Details

analyze377.0ms (3.1%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.0s (24.8%)

Results

1.4s	5221×	body	256	valid
1.1s	2020×	body	1024	valid
422.0ms	1012×	body	512	valid
2.0ms	3×	body	2048	valid

preprocess62.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

516×	`fma-def_binary64`
380×	`fma-neg_binary64`
132×	`cancel-sign-sub-inv_binary64`
69×	`sub-neg_binary64`
64×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	53	56
2	104	56
3	167	56
4	263	56
5	435	56
6	743	56
7	1136	56
8	1674	56
9	1919	56
10	1945	56
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)))
(-.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (neg.f64 (*.f64 z (sin.f64 x))))
(-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 y (neg.f64 (sin.f64 z))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

171×	`fma-def_binary64`
87×	`fma-neg_binary64`
37×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
20×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Stop Event

1×

saturated

Counts

1 → 1

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)))

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 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)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series13.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite188.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
391×	`fma-def_binary64`
382×	`exp-prod_binary64`
337×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	198	26
2	2660	26

Stop Event

1×	node limit

Counts

3 → 228

Calls

Call 1

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

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

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

simplify150.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

460×	`*-commutative_binary64`
439×	`distribute-rgt-neg-in_binary64`
403×	`distribute-lft-out_binary64`
372×	`sub-neg_binary64`
334×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	721
1	170	715
2	472	698
3	1510	693
4	2747	693
5	5573	693
6	7504	693

Stop Event

1×	node limit

Counts

292 → 254

Calls

Call 1

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

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

eval57.0ms (0.5%)

Compiler: Compiled 5144 to 1133 computations (78% saved)

prune113.0ms (0.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	235	19	254
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	235	20	255

Error

0.0b

Counts

255 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	33.3b	(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)) (*.f64 z (sin.f64 y)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	33.7b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
▶	34.4b	(-.f64 x (*.f64 y z))
	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	0.3b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
	34.9b	(-.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
	35.2b	(*.f64 (sin.f64 y) (neg.f64 z))
	15.9b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	28.9b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 2) (cbrt.f64 (.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	30.1b	(-.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 z (sin.f64 y)))))
▶	24.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
	29.4b	(/.f64 1 (/.f64 (fma.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))))
	35.7b	(-.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x 1/2)))))
▶	17.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	31.9b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	29.4b	(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))
▶	0.2b	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))

Compiler

Compiled 630 to 404 computations (35.9% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series50.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	y	@	inf	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
1.0ms	y	@	-inf	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
1.0ms	z	@	inf	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
1.0ms	y	@	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
1.0ms	z	@	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
719×	`add-log-exp_binary64`
718×	`log1p-expm1-u_binary64`
718×	`expm1-log1p-u_binary64`
702×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	179	12
2	2188	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 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)))))))))

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

830×	`distribute-rgt-neg-in_binary64`
717×	`distribute-lft-neg-in_binary64`
473×	`distribute-lft-out--_binary64`
444×	`cancel-sign-sub-inv_binary64`
341×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	487
1	79	458
2	198	458
3	509	454
4	1811	454
5	4429	454

Stop Event

1×	node limit

Counts

57 → 34

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	132	7
2	1860	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify144.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

101×	`fma-def_binary64`
56×	`fma-neg_binary64`
27×	`cancel-sign-sub-inv_binary64`
17×	`sub-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223

Stop Event

1×

saturated

Counts

73 → 42

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)

Outputs
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
898×	`add-log-exp_binary64`
898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	179	12
2	2444	12

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))

Outputs

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

751×	`distribute-rgt-neg-in_binary64`
648×	`distribute-lft-neg-in_binary64`
523×	`distribute-lft-out_binary64`
386×	`fma-def_binary64`
378×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	415
1	64	388
2	167	385
3	484	384
4	1759	383
5	4487	383

Stop Event

1×	node limit

Counts

85 → 61

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.2b	(*.f64 x (cos.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	7.7b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series11.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	48
1	6	48

Stop Event

1×

saturated

Counts

58 → 50

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 10 computations (74.4% saved)

series14.0ms (0.1%)

Counts

4 → 88

Calls

24 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
881×	`add-log-exp_binary64`
880×	`log1p-expm1-u_binary64`
880×	`expm1-log1p-u_binary64`
113×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	221	33
2	2729	33

Stop Event

1×	node limit

Counts

4 → 74

Calls

Call 1

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

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

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

692×	`distribute-rgt-neg-in_binary64`
575×	`fma-neg_binary64`
558×	`cancel-sign-sub-inv_binary64`
433×	`*-commutative_binary64`
390×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	1008
1	188	970
2	516	948
3	1654	943
4	3181	941
5	6959	941

Stop Event

1×	node limit

Counts

162 → 108

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
x
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))

Outputs
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (.f64 y z) (.f64 1/6 (*.f64 z (pow.f64 y 3))))
(.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (.f64 1/6 (.f64 z (pow.f64 y 3)))))
(-.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5)))) (.f64 y z))
(.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5))) y))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (.f64 z (pow.f64 y 7)) (fma.f64 -1 (.f64 y z) (fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (.f64 z (pow.f64 y 7)) (-.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)))
(.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5))) (-.f64 (*.f64 1/5040 (pow.f64 y 7)) y)))
(.f64 z (+.f64 (.f64 1/5040 (pow.f64 y 7)) (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y)))
(.f64 z (fma.f64 1/5040 (pow.f64 y 7) (-.f64 (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5))) y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
x
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/4 (.f64 x (.f64 y y)) x)
(.f64 (fma.f64 -1/4 (.f64 y y) 1) x)
(fma.f64 -1/4 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 y (.f64 y -1/4) 1))
(+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/96 (.f64 x (pow.f64 y 4)) (fma.f64 -1/4 (.f64 x (*.f64 y y)) x))
(fma.f64 -1/96 (.f64 x (pow.f64 y 4)) (.f64 (fma.f64 -1/4 (*.f64 y y) 1) x))
(.f64 x (fma.f64 -1/4 (.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(.f64 x (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/96 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -19/5760 (.f64 x (pow.f64 y 6)) (fma.f64 -1/96 (.f64 x (pow.f64 y 4)) (fma.f64 -1/4 (.f64 x (.f64 y y)) x)))
(+.f64 (.f64 (fma.f64 -1/4 (.f64 y y) 1) x) (.f64 x (fma.f64 -1/96 (pow.f64 y 4) (.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 x (.f64 x (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))))
(.f64 x (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1))))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(*.f64 (sqrt.f64 (cos.f64 y)) x)
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(fma.f64 -1/4 (.f64 y y) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (.f64 -19/5760 (pow.f64 y 6))))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/2 (.f64 x (*.f64 y y)) x))
(-.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 x) (*.f64 y z))
(-.f64 (fma.f64 (.f64 y y) (.f64 x -1/2) x) (*.f64 y z))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y -1/2)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 1/6 (.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 (.f64 y (.f64 y x)) -1/2 (fma.f64 (.f64 1/6 (pow.f64 y 3)) z x)) (.f64 y z))
(+.f64 (.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) (fma.f64 (.f64 y y) (*.f64 x -1/2) x))
(fma.f64 x (fma.f64 (.f64 y y) -1/2 1) (.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))

eval202.0ms (1.6%)

Compiler: Compiled 7173 to 2260 computations (68.5% saved)

prune284.0ms (2.3%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	435	19	454
Fresh	4	10	14
Picked	1	0	1
Done	2	3	5
Total	442	32	474

Error

0.0b

Counts

474 → 32

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	17.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (.f64 (sin.f64 y) (neg.f64 z)))
	18.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 (cos.f64 y)))) 3) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	36.0b	(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (fma.f64 (.f64 y y) 1/24 -1/2)) z)))
	17.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (.f64 (sin.f64 y) (neg.f64 z)))
	43.1b	(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 y))))
	29.4b	(/.f64 1 (/.f64 (fma.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))))
	0.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	35.7b	(-.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x 1/2)))))
	33.7b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
✓	34.4b	(-.f64 x (*.f64 y z))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	27.3b	(*.f64 (cos.f64 y) x)
▶	0.3b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
	42.6b	x
	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	24.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
	46.8b	(-.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 y z))
	34.4b	(fma.f64 z (neg.f64 y) x)
	31.9b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	45.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
▶	53.2b	(*.f64 y (neg.f64 z))
	30.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	35.2b	(*.f64 (sin.f64 y) (neg.f64 z))
	30.3b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (neg.f64 y)))
	36.5b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	0.2b	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
▶	30.1b	(-.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 z (sin.f64 y)))))
	46.6b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))
▶	0.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	29.4b	(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))

Compiler

Compiled 974 to 612 computations (37.2% saved)

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.1b	(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
	0.2b	(*.f64 x (cos.f64 y))
✓	52.0b	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 63 to 11 computations (82.5% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
630×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
616×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	161	28
2	2015	28

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))

Outputs

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

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-def_binary64`
524×	`distribute-rgt-in_binary64`
463×	`distribute-lft-in_binary64`
382×	`*-commutative_binary64`
322×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	460
1	232	268
2	722	265
3	4088	256
4	7256	256

Stop Event

1×	node limit

Counts

88 → 60

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (+.f64 (.f64 -1 z) z) y)
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (.f64 (+.f64 (*.f64 -1 z) z) y))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (.f64 -1 z) z) y)))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 -1/5040 z) (.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (*.f64 -1 z) z) y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(.f64 (+.f64 (.f64 -2 z) z) y)
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (.f64 (+.f64 (.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3)))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (.f64 1/3 z)) (pow.f64 y 3)) (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/60 z)) (pow.f64 y 5))))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (.f64 1/3 z)) (pow.f64 y 3)) (+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 1/2520 z) (.f64 -1/5040 z))) (.f64 (+.f64 (.f64 1/120 z) (*.f64 -1/60 z)) (pow.f64 y 5)))))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))

Outputs
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (.f64 (+.f64 (*.f64 -1 z) z) y))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (.f64 -1 z) z) y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 -1/5040 z) (.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (*.f64 -1 z) z) y))))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 z) z) y)
(*.f64 y (neg.f64 z))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (.f64 (+.f64 (.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3)))
(fma.f64 (neg.f64 z) y (.f64 (pow.f64 y 3) (.f64 z 1/6)))
(fma.f64 y (neg.f64 z) (.f64 z (.f64 1/6 (pow.f64 y 3))))
(.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 3) 1/6)))
(.f64 z (-.f64 (.f64 (pow.f64 y 3) 1/6) y))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (.f64 1/3 z)) (pow.f64 y 3)) (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/60 z)) (pow.f64 y 5))))
(fma.f64 (neg.f64 z) y (fma.f64 (.f64 z 1/6) (pow.f64 y 3) (.f64 (*.f64 z -1/120) (pow.f64 y 5))))
(fma.f64 y (neg.f64 z) (fma.f64 (pow.f64 y 3) (.f64 z 1/6) (.f64 -1/120 (*.f64 z (pow.f64 y 5)))))
(-.f64 (.f64 z (+.f64 (.f64 (pow.f64 y 3) 1/6) (.f64 -1/120 (pow.f64 y 5)))) (.f64 y z))
(.f64 z (-.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 (pow.f64 y 3) 1/6)) y))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (.f64 1/3 z)) (pow.f64 y 3)) (+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 1/2520 z) (.f64 -1/5040 z))) (.f64 (+.f64 (.f64 1/120 z) (*.f64 -1/60 z)) (pow.f64 y 5)))))
(fma.f64 (neg.f64 z) y (fma.f64 (.f64 z 1/6) (pow.f64 y 3) (fma.f64 (pow.f64 y 7) (.f64 z 1/5040) (.f64 (.f64 z -1/120) (pow.f64 y 5)))))
(fma.f64 y (neg.f64 z) (fma.f64 (pow.f64 y 3) (.f64 z 1/6) (fma.f64 (.f64 z -1/120) (pow.f64 y 5) (.f64 z (.f64 1/5040 (pow.f64 y 7))))))
(-.f64 (fma.f64 z (.f64 1/5040 (pow.f64 y 7)) (.f64 z (+.f64 (.f64 (pow.f64 y 3) 1/6) (.f64 -1/120 (pow.f64 y 5))))) (*.f64 y z))
(.f64 z (+.f64 (-.f64 (.f64 (pow.f64 y 3) 1/6) y) (+.f64 (.f64 1/5040 (pow.f64 y 7)) (.f64 -1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))

localize5.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 y x) (fma.f64 (*.f64 y y) 1/24 -1/2)) z)
✓	0.1b	(.f64 y (-.f64 (.f64 (.f64 y x) (fma.f64 (.f64 y y) 1/24 -1/2)) z))
✓	0.3b	(fma.f64 (*.f64 y y) 1/24 -1/2)
✓	1.2b	(.f64 (.f64 y x) (fma.f64 (*.f64 y y) 1/24 -1/2))

Compiler

Compiled 72 to 32 computations (55.6% saved)

series21.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(.f64 (.f64 y x) (fma.f64 (*.f64 y y) 1/24 -1/2))
1.0ms	x	@	0	(.f64 (.f64 y x) (fma.f64 (*.f64 y y) 1/24 -1/2))
1.0ms	y	@	0	(.f64 (.f64 y x) (fma.f64 (*.f64 y y) 1/24 -1/2))
1.0ms	y	@	inf	(.f64 (.f64 y x) (fma.f64 (*.f64 y y) 1/24 -1/2))
1.0ms	z	@	0	(.f64 y (-.f64 (.f64 (.f64 y x) (fma.f64 (.f64 y y) 1/24 -1/2)) z))

rewrite183.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
614×	`log-prod_binary64`
326×	`pow2_binary64`
318×	`fma-def_binary64`
228×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	255	59
2	3252	59

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

Inputs
(.f64 (.f64 y x) (fma.f64 (*.f64 y y) 1/24 -1/2))
(fma.f64 (*.f64 y y) 1/24 -1/2)
(.f64 y (-.f64 (.f64 (.f64 y x) (fma.f64 (.f64 y y) 1/24 -1/2)) z))
(-.f64 (.f64 (.f64 y x) (fma.f64 (*.f64 y y) 1/24 -1/2)) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (.f64 y 1/24)) (.f64 y x)) (.f64 -1/2 (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y x) (.f64 y (.f64 y 1/24))) (.f64 (.f64 y x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2)) (.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2)) (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2)) (.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2)) (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2)) (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y x) (.f64 y (.f64 y 1/24)) (.f64 (.f64 y x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (.f64 y 1/24)) (.f64 y x) (.f64 -1/2 (*.f64 y x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (.f64 y (.f64 y 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 y 1/24)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (.f64 y 1/24) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (.f64 y 1/24)) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (.f64 y 1/24) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y (.f64 y 1/24) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y (.f64 y 1/24) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y (.f64 y 1/24) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/24) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/24) -1/2)) 2) (cbrt.f64 (fma.f64 y (.f64 y 1/24) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y (.f64 y 1/24) -1/2)) (sqrt.f64 (fma.f64 y (.f64 y 1/24) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y (.f64 y 1/24)) 3) -1/8) (+.f64 (pow.f64 (.f64 y (.f64 y 1/24)) 2) (-.f64 1/4 (.f64 (.f64 y (.f64 y 1/24)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y (.f64 y 1/24)) 2) 1/4) (fma.f64 y (.f64 y 1/24) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (.f64 y 1/24) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (.f64 y 1/24) -1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (.f64 y 1/24) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/24) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (.f64 y 1/24) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/24) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (.f64 y 1/24) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (.f64 y 1/24) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/24) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (.f64 y 1/24) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (.f64 y 1/24) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (.f64 y 1/24) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 y 1/24) -1/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) y) (.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)))) (.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 3) (pow.f64 z 3)) y) (fma.f64 z (fma.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)) z) (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 2) (.f64 z z)) y) (fma.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 3) (pow.f64 z 3))) (fma.f64 z (fma.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)) z) (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 (pow.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) 2) (.f64 z z))) (fma.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) (.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) y (.f64 (neg.f64 z) y))))))
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(.f64 y 1/24) -1/2) (cbrt.f64 (pow.f64 (.f64 y x) 2))) (cbrt.f64 (.f64 y x)) (.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 y (.f64 y 1/24) -1/2) (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 y (.f64 y 1/24) -1/2) (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 (neg.f64 z) 1))))))

simplify163.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

612×	`distribute-rgt-out_binary64`
550×	`distribute-rgt-neg-in_binary64`
485×	`distribute-lft-neg-in_binary64`
447×	`associate-l_binary64`
432×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	1912
1	109	1683
2	268	1553
3	694	1550
4	2408	1550
5	6134	1550

Stop Event

1×	node limit

Counts

311 → 236

Calls

Call 1

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

Outputs
(.f64 -1/2 (.f64 y x))
(.f64 x (.f64 -1/2 y))
(.f64 y (.f64 -1/2 x))
(+.f64 (.f64 -1/2 (.f64 y x)) (.f64 1/24 (.f64 (pow.f64 y 3) x)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(+.f64 (.f64 -1/2 (.f64 y x)) (.f64 1/24 (.f64 (pow.f64 y 3) x)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(+.f64 (.f64 -1/2 (.f64 y x)) (.f64 1/24 (.f64 (pow.f64 y 3) x)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 1/24 (.f64 (pow.f64 y 3) x))
(.f64 1/24 (.f64 x (pow.f64 y 3)))
(.f64 x (.f64 1/24 (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 x 1/24))
(+.f64 (.f64 -1/2 (.f64 y x)) (.f64 1/24 (.f64 (pow.f64 y 3) x)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(+.f64 (.f64 -1/2 (.f64 y x)) (.f64 1/24 (.f64 (pow.f64 y 3) x)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(+.f64 (.f64 -1/2 (.f64 y x)) (.f64 1/24 (.f64 (pow.f64 y 3) x)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 1/24 (.f64 (pow.f64 y 3) x))
(.f64 1/24 (.f64 x (pow.f64 y 3)))
(.f64 x (.f64 1/24 (pow.f64 y 3)))
(.f64 (pow.f64 y 3) (.f64 x 1/24))
(+.f64 (.f64 -1/2 (.f64 y x)) (.f64 1/24 (.f64 (pow.f64 y 3) x)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(+.f64 (.f64 -1/2 (.f64 y x)) (.f64 1/24 (.f64 (pow.f64 y 3) x)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(+.f64 (.f64 -1/2 (.f64 y x)) (.f64 1/24 (.f64 (pow.f64 y 3) x)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
-1/2
(-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)
(fma.f64 1/24 (*.f64 y y) -1/2)
(fma.f64 y (*.f64 y 1/24) -1/2)
(-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)
(fma.f64 1/24 (*.f64 y y) -1/2)
(fma.f64 y (*.f64 y 1/24) -1/2)
(-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)
(fma.f64 1/24 (*.f64 y y) -1/2)
(fma.f64 y (*.f64 y 1/24) -1/2)
(*.f64 1/24 (pow.f64 y 2))
(.f64 1/24 (.f64 y y))
(.f64 y (.f64 y 1/24))
(-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)
(fma.f64 1/24 (*.f64 y y) -1/2)
(fma.f64 y (*.f64 y 1/24) -1/2)
(-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)
(fma.f64 1/24 (*.f64 y y) -1/2)
(fma.f64 y (*.f64 y 1/24) -1/2)
(-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)
(fma.f64 1/24 (*.f64 y y) -1/2)
(fma.f64 y (*.f64 y 1/24) -1/2)
(*.f64 1/24 (pow.f64 y 2))
(.f64 1/24 (.f64 y y))
(.f64 y (.f64 y 1/24))
(-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)
(fma.f64 1/24 (*.f64 y y) -1/2)
(fma.f64 y (*.f64 y 1/24) -1/2)
(-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)
(fma.f64 1/24 (*.f64 y y) -1/2)
(fma.f64 y (*.f64 y 1/24) -1/2)
(-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)
(fma.f64 1/24 (*.f64 y y) -1/2)
(fma.f64 y (*.f64 y 1/24) -1/2)
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 -1 (.f64 y z) (.f64 -1/2 (.f64 x (.f64 y y))))
(-.f64 (.f64 -1/2 (.f64 y (.f64 y x))) (.f64 y z))
(-.f64 (.f64 y (.f64 x (.f64 -1/2 y))) (.f64 y z))
(.f64 y (-.f64 (.f64 y (*.f64 -1/2 x)) z))
(.f64 y (fma.f64 -1/2 (.f64 y x) (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (.f64 -1/2 (.f64 (pow.f64 y 2) x))))
(fma.f64 -1 (.f64 y z) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (.f64 -1/2 (.f64 x (*.f64 y y)))))
(-.f64 (.f64 x (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 1/24 (pow.f64 y 4)))) (*.f64 y z))
(.f64 y (-.f64 (.f64 x (.f64 y (fma.f64 y (.f64 y 1/24) -1/2))) z))
(.f64 y (-.f64 (.f64 x (.f64 y (fma.f64 1/24 (.f64 y y) -1/2))) z))
(.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (.f64 -1/2 (.f64 (pow.f64 y 2) x))))
(fma.f64 -1 (.f64 y z) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (.f64 -1/2 (.f64 x (*.f64 y y)))))
(-.f64 (.f64 x (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 1/24 (pow.f64 y 4)))) (*.f64 y z))
(.f64 y (-.f64 (.f64 x (.f64 y (fma.f64 y (.f64 y 1/24) -1/2))) z))
(.f64 y (-.f64 (.f64 x (.f64 y (fma.f64 1/24 (.f64 y y) -1/2))) z))
(.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))
(.f64 1/24 (.f64 (pow.f64 y 4) x))
(.f64 1/24 (.f64 x (pow.f64 y 4)))
(.f64 x (.f64 1/24 (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 x 1/24))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (.f64 -1/2 (.f64 x (.f64 y y))))
(.f64 x (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 1/24 (pow.f64 y 4))))
(.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(.f64 y (.f64 x (.f64 y (fma.f64 1/24 (.f64 y y) -1/2))))
(.f64 x (.f64 y (.f64 y (fma.f64 y (.f64 y 1/24) -1/2))))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (.f64 -1/2 (.f64 (pow.f64 y 2) x))))
(fma.f64 -1 (.f64 y z) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (.f64 -1/2 (.f64 x (*.f64 y y)))))
(-.f64 (.f64 x (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 1/24 (pow.f64 y 4)))) (*.f64 y z))
(.f64 y (-.f64 (.f64 x (.f64 y (fma.f64 y (.f64 y 1/24) -1/2))) z))
(.f64 y (-.f64 (.f64 x (.f64 y (fma.f64 1/24 (.f64 y y) -1/2))) z))
(.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (.f64 -1/2 (.f64 (pow.f64 y 2) x))))
(fma.f64 -1 (.f64 y z) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (.f64 -1/2 (.f64 x (*.f64 y y)))))
(-.f64 (.f64 x (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 1/24 (pow.f64 y 4)))) (*.f64 y z))
(.f64 y (-.f64 (.f64 x (.f64 y (fma.f64 y (.f64 y 1/24) -1/2))) z))
(.f64 y (-.f64 (.f64 x (.f64 y (fma.f64 1/24 (.f64 y y) -1/2))) z))
(.f64 y (-.f64 (.f64 y (.f64 x (fma.f64 y (.f64 y 1/24) -1/2))) z))
(.f64 1/24 (.f64 (pow.f64 y 4) x))
(.f64 1/24 (.f64 x (pow.f64 y 4)))
(.f64 x (.f64 1/24 (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 x 1/24))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (.f64 -1/2 (.f64 (pow.f64 y 2) x)))
(fma.f64 1/24 (.f64 x (pow.f64 y 4)) (.f64 -1/2 (.f64 x (.f64 y y))))
(.f64 x (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 1/24 (pow.f64 y 4))))
(.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(.f64 y (.f64 x (.f64 y (fma.f64 1/24 (.f64 y y) -1/2))))
(.f64 x (.f64 y (.f64 y (fma.f64 y (.f64 y 1/24) -1/2))))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (.f64 -1/2 (.f64 (pow.f64 y 2) x))))
(fma.f64 -1 (.f64 y z) (fma.f64 1/24 (.f64 x (pow.f64 y 4)) (.f64 -1/2 (.f64 x (*.f64 y y)))))
(-.f64 (.f64 x (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 1/24 (pow.f64 y 4)))) (*.f64 y z))
(.f64 y (-.f64 (.f64 x (.f64 y (fma.f64 y (.f64 y 1/24) -1/2))) z))
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(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 x (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2))))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 x (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2))))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 x (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2))))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(+.f64 (.f64 -1 z) (.f64 y (.f64 x (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2))))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 x (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2))))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 x (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2))))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(.f64 y (.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2)))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(+.f64 (.f64 -1 z) (.f64 y (.f64 x (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2))))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 x (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2))))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 x (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2))))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(.f64 y (.f64 (-.f64 (*.f64 1/24 (pow.f64 y 2)) 1/2) x))
(fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3))))
(.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2)))
(.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2)))
(.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2)))
(+.f64 (.f64 -1 z) (.f64 y (.f64 (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2) x)))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2) x)))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2) x)))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2) x)))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2) x)))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2) x)))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2) x)))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2) x)))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(+.f64 (.f64 -1 z) (.f64 y (.f64 (-.f64 (.f64 1/24 (pow.f64 y 2)) 1/2) x)))
(fma.f64 -1 z (fma.f64 -1/2 (.f64 y x) (.f64 1/24 (*.f64 x (pow.f64 y 3)))))
(-.f64 (.f64 y (.f64 x (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 y (*.f64 y 1/24) -1/2))) z)
(-.f64 (.f64 x (.f64 y (fma.f64 1/24 (*.f64 y y) -1/2))) z)
(-.f64 (.f64 y (.f64 x (fma.f64 y (*.f64 y 1/24) -1/2))) z)

localize71.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.2b	(*.f64 x (cos.f64 y))
✓	2.4b	(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
✓	7.8b	(log.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 40 to 10 computations (75% saved)

series202.0ms (1.6%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
105.0ms	z	@	0	(log.f64 (*.f64 z (sin.f64 y)))
53.0ms	y	@	-inf	(log.f64 (*.f64 z (sin.f64 y)))
18.0ms	y	@	inf	(log.f64 (*.f64 z (sin.f64 y)))
14.0ms	z	@	-inf	(log.f64 (*.f64 z (sin.f64 y)))
8.0ms	z	@	inf	(log.f64 (*.f64 z (sin.f64 y)))

rewrite171.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`pow1_binary64`
520×	`add-sqr-sqrt_binary64`
500×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
500×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	122	14
2	1355	14

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(log.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))

Outputs

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

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

679×	`cancel-sign-sub-inv_binary64`
564×	`associate-l_binary64`
506×	`unswap-sqr_binary64`
498×	`fma-neg_binary64`
436×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	394
1	160	387
2	393	376
3	1282	376
4	3749	376

Stop Event

1×	node limit

Counts

91 → 68

Calls

Call 1

Inputs
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y)))
(+.f64 (log.f64 z) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4)))))
(+.f64 (log.f64 z) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4))))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))

Outputs
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y)))
(+.f64 (log.f64 z) (fma.f64 -1/6 (*.f64 y y) (log.f64 y)))
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y -1/6) (log.f64 y)))
(+.f64 (log.f64 y) (fma.f64 y (*.f64 y -1/6) (log.f64 z)))
(+.f64 (log.f64 z) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4)))))
(+.f64 (log.f64 z) (+.f64 (fma.f64 -1/6 (.f64 y y) (log.f64 y)) (.f64 -1/180 (pow.f64 y 4))))
(+.f64 (log.f64 z) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y))))
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y))))
(+.f64 (log.f64 y) (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 z))))
(+.f64 (log.f64 z) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4))))))
(+.f64 (log.f64 z) (fma.f64 -1/6 (.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4))))))
(+.f64 (log.f64 z) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y)))))
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (fma.f64 -1/2835 (pow.f64 y 6) (log.f64 y)))))
(+.f64 (fma.f64 -1/180 (pow.f64 y 4) (fma.f64 -1/2835 (pow.f64 y 6) (log.f64 y))) (fma.f64 y (*.f64 y -1/6) (log.f64 z)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z y))
(.f64 z (+.f64 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 (fma.f64 -1/6 (pow.f64 y 3) y) (.f64 1/120 (pow.f64 y 5))))
(.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 z y (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 -1/5040 (pow.f64 y 7) (.f64 1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 z (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
✓	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 53 to 22 computations (58.5% saved)

series23.0ms (0.2%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
4.0ms	y	@	inf	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
2.0ms	z	@	0	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
1.0ms	y	@	inf	(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
1.0ms	y	@	0	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
705×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	181	26
2	2011	26

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

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

simplify159.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1174×	`unswap-sqr_binary64`
654×	`distribute-lft-out_binary64`
616×	`associate-+l+_binary64`
611×	`*-commutative_binary64`
522×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	410
1	136	407
2	402	366
3	1407	352
4	2405	352
5	3254	352
6	3391	352
7	3558	352
8	3685	352
9	3836	352
10	5072	352
11	6875	352
12	7225	352
13	7611	352

Stop Event

1×	node limit

Counts

98 → 81

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

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

eval329.0ms (2.7%)

Compiler: Compiled 12563 to 5622 computations (55.2% saved)

prune272.0ms (2.2%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	590	5	595
Fresh	2	22	24
Picked	1	0	1
Done	3	4	7
Total	596	31	627

Error

0.0b

Counts

627 → 31

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	17.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (.f64 (sin.f64 y) (neg.f64 z)))
	17.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (.f64 (sin.f64 y) (neg.f64 z)))
	43.1b	(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 y))))
▶	37.6b	(-.f64 x (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
▶	35.7b	(-.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x 1/2)))))
	33.7b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
✓	34.4b	(-.f64 x (*.f64 y z))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	36.0b	(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (+.f64 (.f64 y (*.f64 y 1/24)) -1/2)) z)))
	27.3b	(*.f64 (cos.f64 y) x)
▶	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	42.6b	x
	24.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
	46.8b	(-.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 y z))
	34.4b	(fma.f64 z (neg.f64 y) x)
	31.9b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	15.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z)))
	45.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
✓	53.2b	(*.f64 y (neg.f64 z))
	30.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	35.2b	(*.f64 (sin.f64 y) (neg.f64 z))
	30.3b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (neg.f64 y)))
	36.5b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
▶	16.0b	(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
✓	0.2b	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	18.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 (cos.f64 y)))) 3) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	29.4b	(/.f64 1 (/.f64 (fma.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))))
	46.6b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))
	29.4b	(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 2)) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))

Compiler

Compiled 919 to 577 computations (37.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 18 computations (64.7% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	181	14
2	2013	14

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify206.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	356
1	130	353
2	424	324
3	1493	316
4	2293	316
5	2937	316
6	5130	316
7	5498	316
8	5601	316
9	5732	316
10	5919	316
11	6188	316
12	6569	316
13	7279	316

Stop Event

1×	node limit

Counts

63 → 46

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x 1/2)))))
✓	0.0b	(.f64 y (.f64 x 1/2))
✓	0.0b	(+.f64 z (.f64 y (.f64 x 1/2)))
✓	0.1b	(.f64 y (+.f64 z (.f64 y (*.f64 x 1/2))))

Compiler

Compiled 42 to 24 computations (42.9% saved)

series113.0ms (0.9%)

Counts

4 → 132

Calls

33 calls:

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

rewrite107.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log-prod_binary64`
500×	`fma-def_binary64`
479×	`pow-prod-down_binary64`
317×	`pow2_binary64`
220×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	231	40
2	3504	40

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y z) (.f64 y (.f64 y (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 y (.f64 x 1/2))) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (fma.f64 y (.f64 x 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) 1) (.f64 (.f64 y (.f64 y (.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 y (.f64 x 1/2) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 y (.f64 x 1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 y (.f64 x 1/2) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 y (.f64 x 1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y (.f64 y (.f64 x 1/2))) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (pow.f64 (.f64 y (.f64 y (.f64 x 1/2))) 2) (.f64 (.f64 y z) (.f64 y (.f64 y (.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y (.f64 y (.f64 x 1/2))) 2)) (-.f64 (.f64 y z) (.f64 y (.f64 y (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) 3) 1/8 (pow.f64 z 3)) y) (fma.f64 z z (.f64 (.f64 y (.f64 x 1/2)) (fma.f64 y (.f64 x 1/2) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 z z) (.f64 (pow.f64 (.f64 y x) 2) 1/4)) y) (-.f64 z (.f64 y (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) 3) 1/8 (pow.f64 z 3))) (fma.f64 z z (.f64 (.f64 y (.f64 x 1/2)) (fma.f64 y (.f64 x 1/2) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 (.f64 z z) (.f64 (pow.f64 (.f64 y x) 2) 1/4))) (-.f64 z (.f64 y (.f64 x 1/2))))))) (#(struct:change 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(.f64 y (fma.f64 y (.f64 x 1/2) z))) 2) (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y (neg.f64 (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 y (neg.f64 (fma.f64 y (.f64 x 1/2) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)) (fma.f64 y (fma.f64 y (.f64 x 1/2) z) x)))) (fma.f64 (neg.f64 y) (fma.f64 y (.f64 x 1/2) z) (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)) (fma.f64 y (fma.f64 y (.f64 x 1/2) z) x)))) (fma.f64 (.f64 y (neg.f64 (fma.f64 y (.f64 x 1/2) z))) 1 (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)) (fma.f64 y (fma.f64 y (.f64 x 1/2) z) x)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z))) 2) (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)) 2)) (/.f64 1 (fma.f64 y (fma.f64 y (.f64 x 1/2) z) x)) (fma.f64 (neg.f64 y) (fma.f64 y (.f64 x 1/2) z) (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)) 2)) (/.f64 1 (fma.f64 y (fma.f64 y (.f64 x 1/2) z) x)) (fma.f64 (.f64 y (neg.f64 (fma.f64 y (.f64 x 1/2) z))) 1 (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)) 2)) (/.f64 1 (fma.f64 y (fma.f64 y (.f64 x 1/2) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z))) 2) (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (fma.f64 y (.f64 x 1/2) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 (fma.f64 y (.f64 x 1/2) z)))) 2) (cbrt.f64 (.f64 y (neg.f64 (fma.f64 y (.f64 x 1/2) z)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y (neg.f64 (fma.f64 y (.f64 x 1/2) z)))) (sqrt.f64 (.f64 y (neg.f64 (fma.f64 y (.f64 x 1/2) z)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (fma.f64 y (.f64 x 1/2) z)) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (sqrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 y (fma.f64 y (.f64 x 1/2) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (fma.f64 (neg.f64 y) (fma.f64 y (.f64 x 1/2) z) (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (fma.f64 (.f64 y (neg.f64 (fma.f64 y (.f64 x 1/2) z))) 1 (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z)))) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z))) 2) (.f64 y (fma.f64 y (.f64 x 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z))) 2)) (cbrt.f64 (.f64 y (fma.f64 y (.f64 x 1/2) z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 y) 1) (fma.f64 y (.f64 x 1/2) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 y) (cbrt.f64 (pow.f64 (fma.f64 y (.f64 x 1/2) z) 2))) (cbrt.f64 (fma.f64 y (.f64 x 1/2) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 y) (sqrt.f64 (fma.f64 y (.f64 x 1/2) z))) (sqrt.f64 (fma.f64 y (*.f64 x 1/2) z)) x)))))

simplify196.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1385×	`fma-neg_binary64`
556×	`cancel-sign-sub-inv_binary64`
367×	`distribute-rgt-neg-in_binary64`
281×	`distribute-lft-neg-in_binary64`
268×	`unswap-sqr_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	33	1431
1	82	1376
2	182	1376
3	481	1217
4	1618	1217
5	3506	1217
6	4723	1217
7	5484	1217
8	5796	1217
9	5998	1215
10	6436	1167

Stop Event

1×	node limit

Counts

366 → 259

Calls

Call 1

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

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

localize68.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	2.4b	(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
	7.8b	(log.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
	0.2b	(*.f64 x (cos.f64 y))
✓	0.5b	(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)

series74.0ms (0.6%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
46.0ms	y	@	inf	(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	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
4.0ms	z	@	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)

rewrite176.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
449×	`fma-def_binary64`
389×	`pow-prod-down_binary64`
309×	`pow2_binary64`
214×	`pow-to-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	265	30
2	3146	30

Stop Event

1×	node limit

Counts

2 → 237

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

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

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

849×	`distribute-rgt-in_binary64`
557×	`times-frac_binary64`
513×	`associate-r_binary64`
405×	`associate-l_binary64`
345×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	3866
1	1127	3432
2	4521	3376

Stop Event

1×	node limit

Counts

277 → 289

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	0.1b	(*.f64 z (sin.f64 y))
	0.1b	(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
	52.0b	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 54 to 9 computations (83.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log-prod_binary64`
364×	`exp-prod_binary64`
338×	`pow-prod-down_binary64`
300×	`fma-def_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	211	20
2	2868	16

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

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

Outputs

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

520×	`distribute-rgt-in_binary64`
488×	`distribute-lft-in_binary64`
410×	`unsub-neg_binary64`
399×	`distribute-neg-in_binary64`
330×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	397
1	135	313
2	314	313
3	1478	313
4	5130	310
5	6364	310
6	7949	310

Stop Event

1×	node limit

Counts

107 → 87

Calls

Call 1

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

Outputs
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z)) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z)) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z)) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) x)
(fma.f64 (*.f64 -1 z) y x)
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 z y))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3)) x))
(fma.f64 (.f64 -1 z) y (fma.f64 (.f64 z 1/6) (pow.f64 y 3) x))
(fma.f64 y (neg.f64 z) (fma.f64 (*.f64 z 1/6) (pow.f64 y 3) x))
(fma.f64 z (*.f64 (pow.f64 y 3) 1/6) (fma.f64 y (neg.f64 z) x))
(-.f64 (fma.f64 z (.f64 (pow.f64 y 3) 1/6) x) (.f64 z y))
(+.f64 x (.f64 z (-.f64 (.f64 (pow.f64 y 3) 1/6) y)))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (.f64 1/3 z)) (pow.f64 y 3)) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/60 z)) (pow.f64 y 5)) x)))
(fma.f64 (.f64 -1 z) y (fma.f64 (.f64 z 1/6) (pow.f64 y 3) (fma.f64 (*.f64 z -1/120) (pow.f64 y 5) x)))
(fma.f64 y (neg.f64 z) (fma.f64 (.f64 z 1/6) (pow.f64 y 3) (fma.f64 (.f64 z -1/120) (pow.f64 y 5) x)))
(fma.f64 (.f64 z 1/6) (pow.f64 y 3) (fma.f64 y (neg.f64 z) (fma.f64 (.f64 z (pow.f64 y 5)) -1/120 x)))
(-.f64 (fma.f64 z (.f64 (pow.f64 y 5) -1/120) (fma.f64 z (.f64 (pow.f64 y 3) 1/6) x)) (*.f64 z y))
(+.f64 x (.f64 z (-.f64 (+.f64 (.f64 (pow.f64 y 5) -1/120) (*.f64 (pow.f64 y 3) 1/6)) y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (+.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)

eval520.0ms (4.2%)

Compiler: Compiled 23223 to 10358 computations (55.4% saved)

prune191.0ms (1.6%)

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	979	15	994
Fresh	8	14	22
Picked	0	1	1
Done	1	7	8
Total	988	37	1025

Error

0.0b

Counts

1025 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	16.7b	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	35.7b	(-.f64 x (+.f64 (.f64 y (.f64 y (.f64 x 1/2))) (.f64 y z)))
	17.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (.f64 (sin.f64 y) (neg.f64 z)))
	27.9b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
	17.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (.f64 (sin.f64 y) (neg.f64 z)))
	43.1b	(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 y))))
✓	37.6b	(-.f64 x (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
✓	35.7b	(-.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x 1/2)))))
	44.5b	(-.f64 x (.f64 y (.f64 y (*.f64 1/2 x))))
	33.7b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	42.6b	x
✓	34.4b	(-.f64 x (*.f64 y z))
	36.0b	(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (+.f64 (.f64 y (*.f64 y 1/24)) -1/2)) z)))
	27.3b	(*.f64 (cos.f64 y) x)
✓	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	46.8b	(-.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 y z))
	34.4b	(fma.f64 z (neg.f64 y) x)
	16.4b	(-.f64 x (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	46.6b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))
	15.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z)))
	38.9b	(-.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	45.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 y z))
✓	53.2b	(*.f64 y (neg.f64 z))
	31.9b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	35.2b	(*.f64 (sin.f64 y) (neg.f64 z))
	30.3b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 z (neg.f64 y)))
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	29.4b	(/.f64 1 (/.f64 (fma.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))))
✓	16.0b	(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
	36.5b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	0.2b	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	18.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 (cos.f64 y)))) 3) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	16.4b	(-.f64 x (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y))))
	16.4b	(-.f64 x (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z)))
	43.6b	(fma.f64 y z x)
	2.4b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 3) 3)

Compiler

Compiled 539 to 347 computations (35.6% saved)

regimes422.0ms (3.4%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

5 calls:

214.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
64.0ms	z
52.0ms	x
37.0ms	y
33.0ms	(-.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 776 to 251 computations (67.7% saved)

regimes122.0ms (1%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	z
32.0ms	y
15.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
13.0ms	x

Results

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

Compiler

Compiled 207 to 93 computations (55.1% saved)

regimes262.0ms (2.1%)

Counts

16 → 3

Calls

Call 1

Inputs
x
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (.f64 y (.f64 y (*.f64 1/2 x))))
(-.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x 1/2)))))
(-.f64 x (+.f64 (.f64 y (.f64 y (.f64 x 1/2))) (.f64 y z)))
(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (+.f64 (.f64 y (*.f64 y 1/24)) -1/2)) z)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))
(fma.f64 y z x)
(*.f64 (cos.f64 y) x)
(fma.f64 z (neg.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (fma.f64 (.f64 y y) 1/24 -1/2)) z)))

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

Calls

3 calls:

141.0ms	y
64.0ms	x
53.0ms	z

Results

Error	Segments	Branch
7.7b	3	`x`
12.7b	4	`y`
7.2b	3	`z`

Compiler

Compiled 144 to 68 computations (52.8% saved)

bsearch300.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
111.0ms	5.292818673244666e-80	1.1835807388680886e-79
189.0ms	-7.88034839969052e-64	-4.739800067479596e-80

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes482.0ms (3.9%)

Counts

13 → 3

Calls

Call 1

Inputs
x
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (.f64 y (.f64 y (*.f64 1/2 x))))
(-.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x 1/2)))))
(-.f64 x (+.f64 (.f64 y (.f64 y (.f64 x 1/2))) (.f64 y z)))
(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (+.f64 (.f64 y (*.f64 y 1/24)) -1/2)) z)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))
(fma.f64 y z x)
(*.f64 (cos.f64 y) x)
(fma.f64 z (neg.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))

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

Calls

3 calls:

233.0ms	x
197.0ms	y
48.0ms	z

Results

Error	Segments	Branch
12.7b	7	`x`
12.2b	6	`y`
11.6b	3	`z`

Compiler

Compiled 114 to 56 computations (50.9% saved)

bsearch318.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
238.0ms	0.028765265512643932	762351746.7453189
80.0ms	-63029842523137.54	-28413822728618.887

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes147.0ms (1.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	x
45.0ms	z
20.0ms	y

Results

Error	Segments	Branch
22.7b	3	`x`
18.3b	3	`y`
21.8b	3	`z`

Compiler

Compiled 109 to 54 computations (50.5% saved)

bsearch111.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	0.019996371671775804	395295953260.9811
39.0ms	-70850467754341360.0	-1424048877.4773834

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes80.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

Inputs
x
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (.f64 y (.f64 y (*.f64 1/2 x))))
(-.f64 x (.f64 y (+.f64 z (.f64 y (*.f64 x 1/2)))))
(-.f64 x (+.f64 (.f64 y (.f64 y (.f64 x 1/2))) (.f64 y z)))
(+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (+.f64 (.f64 y (*.f64 y 1/24)) -1/2)) z)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 y)) (.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))
(fma.f64 y z x)

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

Calls

3 calls:

10.0ms	x
7.0ms	z
6.0ms	y

Results

Error	Segments	Branch
34.4b	1	`x`
34.4b	1	`y`
34.4b	1	`z`

Compiler

Compiled 100 to 51 computations (49% saved)

regimes36.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
9.0ms	y
9.0ms	z

Results

Error	Segments	Branch
38.8b	5	`x`
41.2b	3	`y`
37.9b	3	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch299.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	2.89470786255451e+41	1.8672594015727025e+42
240.0ms	-63029842523137.54	-28413822728618.887

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

3 calls:

18.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
42.6b	1	`x`
42.6b	1	`y`
42.6b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
11×	`+-commutative_binary64`
9×	`sub-neg_binary64`
5×	`cancel-sign-sub-inv_binary64`
5×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	180
1	84	180
2	102	180
3	111	180
4	116	180
5	117	180

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -2919942416377941/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 113053920695307184/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -8067819842961605/128) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 530625491124046208/18446744073709551616) (.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -70850467754341360) (.f64 (cos.f64 y) x) (if (<=.f64 y 368867950632023872/18446744073709551616) (+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (+.f64 (.f64 y (.f64 y 1/24)) -1/2)) z))) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -8067819842961605/128) (.f64 y (neg.f64 z)) (if (<=.f64 z 289470786255450992284559745789292808503296) x (.f64 y (neg.f64 z))))
x

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 z -2919942416377941/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 113053920695307184/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -2919942416377941/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (-.f64 x (.f64 (sin.f64 y) z)) (if (<=.f64 z 7065870043456699/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (.f64 x (cos.f64 y)) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 z -8067819842961605/128) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 530625491124046208/18446744073709551616) (.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 z -8067819842961605/128) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 4145511649406611/144115188075855872) (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -70850467754341360) (.f64 (cos.f64 y) x) (if (<=.f64 y 368867950632023872/18446744073709551616) (+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (+.f64 (.f64 y (.f64 y 1/24)) -1/2)) z))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -70850467754341360) (.f64 x (cos.f64 y)) (if (<=.f64 y 5763561728625373/288230376151711744) (+.f64 x (.f64 y (-.f64 (.f64 (.f64 y x) (+.f64 (.f64 y (.f64 y 1/24)) -1/2)) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -8067819842961605/128) (.f64 y (neg.f64 z)) (if (<=.f64 z 289470786255450992284559745789292808503296) x (.f64 y (neg.f64 z))))
x

Compiler

Compiled 144 to 84 computations (41.7% saved)

soundness0.0ms (0%)

end60.0ms (0.5%)

Compiler: Compiled 123 to 49 computations (60.2% saved)

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223