Details

analyze363.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.4s (26.9%)

Results

1.5s	5162×	body	256	valid
1.4s	2062×	body	1024	valid
526.0ms	1024×	body	512	valid
9.0ms	8×	body	2048	valid

Bogosity

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series12.0ms (0.1%)

Counts

4 → 80

Calls

24 calls:

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

rewrite80.0ms (0.6%)

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

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

simplify219.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

682×	`sqr-pow_binary64`
626×	`cube-prod_binary64`
461×	`*-commutative_binary64`
443×	`pow-sqr_binary64`
406×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	784
1	168	773
2	459	748
3	1472	746
4	2333	746
5	3438	746
6	3576	746
7	3793	746
8	4008	746
9	4290	746
10	4703	746
11	5202	746
12	5778	746
13	6468	746
14	6976	746
15	7372	746
16	7760	746

Stop Event

1×	node limit

Counts

247 → 198

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (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 (sin.f64 y) (*.f64 z (cos.f64 y)))

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

Outputs

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

simplify157.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-def_binary64`
757×	`sqr-pow_binary64`
556×	`distribute-lft-out_binary64`
476×	`*-commutative_binary64`
441×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	396
1	63	394
2	151	394
3	400	391
4	1332	388
5	2659	388
6	4130	388
7	4254	388
8	4430	388
9	4644	388
10	4980	388
11	5334	388
12	5810	388
13	6353	388
14	7015	388
15	7843	388

Stop Event

1×	node limit

Counts

57 → 32

Calls

Call 1

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

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

eval87.0ms (0.7%)

Compiler: Compiled 4409 to 1507 computations (65.8% saved)

prune72.0ms (0.6%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	282	24	306
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	283	25	308

Error

0.0b

Counts

308 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	19.9b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log.f64 (exp.f64 (cos.f64 y)))))
▶	16.6b	(fma.f64 x (sin.f64 y) z)
	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
	16.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	31.9b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	30.9b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
▶	32.4b	(+.f64 (*.f64 y x) z)
	4.0b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
	33.0b	(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)
▶	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	16.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
	0.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
▶	0.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	32.4b	(fma.f64 y x z)
	40.9b	z
	38.1b	(*.f64 (sin.f64 y) x)
▶	34.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	25.1b	(*.f64 (cos.f64 y) z)
	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	0.6b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
	36.2b	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
	0.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))

Compiler

Compiled 622 to 417 computations (33% saved)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series5.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify159.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-def_binary64`
626×	`distribute-lft-out_binary64`
551×	`sqr-pow_binary64`
466×	`associate-+l+_binary64`
439×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	472
1	109	467
2	285	453
3	811	451
4	2536	451
5	3406	451
6	5141	451
7	5482	451
8	6064	451
9	6482	451
10	6946	451
11	7476	451

Stop Event

1×	node limit

Counts

74 → 53

Calls

Call 1

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

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

localize47.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify8.0ms (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
z
(*.f64 y x)
(*.f64 y x)
z
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
z
z

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`pow1_binary64`
516×	`add-log-exp_binary64`
516×	`log1p-expm1-u_binary64`
516×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	117	7
2	1377	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify142.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1295×	`fma-def_binary64`
788×	`sqr-pow_binary64`
533×	`associate-l_binary64`
488×	`*-commutative_binary64`
448×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	305
1	55	249
2	136	246
3	368	242
4	1004	240
5	2335	240
6	2793	240
7	3429	240
8	3551	240
9	3724	240
10	3943	240
11	4930	240
12	5390	240
13	5991	240
14	6744	240
15	7676	240

Stop Event

1×	node limit

Counts

57 → 31

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
✓	0.1b	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
✓	0.4b	(pow.f64 (cos.f64 y) 3)

Compiler

Compiled 43 to 21 computations (51.2% saved)

series10.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
1.0ms	y	@	-inf	(pow.f64 (cos.f64 y) 3)
1.0ms	y	@	inf	(pow.f64 (cos.f64 y) 3)
1.0ms	y	@	0	(pow.f64 (cos.f64 y) 3)
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	166	15
2	1653	15

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

787×	`fma-def_binary64`
629×	`distribute-rgt-in_binary64`
628×	`distribute-rgt-out_binary64`
563×	`associate-l_binary64`
556×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	316
1	108	308
2	283	293
3	904	291
4	3399	291
5	5784	291
6	6124	291
7	6354	291
8	6571	291
9	6844	291
10	7181	291

Stop Event

1×	node limit

Counts

90 → 72

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))

Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -3/2 (.f64 y y)))
(fma.f64 -3/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (.f64 -3/2 (.f64 y y))))
(+.f64 (fma.f64 -3/2 (.f64 y y) 1) (.f64 7/8 (pow.f64 y 4)))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 7/8 -3/2) 1)
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) (.f64 -3/2 (.f64 y y)))))
(+.f64 (fma.f64 -61/240 (pow.f64 y 6) (.f64 7/8 (pow.f64 y 4))) (fma.f64 -3/2 (.f64 y y) 1))
(fma.f64 -61/240 (pow.f64 y 6) (fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1)))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) 1)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)))
(fma.f64 (*.f64 y y) -1/2 (fma.f64 (pow.f64 y 4) 1/24 1))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (*.f64 y y) -1/2 (fma.f64 (pow.f64 y 4) 1/24 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 1)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/24 -1/2) (fma.f64 (pow.f64 y 6) -1/720 1))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(fma.f64 (.f64 y y) (.f64 -1/2 z) z)
(fma.f64 (.f64 y z) (.f64 y -1/2) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (fma.f64 (.f64 y y) -1/2 (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 (fma.f64 y (.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (.f64 y -1/2) (*.f64 (pow.f64 y 4) 1/24)))))
(fma.f64 z (fma.f64 y (.f64 y -1/2) (fma.f64 (pow.f64 y 6) -1/720 (.f64 (pow.f64 y 4) 1/24))) z)
(.f64 (fma.f64 y (.f64 y -1/2) (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 1))) z)
(.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2) (fma.f64 (pow.f64 y 6) -1/720 1)) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series35.0ms (0.3%)

Counts

2 → 37

Calls

15 calls:

Time	Variable		Point	Expression
19.0ms	z	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
3.0ms	z	@	-inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
2.0ms	z	@	0	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
1.0ms	y	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
1.0ms	y	@	-inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))

rewrite85.0ms (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	27
1	196	22
2	2329	22

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify285.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1895×	`fma-def_binary64`
679×	`sqr-pow_binary64`
416×	`cube-prod_binary64`
393×	`*-commutative_binary64`
358×	`pow-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	45	428
1	109	421
2	285	408
3	935	400
4	2465	400
5	3491	400
6	3612	400
7	3770	400
8	3942	400
9	4173	395
10	5459	395
11	5856	395
12	6366	395
13	6931	395
14	7705	395

Stop Event

1×	node limit

Counts

71 → 56

Calls

Call 1

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

Outputs
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x z))
(fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 y x z))
(fma.f64 y (fma.f64 z (*.f64 y -1/2) x) z)
(fma.f64 y (fma.f64 -1/2 (*.f64 z y) x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 y x (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z)))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) z (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) 1) (.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(fma.f64 x (.f64 -1/6 (pow.f64 y 3)) (fma.f64 y (fma.f64 -1/2 (.f64 z y) x) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sqrt.f64 z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (sqrt.f64 z))
(fma.f64 -1/2 (.f64 (.f64 y y) (sqrt.f64 z)) (sqrt.f64 z))
(fma.f64 -1/2 (.f64 y (.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (fma.f64 -1/2 (.f64 y y) 1))
(.f64 (sqrt.f64 z) (fma.f64 y (.f64 y -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 z)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) (.f64 1/24 (.f64 (sqrt.f64 z) (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y (.f64 y (sqrt.f64 z))) (fma.f64 1/24 (*.f64 (sqrt.f64 z) (pow.f64 y 4)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (.f64 y (*.f64 y -1/2))))
(.f64 (sqrt.f64 z) (fma.f64 y (.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 z))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 z))))))
(fma.f64 -1/720 (.f64 (sqrt.f64 z) (pow.f64 y 6)) (+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) (.f64 1/24 (*.f64 (sqrt.f64 z) (pow.f64 y 4)))))
(+.f64 (fma.f64 1/24 (.f64 (sqrt.f64 z) (pow.f64 y 4)) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (.f64 -1/2 (*.f64 y y)))))
(fma.f64 (sqrt.f64 z) (fma.f64 -1/720 (pow.f64 y 6) (.f64 y (.f64 y -1/2))) (*.f64 (sqrt.f64 z) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 (sqrt.f64 z) (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(.f64 (sqrt.f64 z) (fma.f64 y (fma.f64 y -1/2 (.f64 -1/720 (pow.f64 y 5))) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))

eval109.0ms (0.9%)

Compiler: Compiled 5791 to 2153 computations (62.8% saved)

prune286.0ms (2.3%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	389	12	401
Fresh	11	8	19
Picked	0	1	1
Done	1	4	5
Total	401	25	426

Error

0.0b

Counts

426 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	32.4b	(fma.f64 y x z)
✓	34.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
▶	0.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	25.1b	(*.f64 (cos.f64 y) z)
	40.9b	z
✓	16.6b	(fma.f64 x (sin.f64 y) z)
	16.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	23.3b	(+.f64 (.f64 y x) (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	38.1b	(*.f64 (sin.f64 y) x)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	30.9b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
✓	32.4b	(+.f64 (*.f64 y x) z)
	4.0b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
▶	16.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
	48.9b	(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
▶	53.3b	(*.f64 y x)
▶	42.4b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
	33.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 2)
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 3)
	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	0.6b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
	36.2b	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 552 to 371 computations (32.8% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

Outputs

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

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

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

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-neg_binary64`
522×	`distribute-rgt-neg-in_binary64`
435×	`cancel-sign-sub-inv_binary64`
382×	`distribute-lft-neg-in_binary64`
360×	`unsub-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	55	396
1	142	382
2	380	365
3	1263	359
4	1939	356
5	3140	354
6	5248	354
7	7569	354

Stop Event

1×	node limit

Counts

93 → 70

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (+.f64 (.f64 -31/720 (.f64 (E.f64) (pow.f64 y 6))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)))))) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1295×	`fma-def_binary64`
788×	`sqr-pow_binary64`
533×	`associate-l_binary64`
488×	`*-commutative_binary64`
448×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	305
1	55	249
2	136	246
3	368	242
4	1004	240
5	2335	240
6	2793	240
7	3429	240
8	3551	240
9	3724	240
10	3943	240
11	4930	240
12	5390	240
13	5991	240
14	6744	240
15	7676	240

Stop Event

1×	node limit

Counts

71 → 44

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 9 computations (67.9% saved)

series20.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
2.0ms	z	@	inf	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
2.0ms	z	@	0	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
654×	`add-log-exp_binary64`
654×	`log1p-expm1-u_binary64`
654×	`expm1-log1p-u_binary64`
637×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	182	16
2	1808	16

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-def_binary64`
621×	`associate-r_binary64`
584×	`associate-l_binary64`
393×	`unswap-sqr_binary64`
285×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	854
1	372	783
2	1233	735
3	5678	679

Stop Event

1×	node limit

Counts

82 → 77

Calls

Call 1

Inputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (.f64 (sin.f64 y) x) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 2))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 2)))) (pow.f64 x 3)) (+.f64 z (+.f64 (.f64 (sin.f64 y) x) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 x 2)))))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/4 (/.f64 (pow.f64 x 2) z)))) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/4 (/.f64 (pow.f64 x 2) z)))) (+.f64 z (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (pow.f64 z 4)) (+.f64 z (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (pow.f64 z 4)) (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (sin.f64 y) x))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (sin.f64 y) x)))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 5))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (sin.f64 y) x))))))
(sqrt.f64 z)
(+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 x) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/8 (.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))))))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (*.f64 (sin.f64 y) x)))))))
(+.f64 (.f64 1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))))

Outputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (+.f64 (.f64 (sin.f64 y) x) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 x 2))))
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 2))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 2)))) (pow.f64 x 3)) (+.f64 z (+.f64 (.f64 (sin.f64 y) x) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 x 2)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/4 (/.f64 (pow.f64 x 2) z)))) z))
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/4 (/.f64 (pow.f64 x 2) z)))) (+.f64 z (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(fma.f64 y x (+.f64 (fma.f64 (.f64 y y) (.f64 (/.f64 (.f64 x x) z) 0) z) (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 y x (fma.f64 (.f64 y y) 0 (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) z)))
(+.f64 (fma.f64 y x z) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) 0))
(fma.f64 y x (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z))
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (pow.f64 z 4)) (+.f64 z (*.f64 (sin.f64 y) x)))
(fma.f64 (+.f64 (/.f64 5/64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)))) 2) (/.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (pow.f64 z 4) (+.f64 z (.f64 (sin.f64 y) x)))
(fma.f64 (-.f64 (/.f64 5/64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)))) 2) (/.f64 1/16 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(fma.f64 (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) 1/64) (.f64 1/64 (/.f64 -1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(fma.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) 0) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (pow.f64 z 4)) (+.f64 z (*.f64 (sin.f64 y) x)))
(fma.f64 (+.f64 (/.f64 5/64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)))) 2) (/.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (pow.f64 z 4) (+.f64 z (.f64 (sin.f64 y) x)))
(fma.f64 (-.f64 (/.f64 5/64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)))) 2) (/.f64 1/16 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(fma.f64 (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) 1/64) (.f64 1/64 (/.f64 -1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(fma.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) 0) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (sin.f64 y) x))))
(+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 z)))))
(fma.f64 1/2 (.f64 (sin.f64 y) (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 (.f64 (sin.f64 y) x) (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (sin.f64 y) x)))))
(+.f64 (sqrt.f64 z) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) (.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 z))))))
(+.f64 (sqrt.f64 z) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (.f64 (sin.f64 y) x) 1/2))))
(fma.f64 (.f64 (sin.f64 y) x) (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (*.f64 x x) -1/8)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (.f64 (sin.f64 y) x)))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 5))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (sin.f64 y) x))))))
(+.f64 (sqrt.f64 z) (fma.f64 1/16 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 5)))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) (.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 z)))))))
(+.f64 (sqrt.f64 z) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 z 5))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))) (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (.f64 (sin.f64 y) x) 1/2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 5))) (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 x 3) 1/16)) (fma.f64 (.f64 (sin.f64 y) x) (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (*.f64 x x) -1/8)) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (fma.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 z 5)))) (.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (.f64 (sin.f64 y) x))))))
(sqrt.f64 z)
(+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 (.f64 (.f64 1/2 y) x) (sqrt.f64 (/.f64 1 z)) (sqrt.f64 z))
(fma.f64 y (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))))
(+.f64 (fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)) (.f64 (.f64 -1/8 (.f64 (.f64 x x) (*.f64 y y))) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))
(fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))) (sqrt.f64 z)))
(fma.f64 y (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (.f64 x x) (.f64 -1/8 (.f64 y y))) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (.f64 (.f64 y x) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (.f64 y x)))))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 x) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/8 (.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))))))
(+.f64 (fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)) (fma.f64 1/2 (.f64 (pow.f64 y 3) (.f64 (-.f64 (.f64 x -1/6) (/.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 z z))) (sqrt.f64 (/.f64 1 z)))) (.f64 (.f64 -1/8 (.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 (.f64 1/2 y) x) (sqrt.f64 (/.f64 1 z)) (sqrt.f64 z)) (fma.f64 1/2 (.f64 (fma.f64 x -1/6 (.f64 1/8 (/.f64 (pow.f64 x 3) (.f64 z z)))) (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 z)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 -1/8 (.f64 y (.f64 y (*.f64 x x)))))))
(fma.f64 y (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) (fma.f64 (pow.f64 y 3) (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 1/2 (fma.f64 x -1/6 (.f64 (/.f64 1/8 z) (/.f64 (pow.f64 x 3) z))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (.f64 x x) (.f64 -1/8 (*.f64 y y))) (sqrt.f64 z))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (.f64 x x) (.f64 -1/8 (.f64 y y))) (sqrt.f64 z)) (.f64 (.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 (.f64 y y) (fma.f64 x -1/6 (.f64 (/.f64 (pow.f64 x 3) z) (/.f64 1/8 z)))) x)))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x z))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x z))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x z))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x z))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x z))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x z))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x z))
(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x z))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))
(+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 (.f64 1/2 z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))))
(fma.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(fma.f64 z (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y)))) (sqrt.f64 (.f64 (sin.f64 y) x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (*.f64 (sin.f64 y) x)))))))
(fma.f64 -1/8 (.f64 (.f64 z z) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 (.f64 1/2 z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))
(fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))))) (fma.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 z (.f64 z -1/8)) (fma.f64 z (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y)))) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))))
(fma.f64 1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))))) (fma.f64 -1/8 (.f64 (.f64 z z) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3)))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 (.f64 1/2 z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))))))
(fma.f64 1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))))) (fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))))) (fma.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (*.f64 (sin.f64 y) x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 z (.f64 z -1/8)) (fma.f64 (pow.f64 z 3) (.f64 1/16 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))))) (fma.f64 z (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y)))) (sqrt.f64 (*.f64 (sin.f64 y) x)))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series42.0ms (0.3%)

Counts

2 → 29

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	y	@	0	(*.f64 (sin.f64 y) (sqrt.f64 x))
2.0ms	x	@	-inf	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
1.0ms	x	@	inf	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
1.0ms	x	@	0	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
1.0ms	x	@	-inf	(*.f64 (sin.f64 y) (sqrt.f64 x))

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1050×	`distribute-lft-out_binary64`
893×	`fma-def_binary64`
526×	`distribute-rgt-in_binary64`
423×	`associate-l_binary64`
409×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	372
1	116	360
2	307	343
3	923	339
4	2975	339
5	3699	339
6	5941	339
7	6644	339
8	7024	339
9	7589	339

Stop Event

1×	node limit

Counts

63 → 54

Calls

Call 1

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

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

eval162.0ms (1.3%)

Compiler: Compiled 6615 to 2586 computations (60.9% saved)

prune158.0ms (1.2%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	418	12	430
Fresh	7	8	15
Picked	1	0	1
Done	2	7	9
Total	428	27	455

Error

0.0b

Counts

455 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	32.4b	(fma.f64 y x z)
✓	34.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	40.9b	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
	42.6b	(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 1/4) 2) 2)
	40.9b	z
▶	39.5b	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))
✓	16.6b	(fma.f64 x (sin.f64 y) z)
	16.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	23.3b	(+.f64 (.f64 y x) (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	38.1b	(*.f64 (sin.f64 y) x)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	25.1b	(*.f64 (cos.f64 y) z)
	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
	0.6b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
▶	52.0b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
	23.2b	(+.f64 (.f64 y x) (.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))
	36.2b	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	32.4b	(+.f64 (*.f64 y x) z)
	4.0b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	16.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	53.3b	(*.f64 y x)
▶	33.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 2)
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 3)))
▶	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	33.3b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)

Compiler

Compiled 601 to 405 computations (32.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 22 computations (55.1% saved)

series9.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	137	19
2	1441	19

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

893×	`distribute-rgt-neg-in_binary64`
627×	`fma-def_binary64`
566×	`associate-l_binary64`
449×	`unswap-sqr_binary64`
447×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	258
1	117	245
2	283	239
3	881	239
4	3680	239
5	7233	239

Stop Event

1×	node limit

Counts

91 → 84

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 y (*.f64 -1/6 y) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3))))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 -1/1701 (pow.f64 y 8) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(neg.f64 (fma.f64 y y -1))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (.f64 (pow.f64 y 4) 1/3))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 1) (*.f64 y y))
(-.f64 (*.f64 (pow.f64 y 4) 1/3) (fma.f64 y y -1))
(-.f64 1 (fma.f64 y y (*.f64 (pow.f64 y 4) -1/3)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 (pow.f64 y 4) 1/3)))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 (pow.f64 y 4) 1/3 (.f64 (pow.f64 y 6) -2/45)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (fma.f64 (pow.f64 y 6) -2/45 1)) (*.f64 y y))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (*.f64 (pow.f64 y 6) -2/45)) (fma.f64 y y -1))
(-.f64 (fma.f64 (pow.f64 y 6) -2/45 (*.f64 (pow.f64 y 4) 1/3)) (fma.f64 y y -1))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify141.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

779×	`distribute-lft-out_binary64`
740×	`*-commutative_binary64`
526×	`associate-+l+_binary64`
521×	`distribute-rgt-out_binary64`
499×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	63	112
2	167	108
3	534	105
4	2186	105
5	4347	105
6	4579	105
7	4871	105
8	5244	105
9	5641	105
10	6032	105
11	7549	105
12	7989	105

Stop Event

1×	node limit

Counts

23 → 19

Calls

Call 1

Inputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(.f64 z (fma.f64 y (.f64 -1/2 y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (fma.f64 1/24 (pow.f64 y 4) (fma.f64 y (.f64 -1/2 y) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (*.f64 y y)))))
(.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/720 (pow.f64 y 6) 1))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
✓	7.3b	(sqrt.f64 (*.f64 (sin.f64 y) x))

Compiler

Compiled 24 to 9 computations (62.5% saved)

series9.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite162.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	48
1	6	48

Stop Event

1×

saturated

Counts

58 → 50

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
✓	0.3b	(pow.f64 (*.f64 x (sin.f64 y)) 2)
✓	1.9b	(-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z))
✓	30.3b	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))

Compiler

Compiled 66 to 22 computations (66.7% saved)

series23.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))
2.0ms	y	@	-inf	(-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z))
2.0ms	y	@	inf	(-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z))
1.0ms	y	@	inf	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))
1.0ms	y	@	-inf	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))

rewrite149.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
516×	`fma-def_binary64`
257×	`fma-neg_binary64`
254×	`pow1/3_binary64`
251×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	309	31
2	4189	31

Stop Event

1×	node limit

Counts

3 → 234

Calls

Call 1

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

Outputs

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

simplify205.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

943×	`times-frac_binary64`
878×	`fma-neg_binary64`
489×	`*-commutative_binary64`
414×	`distribute-lft-out_binary64`
377×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1441
1	184	1388
2	495	1351
3	2221	1347
4	6671	1347

Stop Event

1×	node limit

Counts

330 → 267

Calls

Call 1

Inputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 -1 (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 -1 (pow.f64 z 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (*.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)))))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) (pow.f64 y 8)) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))

Outputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (fma.f64 y x z) (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z))
(fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 y x z))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (+.f64 (fma.f64 y x z) (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) z)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 z z)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (fma.f64 (sin.f64 y) x z) (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.f64 (.f64 (sin.f64 y) x) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 z z)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (fma.f64 (sin.f64 y) x z) (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.f64 (.f64 (sin.f64 y) x) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 z z)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (fma.f64 (sin.f64 y) x z) (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.f64 (.f64 (sin.f64 y) x) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 z z)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (fma.f64 (sin.f64 y) x z) (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.f64 (.f64 (sin.f64 y) x) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 z z)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (fma.f64 (sin.f64 y) x z) (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.f64 (.f64 (sin.f64 y) x) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 z z)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (fma.f64 (sin.f64 y) x z) (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.f64 (.f64 (sin.f64 y) x) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 z z)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (fma.f64 (sin.f64 y) x z) (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.f64 (.f64 (sin.f64 y) x) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 z z)) (-.f64 (.f64 (sin.f64 y) x) z))
(/.f64 (fma.f64 (sin.f64 y) x z) (/.f64 (-.f64 (.f64 (sin.f64 y) x) z) (-.f64 (.f64 (sin.f64 y) x) z)))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(*.f64 -1 (pow.f64 z 2))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(*.f64 -1 (pow.f64 z 2))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 -1 (.f64 z z) (.f64 (.f64 x x) (.f64 y y)))
(-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 z z))
(.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 -1/3 (.f64 (.f64 x x) (pow.f64 y 4)) (fma.f64 -1 (.f64 z z) (.f64 (.f64 x x) (.f64 y y))))
(+.f64 (.f64 z (neg.f64 z)) (.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 -1/3 (pow.f64 y 4)))))
(-.f64 (.f64 (.f64 x x) (fma.f64 -1/3 (pow.f64 y 4) (.f64 y y))) (.f64 z z))
(-.f64 (.f64 (.f64 x x) (fma.f64 y y (.f64 -1/3 (pow.f64 y 4)))) (.f64 z z))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 -1 (pow.f64 z 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (*.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)))))
(fma.f64 -1/3 (.f64 (.f64 x x) (pow.f64 y 4)) (fma.f64 -1 (.f64 z z) (fma.f64 (.f64 (.f64 x x) 2/45) (pow.f64 y 6) (.f64 (.f64 x x) (.f64 y y)))))
(+.f64 (.f64 z (neg.f64 z)) (+.f64 (.f64 (.f64 x (.f64 x 2/45)) (pow.f64 y 6)) (.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 -1/3 (pow.f64 y 4))))))
(-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 y 6) 2/45) (fma.f64 -1/3 (pow.f64 y 4) (.f64 y y)))) (*.f64 z z))
(-.f64 (.f64 (.f64 x x) (+.f64 (fma.f64 y y (.f64 -1/3 (pow.f64 y 4))) (.f64 (pow.f64 y 6) 2/45))) (*.f64 z z))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (pow.f64 z 2))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 -1 (pow.f64 z 2)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(*.f64 -1 (pow.f64 z 2))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(*.f64 -1 (pow.f64 z 2))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (*.f64 z z))
(-.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 z z))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 y x) (*.f64 y x))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 y (*.f64 x x)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 -1/3 (.f64 (.f64 x x) (pow.f64 y 4)) (.f64 (.f64 x x) (*.f64 y y)))
(.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 -1/3 (pow.f64 y 4))))
(.f64 (.f64 x x) (fma.f64 -1/3 (pow.f64 y 4) (*.f64 y y)))
(.f64 (.f64 x x) (fma.f64 y y (*.f64 -1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 -1/3 (.f64 (.f64 x x) (pow.f64 y 4)) (fma.f64 (.f64 (.f64 x x) 2/45) (pow.f64 y 6) (.f64 (.f64 x x) (*.f64 y y))))
(+.f64 (.f64 (.f64 x (.f64 x 2/45)) (pow.f64 y 6)) (.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 -1/3 (pow.f64 y 4)))))
(.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 y 6) 2/45) (fma.f64 -1/3 (pow.f64 y 4) (.f64 y y))))
(.f64 (.f64 x x) (+.f64 (fma.f64 y y (.f64 -1/3 (pow.f64 y 4))) (.f64 (pow.f64 y 6) 2/45)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) (pow.f64 y 8)) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(fma.f64 -1/3 (.f64 (.f64 x x) (pow.f64 y 4)) (fma.f64 (.f64 (.f64 x x) -1/315) (pow.f64 y 8) (fma.f64 (.f64 (.f64 x x) 2/45) (pow.f64 y 6) (.f64 (.f64 x x) (*.f64 y y)))))
(+.f64 (fma.f64 (.f64 x (.f64 x -1/315)) (pow.f64 y 8) (.f64 (.f64 x (.f64 x 2/45)) (pow.f64 y 6))) (.f64 (.f64 x x) (+.f64 (.f64 y y) (*.f64 -1/3 (pow.f64 y 4)))))
(fma.f64 (.f64 x x) (.f64 (pow.f64 y 8) -1/315) (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 y 6) 2/45) (fma.f64 -1/3 (pow.f64 y 4) (.f64 y y)))))
(.f64 (.f64 x x) (+.f64 (fma.f64 y y (.f64 -1/3 (pow.f64 y 4))) (+.f64 (.f64 (pow.f64 y 8) -1/315) (*.f64 (pow.f64 y 6) 2/45))))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (sin.f64 y) 2)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 12 computations (76% saved)

series43.0ms (0.3%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 2)
2.0ms	z	@	inf	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 2)
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 2)

rewrite77.0ms (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 (cos.f64 y)) (.f64 (sin.f64 y) x))) 2)
(sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))

Outputs

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

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-def_binary64`
473×	`times-frac_binary64`
406×	`*-commutative_binary64`
379×	`unswap-sqr_binary64`
325×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	1177
1	487	1100
2	1676	1027
3	6835	951

Stop Event

1×	node limit

Counts

155 → 157

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 x 1/2)) 2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (.f64 (/.f64 x z) x) (.f64 z -1/2)) (pow.f64 (.f64 x (*.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2)) z))
(fma.f64 y x (fma.f64 (.f64 y y) (fma.f64 z -1/2 (.f64 1/4 (-.f64 (.f64 (/.f64 x z) x) (.f64 (*.f64 x x) (/.f64 1 z))))) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/2 z)) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (+.f64 z (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(fma.f64 y x (+.f64 (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) z) (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 y x (fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (.f64 z -1/2)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2)) (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) z)))
(fma.f64 (.f64 y y) (-.f64 (fma.f64 1/4 (.f64 (/.f64 x z) x) (.f64 z -1/2)) (pow.f64 (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2)) (fma.f64 y x (fma.f64 x (.f64 -1/6 (pow.f64 y 3)) z)))
(fma.f64 (.f64 y y) (fma.f64 z -1/2 (.f64 1/4 (-.f64 (.f64 (/.f64 x z) x) (.f64 (.f64 x x) (/.f64 1 z))))) (fma.f64 y x (fma.f64 x (.f64 -1/6 (pow.f64 y 3)) z)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (pow.f64 x 2)) (*.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (fma.f64 (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) (.f64 -1/8 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (.f64 x x) (.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (fma.f64 (.f64 x x) (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) -1/4)) (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (.f64 x (+.f64 (sin.f64 y) (.f64 x (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) 0)))))
(fma.f64 (cos.f64 y) z (.f64 x (+.f64 (sin.f64 y) (.f64 x 0))))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 z (cos.f64 y)))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (pow.f64 x 2)) (.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)) (pow.f64 (cos.f64 y) 2)) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)) (pow.f64 (cos.f64 y) 2)) (.f64 -1/8 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) (.f64 -1/8 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z))))) (.f64 x x) (.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (fma.f64 (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)) (pow.f64 (cos.f64 y) 2)) (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 z z)) (pow.f64 (cos.f64 y) 2)) -1/16)) (pow.f64 x 3) (fma.f64 (.f64 x x) (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) -1/4)) (.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) x (.f64 (.f64 x x) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) z)) 0) (.f64 x (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 z z)) (pow.f64 (cos.f64 y) 2)) 0))))))
(fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) x (.f64 (.f64 x x) (+.f64 0 (*.f64 x 0)))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(fma.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y))))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (.f64 (sin.f64 y) x))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (fma.f64 -1/8 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z z) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))))) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(fma.f64 (.f64 z (.f64 z (pow.f64 (cos.f64 y) 2))) (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) (fma.f64 (cos.f64 y) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y))))) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))))))
(fma.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 3))))))))
(fma.f64 1/2 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (fma.f64 1/16 (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))))) (fma.f64 -1/8 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z z) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (sin.f64 y) 3))))) (sqrt.f64 (.f64 (sin.f64 y) x)))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 1/16 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))))) (fma.f64 (.f64 z (.f64 z (pow.f64 (cos.f64 y) 2))) (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) (fma.f64 (cos.f64 y) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 (/.f64 1 x) (sin.f64 y))))) (sqrt.f64 (.f64 (sin.f64 y) x)))))
(sqrt.f64 z)
(+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 x (.f64 y (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 y (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (.f64 y y) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)))) (fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2))) (.f64 (*.f64 1/2 x) y))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 y (.f64 y (-.f64 (.f64 z -1/2) (pow.f64 (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2)))) (*.f64 y x))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 y (.f64 y (fma.f64 z -1/2 (.f64 -1/4 (.f64 (.f64 x x) (/.f64 1 z)))))) (*.f64 y x))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/6 x) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 z) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) x)) 2)) x) z))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 z)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (.f64 y y) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)))) (+.f64 (fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (pow.f64 y 3) (-.f64 (.f64 x -1/6) (.f64 1/2 (/.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 z)))) 2)) (/.f64 z x)))))))))
(+.f64 (fma.f64 1/2 (.f64 (fma.f64 x -1/6 (.f64 -1/2 (/.f64 (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2)) (/.f64 z x)))) (.f64 (sqrt.f64 (/.f64 1 z)) (pow.f64 y 3))) (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 (.f64 1/2 (.f64 y y)) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 x 1/2)) 2))) (.f64 (*.f64 1/2 x) y))))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 1/2 (+.f64 (.f64 y (.f64 y (-.f64 (.f64 z -1/2) (pow.f64 (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2)))) (.f64 y x))) (.f64 (fma.f64 x -1/6 (/.f64 -1/2 (/.f64 (/.f64 z x) (-.f64 (.f64 z -1/2) (pow.f64 (.f64 x (.f64 1/2 (sqrt.f64 (/.f64 1 z)))) 2))))) (*.f64 1/2 (pow.f64 y 3))))))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (.f64 1/2 (+.f64 (.f64 y (.f64 y (fma.f64 z -1/2 (.f64 -1/4 (.f64 (.f64 x x) (/.f64 1 z)))))) (.f64 y x))) (.f64 (fma.f64 x -1/6 (/.f64 -1/2 (/.f64 (/.f64 z x) (fma.f64 z -1/2 (.f64 -1/4 (.f64 (.f64 x x) (/.f64 1 z))))))) (*.f64 1/2 (pow.f64 y 3))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(sqrt.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (.f64 (sin.f64 y) x))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z)))) (sqrt.f64 (.f64 (cos.f64 y) z)))
(fma.f64 1/2 (.f64 (sin.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))))) (sqrt.f64 (.f64 (cos.f64 y) z)))
(fma.f64 (.f64 (sin.f64 y) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z)))) (sqrt.f64 (.f64 (cos.f64 y) z)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (.f64 (sin.f64 y) x))) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z)))) (sqrt.f64 (.f64 (cos.f64 y) z))) (.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))))
(fma.f64 1/2 (.f64 (sin.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))))) (fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 x x) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (cos.f64 y) 3))))) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(fma.f64 (.f64 (sin.f64 y) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z)))) (fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) (sqrt.f64 (.f64 (cos.f64 y) z))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))) (.f64 (sin.f64 y) x))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z)))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))))) (+.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))))))
(fma.f64 1/2 (.f64 (sin.f64 y) (.f64 x (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z))))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5))))) (fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 x x) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (cos.f64 y) 3))))) (sqrt.f64 (.f64 (cos.f64 y) z)))))
(fma.f64 (.f64 (sin.f64 y) x) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) z)))) (fma.f64 -1/8 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)))) (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (sqrt.f64 (*.f64 (cos.f64 y) z)))))

eval331.0ms (2.6%)

Compiler: Compiled 16437 to 6643 computations (59.6% saved)

prune224.0ms (1.8%)

Pruning

31 alts after pruning (21 fresh and 10 done)

	Pruned	Kept	Total
New	790	20	810
Fresh	14	1	15
Picked	0	1	1
Done	2	9	11
Total	806	31	837

Error

0.0b

Counts

837 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	38.1b	(*.f64 (sin.f64 y) x)
	0.3b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y)))) (.f64 x (sin.f64 y)))
	38.5b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))
	25.2b	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
	25.9b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	53.7b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
	38.5b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x))
	25.1b	(*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) z)
	16.6b	(fma.f64 (.f64 z (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	25.2b	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z)
✓	16.6b	(fma.f64 x (sin.f64 y) z)
	52.3b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
	25.4b	(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 3) z)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	52.4b	(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
✓	25.1b	(*.f64 (cos.f64 y) z)
	0.3b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (-.f64 (+.f64 1 (cos.f64 y)) 1)))
✓	52.0b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	16.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	53.3b	(*.f64 y x)
✓	33.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 2)
	42.7b	(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3/2)) 2)
	25.3b	(*.f64 (log.f64 (exp.f64 (cos.f64 y))) z)
	32.4b	(fma.f64 y x z)
	51.1b	(.f64 (.f64 x (.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))
	40.9b	z
✓	34.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	43.9b	(.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 z z)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) z)))
	16.6b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) x))
✓	32.4b	(+.f64 (*.f64 y x) z)

Compiler

Compiled 365 to 251 computations (31.2% saved)

regimes237.0ms (1.9%)

Counts

70 → 1

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	x
50.0ms	z
43.0ms	y
40.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 685 to 227 computations (66.9% saved)

regimes92.0ms (0.7%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	z
17.0ms	y
17.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
16.0ms	x

Results

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

Compiler

Compiled 178 to 73 computations (59% saved)

regimes215.0ms (1.7%)

Counts

16 → 5

Calls

Call 1

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

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

Calls

3 calls:

135.0ms	y
43.0ms	z
33.0ms	x

Results

Error	Segments	Branch
8.3b	3	`x`
13.4b	5	`y`
5.4b	5	`z`

Compiler

Compiled 70 to 22 computations (68.6% saved)

bsearch328.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
61.0ms	1.4244920644270548e+91	9.662174872105316e+108
104.0ms	3.300257962750949e-115	1.8632581010382428e-111
67.0ms	5.6296287302526506e-145	5.6881035784240744e-129
95.0ms	-1.0534156578752266e+85	-4.329251279680388e+84

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes179.0ms (1.4%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	z
56.0ms	x
54.0ms	y

Results

Error	Segments	Branch
8.4b	3	`x`
13.4b	5	`y`
5.4b	5	`z`

Compiler

Compiled 65 to 21 computations (67.7% saved)

bsearch347.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
66.0ms	1.4244920644270548e+91	9.662174872105316e+108
64.0ms	3.300257962750949e-115	1.8632581010382428e-111
93.0ms	5.6296287302526506e-145	5.6881035784240744e-129
123.0ms	-1.0534156578752266e+85	-4.329251279680388e+84

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes222.0ms (1.7%)

Counts

14 → 7

Calls

Call 1

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

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

Calls

3 calls:

88.0ms	x
66.0ms	y
64.0ms	z

Results

Error	Segments	Branch
12.9b	5	`x`
14.7b	5	`y`
9.8b	7	`z`

Compiler

Compiled 59 to 19 computations (67.8% saved)

bsearch702.0ms (5.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
133.0ms	1.127550276082568e-66	1.4738264609525582e-55
137.0ms	3.300257962750949e-115	1.8632581010382428e-111
141.0ms	5.6296287302526506e-145	5.6881035784240744e-129
103.0ms	-1.2450670409105932e-118	-5.6233548502873556e-120
101.0ms	-0.0006250749902912553	-6.582803330243139e-15
86.0ms	-1.0534156578752266e+85	-4.329251279680388e+84

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes132.0ms (1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	z
31.0ms	y
30.0ms	x

Results

Error	Segments	Branch
25.7b	3	`x`
18.0b	3	`y`
23.1b	5	`z`

Compiler

Compiled 35 to 17 computations (51.4% saved)

bsearch146.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	1.9709589350215084e-6	4.061146230053281
76.0ms	-4.773562577435384e-7	-3.7524582276412786e-20

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes173.0ms (1.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	x
59.0ms	z
21.0ms	y

Results

Error	Segments	Branch
25.7b	3	`x`
18.0b	3	`y`
23.1b	5	`z`

Compiler

Compiled 31 to 16 computations (48.4% saved)

bsearch71.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.9709589350215084e-6	4.061146230053281
36.0ms	-4.773562577435384e-7	-3.7524582276412786e-20

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	x
5.0ms	z

Results

Error	Segments	Branch
32.4b	1	`x`
32.4b	1	`y`
32.4b	1	`z`

Compiler

Compiled 27 to 14 computations (48.1% saved)

regimes87.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

62.0ms	z
12.0ms	y
12.0ms	x

Results

Error	Segments	Branch
36.5b	3	`x`
39.7b	3	`y`
37.5b	3	`z`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch168.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	5.656141293262609e+127	6.030031781571279e+130
83.0ms	-4.7191401098301497e+129	-2.5007515935289884e+125

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Calls

Call 1

Inputs
z
z
z
z

Outputs
z

Calls

3 calls:

7.0ms	y
4.0ms	x
4.0ms	z

Results

Error	Segments	Branch
40.9b	1	`x`
40.9b	1	`y`
40.9b	1	`z`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	311
1	64	311

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 z -10534156578752265976675101202204290385762507306394592203912830865647131065580527812608) (.f64 (cos.f64 y) z) (if (<=.f64 z 3957377242607867/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (fma.f64 x (sin.f64 y) z) (if (<=.f64 z 3660210094440183/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 y) z) (if (<=.f64 z 14244920644270547566459992293443979613483331411146621181712747337019295578957745423531376640) (+.f64 (.f64 x (sin.f64 y)) z) (.f64 (cos.f64 y) z)))))
(if (<=.f64 z -10534156578752265976675101202204290385762507306394592203912830865647131065580527812608) (.f64 (cos.f64 y) z) (if (<=.f64 z 3957377242607867/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 z 3660210094440183/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 y) z) (if (<=.f64 z 14244920644270547566459992293443979613483331411146621181712747337019295578957745423531376640) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -10534156578752265976675101202204290385762507306394592203912830865647131065580527812608) (.f64 (cos.f64 y) z) (if (<=.f64 z -5765299186389635/9223372036854775808) (.f64 (sin.f64 y) x) (if (<=.f64 z -5656018372987261/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (.f64 (cos.f64 y) z) (if (<=.f64 z 3957377242607867/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (.f64 (sin.f64 y) x) (if (<=.f64 z 3660210094440183/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 y) z) (if (<=.f64 z 4278236026886987/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -4508502383912339/9444732965739290427392) (.f64 (sin.f64 y) x) (if (<=.f64 y 4653795206929011/2361183241434822606848) (fma.f64 y x z) (.f64 (sin.f64 y) x)))
(if (<=.f64 y -4508502383912339/9444732965739290427392) (.f64 (sin.f64 y) x) (if (<=.f64 y 4653795206929011/2361183241434822606848) (+.f64 (.f64 y x) z) (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -4719140109830149656542668170862530556694932171386864947118576676405775245439306587816723980423815521629205820931188547444853964800) (.f64 y x) (if (<=.f64 x 56561412932626094417430971997331256814915157159825139907049967430302481829014701661091602800129334734485862215302184682337075200) z (.f64 y x)))
z

Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(if (<=.f64 z -10534156578752265976675101202204290385762507306394592203912830865647131065580527812608) (.f64 (cos.f64 y) z) (if (<=.f64 z 3957377242607867/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (fma.f64 x (sin.f64 y) z) (if (<=.f64 z 3660210094440183/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 y) z) (if (<=.f64 z 14244920644270547566459992293443979613483331411146621181712747337019295578957745423531376640) (+.f64 (.f64 x (sin.f64 y)) z) (.f64 (cos.f64 y) z)))))
(if (<=.f64 z -10534156578752265976675101202204290385762507306394592203912830865647131065580527812608) (.f64 (cos.f64 y) z) (if (<=.f64 z 3957377242607867/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (fma.f64 x (sin.f64 y) z) (if (<=.f64 z 3660210094440183/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 y) z) (if (<=.f64 z 14244920644270547566459992293443979613483331411146621181712747337019295578957745423531376640) (+.f64 z (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)))))
(if (<=.f64 z -10534156578752265976675101202204290385762507306394592203912830865647131065580527812608) (.f64 (cos.f64 y) z) (if (<=.f64 z 3957377242607867/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 z 3660210094440183/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 y) z) (if (<=.f64 z 14244920644270547566459992293443979613483331411146621181712747337019295578957745423531376640) (+.f64 (.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -10534156578752265976675101202204290385762507306394592203912830865647131065580527812608) (.f64 (cos.f64 y) z) (if (<=.f64 z 3957377242607867/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (+.f64 z (.f64 (sin.f64 y) x)) (if (<=.f64 z 3660210094440183/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 y) z) (if (<=.f64 z 14244920644270547566459992293443979613483331411146621181712747337019295578957745423531376640) (+.f64 z (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -10534156578752265976675101202204290385762507306394592203912830865647131065580527812608) (.f64 (cos.f64 y) z) (if (<=.f64 z -5765299186389635/9223372036854775808) (.f64 (sin.f64 y) x) (if (<=.f64 z -5656018372987261/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (.f64 (cos.f64 y) z) (if (<=.f64 z 3957377242607867/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (.f64 (sin.f64 y) x) (if (<=.f64 z 3660210094440183/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (cos.f64 y) z) (if (<=.f64 z 4278236026886987/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 y -4508502383912339/9444732965739290427392) (.f64 (sin.f64 y) x) (if (<=.f64 y 4653795206929011/2361183241434822606848) (fma.f64 y x z) (.f64 (sin.f64 y) x)))
(if (<=.f64 y -4508502383912339/9444732965739290427392) (.f64 (sin.f64 y) x) (if (<=.f64 y 4653795206929011/2361183241434822606848) (+.f64 (.f64 y x) z) (*.f64 (sin.f64 y) x)))
(if (<=.f64 y -4508502383912339/9444732965739290427392) (.f64 (sin.f64 y) x) (if (<=.f64 y 4653795206929011/2361183241434822606848) (+.f64 z (.f64 y x)) (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
(if (<=.f64 x -4719140109830149656542668170862530556694932171386864947118576676405775245439306587816723980423815521629205820931188547444853964800) (.f64 y x) (if (<=.f64 x 56561412932626094417430971997331256814915157159825139907049967430302481829014701661091602800129334734485862215302184682337075200) z (.f64 y x)))
z

Compiler

Compiled 240 to 124 computations (48.3% saved)

soundness248.0ms (2%)

Algorithm

1×	egg-herbie

Rules

682×	`sqr-pow_binary64`
626×	`cube-prod_binary64`
461×	`*-commutative_binary64`
443×	`pow-sqr_binary64`
406×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	784
1	168	773
2	459	748
3	1472	746
4	2333	746
5	3438	746
6	3576	746
7	3793	746
8	4008	746
9	4290	746
10	4703	746
11	5202	746
12	5778	746
13	6468	746
14	6976	746
15	7372	746
16	7760	746

Stop Event

1×	node limit

Compiler

Compiled 23 to 15 computations (34.8% saved)

end83.0ms (0.7%)

Compiler: Compiled 213 to 74 computations (65.3% saved)