Details

analyze234.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.7s (22.7%)

Results

1.2s	2107×	body	1024	valid
1.1s	5115×	body	256	valid
451.0ms	1029×	body	512	valid
5.0ms	5×	body	2048	valid

Bogosity

preprocess22.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

16×	`fma-def_binary64`
8×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	38	48
2	50	48
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series15.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	187	27
2	2497	27

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify210.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	706
1	165	699
2	449	676
3	1471	674
4	2341	674
5	3450	674
6	3588	674
7	3805	674
8	4020	674
9	4302	674
10	4721	674
11	5222	674
12	5792	674
13	6482	674
14	6992	674
15	7382	674
16	7772	674

Stop Event

1×	node limit

Counts

235 → 199

Calls

Call 1

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

eval45.0ms (0.4%)

Compiler: Compiled 2995 to 1023 computations (65.8% saved)

prune59.0ms (0.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	174	25	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	26	200

Error

0.0b

Counts

200 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	14.4b	(+.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 z (sin.f64 y)))
▶	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	34.4b	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	31.5b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
	3.1b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	0.8b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 z (sin.f64 y)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	29.0b	(+.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 z (sin.f64 y)))))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	27.6b	(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
▶	0.2b	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	18.0b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	36.4b	(*.f64 z (sin.f64 y))
	0.2b	(+.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	0.2b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	26.1b	(/.f64 1 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
	13.8b	(+.f64 x (*.f64 z (sin.f64 y)))
	34.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
▶	30.0b	(+.f64 (*.f64 y z) x)
	21.9b	(+.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	23.7b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	3.2b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	37.2b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)))

Compiler

Compiled 802 to 522 computations (34.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (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 (sin.f64 y) z (*.f64 x (cos.f64 y)))

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

Outputs

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

simplify159.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	394
1	67	394
2	160	393
3	420	391
4	1355	388
5	2736	388
6	4205	388
7	4323	388
8	4496	388
9	4704	388
10	5040	388
11	5396	388
12	5872	388
13	6412	388
14	7076	388
15	7908	388

Stop Event

1×	node limit

Counts

57 → 34

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series48.0ms (0.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	y	@	inf	(log1p.f64 (cos.f64 y))
19.0ms	y	@	-inf	(log1p.f64 (cos.f64 y))
1.0ms	y	@	0	(log1p.f64 (cos.f64 y))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (cos.f64 y)))
0.0ms	y	@	0	(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

Outputs

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

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

simplify153.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
640×	`distribute-rgt-in_binary64`
629×	`distribute-rgt-out_binary64`
566×	`distribute-lft-out_binary64`
563×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	358
1	109	352
2	274	341
3	857	339
4	3397	339
5	5810	339
6	6152	339
7	6382	339
8	6599	339
9	6872	339
10	7209	339

Stop Event

1×	node limit

Counts

93 → 69

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
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) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

Outputs
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2))
(fma.f64 -1/4 (*.f64 y y) (log.f64 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) (log.f64 2)) (.f64 -1/96 (pow.f64 y 4)))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (log.f64 2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/96) -1/4) (log.f64 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) (log.f64 2)) (fma.f64 -1/1440 (pow.f64 y 6) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) (log.f64 2)) (fma.f64 -1/96 (pow.f64 y 4) (.f64 -1/1440 (pow.f64 y 6))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/1440 (pow.f64 y 6) (fma.f64 -1/96 (pow.f64 y 4) (log.f64 2))))
(fma.f64 -1/1440 (pow.f64 y 6) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/96) -1/4) (log.f64 2)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
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 (pow.f64 y 4) 1/24 (fma.f64 (*.f64 y y) -1/2 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/24) -1/2) 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 (pow.f64 y 4) 1/24 (fma.f64 (*.f64 y y) -1/2 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 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) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 (.f64 y y) -1/2 1) x)
(fma.f64 y (.f64 x (.f64 y -1/2)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 (.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24))))
(.f64 x (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 1)))
(.f64 (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/24) -1/2) 1) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)))))
(+.f64 x (.f64 x (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (.f64 y -1/2) (*.f64 (pow.f64 y 4) 1/24)))))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/24) -1/2) (fma.f64 (pow.f64 y 6) -1/720 1)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series5.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
0.0ms	y	@	0	(sqrt.f64 (cos.f64 y))
0.0ms	y	@	0	(*.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
546×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	163	14
2	1578	14

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary64`
640×	`distribute-rgt-in_binary64`
629×	`distribute-rgt-out_binary64`
577×	`associate-l_binary64`
566×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	310
1	103	304
2	268	293
3	861	291
4	3441	291
5	5854	291
6	6196	291
7	6426	291
8	6643	291
9	6916	291
10	7253	291

Stop Event

1×	node limit

Counts

88 → 69

Calls

Call 1

Inputs
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) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))

Outputs
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)
(+.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))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/24) -1/2) 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)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 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)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/24) -1/2) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 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) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/24) -1/2) 1) x)
(.f64 (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))))
(+.f64 x (.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/24) -1/2) (fma.f64 -1/720 (pow.f64 y 6) 1)))
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/4 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (.f64 (pow.f64 y 4) -1/96))
(fma.f64 (*.f64 y y) -1/4 (fma.f64 (pow.f64 y 4) -1/96 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/96) -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (.f64 (pow.f64 y 6) -19/5760)))
(+.f64 (fma.f64 (.f64 y y) -1/4 1) (fma.f64 (pow.f64 y 4) -1/96 (.f64 (pow.f64 y 6) -19/5760)))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 6) -19/5760 (fma.f64 (pow.f64 y 4) -1/96 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/96) -1/4) (fma.f64 (pow.f64 y 6) -19/5760 1))
(fma.f64 (pow.f64 y 4) -1/96 (fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 6) -19/5760 1)))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series19.0ms (0.2%)

Counts

4 → 39

Calls

21 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log-prod_binary64`
409×	`exp-prod_binary64`
355×	`pow-prod-down_binary64`
291×	`pow2_binary64`
231×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	238	34
2	2697	32

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

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

simplify167.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

704×	`unswap-sqr_binary64`
699×	`sqr-pow_binary64`
668×	`associate-+l+_binary64`
645×	`distribute-lft-out_binary64`
456×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	565
1	154	500
2	418	478
3	1415	464
4	2470	464
5	3540	464
6	3671	464
7	3827	464
8	3992	464
9	4189	464
10	5515	464
11	6535	464
12	7118	464
13	7639	464

Stop Event

1×	node limit

Counts

165 → 149

Calls

Call 1

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

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

eval145.0ms (1.2%)

Compiler: Compiled 8552 to 3352 computations (60.8% saved)

prune119.0ms (1%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	534	15	549
Fresh	7	13	20
Picked	0	1	1
Done	1	4	5
Total	542	33	575

Error

0.0b

Counts

575 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
▶	34.4b	(fma.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	13.8b	(fma.f64 (sin.f64 y) z x)
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3))
▶	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	29.0b	(+.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 z (sin.f64 y)))))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	27.6b	(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
	31.5b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 2) (.f64 z (sin.f64 y)))
	0.8b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 x (cos.f64 y)))
	0.8b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 z (sin.f64 y)))
✓	0.2b	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	36.4b	(*.f64 z (sin.f64 y))
▶	51.8b	(*.f64 y z)
	18.0b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
▶	21.9b	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
	17.5b	(fma.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	37.2b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)))
▶	0.2b	(+.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	26.3b	(+.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 y z))
	26.1b	(/.f64 1 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
	26.5b	(*.f64 (cos.f64 y) x)
	19.2b	(fma.f64 (cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	13.8b	(+.f64 x (*.f64 z (sin.f64 y)))
	3.1b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	34.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
✓	30.0b	(+.f64 (*.f64 y z) x)
	39.7b	x
✓	0.2b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	23.7b	(+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 z (sin.f64 y)))
	3.2b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))

Compiler

Compiled 912 to 598 computations (34.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (cos.f64 y))
✓	0.1b	(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.4b	(log.f64 (exp.f64 (cos.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series4.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
484×	`log1p-expm1-u_binary64`
484×	`expm1-log1p-u_binary64`
483×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1330	14

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(log.f64 (exp.f64 (cos.f64 y)))
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))

Outputs

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

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

simplify141.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1604×	`fma-def_binary64`
820×	`unswap-sqr_binary64`
612×	`sqr-pow_binary64`
454×	`cube-prod_binary64`
356×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	46	334
1	119	328
2	324	311
3	1061	307
4	1622	307
5	2083	307
6	2216	307
7	2342	307
8	2476	304
9	3991	304
10	4233	304
11	5933	304
12	6496	304
13	7149	304
14	7882	304

Stop Event

1×	node limit

Counts

89 → 72

Calls

Call 1

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

Outputs
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)
(+.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 -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)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 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)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) 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) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) x)
(fma.f64 (.f64 y y) (.f64 -1/2 x) x)
(fma.f64 y (.f64 y (.f64 -1/2 x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))))
(+.f64 x (.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))
(.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/24) -1/2))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) 1))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (E.f64))
(.f64 (fma.f64 -1/2 (.f64 y y) 1) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64)))
(fma.f64 -1/2 (.f64 y (.f64 y (E.f64))) (fma.f64 (*.f64 (pow.f64 y 4) 1/6) (E.f64) (E.f64)))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/6)) (E.f64))
(.f64 (E.f64) (fma.f64 y (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/2 y)) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (.f64 (pow.f64 y 4) (E.f64)) (fma.f64 -31/720 (.f64 (pow.f64 y 6) (E.f64)) (E.f64))))
(+.f64 (.f64 (E.f64) (+.f64 (.f64 (pow.f64 y 4) 1/6) (.f64 (pow.f64 y 6) -31/720))) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(fma.f64 (E.f64) (fma.f64 (pow.f64 y 4) 1/6 (.f64 (pow.f64 y 6) -31/720)) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(.f64 (E.f64) (+.f64 (fma.f64 (pow.f64 y 6) -31/720 1) (fma.f64 -1/2 (.f64 y y) (*.f64 (pow.f64 y 4) 1/6))))
(.f64 (E.f64) (fma.f64 -1/2 (.f64 y y) (fma.f64 (pow.f64 y 4) 1/6 (fma.f64 (pow.f64 y 6) -31/720 1))))
(.f64 (E.f64) (fma.f64 y (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/2 y)) (fma.f64 (pow.f64 y 6) -31/720 1)))

localize3.0ms (0%)

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
	0.1b	(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
	0.2b	(expm1.f64 (log1p.f64 (cos.f64 y)))
	0.3b	(log1p.f64 (cos.f64 y))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
0.0ms	z	@	inf	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
0.0ms	y	@	inf	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
0.0ms	y	@	0	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
0.0ms	x	@	-inf	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`pow1_binary64`
916×	`expm1-log1p-u_binary64`
915×	`add-log-exp_binary64`
915×	`log1p-expm1-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	189	10
2	2486	10

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))

Outputs

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

simplify182.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

909×	`fma-def_binary64`
671×	`sqr-pow_binary64`
476×	`distribute-lft-out_binary64`
444×	`cube-prod_binary64`
426×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	324
1	58	324
2	139	321
3	375	321
4	1285	318
5	2767	318
6	3925	318
7	4006	318
8	4129	318
9	4284	318
10	4546	318
11	4805	318
12	5158	318
13	5535	318
14	6026	318
15	6613	318
16	7331	318
17	7661	318
18	7923	318

Stop Event

1×	node limit

Counts

74 → 49

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series9.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

simplify151.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
636×	`distribute-rgt-in_binary64`
628×	`distribute-rgt-out_binary64`
581×	`associate-l_binary64`
578×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	376
1	110	342
2	282	333
3	885	331
4	3468	331
5	5936	331
6	6294	331
7	6547	331
8	6794	331
9	7104	331
10	7489	331

Stop Event

1×	node limit

Counts

98 → 73

Calls

Call 1

Inputs
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)))))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

Outputs
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)
(+.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 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/24 -1/2) 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)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 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)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 1 (cos.f64 y))
(cos.f64 y)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/6)))
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (*.f64 y y) -1/6 1))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) -1/72 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/72) -1/6) 1)
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 (.f64 y y) -1/6))))
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (*.f64 y y) -1/6 1)))
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 y (*.f64 y -1/6) 1)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) -1/72 (fma.f64 (pow.f64 y 6) -23/6480 1)))
(fma.f64 (pow.f64 y 4) -1/72 (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 6) -23/6480 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/72) -1/6) (fma.f64 (pow.f64 y 6) -23/6480 1))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(fma.f64 y (.f64 y (.f64 -1/2 x)) x)
(fma.f64 (.f64 y x) (.f64 -1/2 y) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) x)
(.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2) 1) x)
(fma.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) x x)
(.f64 (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))))
(+.f64 x (.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1))))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) (.f64 -1/720 (pow.f64 y 6)))) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) 1))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series12.0ms (0.1%)

Counts

3 → 33

Calls

18 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify13.0ms (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	10	349
1	14	349
2	16	349

Stop Event

1×

saturated

Counts

87 → 60

Calls

Call 1

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

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

eval107.0ms (0.9%)

Compiler: Compiled 7158 to 2630 computations (63.3% saved)

prune105.0ms (0.9%)

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	447	11	458
Fresh	9	14	23
Picked	1	0	1
Done	1	8	9
Total	458	33	491

Error

0.0b

Counts

491 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
	22.4b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 y z))
	42.0b	(fma.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
	41.8b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 2) (.f64 y z))
	13.8b	(fma.f64 (sin.f64 y) z x)
	36.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
✓	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	3.1b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	13.8b	(+.f64 x (*.f64 z (sin.f64 y)))
▶	40.7b	(+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 y z))
▶	45.7b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))))))
✓	30.0b	(+.f64 (*.f64 y z) x)
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	29.0b	(+.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 z (sin.f64 y)))))
▶	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
▶	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	35.1b	(fma.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	27.6b	(+.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
✓	0.2b	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	36.4b	(*.f64 z (sin.f64 y))
✓	51.8b	(*.f64 y z)
	26.1b	(/.f64 1 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
	26.5b	(*.f64 (cos.f64 y) x)
	19.2b	(fma.f64 (cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	34.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (sin.f64 y)))
	0.8b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 x (cos.f64 y)))
	39.7b	x
✓	21.9b	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
✓	0.2b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	26.3b	(+.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 y z))
	3.2b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))
	21.9b	(+.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 y z))

Compiler

Compiled 864 to 566 computations (34.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(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)

series6.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
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	@	0	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
0.0ms	y	@	0	(pow.f64 (cos.f64 y) 2)
0.0ms	y	@	inf	(pow.f64 (cos.f64 y) 2)

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`pow1_binary64`
451×	`add-sqr-sqrt_binary64`
441×	`*-un-lft-identity_binary64`
434×	`add-log-exp_binary64`
434×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	120	14
2	1269	14

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

699×	`distribute-rgt-neg-in_binary64`
632×	`distribute-lft-neg-in_binary64`
438×	`associate-l_binary64`
437×	`unswap-sqr_binary64`
435×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	166
1	92	159
2	214	153
3	656	153
4	2793	153
5	6336	153

Stop Event

1×	node limit

Counts

54 → 52

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 y z))
✓	0.1b	(pow.f64 (*.f64 (cos.f64 y) x) 3)
✓	0.1b	(*.f64 (cos.f64 y) x)
✓	39.3b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))

Compiler

Compiled 40 to 16 computations (60% saved)

series14.0ms (0.1%)

Counts

4 → 88

Calls

27 calls:

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

rewrite236.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
396×	`fma-def_binary64`
378×	`pow-prod-down_binary64`
375×	`exp-prod_binary64`
272×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	237	31
2	2818	31

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

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

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

simplify116.0ms (1%)

Algorithm

1×	egg-herbie

Rules

653×	`distribute-rgt-out_binary64`
613×	`fma-def_binary64`
558×	`distribute-rgt-in_binary64`
549×	`distribute-lft-in_binary64`
451×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1012
1	230	1000
2	840	963
3	4251	952

Stop Event

1×	node limit

Counts

276 → 183

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(pow.f64 x 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2))) x) (.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x))))
(+.f64 (.f64 y z) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x))))
(+.f64 (.f64 y z) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))

Outputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 -1/2 (.f64 y y))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))
(fma.f64 x (.f64 -1/720 (pow.f64 y 6)) (fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 -1/2 (*.f64 y y))) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 -1)) (neg.f64 x))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 -1)) (neg.f64 x))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 -1)) (neg.f64 x))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 -1)) (neg.f64 x))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 -1/2 (.f64 y y))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (.f64 y y)) x)))
(fma.f64 x (.f64 -1/720 (pow.f64 y 6)) (fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 -1/2 (*.f64 y y))) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(pow.f64 x 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))
(fma.f64 (.f64 y y) (.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))
(fma.f64 y (.f64 y (.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3))
(.f64 (+.f64 (.f64 (*.f64 y y) -3/2) 1) (pow.f64 x 3))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) 1/3) (.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (.f64 (pow.f64 x 3) 1/3)) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 y (.f64 y (.f64 (pow.f64 x 3) -3/2)) (fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 3) 7/8) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (.f64 (+.f64 (.f64 (.f64 y y) -3/2) 1) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 x (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 2))) x) (.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) 1/3) (.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (pow.f64 y 6) (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 (.f64 x (.f64 (.f64 x x) 1/3)) (fma.f64 (.f64 (.f64 x x) -2/45) x (.f64 -1/720 (pow.f64 x 3))))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (.f64 (pow.f64 x 3) 1/3)) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 x 3) -1/24 (fma.f64 -1/2 (.f64 (pow.f64 x 3) 1/3) (fma.f64 -1/720 (pow.f64 x 3) (.f64 (pow.f64 x 3) -2/45)))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (+.f64 (.f64 (pow.f64 x 3) -1/6) (fma.f64 (pow.f64 x 3) -1/24 (.f64 (pow.f64 x 3) -11/240))) (fma.f64 y (.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 x (.f64 (.f64 x x) -19/90) (.f64 (pow.f64 x 3) -31/720)) (.f64 (+.f64 (.f64 (*.f64 y y) -3/2) 1) (pow.f64 x 3))))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (.f64 x (.f64 y y)) x))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 y z x))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) x (.f64 y z))
(+.f64 (.f64 y z) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x)))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (.f64 -1/2 (.f64 y y))) (fma.f64 y z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x))
(.f64 (.f64 (cos.f64 y) (cbrt.f64 -1)) (neg.f64 x))
(.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1))))
(+.f64 (.f64 y z) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x))))
(fma.f64 y z (neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x)))
(-.f64 (.f64 y z) (.f64 x (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(fma.f64 y z (.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1)))))
(+.f64 (.f64 y z) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x))))
(fma.f64 y z (neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x)))
(-.f64 (.f64 y z) (.f64 x (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(fma.f64 y z (.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1)))))
(+.f64 (.f64 y z) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) x))))
(fma.f64 y z (neg.f64 (.f64 (.f64 (cbrt.f64 -1) (cos.f64 y)) x)))
(-.f64 (.f64 y z) (.f64 x (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(fma.f64 y z (.f64 (cos.f64 y) (.f64 x (neg.f64 (cbrt.f64 -1)))))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 y z))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.5b	(cbrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)

Compiler

Compiled 50 to 12 computations (76% saved)

series142.0ms (1.2%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
117.0ms	z	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
3.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	254	26
2	2981	26

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

757×	`distribute-rgt-in_binary64`
755×	`distribute-lft-in_binary64`
452×	`associate-r_binary64`
396×	`times-frac_binary64`
352×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	3526
1	1019	3200
2	3983	3054

Stop Event

1×	node limit

Counts

152 → 164

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y)))) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/9) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y)))) x)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y)))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (pow.f64 1 1/3))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 z (sin.f64 y))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3)))))))))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/9) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y)))) x))))
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))))))
(+.f64 (.f64 (pow.f64 1 1/3) x) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/6 z) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (.f64 z (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))) (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/6 z) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2)))))))))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (sin.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (sin.f64 y)))) z) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (sin.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (sin.f64 y)))) z) (+.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))))))) (pow.f64 z 2)) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (sin.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (sin.f64 y)))) z) (+.f64 (.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x))))) (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3)) (+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3)))))))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))))))) (pow.f64 z 2)) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 z (sin.f64 y)) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (cos.f64 y) x))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/3) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (cos.f64 y) x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3))))) (pow.f64 x 3)))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/3) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 z) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z)))))))) (+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 z 3)))) (pow.f64 (.f64 (cos.f64 y) x) 1/3))))

Outputs
(.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y)))) x))
(+.f64 (.f64 z (sin.f64 y)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cos.f64 y)) 1) x))
(fma.f64 z (sin.f64 y) (.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cos.f64 y))) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/9) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y)))) x)))
(+.f64 (.f64 z (sin.f64 y)) (fma.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (pow.f64 (cos.f64 y) 2)) (fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18))) -1/9) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (pow.f64 (cos.f64 y) 2)) -1/9))) (.f64 x x) (.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cos.f64 y)) 1) x)))
(fma.f64 z (sin.f64 y) (fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cos.f64 y))) x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 2/9 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (pow.f64 (cos.f64 y) 2) (fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cos.f64 y) 2) -1/9)) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (*.f64 (pow.f64 (cos.f64 y) 2) -1/9))))))))
(fma.f64 z (sin.f64 y) (.f64 x (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cos.f64 y))) (.f64 x (+.f64 (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18)) -1/9))) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) 1/9))))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y)))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (pow.f64 1 1/3))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3)))) (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 z (sin.f64 y))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3)))))))))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (sin.f64 y))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 z (sin.f64 y))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (cos.f64 y) 2))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/9) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (cos.f64 y)))) x))))
(fma.f64 (fma.f64 1/3 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18))) -1/9)) (cos.f64 y)) (fma.f64 -1/3 (.f64 1 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 3)) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 3))))) (+.f64 (.f64 -2/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 3))) (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (+.f64 (.f64 -2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 z (sin.f64 y)))) (.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (.f64 z (sin.f64 y))))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 3)) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 3)))))))))) (pow.f64 x 3) (+.f64 (.f64 z (sin.f64 y)) (fma.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (pow.f64 (cos.f64 y) 2)) (fma.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)) 1/18))) -1/9) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (.f64 z (sin.f64 y))) 1/18)) (pow.f64 (cos.f64 y) 2)) -1/9))) (.f64 x x) (.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cos.f64 y)) 1) x))))
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(*.f64 (pow.f64 1 1/3) x)
x
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(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (sin.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (sin.f64 y)))) z) (+.f64 (.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x))))) (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3)) (+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3)))))))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))))))) (pow.f64 z 2)) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))))
(fma.f64 (.f64 (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) 1) z (fma.f64 (+.f64 (.f64 -2/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3))) (fma.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3))))) (.f64 -2/27 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x)))) (cbrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 1/3 (.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18))) -1/9) (.f64 (sin.f64 y) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)))) (.f64 -1/3 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)))))))) (pow.f64 z 3) (fma.f64 (fma.f64 -1/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18))) (fma.f64 2/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18))) (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18))) -1/9)))) (.f64 z z) (.f64 (cos.f64 y) x))))
(fma.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (fma.f64 (pow.f64 z 3) (fma.f64 -2/27 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2))) (pow.f64 (sin.f64 y) 3)) (fma.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 -2/27 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x)) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2))) (pow.f64 (sin.f64 y) 3)) -5/27)))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18))) (.f64 -1/9 (.f64 (sin.f64 y) (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2)) 1/18))))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2))) (pow.f64 (sin.f64 y) 3)) -5/27))))) (fma.f64 (cos.f64 y) x (.f64 (.f64 z z) (+.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18)) -1/9))) (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18))) 1/9))))))
(fma.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) 1/18))) (fma.f64 (pow.f64 z 3) (fma.f64 -2/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) (fma.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (fma.f64 -2/27 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) x)) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) -5/27)))) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18)) (.f64 (pow.f64 (sin.f64 y) 2) -1/9)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) -5/27))))) (fma.f64 (cos.f64 y) x (.f64 (.f64 z z) (+.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18)) (.f64 (pow.f64 (sin.f64 y) 2) -1/9))) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/18)) 1/9)))))))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (cos.f64 y) x))) (pow.f64 (*.f64 z (sin.f64 y)) 1/3))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 z (sin.f64 y))))
(fma.f64 1/3 (.f64 (.f64 (.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (cbrt.f64 (.f64 z (sin.f64 y))))
(fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (cos.f64 y)))) (cbrt.f64 (.f64 z (sin.f64 y))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (cos.f64 y) x))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/3) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 z (sin.f64 y)))) (.f64 -1/9 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)))))
(fma.f64 1/3 (.f64 (.f64 (.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (fma.f64 -1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)))) (cbrt.f64 (.f64 z (sin.f64 y)))))
(fma.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18))) (.f64 (cos.f64 y) x) (fma.f64 -1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)))) (cbrt.f64 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (.f64 (cos.f64 y) x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cos.f64 y) 3))))) (pow.f64 x 3)))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/3) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (.f64 (cos.f64 y) x)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (.f64 (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 3)) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 3)))) (pow.f64 x 3))) (+.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 -1/9 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 7)) (pow.f64 (sin.f64 y) 7)) 1/18)))))))
(fma.f64 1/3 (.f64 (.f64 (.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 3)) -5/27) (pow.f64 x 3))) (fma.f64 -1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)))) (cbrt.f64 (.f64 z (sin.f64 y))))))
(fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (cos.f64 y)))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 3)) -5/27) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))))) (fma.f64 -1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)))) (cbrt.f64 (.f64 z (sin.f64 y))))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (cbrt.f64 x) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (*.f64 z y)) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (cbrt.f64 x) (.f64 1/3 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 y y)) (-.f64 (.f64 x -1/2) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (.f64 z z)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (*.f64 z y)))))
(fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 (.f64 -1/3 (.f64 z z)) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))) (cbrt.f64 x))
(fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))) (cbrt.f64 x))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 z) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z)))))))) (+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 y 3)) (-.f64 (.f64 z -1/6) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3)) (.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (.f64 z (-.f64 (.f64 x -1/2) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (.f64 z z))))))))) (+.f64 (cbrt.f64 x) (.f64 1/3 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 y y)) (-.f64 (.f64 x -1/2) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (.f64 z z)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))))))
(fma.f64 1/3 (.f64 (-.f64 (.f64 z -1/6) (fma.f64 2/3 (.f64 z (.f64 (fma.f64 x -1/2 (.f64 (.f64 -1/3 (.f64 z z)) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)))) (.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 z 3))))) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 (.f64 -1/3 (.f64 z z)) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))) (cbrt.f64 x)))
(fma.f64 1/3 (.f64 (+.f64 (.f64 z (-.f64 -1/6 (.f64 2/3 (.f64 (fma.f64 x -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)))))) (.f64 (pow.f64 z 3) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) -1/27))) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 y y) (fma.f64 x -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)))))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)) (.f64 z y))) (cbrt.f64 x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
(fma.f64 1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18))) (cbrt.f64 (.f64 (cos.f64 y) x)))
(fma.f64 (.f64 (.f64 1/3 (pow.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2)) 1/18)) (.f64 z (sin.f64 y)) (cbrt.f64 (.f64 (cos.f64 y) x)))
(fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)))) (cbrt.f64 (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3)))
(fma.f64 -1/9 (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18))) (fma.f64 1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18))) (cbrt.f64 (.f64 (cos.f64 y) x))))
(fma.f64 (.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (fma.f64 (.f64 (.f64 1/3 (pow.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2)) 1/18)) (.f64 z (sin.f64 y)) (cbrt.f64 (.f64 (cos.f64 y) x))))
(fma.f64 -1/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)))) (cbrt.f64 (.f64 (cos.f64 y) x))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 z (sin.f64 y)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 z 3)))) (pow.f64 (.f64 (cos.f64 y) x) 1/3))))
(fma.f64 -1/9 (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18))) (fma.f64 1/3 (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3))))) (pow.f64 z 3)) (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2)) 1/18)))) (fma.f64 -1/3 (.f64 (pow.f64 z 3) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2))) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (cos.f64 y) 2))) (pow.f64 (sin.f64 y) 3)) -5/27))) (cbrt.f64 (.f64 (cos.f64 y) x)))))
(fma.f64 -1/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) 1/18)))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))) (pow.f64 (sin.f64 y) 3)) -5/27) (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)))))) (cbrt.f64 (.f64 (cos.f64 y) x)))))

localize83.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 x (cos.f64 y)))))
✓	1.7b	(.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))))
✓	2.9b	(+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3))
✓	38.5b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))))))

Compiler

Compiled 117 to 33 computations (71.8% saved)

series73.0ms (0.6%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
46.0ms	z	@	0	(.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 x (cos.f64 y))))
3.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))))))
2.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))))))
1.0ms	y	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))))))
1.0ms	y	@	-inf	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))))))

rewrite120.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`fma-neg_binary64`
332×	`expm1-udef_binary64`
332×	`log1p-udef_binary64`
206×	`add-sqr-sqrt_binary64`
204×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	114
1	415	73
2	6210	73

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify829.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

610×	`associate-/l*_binary64`
363×	`associate-/r*_binary64`
298×	`associate-*l/_binary64`
292×	`fma-def_binary64`
271×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	3359
1	707	3034
2	3097	2634

Stop Event

1×	node limit

Counts

318 → 246

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)))) (pow.f64 x 2))) (+.f64 (.f64 y z) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)))) (pow.f64 x 2))) (+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)))) (.f64 (cos.f64 y) (pow.f64 x 3))) (.f64 y z))) (.f64 (cos.f64 y) x))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) x)) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (.f64 y z)) (.f64 (cos.f64 y) (pow.f64 x 2)))) (*.f64 (cos.f64 y) x))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (cos.f64 y) x))) (*.f64 (cos.f64 y) x))))
(+.f64 (.f64 y z) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (cos.f64 y) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (.f64 y z)) (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (cos.f64 y) x))) (*.f64 (cos.f64 y) x)))))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x)))) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) z) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))) z) x)) (.f64 1/2 z))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x)))) x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z))) y)) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z))) (.f64 (cos.f64 y) x)) (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z))) y)) (*.f64 (cos.f64 y) x))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z))) (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z))) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z))) (.f64 (cos.f64 y) x)) (.f64 (pow.f64 y 2) z)) (*.f64 (cos.f64 y) x)))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 y 2) (.f64 (cos.f64 y) x))) (pow.f64 z 2))) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 y 2) (.f64 (cos.f64 y) x))) (pow.f64 z 3))) (.f64 (cos.f64 y) x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 y 2) (.f64 (cos.f64 y) x))) (pow.f64 z 2))) (.f64 (cos.f64 y) x))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) y) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) y))) z)) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) y) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) y))) z)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) y) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) y))) (.f64 (cos.f64 y) x)) (.f64 y (pow.f64 z 2)))) (*.f64 (cos.f64 y) x))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z))) (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z))) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) y) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) y))) (.f64 (cos.f64 y) x)) (.f64 y (pow.f64 z 2))) (*.f64 (cos.f64 y) x)))))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(pow.f64 x 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) x)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(.f64 -1 (.f64 y (*.f64 z x)))
(+.f64 (.f64 -1 (.f64 y (.f64 z x))) (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 3) (.f64 z x))) (+.f64 (.f64 -1 (.f64 y (.f64 z x))) (*.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 3) (.f64 z x))) (+.f64 (.f64 -1 (.f64 y (.f64 z x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 y 5) (.f64 z x))) (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(.f64 -1 (.f64 y (.f64 z (.f64 (cos.f64 y) x))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (.f64 (cos.f64 y) x))))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (.f64 (cos.f64 y) x))))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (.f64 (cos.f64 y) x))))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (.f64 (cos.f64 y) x))))))
(pow.f64 x 2)
(+.f64 (.f64 -1 (.f64 y (*.f64 z x))) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 y (.f64 z x))) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))))
(+.f64 (.f64 -1 (.f64 y (.f64 z x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 3) (.f64 z x))) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (+.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2)))))))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (.f64 (cos.f64 y) x))))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (.f64 (cos.f64 y) x))))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (.f64 y (.f64 (cos.f64 y) (*.f64 z x)))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))

Outputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)))) (pow.f64 x 2))) (+.f64 (.f64 y z) (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z))) (.f64 x x)) (fma.f64 y z (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 y z (.f64 (cos.f64 y) x)))
(fma.f64 y z (fma.f64 (cos.f64 y) x 0))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)))) (pow.f64 x 2))) (+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)) (.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z)))) (.f64 (cos.f64 y) (pow.f64 x 3))) (.f64 y z))) (.f64 (cos.f64 y) x))))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z))) (.f64 x x)) (fma.f64 y z (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 y z (.f64 (cos.f64 y) x)))
(fma.f64 y z (fma.f64 (cos.f64 y) x 0))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) x)) (.f64 (cos.f64 y) x)))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z))) (.f64 x x)) (fma.f64 y z (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 y z (.f64 (cos.f64 y) x)))
(fma.f64 y z (fma.f64 (cos.f64 y) x 0))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (.f64 y z)) (.f64 (cos.f64 y) (pow.f64 x 2)))) (*.f64 (cos.f64 y) x))))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z))) (.f64 x x)) (fma.f64 y z (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 y z (.f64 (cos.f64 y) x)))
(fma.f64 y z (fma.f64 (cos.f64 y) x 0))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (cos.f64 y) x))) (*.f64 (cos.f64 y) x))))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z))) (.f64 x x)) (fma.f64 y z (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 y z (.f64 (cos.f64 y) x)))
(fma.f64 y z (fma.f64 (cos.f64 y) x 0))
(+.f64 (.f64 y z) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (cos.f64 y) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (cos.f64 y))) (.f64 y z)) (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (cos.f64 y) x))) (*.f64 (cos.f64 y) x)))))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z))) (.f64 x x)) (fma.f64 y z (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 y z (.f64 (cos.f64 y) x)))
(fma.f64 y z (fma.f64 (cos.f64 y) x 0))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x)))) x))
(fma.f64 y z (fma.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (.f64 0 (/.f64 (.f64 z z) x))) x))
(fma.f64 y z (fma.f64 (*.f64 y y) (fma.f64 x -1/2 0) x))
(fma.f64 y z (fma.f64 (.f64 y y) (.f64 x -1/2) x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 z 2) (.f64 -1 (pow.f64 x 2))) z) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))) z) x)) (.f64 1/2 z))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x)))) x)))
(fma.f64 y z (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) (+.f64 (/.f64 (+.f64 (.f64 z z) (neg.f64 (.f64 x x))) (/.f64 (.f64 x x) z)) (fma.f64 -1 (/.f64 (-.f64 (.f64 x -1/2) (.f64 0 (/.f64 (.f64 z z) x))) (/.f64 x z)) (.f64 z 1/2)))) (fma.f64 (.f64 y y) (-.f64 (.f64 x -1/2) (.f64 0 (/.f64 (.f64 z z) x))) x)))
(fma.f64 y z (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 (pow.f64 z 3) (.f64 x x)) (+.f64 (.f64 (/.f64 z x) (/.f64 (-.f64 (.f64 z z) (.f64 x x)) x)) (-.f64 (.f64 z 1/2) (.f64 (/.f64 (fma.f64 x -1/2 0) x) z)))) (fma.f64 (*.f64 y y) (fma.f64 x -1/2 0) x)))
(fma.f64 y z (fma.f64 (pow.f64 y 3) (-.f64 (.f64 (/.f64 z x) (-.f64 (.f64 (/.f64 z x) z) (/.f64 (-.f64 (.f64 z z) (.f64 x x)) x))) (.f64 z (-.f64 1/2 (/.f64 (.f64 x -1/2) x)))) (fma.f64 (.f64 y y) (.f64 x -1/2) x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z))) y)) (.f64 (cos.f64 y) x)))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z))) (.f64 x x)) (fma.f64 y z (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 y z (.f64 (cos.f64 y) x)))
(fma.f64 y z (fma.f64 (cos.f64 y) x 0))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z))) (.f64 (cos.f64 y) x)) (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z))) y)) (*.f64 (cos.f64 y) x))))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z))) (.f64 x x)) (fma.f64 y z (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 y z (.f64 (cos.f64 y) x)))
(fma.f64 y z (fma.f64 (cos.f64 y) x 0))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z))) (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (.f64 y z) (.f64 x x))) (fma.f64 y z (fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (.f64 y z) (.f64 x x))) (*.f64 (cos.f64 y) x))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) 2) y) (/.f64 x (/.f64 z x)) (fma.f64 y z (-.f64 (.f64 (cos.f64 y) x) (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (/.f64 z x) (/.f64 y x))))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) 2) y) (.f64 (/.f64 x z) x) (-.f64 (fma.f64 y z (.f64 (cos.f64 y) x)) (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) y) (.f64 (/.f64 x z) x))))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 y z))) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) z))) (.f64 (cos.f64 y) x)) (.f64 (pow.f64 y 2) z)) (*.f64 (cos.f64 y) x)))))
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (.f64 y z) (.f64 x x))) (fma.f64 y z (fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (.f64 y z) (.f64 x x))) (*.f64 (cos.f64 y) x))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) 2) y) (/.f64 x (/.f64 z x)) (fma.f64 y z (-.f64 (.f64 (cos.f64 y) x) (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (/.f64 z x) (/.f64 y x))))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) 2) y) (.f64 (/.f64 x z) x) (-.f64 (fma.f64 y z (.f64 (cos.f64 y) x)) (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) y) (.f64 (/.f64 x z) x))))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 y z) (.f64 (cos.f64 y) x))
(fma.f64 y z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 y 2) (.f64 (cos.f64 y) x))) (pow.f64 z 2))) (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (.f64 (.f64 0 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 y z))) (.f64 x x)) (fma.f64 y z (*.f64 (cos.f64 y) x)))
(fma.f64 0 (.f64 x x) (fma.f64 y z (.f64 (cos.f64 y) x)))
(fma.f64 y z (fma.f64 (cos.f64 y) x 0))
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(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (*.f64 z z))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x))))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 z (*.f64 y z)))
(.f64 y (.f64 y (*.f64 z z)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (*.f64 (cos.f64 y) x)))))
(fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (.f64 z z)))
(fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (*.f64 y z) (neg.f64 x)) (cos.f64 y)))
(.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (.f64 (cos.f64 y) x))))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (*.f64 z z))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 -1 (.f64 y (.f64 z (.f64 (cos.f64 y) x))))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (*.f64 z z))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (.f64 y (.f64 (cos.f64 y) (*.f64 z x)))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (neg.f64 (.f64 y (.f64 z (.f64 (cos.f64 y) x)))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) x) (-.f64 (.f64 (cos.f64 y) x) (.f64 y z)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (*.f64 z z))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (*.f64 z z))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x))))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 z (*.f64 y z)))
(.f64 y (.f64 y (*.f64 z z)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (.f64 z z)))
(fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (*.f64 y z) (neg.f64 x)) (cos.f64 y)))
(.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (*.f64 z z))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (*.f64 z z))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x))))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 z (*.f64 y z)))
(.f64 y (.f64 y (*.f64 z z)))
(+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (.f64 z z)))
(fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (*.f64 y z) (neg.f64 x)) (cos.f64 y)))
(.f64 (.f64 y z) (-.f64 (.f64 y z) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (*.f64 z z))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 -1 (.f64 y (.f64 (cos.f64 y) (.f64 z x))) (.f64 (.f64 y y) (*.f64 z z))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (fma.f64 (.f64 y y) (.f64 z z) (.f64 (.f64 (.f64 y z) (neg.f64 x)) (cos.f64 y))))
(fma.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x) (.f64 (.f64 y z) (-.f64 (.f64 y z) (*.f64 (cos.f64 y) x))))

eval494.0ms (4.1%)

Compiler: Compiled 21848 to 9389 computations (57% saved)

prune281.0ms (2.3%)

Pruning

36 alts after pruning (26 fresh and 10 done)

	Pruned	Kept	Total
New	810	14	824
Fresh	8	12	20
Picked	1	0	1
Done	2	10	12
Total	821	36	857

Error

0.0b

Counts

857 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	26.1b	(/.f64 1 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))
	42.0b	(fma.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) x)
✓	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.7b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (cos.f64 y)))
	21.9b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 y z))
	13.8b	(fma.f64 (sin.f64 y) z x)
	36.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
✓	0.4b	(+.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	3.1b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	13.8b	(+.f64 x (*.f64 z (sin.f64 y)))
	41.8b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 2) (.f64 y z))
✓	40.7b	(+.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 y z))
	40.9b	(+.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (.f64 y z))
✓	30.0b	(+.f64 (*.f64 y z) x)
	52.0b	(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
	26.3b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 y z))
	27.1b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
	22.0b	(pow.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 y z))) -1)
	35.1b	(fma.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
✓	0.2b	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
✓	36.4b	(*.f64 z (sin.f64 y))
✓	51.8b	(*.f64 y z)
	36.8b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
	39.7b	x
	43.0b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
	26.5b	(*.f64 (cos.f64 y) x)
	21.9b	(+.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 y z))
	0.4b	(fma.f64 (.f64 x (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 (cos.f64 y)) (.f64 z (sin.f64 y)))
	51.6b	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
	19.2b	(fma.f64 (cbrt.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 3))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
	52.2b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
	0.8b	(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) (.f64 x (cos.f64 y)))
✓	21.9b	(+.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
✓	0.2b	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	26.3b	(+.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 y z))
	3.2b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) z) (.f64 x (cos.f64 y)))

Compiler

Compiled 487 to 332 computations (31.8% saved)

regimes286.0ms (2.4%)

Counts

66 → 1

Calls

Call 1

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

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

Calls

5 calls:

78.0ms	z
78.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
38.0ms	y
37.0ms	x
36.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

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

Compiler

Compiled 812 to 264 computations (67.5% saved)

regimes85.0ms (0.7%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	y
10.0ms	z
10.0ms	x
9.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

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

Compiler

Compiled 140 to 55 computations (60.7% saved)

regimes211.0ms (1.7%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

3 calls:

106.0ms	x
52.0ms	z
50.0ms	y

Results

Error	Segments	Branch
6.2b	5	`x`
11.1b	5	`y`
7.0b	3	`z`

Compiler

Compiled 76 to 28 computations (63.2% saved)

bsearch624.0ms (5.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
134.0ms	3.1578212054370495e+23	8.08564615192362e+24
140.0ms	-1.2343978564443895e-48	-1.3203517555122354e-49
181.0ms	-4.411838439478305e+60	-2.258671044800564e+57
168.0ms	-7.422309639359841e+106	-8.357271532139982e+104

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes256.0ms (2.1%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

149.0ms	z
68.0ms	x
34.0ms	y

Results

Error	Segments	Branch
6.2b	5	`x`
11.1b	5	`y`
7.0b	3	`z`

Compiler

Compiled 71 to 27 computations (62% saved)

bsearch434.0ms (3.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
119.0ms	3.1578212054370495e+23	8.08564615192362e+24
112.0ms	-1.2343978564443895e-48	-1.3203517555122354e-49
102.0ms	-4.411838439478305e+60	-2.258671044800564e+57
101.0ms	-7.422309639359841e+106	-8.357271532139982e+104

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes222.0ms (1.8%)

Counts

7 → 6

Calls

Call 1

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

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

Calls

3 calls:

130.0ms	y
53.0ms	x
37.0ms	z

Results

Error	Segments	Branch
11.4b	4	`x`
12.5b	6	`y`
11.0b	6	`z`

Compiler

Compiled 40 to 18 computations (55% saved)

bsearch787.0ms (6.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
203.0ms	1.2095943291590694e+74	6.772014896961484e+79
145.0ms	-7.609276778893957e-56	-2.9986929803169554e-57
92.0ms	-8434.577087517517	-0.00018542733203779686
164.0ms	-7.850447580832386e+28	-3.1097357776610896e+25
182.0ms	-2.5736110648635675e+88	-2.2411085982629562e+82

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes97.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	z
28.0ms	x
27.0ms	y

Results

Error	Segments	Branch
18.3b	3	`x`
15.9b	3	`y`
19.7b	3	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch139.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	0.00299966792259384	0.30759421190711117
71.0ms	-3349594454779.5894	-1.8472528501055167e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes29.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
8.0ms	z
8.0ms	x

Results

Error	Segments	Branch
30.0b	1	`x`
30.0b	1	`y`
30.0b	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes60.0ms (0.5%)

Accuracy

Total -27.6b remaining (-79.7%)

Threshold costs -27.6b (-79.7%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

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

Calls

3 calls:

30.0ms	x
20.0ms	z
8.0ms	y

Results

Error	Segments	Branch
35.2b	3	`x`
39.7b	1	`y`
34.7b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch141.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	1.3868229239506407e+116	1.2488693318628816e+125
79.0ms	-5.668647897976149e+105	-3.88722192542713e+103

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	271
1	66	271

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -74223096393598408163662600712858085555805206216770477416660436463762269158263728526179377344699075101982720) (.f64 (cos.f64 y) x) (if (<=.f64 x -4411838439478304859327911890000199895467115026096927698583552) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x -8124829193307083/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (cos.f64 y) x) (if (<=.f64 x 315782120543704953389056) (fma.f64 (sin.f64 y) z x) (.f64 (cos.f64 y) x)))))
(if (<=.f64 x -74223096393598408163662600712858085555805206216770477416660436463762269158263728526179377344699075101982720) (.f64 (cos.f64 y) x) (if (<=.f64 x -4411838439478304859327911890000199895467115026096927698583552) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x -8124829193307083/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (cos.f64 y) x) (if (<=.f64 x 315782120543704953389056) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 z -25736110648635675407841539353112717341766080682032115947692750593701677617006133028847616) (.f64 z (sin.f64 y)) (if (<=.f64 z -78504475808323859431731232768) (.f64 (cos.f64 y) x) (if (<=.f64 z -4636957791549269/549755813888) (.f64 z (sin.f64 y)) (if (<=.f64 z -4201383856835971/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 (.f64 y z) x) (if (<=.f64 z 120959432915906938957626795632254063803978642800144953618195385810801393664) (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))))
(if (<=.f64 y -6859969443388599/2048) (.f64 (cos.f64 y) x) (if (<=.f64 y 3458381654637785/1152921504606846976) (+.f64 (.f64 y z) x) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 y z) x)
(if (<=.f64 z -5668647897976148637174494720833426274253345968223397796347254419943557135963326233668613473621108513046528) (.f64 y z) (if (<=.f64 z 138682292395064066267148520683434309213149794172956835168941206657580793099116260653157414414530974687826563160866816) x (.f64 y z)))
x

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(if (<=.f64 x -74223096393598408163662600712858085555805206216770477416660436463762269158263728526179377344699075101982720) (.f64 (cos.f64 y) x) (if (<=.f64 x -4411838439478304859327911890000199895467115026096927698583552) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x -8124829193307083/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (cos.f64 y) x) (if (<=.f64 x 315782120543704953389056) (fma.f64 (sin.f64 y) z x) (.f64 (cos.f64 y) x)))))
(if (<=.f64 x -74223096393598408163662600712858085555805206216770477416660436463762269158263728526179377344699075101982720) (.f64 x (cos.f64 y)) (if (<=.f64 x -4411838439478304859327911890000199895467115026096927698583552) (+.f64 x (.f64 (sin.f64 y) z)) (if (<=.f64 x -8124829193307083/6582018229284824168619876730229402019930943462534319453394436096) (.f64 x (cos.f64 y)) (if (<=.f64 x 315782120543704953389056) (fma.f64 (sin.f64 y) z x) (.f64 x (cos.f64 y))))))
(if (<=.f64 x -74223096393598408163662600712858085555805206216770477416660436463762269158263728526179377344699075101982720) (.f64 (cos.f64 y) x) (if (<=.f64 x -4411838439478304859327911890000199895467115026096927698583552) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x -8124829193307083/6582018229284824168619876730229402019930943462534319453394436096) (.f64 (cos.f64 y) x) (if (<=.f64 x 315782120543704953389056) (+.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 x -74223096393598408163662600712858085555805206216770477416660436463762269158263728526179377344699075101982720) (.f64 x (cos.f64 y)) (if (<=.f64 x -4411838439478304859327911890000199895467115026096927698583552) (+.f64 x (.f64 (sin.f64 y) z)) (if (<=.f64 x -8124829193307083/6582018229284824168619876730229402019930943462534319453394436096) (.f64 x (cos.f64 y)) (if (<=.f64 x 315782120543704953389056) (+.f64 x (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))))
(if (<=.f64 z -25736110648635675407841539353112717341766080682032115947692750593701677617006133028847616) (.f64 z (sin.f64 y)) (if (<=.f64 z -78504475808323859431731232768) (.f64 (cos.f64 y) x) (if (<=.f64 z -4636957791549269/549755813888) (.f64 z (sin.f64 y)) (if (<=.f64 z -4201383856835971/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 (.f64 y z) x) (if (<=.f64 z 120959432915906938957626795632254063803978642800144953618195385810801393664) (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))))
(if (<=.f64 z -25736110648635675407841539353112717341766080682032115947692750593701677617006133028847616) (.f64 (sin.f64 y) z) (if (<=.f64 z -78504475808323859431731232768) (.f64 x (cos.f64 y)) (if (<=.f64 z -4636957791549269/549755813888) (.f64 (sin.f64 y) z) (if (<=.f64 z -4201383856835971/55213970774324510299478046898216203619608871777363092441300193790394368) (+.f64 x (.f64 y z)) (if (<=.f64 z 120959432915906938957626795632254063803978642800144953618195385810801393664) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))))
(if (<=.f64 y -6859969443388599/2048) (.f64 (cos.f64 y) x) (if (<=.f64 y 3458381654637785/1152921504606846976) (+.f64 (.f64 y z) x) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -6859969443388599/2048) (.f64 x (cos.f64 y)) (if (<=.f64 y 3458381654637785/1152921504606846976) (+.f64 x (.f64 y z)) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 z -5668647897976148637174494720833426274253345968223397796347254419943557135963326233668613473621108513046528) (.f64 y z) (if (<=.f64 z 138682292395064066267148520683434309213149794172956835168941206657580793099116260653157414414530974687826563160866816) x (.f64 y z)))
x

Compiler

Compiled 210 to 111 computations (47.1% saved)

soundness0.0ms (0%)

end74.0ms (0.6%)

Compiler: Compiled 186 to 64 computations (65.6% saved)