Details

analyze462.0ms (3.6%)

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)

sample4.1s (32.1%)

Results

2.4s	5160×	body	256	valid
1.3s	2052×	body	1024	valid
479.0ms	1036×	body	512	valid
6.0ms	8×	body	2048	valid

preprocess96.0ms (0.7%)

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)

simplify54.0ms (0.4%)

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

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series25.0ms (0.2%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
13.0ms	z	@	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	z	@	0	(*.f64 z (sin.f64 y))
1.0ms	x	@	-inf	(*.f64 x (cos.f64 y))
1.0ms	y	@	0	(*.f64 z (sin.f64 y))
1.0ms	x	@	0	(*.f64 x (cos.f64 y))

rewrite154.0ms (1.2%)

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

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

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

460×	`*-commutative_binary64`
430×	`distribute-rgt-neg-in_binary64`
403×	`distribute-lft-out_binary64`
374×	`sub-neg_binary64`
328×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	721
1	170	715
2	472	698
3	1512	693
4	2746	693
5	5554	693
6	7478	693

Stop Event

1×	node limit

Counts

292 → 253

Calls

Call 1

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

eval225.0ms (1.7%)

Compiler: Compiled 5135 to 1132 computations (78% saved)

prune152.0ms (1.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	236	17	253
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	236	18	254

Error

0.0b

Counts

254 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
	29.3b	(/.f64 1 (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
	0.2b	(+.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)))))
▶	1.4b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	15.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	23.4b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
▶	14.6b	(-.f64 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)))
	31.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	32.3b	(fma.f64 z (neg.f64 y) x)
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	32.3b	(+.f64 (.f64 -1 (.f64 y z)) x)
	29.1b	(-.f64 (.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2))
	37.4b	(*.f64 (sin.f64 y) (neg.f64 z))
	30.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	16.4b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	28.1b	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (*.f64 x (cos.f64 y)))
	33.8b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))

Compiler

Compiled 516 to 330 computations (36% saved)

localize39.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 8 computations (69.2% saved)

series54.0ms (0.4%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
41.0ms	z	@	inf	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
3.0ms	x	@	-inf	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
1.0ms	y	@	0	(*.f64 (sin.f64 y) (neg.f64 z))
1.0ms	y	@	inf	(*.f64 (sin.f64 y) (neg.f64 z))
1.0ms	y	@	-inf	(*.f64 (sin.f64 y) (neg.f64 z))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

789×	`pow1_binary64`
720×	`add-log-exp_binary64`
719×	`log1p-expm1-u_binary64`
719×	`expm1-log1p-u_binary64`
703×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	181	18
2	2253	18

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-def_binary64`
900×	`cancel-sign-sub-inv_binary64`
462×	`distribute-rgt-neg-in_binary64`
439×	`unswap-sqr_binary64`
415×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	734
1	121	699
2	331	685
3	965	680
4	3449	680
5	7193	680

Stop Event

1×	node limit

Counts

97 → 58

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series8.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	167	7
2	2276	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-def_binary64`
9×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	34
1	12	34
2	25	34
3	29	34
4	33	34
5	51	34
6	73	34
7	84	34
8	96	34
9	121	34

Stop Event

1×

saturated

Counts

46 → 40

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series5.0ms (0%)

Counts

1 → 28

Calls

9 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
770×	`add-log-exp_binary64`
770×	`log1p-expm1-u_binary64`
770×	`expm1-log1p-u_binary64`
753×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	151	9
2	2084	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

825×	`distribute-rgt-neg-in_binary64`
809×	`fma-def_binary64`
703×	`distribute-lft-neg-in_binary64`
596×	`unswap-sqr_binary64`
549×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	262
1	74	241
2	196	236
3	502	233
4	1500	232
5	4261	232
6	6535	232

Stop Event

1×	node limit

Counts

65 → 48

Calls

Call 1

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series92.0ms (0.7%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
12.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
11.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
9.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
5.0ms	y	@	inf	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)

rewrite125.0ms (1%)

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

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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))))))

simplify159.0ms (1.2%)

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 15 computations (65.9% saved)

series18.0ms (0.1%)

Counts

4 → 39

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
2.0ms	x	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
2.0ms	z	@	0	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
1.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
1.0ms	y	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))

rewrite143.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
358×	`pow-prod-down_binary64`
294×	`pow2_binary64`
267×	`prod-diff_binary64`
218×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	263	31
2	3098	29

Stop Event

1×	node limit

Counts

4 → 248

Calls

Call 1

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

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

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

875×	`fma-neg_binary64`
571×	`distribute-rgt-neg-in_binary64`
352×	`distribute-lft-neg-in_binary64`
348×	`*-commutative_binary64`
301×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	572
1	162	489
2	436	479
3	1563	473
4	3320	471
5	4792	467
6	6961	467

Stop Event

1×	node limit

Counts

287 → 271

Calls

Call 1

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

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

eval667.0ms (5.2%)

Compiler: Compiled 21873 to 7658 computations (65% saved)

prune245.0ms (1.9%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	817	20	837
Fresh	8	4	12
Picked	0	1	1
Done	2	3	5
Total	827	28	855

Error

0.0b

Counts

855 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	35.4b	(/.f64 1 (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
	47.7b	(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1)
	33.8b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
	1.4b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
	29.1b	(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
	37.4b	(*.f64 (sin.f64 y) (neg.f64 z))
	15.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	30.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	38.2b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
	1.1b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 3) (.f64 (sin.f64 y) (neg.f64 z)))
	28.4b	(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 (.f64 (sqrt.f64 z) (sin.f64 y)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 z) (sin.f64 y))) (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)) (sqrt.f64 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)))
	39.3b	x
▶	36.7b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	14.6b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	31.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	28.1b	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (*.f64 x (cos.f64 y)))
	32.3b	(-.f64 x (*.f64 y z))
	32.3b	(fma.f64 (neg.f64 y) z x)
	35.3b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (+.f64 x (*.f64 z (sin.f64 y))))
	40.0b	(.f64 (+.f64 (.f64 y z) x) 1)
	31.0b	(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))) 3)
	26.4b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
▶	54.7b	(*.f64 y (neg.f64 z))
▶	0.2b	(+.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)))))
▶	25.6b	(*.f64 (cos.f64 y) x)
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 751 to 473 computations (37% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.1b	(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
✓	52.1b	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 63 to 11 computations (82.5% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	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	z	@	-inf	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms	z	@	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)))

rewrite74.0ms (0.6%)

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))))))))))

simplify83.0ms (0.6%)

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))

localize7.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

629×	`distribute-lft-out_binary64`
610×	`distribute-rgt-out_binary64`
428×	`*-commutative_binary64`
420×	`associate-+l+_binary64`
420×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	54	64
2	148	58
3	481	55
4	2096	55
5	4262	55
6	4535	55
7	4866	55
8	5379	55
9	6128	55
10	6941	55

Stop Event

1×	node limit

Counts

15 → 18

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	6.8b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series14.0ms (0.1%)

Counts

3 → 30

Calls

21 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
894×	`add-log-exp_binary64`
893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	215	23
2	2456	23

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

Outputs

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

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

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	213
1	21	213
2	37	213
3	50	213
4	66	213
5	100	213
6	155	213
7	205	213
8	270	213
9	344	213
10	394	213
11	400	213

Stop Event

1×

saturated

Counts

120 → 96

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 10 computations (73% saved)

series21.0ms (0.2%)

Counts

2 → 29

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
3.0ms	x	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
2.0ms	x	@	-inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
1.0ms	x	@	0	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
1.0ms	y	@	-inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))

rewrite67.0ms (0.5%)

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	29
1	221	22
2	2731	22

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-def_binary64`
886×	`fma-neg_binary64`
432×	`distribute-rgt-neg-in_binary64`
345×	`*-commutative_binary64`
328×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	46	424
1	123	402
2	333	390
3	1034	381
4	2913	381
5	5278	379
6	7872	379

Stop Event

1×	node limit

Counts

66 → 57

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 -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 -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))
(sqrt.f64 x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))))

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

eval147.0ms (1.1%)

Compiler: Compiled 6132 to 1975 computations (67.8% saved)

prune106.0ms (0.8%)

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	342	11	353
Fresh	6	13	19
Picked	0	1	1
Done	1	7	8
Total	349	32	381

Error

0.0b

Counts

381 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	47.7b	(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1)
	33.8b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
	29.1b	(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
	1.4b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
	37.4b	(*.f64 (sin.f64 y) (neg.f64 z))
	15.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	38.2b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
▶	30.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
▶	37.5b	(-.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	43.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
✓	25.6b	(*.f64 (cos.f64 y) x)
	36.8b	(-.f64 x (pow.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2) 2))
	42.6b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (neg.f64 z)))
	34.4b	(fma.f64 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	39.3b	x
✓	36.7b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	14.6b	(-.f64 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)))
	28.2b	(-.f64 x (.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
✓	31.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	28.1b	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (*.f64 x (cos.f64 y)))
	36.7b	(-.f64 x (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/2) 2))
▶	32.3b	(-.f64 x (*.f64 y z))
▶	32.3b	(fma.f64 (neg.f64 y) z x)
	28.2b	(-.f64 x (.f64 (cbrt.f64 (.f64 z z)) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	40.0b	(.f64 (+.f64 (.f64 y z) x) 1)
	31.0b	(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))) 3)
	26.4b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
✓	54.7b	(*.f64 y (neg.f64 z))
▶	1.1b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 3) (.f64 (sin.f64 y) (neg.f64 z)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 741 to 508 computations (31.4% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)

Compiler

Compiled 62 to 21 computations (66.1% saved)

series80.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)
14.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)
9.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)
6.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cos.f64 y))) 3)

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`pow1_binary64`
652×	`add-log-exp_binary64`
652×	`log1p-expm1-u_binary64`
652×	`expm1-log1p-u_binary64`
634×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	183	18
2	1834	18

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

798×	`distribute-rgt-in_binary64`
674×	`fma-def_binary64`
499×	`distribute-rgt-out_binary64`
497×	`associate-l_binary64`
492×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1020
1	289	874
2	984	803
3	4883	783

Stop Event

1×	node limit

Counts

102 → 77

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (.f64 (pow.f64 1 1/9) (.f64 (cbrt.f64 -1) (cos.f64 y))))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (.f64 (pow.f64 1 1/9) (.f64 (cbrt.f64 -1) (cos.f64 y))))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (.f64 (pow.f64 1 1/9) (.f64 (cbrt.f64 -1) (cos.f64 y))))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (.f64 (pow.f64 1 1/9) (.f64 (cbrt.f64 -1) (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 -1/6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 -1/6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/9) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)) (.f64 -1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 1/18 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (pow.f64 y 4)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 -1/6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/9) (+.f64 (.f64 1/216 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)) (.f64 -23/3240 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (.f64 1/216 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/9) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)) (.f64 -1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9))))))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/9) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)) (.f64 -1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 1/18 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (pow.f64 y 4)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3))
(pow.f64 x 1/9)
(+.f64 (pow.f64 x 1/9) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/9) (pow.f64 y 2))))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 (.f64 1 x) 1/9) (pow.f64 y 4))) (+.f64 (pow.f64 x 1/9) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/9) (pow.f64 y 2)))))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 (.f64 1 x) 1/9) (pow.f64 y 4))) (+.f64 (pow.f64 x 1/9) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 (.f64 1 x) 1/9) (pow.f64 y 6))) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/9) (pow.f64 y 2))))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))

Outputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (.f64 (pow.f64 1 1/9) (.f64 (cbrt.f64 -1) (cos.f64 y))))
(.f64 (cbrt.f64 (neg.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 x))))
(.f64 (cos.f64 y) (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (.f64 (pow.f64 1 1/9) (.f64 (cbrt.f64 -1) (cos.f64 y))))
(.f64 (cbrt.f64 (neg.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 x))))
(.f64 (cos.f64 y) (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (.f64 (pow.f64 1 1/9) (.f64 (cbrt.f64 -1) (cos.f64 y))))
(.f64 (cbrt.f64 (neg.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 x))))
(.f64 (cos.f64 y) (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/3) (.f64 (pow.f64 1 1/9) (.f64 (cbrt.f64 -1) (cos.f64 y))))
(.f64 (cbrt.f64 (neg.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 -1)))
(.f64 (cos.f64 y) (.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 x))))
(.f64 (cos.f64 y) (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 -1/6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(fma.f64 (.f64 y y) (.f64 (.f64 1 (cbrt.f64 x)) -1/2) (.f64 1 (cbrt.f64 x)))
(fma.f64 (.f64 y y) (.f64 (cbrt.f64 x) -1/2) (cbrt.f64 x))
(fma.f64 y (.f64 y (.f64 (cbrt.f64 x) -1/2)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (+.f64 1 (.f64 (*.f64 y y) -1/2)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 -1/6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/9) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)) (.f64 -1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 1/18 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (pow.f64 y 4)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))
(fma.f64 (.f64 y y) (.f64 (.f64 1 (cbrt.f64 x)) -1/2) (fma.f64 (fma.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) 0) (.f64 (.f64 1 (cbrt.f64 x)) 1/24)) (pow.f64 y 4) (*.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 y y) (.f64 (cbrt.f64 x) -1/2) (fma.f64 (fma.f64 (cbrt.f64 x) 1/24 (.f64 (pow.f64 x 1/18) (.f64 (pow.f64 x 1/18) 0))) (pow.f64 y 4) (cbrt.f64 x)))
(fma.f64 y (.f64 y (.f64 (cbrt.f64 x) -1/2)) (fma.f64 (fma.f64 (cbrt.f64 x) 1/24 0) (pow.f64 y 4) (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (+.f64 (+.f64 1 (.f64 (.f64 y y) -1/2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 -1/6 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/9) (+.f64 (.f64 1/216 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)) (.f64 -23/3240 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (.f64 1/216 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/9) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)) (.f64 -1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9))))))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/9) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)) (.f64 -1/36 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (.f64 1/18 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))))) (pow.f64 y 4)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))))
(fma.f64 (.f64 y y) (.f64 (.f64 1 (cbrt.f64 x)) -1/2) (fma.f64 (pow.f64 y 6) (fma.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) -1/405) (+.f64 (+.f64 (.f64 1/216 (cbrt.f64 x)) (.f64 -23/6480 (cbrt.f64 x))) (.f64 (.f64 -1/6 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) 0)))) (fma.f64 (fma.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) 0) (.f64 (.f64 1 (cbrt.f64 x)) 1/24)) (pow.f64 y 4) (*.f64 1 (cbrt.f64 x)))))
(fma.f64 (.f64 y y) (.f64 (cbrt.f64 x) -1/2) (fma.f64 (pow.f64 y 6) (fma.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) -1/405) (+.f64 (.f64 (pow.f64 x 1/18) (.f64 (pow.f64 x 1/18) 0)) (.f64 (cbrt.f64 x) 7/6480))) (fma.f64 (fma.f64 (cbrt.f64 x) 1/24 (.f64 (pow.f64 x 1/18) (.f64 (pow.f64 x 1/18) 0))) (pow.f64 y 4) (cbrt.f64 x))))
(fma.f64 y (.f64 y (.f64 (cbrt.f64 x) -1/2)) (fma.f64 (fma.f64 (cbrt.f64 x) 1/24 0) (pow.f64 y 4) (fma.f64 (pow.f64 y 6) (fma.f64 (cbrt.f64 x) 7/6480 (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) -1/405))) (cbrt.f64 x))))
(fma.f64 (pow.f64 y 6) (fma.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (.f64 (pow.f64 (.f64 x x) 1/18) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))) -1/405 (.f64 (cbrt.f64 x) 7/6480)) (.f64 (cbrt.f64 x) (+.f64 (+.f64 1 (.f64 (.f64 y y) -1/2)) (.f64 1/24 (pow.f64 y 4)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cos.f64 y) (pow.f64 x 1/3)))
(.f64 1 (.f64 (cos.f64 y) (cbrt.f64 x)))
(*.f64 (cos.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 x) 1/9) (pow.f64 (.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 y))) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(+.f64 (pow.f64 x 1/9) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/9) (pow.f64 y 2))))
(+.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 -1/6 (.f64 (.f64 y y) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))))
(fma.f64 -1/6 (.f64 (.f64 y (pow.f64 x 1/18)) (.f64 y (pow.f64 x 1/18))) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))
(.f64 (+.f64 (.f64 y (.f64 y -1/6)) 1) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 (.f64 1 x) 1/9) (pow.f64 y 4))) (+.f64 (pow.f64 x 1/9) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/9) (pow.f64 y 2)))))
(fma.f64 -1/72 (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 -1/6 (.f64 (.f64 y y) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))))))
(fma.f64 -1/72 (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (pow.f64 y 4)) (fma.f64 -1/6 (.f64 (.f64 y (pow.f64 x 1/18)) (.f64 y (pow.f64 x 1/18))) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))))
(fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (+.f64 (.f64 y (.f64 y -1/6)) (*.f64 -1/72 (pow.f64 y 4)))))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (+.f64 (+.f64 (.f64 y (.f64 y -1/6)) 1) (*.f64 -1/72 (pow.f64 y 4))))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 (.f64 1 x) 1/9) (pow.f64 y 4))) (+.f64 (pow.f64 x 1/9) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 (.f64 1 x) 1/9) (pow.f64 y 6))) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/9) (pow.f64 y 2))))))
(fma.f64 -1/72 (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (fma.f64 -23/6480 (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (pow.f64 y 6)) (.f64 -1/6 (.f64 (.f64 y y) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))))))
(fma.f64 -1/72 (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (pow.f64 y 4)) (fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 -1/6 (.f64 (.f64 y (pow.f64 x 1/18)) (.f64 y (pow.f64 x 1/18))) (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 (pow.f64 y 6) -23/6480)))))
(+.f64 (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (+.f64 (.f64 y (.f64 y -1/6)) (.f64 (pow.f64 y 6) -23/6480))) (.f64 (+.f64 (.f64 -1/72 (pow.f64 y 4)) 1) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))))
(fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (+.f64 (.f64 (pow.f64 y 6) -23/6480) (.f64 (.f64 y y) (+.f64 (.f64 -1/72 (*.f64 y y)) -1/6)))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cos.f64 y) 1/3))
(.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cos.f64 y)))

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)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.5%)

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)))))))

simplify42.0ms (0.3%)

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))

localize16.0ms (0.1%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 8 computations (75.8% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

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

rewrite147.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`prod-diff_binary64`
514×	`log-prod_binary64`
353×	`pow-prod-down_binary64`
255×	`pow2_binary64`
245×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	192	23
2	2597	23

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

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

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

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Rules

708×	`unsub-neg_binary64`
400×	`neg-mul-1_binary64`
393×	`fma-def_binary64`
392×	`neg-sub0_binary64`
331×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	672
1	185	656
2	537	624
3	1590	622
4	2613	622
5	5812	622
6	7750	622

Stop Event

1×	node limit

Counts

283 → 242

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 12 computations (76% saved)

series28.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

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

rewrite132.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
422×	`fma-def_binary64`
374×	`pow-prod-down_binary64`
306×	`pow2_binary64`
212×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	263	30
2	3094	30

Stop Event

1×	node limit

Counts

2 → 229

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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(sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> 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simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

978×	`fma-def_binary64`
554×	`associate-/r*_binary64`
520×	`associate-/l*_binary64`
456×	`*-commutative_binary64`
340×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1254
1	525	1144
2	2100	1072

Stop Event

1×	node limit

Counts

269 → 269

Calls

Call 1

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

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

eval268.0ms (2.1%)

Compiler: Compiled 18125 to 6104 computations (66.3% saved)

prune381.0ms (3%)

Pruning

32 alts after pruning (19 fresh and 13 done)

	Pruned	Kept	Total
New	787	3	790
Fresh	3	16	19
Picked	0	1	1
Done	0	12	12
Total	790	32	822

Error

0.0b

Counts

822 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	47.7b	(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1)
	33.8b	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
	1.4b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
	37.4b	(*.f64 (sin.f64 y) (neg.f64 z))
	15.6b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
✓	30.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
✓	25.6b	(*.f64 (cos.f64 y) x)
	36.8b	(-.f64 x (pow.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2) 2))
	43.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	34.4b	(fma.f64 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	38.2b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (sin.f64 y) z))) 2)
	42.6b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (neg.f64 z)))
	39.3b	x
✓	36.7b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓	14.6b	(-.f64 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)))
	28.2b	(-.f64 x (.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
✓	31.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	28.1b	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (*.f64 x (cos.f64 y)))
	36.7b	(-.f64 x (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/2) 2))
✓	32.3b	(-.f64 x (*.f64 y z))
✓	32.3b	(fma.f64 (neg.f64 y) z x)
	28.2b	(-.f64 x (.f64 (cbrt.f64 (.f64 z z)) (*.f64 (cbrt.f64 z) (sin.f64 y))))
	29.1b	(-.f64 x (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
	26.4b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
	40.0b	(.f64 (+.f64 (.f64 y z) x) 1)
	31.0b	(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))) 3)
✓	0.1b	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
✓	54.7b	(*.f64 y (neg.f64 z))
✓	37.5b	(-.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	1.1b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 3) (.f64 (sin.f64 y) (neg.f64 z)))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 419 to 287 computations (31.5% saved)

regimes330.0ms (2.6%)

Counts

52 → 1

Calls

Call 1

Inputs
x
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(.f64 (+.f64 (.f64 y z) x) 1)
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1)
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x -1/2)) z)))
(*.f64 (cos.f64 y) x)
(fma.f64 (neg.f64 y) z 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 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (sin.f64 y) z))) 2)
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(-.f64 x (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 x (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/2) 2))
(-.f64 x (.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
(-.f64 x (.f64 (cbrt.f64 (.f64 z z)) (*.f64 (cbrt.f64 z) (sin.f64 y))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (+.f64 x (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(-.f64 x (pow.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2) 2))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (neg.f64 z)))
(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))
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2) (.f64 z (sin.f64 y)))) 3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (.f64 (sin.f64 y) (neg.f64 z))) (*.f64 x (cos.f64 y)))
(+.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 1 (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.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 x) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cos.f64 y))) 3) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 (.f64 (sqrt.f64 z) (sin.f64 y)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 z) (sin.f64 y))) (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)) (sqrt.f64 z))))

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

Calls

5 calls:

128.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
60.0ms	y
59.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
33.0ms	x
30.0ms	z

Results

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

Compiler

Compiled 610 to 208 computations (65.9% saved)

regimes158.0ms (1.2%)

Counts

26 → 1

Calls

Call 1

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

91.0ms	x
31.0ms	z
15.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	y

Results

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

Compiler

Compiled 209 to 92 computations (56% saved)

regimes99.0ms (0.8%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	z
25.0ms	y
24.0ms	x

Results

Error	Segments	Branch
5.9b	3	`x`
13.4b	3	`y`
8.6b	6	`z`

Compiler

Compiled 104 to 49 computations (52.9% saved)

bsearch141.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	4.1788711634310487e+96	4.880975139720534e+98
60.0ms	-1.479569144424034e+93	-2.7101027943759197e+87

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes288.0ms (2.2%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	x
34.0ms	y
31.0ms	z

Results

Error	Segments	Branch
11.9b	5	`x`
13.6b	5	`y`
17.3b	3	`z`

Compiler

Compiled 90 to 45 computations (50% saved)

bsearch615.0ms (4.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
92.0ms	6.508842443965079e-87	2.4393327294208463e-67
219.0ms	4.89864710493546e-158	7.718277021017654e-154
82.0ms	6.945795117444892e-184	9.327751023888455e-179
221.0ms	-7.966411202625937e-45	-3.3294841951186443e-47

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes148.0ms (1.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

99.0ms	z
25.0ms	x
21.0ms	y

Results

Error	Segments	Branch
20.7b	3	`x`
17.8b	3	`y`
21.1b	3	`z`

Compiler

Compiled 85 to 43 computations (49.4% saved)

bsearch90.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	3.655831883134953e-16	0.005171316142499176
53.0ms	-75.196613614836	-0.9074586709506887

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
6.0ms	z
6.0ms	x

Results

Error	Segments	Branch
32.3b	1	`x`
32.3b	1	`y`
32.3b	1	`z`

Compiler

Compiled 71 to 38 computations (46.5% saved)

regimes28.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
6.0ms	z
4.0ms	y

Results

Error	Segments	Branch
36.5b	3	`x`
39.3b	1	`y`
37.7b	2	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch235.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
167.0ms	6.945795117444892e-184	9.327751023888455e-179
68.0ms	-1.0392329434757393e-252	-2.2379186517016464e-259

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

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:

5.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
39.3b	1	`x`
39.3b	1	`y`
39.3b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
10×	`+-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	52	187
1	81	187
2	99	187
3	108	187
4	113	187
5	114	187

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -1479569144424034072876159486434406380761392806708270715124031648719729171567383279606509338624) (.f64 (cos.f64 y) x) (if (<=.f64 x 4178871163431048673230987701154877838962021164154277480347233417999418135763449781603149675495424) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -6400764618855317/803469022129495137770981046170581301261101496891396417650688) (.f64 (cos.f64 y) x) (if (<=.f64 x 6645828082050007/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 x 6057921775693743/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 (cos.f64 y) x) (if (<=.f64 x 7289072820767257/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y -330718204155565/4398046511104) (.f64 (cos.f64 y) x) (if (<=.f64 y 3707453984791617/10141204801825835211973625643008) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -8578454384597703/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) x (if (<=.f64 x 6645828082050007/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (*.f64 y (neg.f64 z)) x))
x

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(if (<=.f64 x -1479569144424034072876159486434406380761392806708270715124031648719729171567383279606509338624) (.f64 (cos.f64 y) x) (if (<=.f64 x 4178871163431048673230987701154877838962021164154277480347233417999418135763449781603149675495424) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -1479569144424034072876159486434406380761392806708270715124031648719729171567383279606509338624) (.f64 (cos.f64 y) x) (if (<=.f64 x 4178871163431048673230987701154877838962021164154277480347233417999418135763449781603149675495424) (-.f64 x (.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -6400764618855317/803469022129495137770981046170581301261101496891396417650688) (.f64 (cos.f64 y) x) (if (<=.f64 x 6645828082050007/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 x 6057921775693743/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 (cos.f64 y) x) (if (<=.f64 x 7289072820767257/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y -330718204155565/4398046511104) (.f64 (cos.f64 y) x) (if (<=.f64 y 3707453984791617/10141204801825835211973625643008) (+.f64 x (.f64 y (-.f64 (.f64 y (.f64 x -1/2)) z))) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -8578454384597703/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) x (if (<=.f64 x 6645828082050007/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) (*.f64 y (neg.f64 z)) x))
x

Compiler

Compiled 149 to 86 computations (42.3% saved)

soundness294.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

460×	`*-commutative_binary64`
430×	`distribute-rgt-neg-in_binary64`
403×	`distribute-lft-out_binary64`
374×	`sub-neg_binary64`
328×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	721
1	170	715
2	472	698
3	1512	693
4	2746	693
5	5554	693
6	7478	693

Stop Event

1×	node limit

Compiler

Compiled 76 to 52 computations (31.6% saved)

end90.0ms (0.7%)

Compiler: Compiled 128 to 51 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	10	213
1	21	213
2	37	213
3	50	213
4	66	213
5	100	213
6	155	213
7	205	213
8	270	213
9	344	213
10	394	213
11	400	213

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	10	213
1	21	213
2	37	213
3	50	213
4	66	213
5	100	213
6	155	213
7	205	213
8	270	213
9	344	213
10	394	213
11	400	213

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	10	213
1	21	213
2	37	213
3	50	213
4	66	213
5	100	213
6	155	213
7	205	213
8	270	213
9	344	213
10	394	213
11	400	213

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