9	4713	388
10	5051	388
11	5409	388
12	5885	388
13	6428	388
14	7088	388
15	7918	388

Stop Event

1×	node limit

Counts

57 → 33

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)))

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

eval63.0ms (0.5%)

Compiler: Compiled 4413 to 1491 computations (66.2% saved)

prune101.0ms (0.8%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	286	20	306
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	286	22	308

Error

0.0b

Counts

308 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	33.3b	(fma.f64 z y (fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x))
	33.2b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (cos.f64 y)))
	32.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	39.1b	x
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
	2.5b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	32.4b	(/.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))))
	31.1b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
▶	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	38.0b	(*.f64 z (sin.f64 y))
	31.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)) (.f64 x (cos.f64 y)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (expm1.f64 (log1p.f64 (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)))
▶	17.3b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	32.1b	(+.f64 (*.f64 y z) x)
	24.5b	(*.f64 (cos.f64 y) x)
	31.7b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
▶	17.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 605 to 404 computations (33.2% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
✓	0.1b	(expm1.f64 (log1p.f64 (sin.f64 y)))
	0.2b	(*.f64 x (cos.f64 y))
✓	0.3b	(log1p.f64 (sin.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series93.0ms (0.8%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	y	@	inf	(log1p.f64 (sin.f64 y))
40.0ms	y	@	-inf	(log1p.f64 (sin.f64 y))
1.0ms	y	@	0	(log1p.f64 (sin.f64 y))
1.0ms	y	@	0	(expm1.f64 (log1p.f64 (sin.f64 y)))
1.0ms	y	@	0	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	117	14
2	1354	14

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

Outputs

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

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

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

simplify161.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

956×	`fma-def_binary64`
887×	`distribute-lft-out_binary64`
570×	`sqr-pow_binary64`
452×	`associate-l_binary64`
309×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	358
1	141	346
2	351	334
3	1095	328
4	3198	328
5	4339	328
6	5877	328
7	6139	328
8	6429	328
9	6710	328
10	7136	328
11	7663	328

Stop Event

1×	node limit

Counts

93 → 69

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(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 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.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 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))

Outputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(fma.f64 -1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y -1/2) y)
(*.f64 y (fma.f64 y -1/2 1))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 -1/2 (.f64 y y) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 y (*.f64 y (fma.f64 y 1/6 -1/2)) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) y) (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/12 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/12 (pow.f64 y 4) y)))
(fma.f64 y (*.f64 y (fma.f64 y 1/6 -1/2)) (fma.f64 -1/12 (pow.f64 y 4) y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 y 3) -1/6 y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 y))
(*.f64 (fma.f64 (pow.f64 y 3) -1/6 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))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y)) 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)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 (pow.f64 y 3) -1/6 y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)

localize5.0ms (0%)

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)

series4.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite94.0ms (0.8%)

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)))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.2b	(*.f64 x (cos.f64 y))
✓	0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 3)
✓	33.4b	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series16.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
2.0ms	y	@	0	(pow.f64 (*.f64 z (sin.f64 y)) 3)
2.0ms	y	@	inf	(pow.f64 (*.f64 z (sin.f64 y)) 3)
2.0ms	y	@	-inf	(pow.f64 (*.f64 z (sin.f64 y)) 3)
1.0ms	z	@	0	(pow.f64 (*.f64 z (sin.f64 y)) 3)

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

simplify199.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-def_binary64`
488×	`distribute-rgt-in_binary64`
482×	`distribute-lft-in_binary64`
476×	`associate-l_binary64`
434×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	625
1	235	610
2	866	565
3	4542	565
4	7126	562
5	7250	562
6	7387	562
7	7541	562
8	7729	562
9	7919	562

Stop Event

1×	node limit

Counts

102 → 72

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 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(*.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 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 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (.f64 z (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/2520 (pow.f64 z 2)))) (+.f64 (.f64 -1/5040 (pow.f64 z 3)) (.f64 -1/360 (pow.f64 z 3)))))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3))))))))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))

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 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (.f64 (.f64 z (sin.f64 y)) (cbrt.f64 -1)))
(neg.f64 (.f64 z (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 -1)) (neg.f64 z))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (.f64 (.f64 z (sin.f64 y)) (cbrt.f64 -1)))
(neg.f64 (.f64 z (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 -1)) (neg.f64 z))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (.f64 (.f64 z (sin.f64 y)) (cbrt.f64 -1)))
(neg.f64 (.f64 z (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 -1)) (neg.f64 z))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (.f64 (.f64 z (sin.f64 y)) (cbrt.f64 -1)))
(neg.f64 (.f64 z (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 -1)) (neg.f64 z))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z y))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.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)) (fma.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 z y (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (.f64 -1/5040 (pow.f64 y 7)))))
(.f64 z (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) 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 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(pow.f64 (*.f64 z y) 3)
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(fma.f64 (.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 5) (.f64 (pow.f64 z 3) -1/2)))
(.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (.f64 (pow.f64 y 5) -1/2)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3)))))))
(fma.f64 (.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 z z) 2/45) z (*.f64 (pow.f64 z 3) 23/360)))))
(fma.f64 (pow.f64 y 5) (.f64 (pow.f64 z 3) -1/2) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (pow.f64 z 3) 23/360 (*.f64 (pow.f64 z 3) 2/45)))))
(fma.f64 (pow.f64 y 7) (.f64 (pow.f64 z 3) 13/120) (.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (.f64 z (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/2520 (pow.f64 z 2)))) (+.f64 (.f64 -1/5040 (pow.f64 z 3)) (.f64 -1/360 (pow.f64 z 3)))))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3))))))))
(fma.f64 (.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 z (.f64 (.f64 z z) 2/45)) (fma.f64 z (.f64 (.f64 z z) -1/315) (.f64 (pow.f64 z 3) -1/336))) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 z z) 2/45) z (*.f64 (pow.f64 z 3) 23/360))))))
(fma.f64 (pow.f64 y 5) (.f64 (pow.f64 z 3) -1/2) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 z 3) 2/45) (fma.f64 (pow.f64 z 3) -1/336 (.f64 (pow.f64 z 3) -1/315))) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (pow.f64 z 3) 23/360 (*.f64 (pow.f64 z 3) 2/45))))))
(fma.f64 (pow.f64 y 9) (+.f64 (.f64 (pow.f64 z 3) -1/135) (.f64 (pow.f64 z 3) -31/5040)) (fma.f64 (pow.f64 y 7) (.f64 (pow.f64 z 3) 13/120) (.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2)))))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.2b	(*.f64 x (cos.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series28.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-l_binary64`
652×	`associate-r_binary64`
581×	`fma-def_binary64`
426×	`distribute-rgt-out_binary64`
242×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	527
1	306	481
2	1000	416
3	5848	390

Stop Event

1×	node limit

Counts

76 → 71

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)

Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (.f64 (.f64 x -1/2) (*.f64 y y)))
(fma.f64 (.f64 x -1/2) (.f64 y y) x)
(fma.f64 (.f64 x (.f64 y y)) -1/2 x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))))))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (fma.f64 x 1/18 (.f64 x -1/72))) x))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (.f64 x 1/24)) x))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(+.f64 x (fma.f64 (fma.f64 -1/6 (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) -1/9)) (fma.f64 1/3 (.f64 1 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 -1/9 (.f64 x -1/24))))) (pow.f64 y 6) (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))))))))
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (.f64 (.f64 -1/9 x) -1/24)) (.f64 (cbrt.f64 x) (+.f64 (.f64 -1/6 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x))))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72)))) (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 -1/9 x) -1/24)))))) (pow.f64 y 6) (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18)))))))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 2/3 (+.f64 (.f64 x 7/2160) (.f64 x -1/72))) (.f64 x 1/216)))) (fma.f64 1/3 (+.f64 (.f64 x 7/2160) (.f64 x -1/72)) (.f64 x 1/216))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (fma.f64 x 1/18 (*.f64 x -1/72))) x)))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 2/3 (.f64 x -23/2160)) (.f64 x 1/216)))) (fma.f64 1/3 (.f64 x -23/2160) (.f64 x 1/216))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/24)) x)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 -1/6 (cbrt.f64 x)) (*.f64 y y)))
(fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 x)) (cbrt.f64 x))
(fma.f64 (.f64 y y) (.f64 -1/6 (cbrt.f64 x)) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 (.f64 -1/6 (cbrt.f64 x)) (*.f64 y y))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 x (.f64 -1/24 (pow.f64 y 4)))) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 x)))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/72)) (fma.f64 (.f64 y y) (*.f64 -1/6 (cbrt.f64 x)) (cbrt.f64 x)))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216))) (.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 (.f64 -1/6 (cbrt.f64 x)) (*.f64 y y)))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (pow.f64 y 6))) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 x (.f64 -1/24 (pow.f64 y 4)))))) (fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 (+.f64 (.f64 x 7/2160) (.f64 x -1/72)) (pow.f64 y 6)) (.f64 x (.f64 (pow.f64 y 4) -1/24)))) (fma.f64 (.f64 y y) (*.f64 -1/6 (cbrt.f64 x)) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 x (.f64 (pow.f64 y 4) -1/24)) (.f64 (.f64 x -23/2160) (pow.f64 y 6)))) (fma.f64 (.f64 y y) (.f64 -1/6 (cbrt.f64 x)) (cbrt.f64 x)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite84.0ms (0.7%)

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

((#(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)))))))))

simplify173.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1908×	`fma-def_binary64`
679×	`sqr-pow_binary64`
417×	`cube-prod_binary64`
398×	`*-commutative_binary64`
358×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	53	668
1	134	665
2	345	656
3	1111	654
4	1774	654
5	2772	654
6	2875	654
7	3039	654
8	3209	649
9	5026	649
10	5349	649
11	5744	649
12	6253	649
13	6820	649
14	7598	649

Stop Event

1×	node limit

Counts

118 → 80

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)
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 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)))

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)
(.f64 (fma.f64 -1/4 (.f64 y y) 1) 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)) (.f64 (fma.f64 -1/4 (*.f64 y y) 1) x))
(.f64 x (fma.f64 -1/4 (.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(.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 (.f64 (fma.f64 -1/4 (.f64 y y) 1) 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 x (fma.f64 y (.f64 y -1/4) (fma.f64 -19/5760 (pow.f64 y 6) (fma.f64 -1/96 (pow.f64 y 4) 1))))
(*.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)
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 -19/5760 (pow.f64 y 6) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(*.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)
(+.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 x (.f64 y y)) -1/2 x))
(fma.f64 y z (fma.f64 x (.f64 (.f64 y y) -1/2) x))
(fma.f64 y z (fma.f64 (.f64 y y) (.f64 x -1/2) x))
(fma.f64 y (fma.f64 -1/2 (*.f64 y x) 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 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 x (*.f64 y y)) -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))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 (.f64 y y) (*.f64 x -1/2) x))
(fma.f64 y (fma.f64 y (.f64 x -1/2) (.f64 (fma.f64 y (*.f64 y -1/6) 1) z)) x)
(fma.f64 y (fma.f64 y (.f64 x -1/2) (.f64 z (fma.f64 y (*.f64 y -1/6) 1))) x)
(fma.f64 y (fma.f64 -1/2 (.f64 y x) z) (fma.f64 z (.f64 -1/6 (pow.f64 y 3)) 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 (.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))

eval155.0ms (1.3%)

Compiler: Compiled 10205 to 4091 computations (59.9% saved)

prune158.0ms (1.3%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	570	17	587
Fresh	12	3	15
Picked	1	0	1
Done	3	3	6
Total	586	23	609

Error

0.0b

Counts

609 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	29.0b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
	33.3b	(fma.f64 z y (fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x))
▶	15.2b	(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
	7.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
	17.4b	(fma.f64 (.f64 x (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1)) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
	24.5b	(*.f64 (cos.f64 y) x)
▶	1.0b	(+.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3) (.f64 z (sin.f64 y)))
	2.5b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	32.4b	(/.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))))
✓	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
▶	31.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2)
	30.9b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
	31.4b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
▶	54.5b	(*.f64 y z)
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	39.1b	x
	33.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	32.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	38.0b	(*.f64 z (sin.f64 y))

Compiler

Compiled 618 to 417 computations (32.5% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))
	0.2b	(*.f64 x (cos.f64 y))
✓	0.6b	(cbrt.f64 (sin.f64 y))
✓	0.8b	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series18.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
1.0ms	z	@	0	(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))
1.0ms	z	@	inf	(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))

rewrite140.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`pow1_binary64`
592×	`add-log-exp_binary64`
592×	`log1p-expm1-u_binary64`
592×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1658	14

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify309.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1161×	`fma-def_binary64`
762×	`sqr-pow_binary64`
662×	`cube-prod_binary64`
400×	`unswap-sqr_binary64`
379×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	284
1	90	257
2	219	246
3	618	244
4	1630	242
5	2524	242
6	2799	242
7	3393	242
8	3524	242
9	3709	242
10	3983	242
11	4479	242
12	5080	242
13	5895	242
14	6918	242
15	7594	242

Stop Event

1×	node limit

Counts

90 → 61

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(*.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 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.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 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))

Outputs
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.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 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.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)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.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 (fma.f64 -1/5040 (pow.f64 y 7) (.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)

localize8.0ms (0.1%)

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
	0.1b	(expm1.f64 (log1p.f64 (sin.f64 y)))
	0.3b	(log1p.f64 (sin.f64 y))

Compiler

Compiled 29 to 8 computations (72.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 12 computations (76% saved)

series18.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
2.0ms	z	@	inf	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2)
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2)

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
397×	`exp-prod_binary64`
368×	`pow-prod-down_binary64`
336×	`fma-def_binary64`
294×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	252	26
2	2931	26

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

simplify184.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

756×	`fma-def_binary64`
454×	`times-frac_binary64`
408×	`*-commutative_binary64`
373×	`unswap-sqr_binary64`
310×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	990
1	446	976
2	1606	933
3	6299	917

Stop Event

1×	node limit

Counts

155 → 153

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) 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 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 3)) (.f64 z (sin.f64 y)))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 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 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))))))
(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 1/2 (.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 z) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (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))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))

Outputs
(*.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 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (+.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 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) x))
(fma.f64 y z (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 z z) x) (.f64 x -1/2)) (pow.f64 (.f64 1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) x))
(fma.f64 y z (fma.f64 (.f64 y y) (-.f64 (fma.f64 x -1/2 (/.f64 1/4 (/.f64 x (.f64 z z)))) (pow.f64 (.f64 z (.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) 2)) x))
(fma.f64 y z (fma.f64 y (.f64 y (fma.f64 x -1/2 (.f64 1/4 (-.f64 (/.f64 z (/.f64 x z)) (.f64 (.f64 z z) (/.f64 1 x)))))) x))
(fma.f64 y z (fma.f64 y (.f64 y (fma.f64 x -1/2 (.f64 (.f64 z z) (-.f64 (/.f64 1/4 x) (.f64 1/4 (/.f64 1 x)))))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2))) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 z z) x) (.f64 x -1/2)) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) x)))
(fma.f64 y z (fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 (.f64 y y) (-.f64 (fma.f64 x -1/2 (/.f64 1/4 (/.f64 x (.f64 z z)))) (pow.f64 (.f64 z (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) 2)) x)))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 y (.f64 y (fma.f64 x -1/2 (.f64 1/4 (-.f64 (/.f64 z (/.f64 x z)) (.f64 (*.f64 z z) (/.f64 1 x)))))) x))
(fma.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (fma.f64 y (.f64 y (fma.f64 x -1/2 (.f64 (.f64 z z) (-.f64 (/.f64 1/4 x) (*.f64 1/4 (/.f64 1 x)))))) x))
(+.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 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 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y)))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))))) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 3)) (.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))
(fma.f64 1/2 (.f64 (sin.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (sqrt.f64 (.f64 (cos.f64 y) x)))
(fma.f64 (.f64 z (sin.f64 y)) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y)))) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x)))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) (pow.f64 x 3)))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (.f64 z (sin.f64 y)) 1/2))))
(fma.f64 z (.f64 1/2 (.f64 (sin.f64 y) (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y))))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) -1/8)) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x)))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) (pow.f64 x 3))))))))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 y) (.f64 z (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (sqrt.f64 (.f64 (cos.f64 y) x))) (fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))) (.f64 1/16 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))) (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 z 3) 1/16)) (.f64 (.f64 z (sin.f64 y)) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y)))))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) -1/8)) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(sqrt.f64 x)
(+.f64 (.f64 1/2 (.f64 (*.f64 y 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))
(fma.f64 y (.f64 z (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.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 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (.f64 y z) 1/2) (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 x -1/2) (pow.f64 (.f64 z (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) 2))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 y z) (.f64 y (.f64 y (fma.f64 x -1/2 (.f64 -1/4 (.f64 (*.f64 z z) (/.f64 1 x)))))))) (sqrt.f64 x))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y (+.f64 z (.f64 y (fma.f64 x -1/2 (.f64 -1/4 (.f64 (.f64 z z) (/.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 3) (-.f64 (.f64 -1/6 z) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (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 (.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 3) (-.f64 (.f64 z -1/6) (.f64 1/2 (/.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))))) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 (-.f64 (.f64 x -1/2) (pow.f64 (.f64 z (.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) 2)) (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (.f64 y z) 1/2) (.f64 (.f64 1/2 (pow.f64 y 3)) (fma.f64 z -1/6 (.f64 -1/2 (/.f64 z (/.f64 x (-.f64 (.f64 x -1/2) (pow.f64 (.f64 z (*.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) 2))))))))))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 1/2 (+.f64 (.f64 y z) (.f64 (pow.f64 y 3) (fma.f64 z -1/6 (/.f64 (.f64 z -1/2) (/.f64 x (fma.f64 x -1/2 (.f64 -1/4 (.f64 (.f64 z z) (/.f64 1 x)))))))))) (.f64 (fma.f64 x -1/2 (.f64 -1/4 (.f64 (.f64 z z) (/.f64 1 x)))) (.f64 (.f64 y y) 1/2)))))
(+.f64 (sqrt.f64 x) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 y 3) (.f64 z (-.f64 -1/6 (/.f64 (.f64 1/2 (fma.f64 x -1/2 (.f64 -1/4 (.f64 (.f64 z z) (/.f64 1 x))))) x)))) (.f64 y (+.f64 z (.f64 y (fma.f64 x -1/2 (.f64 -1/4 (.f64 (*.f64 z z) (/.f64 1 x))))))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 1/2 (.f64 (cos.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))))))
(fma.f64 1/2 (.f64 (cos.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (sqrt.f64 (.f64 z (sin.f64 y))))
(fma.f64 (.f64 (cos.f64 y) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y))))) (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (fma.f64 1/2 (.f64 (cos.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (fma.f64 -1/8 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) (.f64 (*.f64 (cos.f64 y) x) 1/2))))
(fma.f64 (cos.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 1/2 (.f64 (cos.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))))))
(+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (fma.f64 1/16 (.f64 (pow.f64 x 3) (.f64 (pow.f64 (cos.f64 y) 3) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (sin.f64 y) 5))))) (fma.f64 -1/8 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))) (.f64 (*.f64 (cos.f64 y) x) 1/2)))))
(fma.f64 (pow.f64 (cos.f64 y) 3) (.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (sin.f64 y) 5))))) (fma.f64 (cos.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (sin.f64 y) 3))))) (sqrt.f64 (*.f64 z (sin.f64 y))))))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
✓	0.4b	(cbrt.f64 (cos.f64 y))
✓	0.6b	(cbrt.f64 x)
✓	0.8b	(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3)

Compiler

Compiled 47 to 15 computations (68.1% saved)

series13.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
717×	`add-log-exp_binary64`
717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
695×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	186	22
2	2049	22

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

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

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

679×	`associate-l_binary64`
663×	`associate-r_binary64`
633×	`fma-def_binary64`
443×	`distribute-rgt-out_binary64`
261×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	619
1	332	567
2	1068	496
3	6055	470

Stop Event

1×	node limit

Counts

113 → 102

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
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)
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)

Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (.f64 (.f64 x -1/2) (*.f64 y y)))
(fma.f64 (.f64 x -1/2) (.f64 y y) x)
(fma.f64 x (.f64 (.f64 y y) -1/2) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)))))))
(+.f64 x (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 x (.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))))))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 x 1/18 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (.f64 x -1/72))) x))
(fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (.f64 x 1/24)) x))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 1 1/3))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) x)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/24 x) (.f64 1/12 x)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(+.f64 x (fma.f64 (fma.f64 -1/6 (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) -1/9)) (fma.f64 1/3 (.f64 1 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216)))) (.f64 -1/9 (.f64 x -1/24))))) (pow.f64 y 6) (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/3 (.f64 x -1/24)) (fma.f64 1/18 x (.f64 (fma.f64 2/3 (.f64 (.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))))))))
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (.f64 (.f64 x -1/24) -1/9)) (.f64 (cbrt.f64 x) (+.f64 (.f64 -1/6 (fma.f64 2/3 (.f64 x (.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (.f64 1/36 (cbrt.f64 (.f64 x x))))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72)))) (.f64 (.f64 x -1/24) (.f64 (cbrt.f64 (/.f64 1 x)) -1/9)))))) (pow.f64 y 6) (fma.f64 (.f64 x -1/2) (.f64 y y) (.f64 (pow.f64 y 4) (fma.f64 1/3 (.f64 x -1/24) (fma.f64 (fma.f64 2/3 (.f64 x (.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18)))))))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 2/3 (+.f64 (.f64 x 7/2160) (.f64 x -1/72))) (.f64 x 1/216)))) (fma.f64 1/3 (+.f64 (.f64 x 7/2160) (.f64 x -1/72)) (.f64 x 1/216))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 x 1/18 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x -1/72))) x)))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 2/3 (.f64 x -23/2160)) (.f64 x 1/216)))) (fma.f64 1/3 (.f64 x -23/2160) (.f64 x 1/216))) (pow.f64 y 6) (fma.f64 x (.f64 (.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (.f64 x -1/36) (.f64 1/36 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/24)) x)))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(.f64 1 (.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.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 (pow.f64 y 4) -1/72 (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 (pow.f64 y 4) -1/72 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 (pow.f64 y 6) -23/6480 (fma.f64 (pow.f64 y 4) -1/72 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 -1/6 (*.f64 y y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 x) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 x))))
(fma.f64 (.f64 -1/6 (cbrt.f64 x)) (.f64 y y) (cbrt.f64 x))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 x)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (.f64 x -1/24) (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 -1/6 (.f64 y (*.f64 y (cbrt.f64 x))))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/72)) (.f64 (fma.f64 -1/6 (*.f64 y y) 1) (cbrt.f64 x)))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 x) (.f64 1/12 x))) (.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (.f64 1/12 x))))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/3 (.f64 x -1/24) (.f64 x -1/216))) (.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 4) (.f64 x -1/24))) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 x))))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (-.f64 (.f64 x -1/720) (fma.f64 x -1/216 (.f64 x 1/72))) (.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 (.f64 x -1/24) (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 x x))))))) (fma.f64 (.f64 -1/6 (cbrt.f64 x)) (.f64 y y) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 (+.f64 (.f64 x 7/2160) (.f64 x -1/72)) (pow.f64 y 6)) (.f64 x (.f64 (pow.f64 y 4) -1/24)))) (.f64 (fma.f64 -1/6 (*.f64 y y) 1) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (+.f64 (.f64 x (.f64 (pow.f64 y 4) -1/24)) (.f64 (.f64 x -23/2160) (pow.f64 y 6)))) (.f64 (fma.f64 -1/6 (.f64 y y) 1) (cbrt.f64 x)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))

eval191.0ms (1.5%)

Compiler: Compiled 9517 to 4302 computations (54.8% saved)

prune274.0ms (2.2%)

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	530	8	538
Fresh	5	10	15
Picked	0	1	1
Done	1	6	7
Total	536	25	561

Error

0.0b

Counts

561 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	29.0b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y z))
▶	33.3b	(fma.f64 z y (fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x))
✓	15.2b	(+.f64 x (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
	42.5b	(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3/2)) 2)
	22.5b	(+.f64 x (*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	30.9b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
	51.1b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
▶	43.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
✓	1.0b	(+.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3) (.f64 z (sin.f64 y)))
	2.5b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
✓	0.9b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	40.2b	(+.f64 x (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
	31.4b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
✓	54.5b	(*.f64 y z)
▶	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	39.1b	x
▶	38.0b	(*.f64 z (sin.f64 y))
	17.4b	(fma.f64 (.f64 x (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1)) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	33.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	24.5b	(*.f64 (cos.f64 y) x)
	15.6b	(+.f64 x (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
✓	31.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2)

Compiler

Compiled 568 to 390 computations (31.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 18 computations (64.7% saved)

series33.0ms (0.3%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	z	@	0	(*.f64 (cbrt.f64 z) (sin.f64 y))
2.0ms	y	@	inf	(*.f64 (cbrt.f64 z) (sin.f64 y))
1.0ms	z	@	-inf	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
1.0ms	y	@	0	(*.f64 (cbrt.f64 z) (sin.f64 y))
1.0ms	z	@	-inf	(pow.f64 (cbrt.f64 z) 2)

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify174.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

944×	`unswap-sqr_binary64`
631×	`associate-+l+_binary64`
625×	`distribute-rgt-out_binary64`
528×	`sqr-pow_binary64`
438×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	356
1	130	353
2	424	324
3	1492	316
4	2292	316
5	2936	316
6	5129	316
7	5483	316
8	5586	316
9	5717	316
10	5904	316
11	6173	316
12	6554	316
13	7264	316

Stop Event

1×	node limit

Counts

99 → 82

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 z) 1/3) y)
(+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) y) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))
(+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) y) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 5))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 3)))))
(+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) y) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 5))) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (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 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.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 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))

Outputs
(.f64 (pow.f64 (.f64 1 z) 1/3) y)
(*.f64 (cbrt.f64 z) y)
(+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) y) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))
(fma.f64 (cbrt.f64 z) y (.f64 -1/6 (.f64 (cbrt.f64 z) (pow.f64 y 3))))
(fma.f64 -1/6 (.f64 (cbrt.f64 z) (pow.f64 y 3)) (.f64 (cbrt.f64 z) y))
(*.f64 (cbrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) y) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 5))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 z) y (fma.f64 1/120 (.f64 (cbrt.f64 z) (pow.f64 y 5)) (.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 z) y (fma.f64 1/120 (.f64 (cbrt.f64 z) (pow.f64 y 5)) (.f64 (cbrt.f64 z) (*.f64 -1/6 (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 z) (.f64 1/120 (pow.f64 y 5)) (.f64 (cbrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 (cbrt.f64 z) (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) y) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 5))) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))))
(fma.f64 (cbrt.f64 z) y (fma.f64 -1/5040 (.f64 (cbrt.f64 z) (pow.f64 y 7)) (fma.f64 1/120 (.f64 (cbrt.f64 z) (pow.f64 y 5)) (.f64 -1/6 (.f64 (cbrt.f64 z) (pow.f64 y 3))))))
(fma.f64 (cbrt.f64 z) y (fma.f64 -1/5040 (.f64 (cbrt.f64 z) (pow.f64 y 7)) (fma.f64 1/120 (.f64 (cbrt.f64 z) (pow.f64 y 5)) (.f64 (cbrt.f64 z) (.f64 -1/6 (pow.f64 y 3))))))
(+.f64 (.f64 (cbrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 (cbrt.f64 z) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(.f64 (cbrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (.f64 -1/5040 (pow.f64 y 7)))))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.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 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z y))
(.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) y))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.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)) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) 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 z y (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (.f64 -1/5040 (pow.f64 y 7)))))
(*.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))

localize39.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 9 computations (62.5% saved)

series19.0ms (0.2%)

Counts

3 → 20

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(*.f64 (cos.f64 y) x)
3.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 (cos.f64 y) x))

rewrite65.0ms (0.5%)

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	20
1	163	20
2	1592	20

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

438×	`*-commutative_binary64`
397×	`distribute-rgt-in_binary64`
390×	`distribute-lft-in_binary64`
335×	`distribute-rgt-out_binary64`
333×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	375
1	163	371
2	473	303
3	1962	267
4	5548	267

Stop Event

1×	node limit

Counts

82 → 71

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)
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)))
(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)))))))

Outputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 x (.f64 y (.f64 -1/2 y)) 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 -1/2 (.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 x (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 -1/2 y))) 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)))
(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 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (pow.f64 y 4) 1/24))))
(*.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))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 x (.f64 y (.f64 -1/2 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 -1/2 (.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 x (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 -1/2 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 -1/2 (.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 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (pow.f64 y 4) 1/24))))
(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 (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 (.f64 (pow.f64 y 4) (-.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 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 (pow.f64 y 4) (.f64 (fma.f64 x 1/24 (.f64 x -1/16)) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(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)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 4) (.f64 1/2 (.f64 x -1/48))) (.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 (.f64 (pow.f64 y 4) (-.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 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 6) (+.f64 (.f64 x -1/720) (.f64 1/4 (-.f64 (.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)))))))))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (.f64 (fma.f64 x -1/720 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 x)))) (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 (fma.f64 x 1/24 (.f64 x -1/16)) 1/4 (.f64 x -1/720))) (.f64 (pow.f64 y 4) (fma.f64 x 1/24 (*.f64 x -1/16))))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/48)) (.f64 (pow.f64 y 6) (fma.f64 x -1/720 (.f64 -1/4 (*.f64 x 1/48))))))))

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 z (.f64 y -1/6))
✓	0.3b	(*.f64 y -1/6)
✓	0.5b	(fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x)

Compiler

Compiled 56 to 29 computations (48.2% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x)
1.0ms	z	@	0	(fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x)
1.0ms	z	@	inf	(fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x)
1.0ms	y	@	inf	(fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x)
1.0ms	y	@	-inf	(fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x)

rewrite115.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
398×	`prod-exp_binary64`
389×	`exp-prod_binary64`
336×	`pow-prod-down_binary64`
279×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	223	29
2	2575	29

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs
(fma.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 z (*.f64 y -1/6))) x)
(*.f64 y -1/6)
(.f64 z (.f64 y -1/6))

Outputs

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

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

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

simplify162.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

785×	`distribute-rgt-neg-in_binary64`
644×	`distribute-lft-neg-in_binary64`
605×	`fma-def_binary64`
493×	`fma-neg_binary64`
323×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	855
1	79	855
2	191	855
3	527	853
4	1789	777
5	5205	777
6	7559	777

Stop Event

1×	node limit

Counts

162 → 106

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 x) (cos.f64 y))
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)

Compiler

Compiled 51 to 18 computations (64.7% saved)

series127.0ms (1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
116.0ms	y	@	inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
2.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
2.0ms	y	@	inf	(*.f64 (cbrt.f64 x) (cos.f64 y))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	-inf	(*.f64 (cbrt.f64 x) (cos.f64 y))

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	181	20
2	2013	20

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

Outputs

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

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

simplify164.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

840×	`unswap-sqr_binary64`
754×	`distribute-rgt-out_binary64`
643×	`associate-+l+_binary64`
534×	`sqr-pow_binary64`
454×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	338
1	115	336
2	361	315
3	1303	312
4	2292	308
5	3898	308
6	5040	308
7	5479	308
8	5642	308
9	5857	308
10	6162	308
11	6523	308
12	6960	308
13	7710	308

Stop Event

1×	node limit

Counts

79 → 61

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)
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/2 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))) (.f64 1/24 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 4)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 6))) (.f64 1/24 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 4))))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.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 x (fma.f64 -1/2 (.f64 y y) 1))
(+.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))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))) 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 x (+.f64 (fma.f64 -1/720 (pow.f64 y 6) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/2 (*.f64 y y) 1)))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(*.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)
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/2 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 x) (.f64 -1/2 (.f64 (*.f64 y y) (cbrt.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 (fma.f64 -1/2 (.f64 y y) 1) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))) (.f64 1/24 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 4)))))
(+.f64 (cbrt.f64 x) (fma.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 x)) (.f64 1/24 (.f64 (pow.f64 y 4) (cbrt.f64 x)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/24 (.f64 (pow.f64 y 4) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (.f64 -1/2 (.f64 y y)))))
(+.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (fma.f64 1/24 (pow.f64 y 4) (.f64 y (*.f64 y -1/2)))))
(.f64 (cbrt.f64 x) (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)))
(.f64 (cbrt.f64 x) (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (.f64 y (*.f64 y -1/2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 6))) (.f64 1/24 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 4))))))
(+.f64 (cbrt.f64 x) (fma.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 x)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) (cbrt.f64 x)) (.f64 1/24 (*.f64 (pow.f64 y 4) (cbrt.f64 x))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)) (fma.f64 1/24 (.f64 (pow.f64 y 4) (cbrt.f64 x)) (.f64 (pow.f64 y 6) (*.f64 -1/720 (cbrt.f64 x)))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 y y) 1) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (fma.f64 -1/720 (pow.f64 y 6) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (fma.f64 1/24 (pow.f64 y 4) (.f64 y (.f64 y -1/2))))))
(.f64 (cbrt.f64 x) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 x))

eval218.0ms (1.8%)

Compiler: Compiled 7461 to 3535 computations (52.6% saved)

prune185.0ms (1.5%)

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	435	14	449
Fresh	8	5	13
Picked	1	0	1
Done	3	8	11
Total	447	27	474

Error

0.0b

Counts

474 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	22.0b	(+.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (cos.f64 y))) (.f64 z (sin.f64 y)))
✓	38.0b	(*.f64 z (sin.f64 y))
	39.1b	x
	52.8b	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
	22.5b	(+.f64 x (*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
	38.4b	(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))
	17.4b	(fma.f64 (.f64 x (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1)) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	50.2b	(*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2))
	50.6b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
	33.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	24.5b	(*.f64 (cos.f64 y) x)
✓	0.1b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
	51.1b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	51.4b	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2)) 2)
	33.6b	(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
✓	1.0b	(+.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3) (.f64 z (sin.f64 y)))
	2.5b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	55.1b	(fma.f64 z y (.f64 -1/6 (.f64 (pow.f64 y 3) z)))
✓	31.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) 2)
	43.1b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
✓	54.5b	(*.f64 y z)
	38.0b	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
✓	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	4.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))))
	25.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)))
✓	43.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)

Compiler

Compiled 331 to 236 computations (28.7% saved)

regimes330.0ms (2.7%)

Counts

61 → 1

Calls

Call 1

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

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

Calls

4 calls:

182.0ms	x
74.0ms	y
30.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
29.0ms	z

Results

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

Compiler

Compiled 638 to 223 computations (65% saved)

regimes61.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	z
13.0ms	y
12.0ms	x

Results

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

Compiler

Compiled 168 to 73 computations (56.5% saved)

regimes223.0ms (1.8%)

Counts

12 → 4

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1)))
(*.f64 (cos.f64 y) x)

Calls

3 calls:

132.0ms	y
50.0ms	x
30.0ms	z

Results

Error	Segments	Branch
11.9b	4	`x`
12.7b	6	`y`
13.8b	3	`z`

Compiler

Compiled 60 to 24 computations (60% saved)

bsearch417.0ms (3.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
176.0ms	1.6319780425701814e+69	1.2006096561286736e+73
88.0ms	8.704211662859401e-157	1.2925887756955523e-148
153.0ms	-404717.8097016547	-267.0510712110468

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes630.0ms (5.1%)

Counts

11 → 7

Calls

Call 1

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

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

Calls

3 calls:

247.0ms	y
199.0ms	z
180.0ms	x

Results

Error	Segments	Branch
14.0b	3	`x`
12.5b	7	`y`
14.1b	3	`z`

Compiler

Compiled 50 to 18 computations (64% saved)

bsearch656.0ms (5.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
126.0ms	1.8514155374616943e+266	4.408484123196052e+266
46.0ms	4.2274113302286874e+52	3.6267281492795356e+61
117.0ms	1.564967545708885e-5	0.0004406951564213727
90.0ms	-2.016975672981508e-7	-7.150686858836062e-17
183.0ms	-162671694012.22647	-413304.34446636244
94.0ms	-5.773901193465493e+50	-4.232490268305672e+47

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes50.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	z
17.0ms	x
15.0ms	y

Results

Error	Segments	Branch
20.9b	3	`x`
16.8b	3	`y`
20.7b	3	`z`

Compiler

Compiled 30 to 16 computations (46.7% saved)

bsearch76.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	1.564967545708885e-5	0.0004406951564213727
39.0ms	-162671694012.22647	-413304.34446636244

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes60.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	y
10.0ms	x
6.0ms	z

Results

Error	Segments	Branch
32.1b	1	`x`
32.1b	1	`y`
32.1b	1	`z`

Compiler

Compiled 26 to 14 computations (46.2% saved)

regimes190.0ms (1.5%)

Counts

4 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 y z)

Outputs
x
(*.f64 y z)
x

Calls

3 calls:

169.0ms	x
10.0ms	z
9.0ms	y

Results

Error	Segments	Branch
36.4b	3	`x`
39.1b	1	`y`
39.1b	1	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch413.0ms (3.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
296.0ms	2.0068756707268119e-280	2.5206994923861027e-273
117.0ms	-3.2785685710583106e-17	-2.555942029259979e-18

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes147.0ms (1.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

9.0ms	x
8.0ms	z
8.0ms	y

Results

Error	Segments	Branch
39.1b	1	`x`
39.1b	1	`y`
39.1b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	213
1	67	213
2	68	213

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -3476499513554717/8589934592) (.f64 (cos.f64 y) x) (if (<=.f64 x 215281616508189440/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 z (sin.f64 y)) (if (<=.f64 x 1631978042570181445518290382067197906632774988465527105997319979401216) (+.f64 x (.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1))) (.f64 (cos.f64 y) x))))
(if (<=.f64 y -577390119346549317989494877126166244567508393656320) (.f64 z (sin.f64 y)) (if (<=.f64 y -5330426069392637/32768) (.f64 (cos.f64 y) x) (if (<=.f64 y -238122457871283/1180591620717411303424) (.f64 z (sin.f64 y)) (if (<=.f64 y 4618968927896505/295147905179352825856) (+.f64 (.f64 y z) x) (if (<=.f64 y 42274113302286873791502707789759552111350371166715904) (.f64 (cos.f64 y) x) (if (<=.f64 y 185141553746169431201057914692912128742925812313568631979513378565410515147452504048427213202462821320274795821691468296786628211982693437659241702975032051014822346068868967275995187979357194973013953031517546527545608020643957411173185016417902156155151242208739328) (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))
(if (<=.f64 y -5330426069392637/32768) (.f64 (cos.f64 y) x) (if (<=.f64 y 4618968927896505/295147905179352825856) (+.f64 (.f64 y z) x) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 y z) x)
(if (<=.f64 x -5319781653749089/162259276829213363391578010288128) x (if (<=.f64 x 8399939666939422720/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (*.f64 y z) x))
x

Outputs
(fma.f64 x (cos.f64 y) (*.f64 z (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)))
(if (<=.f64 x -3476499513554717/8589934592) (.f64 (cos.f64 y) x) (if (<=.f64 x 215281616508189440/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 z (sin.f64 y)) (if (<=.f64 x 1631978042570181445518290382067197906632774988465527105997319979401216) (+.f64 x (.f64 z (-.f64 (+.f64 (sin.f64 y) 1) 1))) (.f64 (cos.f64 y) x))))
(if (<=.f64 x -3476499513554717/8589934592) (.f64 x (cos.f64 y)) (if (<=.f64 x 840943814485115/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (.f64 z (sin.f64 y)) (if (<=.f64 x 1631978042570181445518290382067197906632774988465527105997319979401216) (+.f64 x (.f64 z (+.f64 (+.f64 (sin.f64 y) 1) -1))) (.f64 x (cos.f64 y)))))
(if (<=.f64 y -577390119346549317989494877126166244567508393656320) (.f64 z (sin.f64 y)) (if (<=.f64 y -5330426069392637/32768) (.f64 (cos.f64 y) x) (if (<=.f64 y -238122457871283/1180591620717411303424) (.f64 z (sin.f64 y)) (if (<=.f64 y 4618968927896505/295147905179352825856) (+.f64 (.f64 y z) x) (if (<=.f64 y 42274113302286873791502707789759552111350371166715904) (.f64 (cos.f64 y) x) (if (<=.f64 y 185141553746169431201057914692912128742925812313568631979513378565410515147452504048427213202462821320274795821691468296786628211982693437659241702975032051014822346068868967275995187979357194973013953031517546527545608020643957411173185016417902156155151242208739328) (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))
(if (<=.f64 y -577390119346549317989494877126166244567508393656320) (.f64 z (sin.f64 y)) (if (<=.f64 y -5330426069392637/32768) (.f64 x (cos.f64 y)) (if (<=.f64 y -238122457871283/1180591620717411303424) (.f64 z (sin.f64 y)) (if (<=.f64 y 4618968927896505/295147905179352825856) (+.f64 x (.f64 y z)) (if (<=.f64 y 42274113302286873791502707789759552111350371166715904) (.f64 x (cos.f64 y)) (if (<=.f64 y 185141553746169431201057914692912128742925812313568631979513378565410515147452504048427213202462821320274795821691468296786628211982693437659241702975032051014822346068868967275995187979357194973013953031517546527545608020643957411173185016417902156155151242208739328) (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))))
(if (<=.f64 y -5330426069392637/32768) (.f64 (cos.f64 y) x) (if (<=.f64 y 4618968927896505/295147905179352825856) (+.f64 (.f64 y z) x) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -5330426069392637/32768) (.f64 x (cos.f64 y)) (if (<=.f64 y 4618968927896505/295147905179352825856) (+.f64 x (.f64 y z)) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 x -5319781653749089/162259276829213363391578010288128) x (if (<=.f64 x 8399939666939422720/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (*.f64 y z) x))
(if (<=.f64 x -5319781653749089/162259276829213363391578010288128) x (if (<=.f64 x 4101533040497765/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (*.f64 y z) x))
x

Compiler

Compiled 168 to 95 computations (43.5% saved)

soundness11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 23 to 15 computations (34.8% saved)

end150.0ms (1.2%)

Compiler: Compiled 147 to 56 computations (61.9% saved)