Details

analyze294.0ms (3.4%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.2s (25%)

Results

1.1s	6225×	body	256	valid
761.0ms	1375×	body	1024	valid
258.0ms	652×	body	512	valid
3.0ms	4×	body	2048	valid

Bogosity

preprocess86.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1504×	`fma-def`
632×	`associate-+l+`
628×	`associate-+l-`
566×	`associate--r+`
440×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	59	108
2	142	108
3	248	108
4	440	108
5	787	108
6	1691	108
7	2595	108
8	3620	108
9	4098	108
10	4130	108
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 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x))))
(+.f64 y (fma.f64 (sin.f64 x) (neg.f64 z) (cos.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 (cos.f64 y) (-.f64 (*.f64 x (sin.f64 y)) z))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 x) z))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(+.f64 x (-.f64 (cos.f64 z) (*.f64 y (sin.f64 z))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

392×	`fma-def`
246×	`associate-+l-`
218×	`associate--r+`
182×	`associate--l+`
156×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	27
2	43	27
3	72	27
4	123	27
5	204	27
6	398	27
7	662	27
8	860	27
9	1196	27
10	1300	27
11	1310	27

Stop Event

1×

saturated

Counts

1 → 3

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

eval1.0ms (0%)

Compiler: Compiled 30 to 12 computations (60% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

0.04%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.04%	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
▶	0.04%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize32.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	0.01%	(+.f64 x (cos.f64 y))
✓	0.18%	(*.f64 z (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts

3 → 64

Calls

21 calls:

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

rewrite140.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`associate-*r/`
1080×	`distribute-lft-in`
1030×	`associate-*l/`
446×	`associate-+l+`
270×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	240	49
2	3370	49

Stop Event

1×	node limit

Counts

3 → 275

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

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

simplify214.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

950×	`associate-r`
824×	`associate-l`
726×	`+-commutative`
692×	`associate-/l*`
622×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	712	18775
1	2095	17619

Stop Event

1×	node limit

Counts

339 → 406

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)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) 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) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
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 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (cos.f64 y)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (cos.f64 y)))) 1)
(-.f64 (+.f64 (cos.f64 y) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (+.f64 x (cos.f64 y)) 1)
(*.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(.f64 (/.f64 1 (-.f64 x (cos.f64 y))) (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(.f64 (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (+.f64 x (cos.f64 y)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (.f64 x x) (.f64 (cos.f64 y) (+.f64 x (cos.f64 y)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 (.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (.f64 (.f64 x x) (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(/.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))))
(/.f64 1 (/.f64 1 (+.f64 x (cos.f64 y))))
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(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y)))) (.f64 (+.f64 x (cos.f64 y)) (.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 3)) (.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) (+.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (+.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 1 (-.f64 (.f64 x x) (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y)))))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y)))) (.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1) (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y))))) 1) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)) 1) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y)))) (.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (/.f64 1 (+.f64 (.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)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (+.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (+.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))

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 (.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 (.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))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 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) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
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(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))
(-.f64 (fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(+.f64 x (cos.f64 y))
✓	0.03%	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))

Compiler

Compiled 25 to 8 computations (68% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
820×	`unswap-sqr`
584×	`swap-sqr`
522×	`distribute-lft-in`
504×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	247	23
2	3186	23

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

Outputs

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

984×	`distribute-lft-in`
942×	`distribute-rgt-in`
854×	`*-commutative`
690×	`fma-def`
636×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	2647
1	356	2487
2	1278	2481
3	5127	2477

Stop Event

1×	node limit

Counts

77 → 82

Calls

Call 1

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

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

eval166.0ms (1.9%)

Compiler: Compiled 16413 to 4774 computations (70.9% saved)

prune116.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	604	12	616
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	606	12	618

Error

0.01%

Counts

618 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.73%	(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
	53.2%	(-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
	46.06%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	30.57%	(-.f64 x (*.f64 z (sin.f64 y)))
▶	0.18%	(+.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
▶	41.08%	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
	24.3%	(+.f64 (cos.f64 y) x)
▶	33.68%	(+.f64 1 (fma.f64 y (neg.f64 z) x))
	33.69%	(+.f64 1 (-.f64 x (*.f64 y z)))
▶	35.67%	(+.f64 1 x)
▶	74.09%	(*.f64 (sin.f64 y) (neg.f64 z))
	53.73%	x

Compiler

Compiled 258 to 177 computations (31.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	0.01%	(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
	0.18%	(*.f64 z (sin.f64 y))
✓	82.25%	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))

Compiler

Compiled 74 to 16 computations (78.4% saved)

series3.0ms (0%)

Counts

3 → 76

Calls

21 calls:

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

rewrite130.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`associate-*r/`
876×	`associate-*l/`
402×	`associate-/r*`
330×	`associate-+l+`
324×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	301	65
2	4175	65

Stop Event

1×	node limit

Counts

3 → 282

Calls

Call 1

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

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

simplify157.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-r`
1164×	`associate-/l*`
1102×	`associate-l`
900×	`associate-/r*`
738×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	724	21172
1	2176	20564

Stop Event

1×	node limit

Counts

358 → 501

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 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
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 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.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))
1
(+.f64 1 (.f64 -1 (.f64 y z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(cos.f64 y)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (-.f64 (.f64 z (sin.f64 y)) 0) (.f64 z (sin.f64 y)))
(+.f64 (-.f64 (.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1)
(-.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) (+.f64 z z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (+.f64 (.f64 z (sin.f64 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)
(-.f64 (+.f64 (.f64 z (sin.f64 y)) 0) (.f64 z (sin.f64 y)))
(-.f64 (+.f64 (.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1)
(*.f64 (sin.f64 y) (+.f64 z z))
(.f64 (.f64 (sin.f64 y) (+.f64 z z)) 1)
(.f64 1 (.f64 (sin.f64 y) (+.f64 z z)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (-.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (*.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (-.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (-.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (.f64 (sin.f64 y) (+.f64 z z)))
(pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) (+.f64 z z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) (-.f64 1 (+.f64 (*.f64 z (sin.f64 y)) x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) (+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))) (-.f64 1 x))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) (-.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) x))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y))))) (-.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) x))
(-.f64 (/.f64 (.f64 x x) (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) 2) (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) 1)
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))))
(-.f64 (+.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) 0) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
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(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))))
(pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(exp.f64 (log.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(fma.f64 1 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.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 y (.f64 0 z))
(.f64 y (.f64 z 0))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (.f64 (+.f64 (*.f64 -1 z) z) y))
(fma.f64 (pow.f64 y 3) (.f64 z 0) (.f64 y (*.f64 0 z)))
(fma.f64 (pow.f64 y 3) (.f64 z 0) (.f64 y (*.f64 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)))
(fma.f64 (pow.f64 y 3) (.f64 z 0) (fma.f64 (.f64 z 0) (pow.f64 y 5) (.f64 y (.f64 0 z))))
(fma.f64 (pow.f64 y 3) (.f64 z 0) (fma.f64 (.f64 z 0) (pow.f64 y 5) (.f64 y (.f64 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))))
(fma.f64 (pow.f64 y 3) (.f64 z 0) (fma.f64 (.f64 z 0) (pow.f64 y 7) (fma.f64 (.f64 z 0) (pow.f64 y 5) (.f64 y (*.f64 0 z)))))
(fma.f64 (pow.f64 y 3) (.f64 z 0) (fma.f64 (.f64 z 0) (pow.f64 y 7) (fma.f64 (.f64 z 0) (pow.f64 y 5) (.f64 y (*.f64 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 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (.f64 y z) (fma.f64 -1/2 (.f64 y y) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (.f64 y z) (fma.f64 -1/2 (.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
1
(+.f64 1 (.f64 -1 (.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(+.f64 1 (*.f64 y (neg.f64 z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (.f64 y z) (.f64 -1/2 (*.f64 y y))))
(+.f64 1 (fma.f64 -1 (.f64 y z) (.f64 y (*.f64 y -1/2))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(+.f64 1 (fma.f64 -1 (.f64 y z) (fma.f64 -1/2 (.f64 y y) (.f64 1/6 (.f64 z (pow.f64 y 3))))))
(+.f64 1 (fma.f64 -1 (.f64 y z) (fma.f64 -1/2 (.f64 y y) (.f64 z (.f64 (pow.f64 y 3) 1/6)))))
(cos.f64 y)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (+.f64 z z))
(+.f64 (-.f64 (.f64 z (sin.f64 y)) 0) (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (+.f64 z z))
(+.f64 (-.f64 (.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1)
(+.f64 1 (-.f64 (.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z)))))
(-.f64 (fma.f64 z (sin.f64 y) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))))
(-.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(-.f64 0 (*.f64 (sin.f64 y) (+.f64 z z)))
(neg.f64 (*.f64 (sin.f64 y) (+.f64 z z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (+.f64 (.f64 z (sin.f64 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (fma.f64 z (sin.f64 y) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)
(*.f64 (sin.f64 y) (+.f64 z z))
(-.f64 (+.f64 (.f64 z (sin.f64 y)) 0) (.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(-.f64 (+.f64 (.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (.f64 z (sin.f64 y))))) 1)
(+.f64 (fma.f64 z (sin.f64 y) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) -1)
(+.f64 -1 (fma.f64 z (sin.f64 y) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))
(*.f64 (sin.f64 y) (+.f64 z z))
(.f64 (.f64 (sin.f64 y) (+.f64 z z)) 1)
(*.f64 (sin.f64 y) (+.f64 z z))
(.f64 1 (.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 (sin.f64 y) (+.f64 z z))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (sin.f64 y) (+.f64 z z))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2))
(*.f64 (sin.f64 y) (+.f64 z z))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (sin.f64 y) (+.f64 z z))
(/.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (-.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 0))
(/.f64 2 (/.f64 (+.f64 0 (pow.f64 (.f64 (sin.f64 y) z) 2)) (pow.f64 (.f64 (sin.f64 y) z) 3)))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (*.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 0 (*.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 0 (*.f64 (sin.f64 y) z))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (-.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 0))
(/.f64 2 (/.f64 (+.f64 0 (pow.f64 (.f64 (sin.f64 y) z) 2)) (pow.f64 (.f64 (sin.f64 y) z) 3)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 0 (*.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 0 (*.f64 (sin.f64 y) z))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (-.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(/.f64 (.f64 2 (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 0))
(/.f64 2 (/.f64 (+.f64 0 (pow.f64 (.f64 (sin.f64 y) z) 2)) (pow.f64 (.f64 (sin.f64 y) z) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 0 (*.f64 (sin.f64 y) (+.f64 z z)))
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(/.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 (sin.f64 y) z) (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) 3))) (+.f64 (pow.f64 (cos.f64 y) 6) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 6) (.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (cos.f64 y) 3)))))
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(/.f64 (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) 2) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) 2))
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(/.f64 (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) 2) (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) 2)) (/.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
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(/.f64 (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) 2) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))))
(.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 (sin.f64 y) z) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))))
(.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) (.f64 z (fma.f64 z (sin.f64 y) (cos.f64 y))))) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))))
(/.f64 (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) 2) (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 z (sin.f64 y))))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
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(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))
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(cbrt.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) 3))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(exp.f64 (log.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) 1))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(fma.f64 z (sin.f64 y) (cos.f64 y))
(fma.f64 1 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 1 (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))

localize3.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 y (-.f64 (.f64 y -1/2) z))
✓	0.01%	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))

Compiler

Compiled 37 to 23 computations (37.8% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
0.0ms	x	@	0	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
0.0ms	z	@	0	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
0.0ms	z	@	-inf	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
0.0ms	y	@	-inf	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`associate-*r/`
1418×	`associate-*l/`
480×	`associate-+l+`
322×	`associate-/r*`
300×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	266	46
2	3654	46

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs

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

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1294×	`associate-+r+`
1104×	`associate-+l+`
972×	`associate--r+`
704×	`+-commutative`
612×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	9966
1	1047	9696
2	4589	9672

Stop Event

1×	node limit

Counts

194 → 229

Calls

Call 1

Inputs
(+.f64 1 (.f64 y (-.f64 (.f64 -1/2 y) z)))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
x
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
x
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
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(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(exp.f64 (log1p.f64 (+.f64 x (.f64 y (-.f64 (.f64 y -1/2) z)))))
(exp.f64 (.f64 (log1p.f64 (+.f64 x (.f64 y (-.f64 (*.f64 y -1/2) z)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(fma.f64 1 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
(fma.f64 1 (.f64 y (-.f64 (.f64 y -1/2) z)) (+.f64 1 x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(fma.f64 (-.f64 (*.f64 y -1/2) z) y (+.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 y (-.f64 (.f64 y -1/2) z))) (sqrt.f64 (.f64 y (-.f64 (.f64 y -1/2) z))) (+.f64 1 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) (.f64 y (-.f64 (.f64 y -1/2) z)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 (.f64 y -1/2) z))) 2) (cbrt.f64 (.f64 y (-.f64 (.f64 y -1/2) z))) (+.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (.f64 y (-.f64 (.f64 y -1/2) z)))
(+.f64 (.f64 (.f64 y -1/2) y) (*.f64 (neg.f64 z) y))
(+.f64 (.f64 y (.f64 y -1/2)) (*.f64 y (neg.f64 z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 y (*.f64 y -1/2)))
(+.f64 (.f64 (neg.f64 z) y) (.f64 (*.f64 y -1/2) y))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (-.f64 (.f64 y -1/2) z)))) 1)
(/.f64 y (/.f64 (fma.f64 y -1/2 z) (-.f64 (.f64 (.f64 y y) 1/4) (*.f64 z z))))
(/.f64 y (/.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z))) (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))))
(/.f64 (.f64 y (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z))) (fma.f64 y -1/2 z))
(/.f64 (.f64 y (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (+.f64 (.f64 (.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z)) y) (fma.f64 y -1/2 z))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (+.f64 (.f64 (.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (.f64 1 (.f64 y (-.f64 (.f64 (.f64 y y) 1/4) (*.f64 z z)))) (fma.f64 y -1/2 z))
(/.f64 (.f64 1 (.f64 y (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))) (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z))))
(/.f64 (.f64 1 (.f64 (-.f64 (.f64 (.f64 y y) 1/4) (*.f64 z z)) y)) (fma.f64 y -1/2 z))
(/.f64 (.f64 1 (.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y)) (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z))))
(/.f64 (.f64 y (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (neg.f64 z) (neg.f64 z)))) (-.f64 (*.f64 y -1/2) (neg.f64 z)))
(/.f64 (.f64 y (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (neg.f64 z) 3))) (+.f64 (.f64 (.f64 y y) 1/4) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 y -1/2) (neg.f64 z)))))
(/.f64 (.f64 y (neg.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z)))) (neg.f64 (fma.f64 y -1/2 z)))
(/.f64 (.f64 y (neg.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))) (neg.f64 (+.f64 (.f64 (.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (-.f64 (.f64 y -1/2) z))) (sqrt.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z)))) (sqrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (.f64 (.f64 y (sqrt.f64 (-.f64 (.f64 y -1/2) z))) (sqrt.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))) (sqrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (-.f64 (.f64 y -1/2) z)) 2)) (cbrt.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z)))) (cbrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (-.f64 (.f64 y -1/2) z)) 2)) (cbrt.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))) (cbrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (neg.f64 z) (neg.f64 z))) y) (-.f64 (*.f64 y -1/2) (neg.f64 z)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 (neg.f64 z) 3)) y) (+.f64 (.f64 (.f64 y y) 1/4) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (*.f64 y -1/2) (neg.f64 z)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z))) y) (neg.f64 (fma.f64 y -1/2 z)))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) y) (neg.f64 (+.f64 (.f64 (.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (.f64 (.f64 y (-.f64 (.f64 (.f64 y y) 1/4) (*.f64 z z))) 1) (fma.f64 y -1/2 z))
(/.f64 (.f64 (.f64 y (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) 1) (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 y y) 1/4) (*.f64 z z)) y) 1) (fma.f64 y -1/2 z))
(/.f64 (.f64 (.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) 1) (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z))) (.f64 (sqrt.f64 (-.f64 (.f64 y -1/2) z)) y)) (sqrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (.f64 (sqrt.f64 (-.f64 (.f64 y -1/2) z)) y)) (sqrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z))) 1) (fma.f64 y -1/2 z))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z))) (sqrt.f64 (fma.f64 y -1/2 z))) (sqrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z))) (*.f64 (cbrt.f64 (fma.f64 y -1/2 z)) (cbrt.f64 (fma.f64 y -1/2 z)))) (cbrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) 1) (+.f64 (.f64 (.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (sqrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z))))) (sqrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z)))) (cbrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z)))))) (cbrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z)) y) 1) (fma.f64 y -1/2 z))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z)) y) (sqrt.f64 (fma.f64 y -1/2 z))) (sqrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) 1/4) (.f64 z z)) y) (*.f64 (cbrt.f64 (fma.f64 y -1/2 z)) (cbrt.f64 (fma.f64 y -1/2 z)))) (cbrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) 1) (+.f64 (.f64 (.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (sqrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z))))) (sqrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z)))) (cbrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z)))))) (cbrt.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 z (fma.f64 y -1/2 z)))))
(pow.f64 (.f64 y (-.f64 (.f64 y -1/2) z)) 1)
(pow.f64 (sqrt.f64 (.f64 y (-.f64 (.f64 y -1/2) z))) 2)
(pow.f64 (cbrt.f64 (.f64 y (-.f64 (.f64 y -1/2) z))) 3)
(pow.f64 (pow.f64 (.f64 y (-.f64 (.f64 y -1/2) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 y (-.f64 (.f64 y -1/2) z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 y -1/2) z)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (-.f64 (.f64 y -1/2) z)))))
(cbrt.f64 (pow.f64 (.f64 y (-.f64 (.f64 y -1/2) z)) 3))
(expm1.f64 (log1p.f64 (.f64 y (-.f64 (.f64 y -1/2) z))))
(exp.f64 (log.f64 (.f64 y (-.f64 (.f64 y -1/2) z))))
(exp.f64 (.f64 (log.f64 (.f64 y (-.f64 (*.f64 y -1/2) z))) 1))
(log1p.f64 (expm1.f64 (.f64 y (-.f64 (.f64 y -1/2) z))))

Outputs
(+.f64 1 (.f64 y (-.f64 (.f64 -1/2 y) z)))
(+.f64 1 (.f64 y (-.f64 (.f64 y -1/2) z)))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
x
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
x
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 y (-.f64 (.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 y (.f64 y -1/2))
(.f64 -1/2 (.f64 y y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(.f64 y (-.f64 (.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(*.f64 -1/2 (pow.f64 y 2))
(.f64 y (.f64 y -1/2))
(.f64 -1/2 (.f64 y y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(.f64 y (-.f64 (.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1 (*.f64 y z)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1 (*.f64 y z)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1 (*.f64 y z)) x)))
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(exp.f64 (.f64 (log.f64 (.f64 y (-.f64 (*.f64 y -1/2) z))) 1))
(.f64 y (-.f64 (.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(log1p.f64 (expm1.f64 (.f64 y (-.f64 (.f64 y -1/2) z))))
(.f64 y (-.f64 (.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.18%	(*.f64 (sin.f64 y) (neg.f64 z))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
1236×	`add-cube-cbrt`
1218×	`add-cbrt-cube`
1202×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	160	11
2	1989	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1578×	`fma-def`
856×	`*-commutative`
694×	`associate--r+`
688×	`associate-r`
656×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	753
1	153	675
2	514	583
3	2320	579
4	6481	579

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))

Outputs
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.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 (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (.f64 1/6 (.f64 z (pow.f64 y 3)))))
(-.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5)))) (.f64 y z))
(.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5))) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (.f64 z (pow.f64 y 7)) (fma.f64 -1 (.f64 y z) (fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (.f64 z (pow.f64 y 7)) (-.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)))
(.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/120 (pow.f64 y 5))) (fma.f64 1/5040 (pow.f64 y 7) (neg.f64 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)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))

localize7.0ms (0.1%)

Compiler: Compiled 21 to 8 computations (61.9% saved)

eval284.0ms (3.3%)

Compiler: Compiled 29513 to 10795 computations (63.4% saved)

prune178.0ms (2.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	812	4	816
Fresh	0	7	7
Picked	0	1	1
Done	2	2	4
Total	814	14	828

Error

0.01%

Counts

828 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.73%	(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
	53.2%	(-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
▶	46.06%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	30.57%	(-.f64 x (*.f64 z (sin.f64 y)))
	74.22%	(+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
▶	24.3%	(+.f64 (cos.f64 y) x)
✓	33.68%	(+.f64 1 (fma.f64 y (neg.f64 z) x))
	33.69%	(+.f64 1 (-.f64 x (*.f64 y z)))
✓	35.67%	(+.f64 1 x)
✓	74.09%	(*.f64 (sin.f64 y) (neg.f64 z))
▶	89.4%	(.f64 y (-.f64 (.f64 y -1/2) z))
	97.97%	(.f64 y (.f64 y -1/2))
▶	88.86%	(*.f64 y (neg.f64 z))
	53.73%	x

Compiler

Compiled 248 to 171 computations (31% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
	0.18%	(*.f64 z (sin.f64 y))
✓	0.7%	(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓	0.99%	(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)

Compiler

Compiled 53 to 12 computations (77.4% saved)

series21.0ms (0.2%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
3.0ms	z	@	0	(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)

rewrite148.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`associate-*r/`
1036×	`distribute-lft-in`
868×	`associate-*l/`
308×	`associate-+l+`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	306	58
2	3865	58

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

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

Outputs

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

simplify171.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-r`
1066×	`associate-l`
802×	`*-commutative`
606×	`+-commutative`
604×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	656	17489
1	2134	17135

Stop Event

1×	node limit

Counts

193 → 285

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)))) (.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/9) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)))))) (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)))) (.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 x))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (.f64 (pow.f64 1 1/3) (+.f64 1 x)))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2))) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (pow.f64 (.f64 1 (+.f64 1 x)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) (+.f64 1 x))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (pow.f64 z 3))) (+.f64 (.f64 -1/6 z) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 1 x)) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 8)) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (.f64 -1/6 z) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (pow.f64 z 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))))))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/9))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z)))))) (pow.f64 y 3)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2))) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (pow.f64 (.f64 1 (+.f64 1 x)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) (+.f64 1 x)))))
(.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 (+.f64 (cos.f64 y) x) (pow.f64 1 1/3))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) 1)
(.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1)
(.f64 1 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/6) (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(.f64 (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1/3))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (+.f64 (.f64 z (sin.f64 y)) x))))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (.f64 1 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) 1) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) 1) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) 1))
(exp.f64 (.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))

Outputs
(.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))
(+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4) 1/18)) 1) x))
(+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) x))
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)))) (.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x)))
(+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18)) -1/9) (.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)) -1/9))) (.f64 x x) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) 1) x)))
(+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18) -1/9)) (.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)))) (.f64 x x) (.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4) 1/18)) x)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/9) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)))))) (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/3)))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)))) (.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))))
(fma.f64 (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))))) (.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) -2/27)) (fma.f64 1/3 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18)) -1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/18))) (+.f64 (.f64 -1/3 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))))) (.f64 -2/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))))))) (pow.f64 x 3) (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18)) -1/9) (.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)) -1/9))) (.f64 x x) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) 1) x))))
(fma.f64 (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) -5/27)) (/.f64 -2/27 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) 1/18)))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) -5/27) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) -2/27)))) (pow.f64 x 3) (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4)) 1/18) -1/9)) (.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/18)))) (.f64 x x) (.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 4) 1/18)) x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 x))
(+.f64 1 x)
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (.f64 (pow.f64 1 1/3) (+.f64 1 x)))
(fma.f64 (.f64 (.f64 z (*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18))) -1) y (+.f64 1 x))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18)) (neg.f64 z)) y (+.f64 1 x))
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(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) 2)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (+.f64 (.f64 z (sin.f64 y)) x))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (-.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (fma.f64 z (sin.f64 y) (-.f64 x (cos.f64 y)))))
(/.f64 (.f64 1 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (-.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (fma.f64 z (sin.f64 y) (-.f64 x (cos.f64 y)))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (-.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (fma.f64 z (sin.f64 y) (-.f64 x (cos.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) 1) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) 1) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (-.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (fma.f64 z (sin.f64 y) (-.f64 x (cos.f64 y)))))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3)
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/6) 2)
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 3)
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) 2))
(fabs.f64 (cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) 1))
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(exp.f64 (.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1/3))
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))

localize4.0ms (0.1%)

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

localize40.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.01%	(.f64 y (-.f64 (.f64 y -1/2) z))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (cos.f64 y) x)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 7

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1466×	`add-cube-cbrt`
1450×	`add-cbrt-cube`
1436×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1916	11

Stop Event

1×	node limit

Counts

1 → 34

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-r`
956×	`associate-l`
888×	`associate-+r+`
594×	`associate-+l+`
516×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1217
1	266	1029
2	959	891
3	4650	891

Stop Event

1×	node limit

Counts

41 → 52

Calls

Call 1

Inputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(cos.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(*.f64 1 (+.f64 (cos.f64 y) x))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))
(.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)

Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 1 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(cos.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) 1))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 1 (cos.f64 y) x)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 1 x (cos.f64 y))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	0.18%	(*.f64 z (sin.f64 y))

Compiler

Compiled 20 to 7 computations (65% saved)

eval444.0ms (5.2%)

Compiler: Compiled 30791 to 11680 computations (62.1% saved)

prune194.0ms (2.3%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	905	5	910
Fresh	1	5	6
Picked	0	1	1
Done	1	6	7
Total	907	17	924

Error

0.01%

Counts

924 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	74.56%	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 3)
✓	46.06%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	30.57%	(-.f64 x (*.f64 z (sin.f64 y)))
▶	74.22%	(+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
✓	24.3%	(+.f64 (cos.f64 y) x)
✓	33.68%	(+.f64 1 (fma.f64 y (neg.f64 z) x))
▶	33.69%	(+.f64 1 (-.f64 x (*.f64 y z)))
	72.2%	(+.f64 1 (*.f64 y (neg.f64 z)))
✓	35.67%	(+.f64 1 x)
✓	74.09%	(*.f64 (sin.f64 y) (neg.f64 z))
✓	89.4%	(.f64 y (-.f64 (.f64 y -1/2) z))
▶	97.97%	(.f64 y (.f64 y -1/2))
✓	88.86%	(*.f64 y (neg.f64 z))
▶	69.68%	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
	70.02%	(cos.f64 y)
	53.73%	x
	80.71%	1

Compiler

Compiled 228 to 163 computations (28.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 x (*.f64 z (sin.f64 y)))
	0.18%	(*.f64 z (sin.f64 y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 28

Calls

9 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`*-commutative`
748×	`unswap-sqr`
548×	`swap-sqr`
414×	`distribute-lft-in`
408×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	189	17
2	2491	17

Stop Event

1×	node limit

Counts

1 → 148

Calls

Call 1

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

Outputs

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

simplify166.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1650×	`associate-*r/`
1222×	`associate-+r+`
1188×	`associate-+l+`
1020×	`+-commutative`
742×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	11116
1	1190	9994
2	4896	9802

Stop Event

1×	node limit

Counts

176 → 241

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)))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (.f64 z (neg.f64 (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)))))
(+.f64 x (+.f64 (.f64 z (neg.f64 (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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(+.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))))
(+.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))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (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))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (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))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (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))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (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))) (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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 1 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 1 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 1 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 1 (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)))))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 1))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) 1))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) 1))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) 1))
(+.f64 (-.f64 x (.f64 z (sin.f64 y))) (.f64 (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))) 1))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) x)
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (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)))))
(+.f64 (exp.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y))))) -1)
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 x (.f64 z (sin.f64 y))))))
(+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (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))))))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (-.f64 x (.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (-.f64 x (.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 z (sin.f64 y))) (-.f64 x (.f64 z (sin.f64 y))))
(+.f64 (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))) (-.f64 x (.f64 z (sin.f64 y))))
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(.f64 (-.f64 x (.f64 z (sin.f64 y))) 1)
(.f64 1 (-.f64 x (.f64 z (sin.f64 y))))
(.f64 (sqrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (.f64 z (sin.f64 y)))))
(.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)))))))
(.f64 (+.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 z (sin.f64 y)))) (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 (/.f64 1 (+.f64 x (.f64 z (sin.f64 y)))) (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)))
(.f64 (/.f64 1 (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)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3)) (/.f64 1 (+.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (-.f64 (.f64 z (neg.f64 (sin.f64 y))) x)))))
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(.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (/.f64 1 (neg.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))
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(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (+.f64 (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))) 2))) (-.f64 (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))) 3))) (+.f64 (pow.f64 x 4) (.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))) (.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))))
(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))))) (.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 x (.f64 z (sin.f64 y)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3/2))
(.f64 (pow.f64 (pow.f64 (-.f64 x (.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/6))
(/.f64 1 (/.f64 1 (-.f64 x (*.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 (+.f64 x (.f64 z (sin.f64 y))) (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(/.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))))))
(/.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))) (/.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))) (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (/.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2))) (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (/.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 z (sin.f64 y)) 6)) (.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))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 z (sin.f64 y)) 4)) (.f64 (+.f64 x (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (-.f64 (*.f64 z (neg.f64 (sin.f64 y))) x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 3)) (.f64 (+.f64 x (.f64 z (sin.f64 y))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 4) (pow.f64 (.f64 z (*.f64 x (sin.f64 y))) 2)))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) (pow.f64 (.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.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)))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3))) (+.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (-.f64 (.f64 z (neg.f64 (sin.f64 y))) x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (.f64 x x) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (-.f64 (.f64 z (neg.f64 (sin.f64 y))) x))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 x x)) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (neg.f64 (+.f64 x (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 x (.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 x (.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 z (sin.f64 y)) 4)) (/.f64 1 (+.f64 x (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 x (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 4) (pow.f64 (.f64 z (*.f64 x (sin.f64 y))) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 z (sin.f64 y)) 6)) (/.f64 1 (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)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) 6) (.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (+.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (+.f64 x (.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (cbrt.f64 (+.f64 x (.f64 z (sin.f64 y)))) (cbrt.f64 (+.f64 x (.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 x (.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (-.f64 (*.f64 z (neg.f64 (sin.f64 y))) x))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) (.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))) (-.f64 (-.f64 x (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y))))) (-.f64 (-.f64 x (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) (.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (.f64 z (sin.f64 y))))) (-.f64 (-.f64 x (.f64 z (sin.f64 y))) (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.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))))) (-.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)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) (.f64 (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))) (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))))) (-.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)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (-.f64 x (.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (-.f64 x (.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 x (.f64 z (sin.f64 y))))) 1))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 z (sin.f64 y)))) (/.f64 (.f64 x x) (+.f64 x (.f64 z (sin.f64 y))))) (.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 x (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 x (.f64 z (sin.f64 y)))))) (+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 x (.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))))) (.f64 (/.f64 (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)))))) (/.f64 (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)))))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))) (/.f64 (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))))))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y))))))
(neg.f64 (/.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))))))))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))

Outputs
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (+.f64 (.f64 z (sin.f64 y)) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x x (.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x x (.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x x (.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (-.f64 (*.f64 z (neg.f64 (sin.f64 y))) x))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) 2) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.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))))) (-.f64 x (fma.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))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) (.f64 (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))) (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))))) (-.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)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 2) (.f64 (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))) (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))))) (-.f64 x (+.f64 (.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))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) 2) (.f64 (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))) (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))))) (-.f64 x (fma.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))))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (-.f64 x (.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (-.f64 x (.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 x (.f64 z (sin.f64 y))))) 1))
(/.f64 (fma.f64 (exp.f64 (log1p.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) (exp.f64 (log1p.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) -1) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 z (sin.f64 y)))) (/.f64 (.f64 x x) (+.f64 x (.f64 z (sin.f64 y))))) (.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 x (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 x (.f64 z (sin.f64 y)))))) (+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 x (.f64 z (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (/.f64 x (/.f64 (+.f64 (.f64 z (sin.f64 y)) x) x)) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 (.f64 z (sin.f64 y)) x))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (+.f64 (.f64 z (sin.f64 y)) x))) (+.f64 (/.f64 x (/.f64 (+.f64 (.f64 z (sin.f64 y)) x) x)) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (+.f64 (.f64 (/.f64 x (fma.f64 z (sin.f64 y) x)) x) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) x)))) (+.f64 (.f64 (/.f64 x (fma.f64 z (sin.f64 y) x)) x) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y))))))) (.f64 (/.f64 (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)))))) (/.f64 (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)))))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (+.f64 x (.f64 z (sin.f64 y)))))) (/.f64 (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))))))))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (+.f64 (.f64 z (sin.f64 y)) x))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (+.f64 (.f64 z (sin.f64 y)) x)))))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (+.f64 (.f64 z (sin.f64 y)) x)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (+.f64 (.f64 z (sin.f64 y)) x))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(neg.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 x x)) (neg.f64 (fma.f64 z (sin.f64 y) x)))
(neg.f64 (/.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))))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x x (.f64 z (.f64 (sin.f64 y) (+.f64 (.f64 z (sin.f64 y)) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 x x (.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 2))
(fabs.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 x (*.f64 y z))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`add-sqr-sqrt`
1672×	`*-un-lft-identity`
1558×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	13
2	2070	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1036×	`associate-+l+`
816×	`fma-def`
802×	`associate-/l/`
678×	`associate-/r/`
554×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1217
1	298	1167
2	1311	1167
3	4993	1167

Stop Event

1×	node limit

Counts

75 → 49

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

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (.f64 (.f64 y (neg.f64 z)) 1))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 z) y (.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 y) z (.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
(-.f64 x (*.f64 y z))
(+.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)))
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 y (neg.f64 z)) x)
(-.f64 x (*.f64 y z))
(.f64 (-.f64 x (.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(.f64 1 (-.f64 x (.f64 y z)))
(-.f64 x (*.f64 y z))
(.f64 (sqrt.f64 (-.f64 x (.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(-.f64 x (*.f64 y z))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (/.f64 1 (+.f64 x (.f64 y z))))
(-.f64 x (*.f64 y z))
(.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))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (pow.f64 (*.f64 y z) 2))))
(-.f64 x (*.f64 y z))
(/.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))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(/.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)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(-.f64 x (*.f64 y z))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (neg.f64 z)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z))) (.f64 x (*.f64 y (neg.f64 z))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.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))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(-.f64 x (*.f64 y z))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(-.f64 x (*.f64 y z))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(-.f64 x (*.f64 y z))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(-.f64 x (*.f64 y z))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))
(-.f64 x (*.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(-.f64 x (*.f64 y z))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(exp.f64 (.f64 (log.f64 (-.f64 x (.f64 y z))) 1))
(-.f64 x (*.f64 y z))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y (neg.f64 z)))
(-.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)) (*.f64 y z))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(+.f64 (cos.f64 y) x)
✓	0.48%	(expm1.f64 (+.f64 (cos.f64 y) x))
✓	1.63%	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(expm1.f64 (+.f64 (cos.f64 y) x))
0.0ms	x	@	0	(expm1.f64 (+.f64 (cos.f64 y) x))
0.0ms	y	@	inf	(expm1.f64 (+.f64 (cos.f64 y) x))
0.0ms	y	@	-inf	(expm1.f64 (+.f64 (cos.f64 y) x))
0.0ms	x	@	-inf	(expm1.f64 (+.f64 (cos.f64 y) x))

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`add-sqr-sqrt`
1738×	`*-un-lft-identity`
1618×	`add-cube-cbrt`
1600×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	183	26
2	2144	26

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1292×	`fma-def`
778×	`associate-+r-`
752×	`unswap-sqr`
738×	`associate-+l-`
548×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2199
1	469	2085
2	1826	2013
3	7070	2013

Stop Event

1×	node limit

Counts

103 → 102

Calls

Call 1

Inputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) 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)
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (+.f64 1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (exp.f64 (+.f64 1 x))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x)))))) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 (+.f64 1 x)))) (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x))))))) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x)) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x))) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (.f64 (exp.f64 (cos.f64 y)) x) (.f64 1/6 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)))))) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 y) x))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(*.f64 1 (+.f64 (cos.f64 y) x))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))
(.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) 1))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(+.f64 (exp.f64 (+.f64 (cos.f64 y) x)) -1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(*.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 1)
(*.f64 1 (expm1.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 y) x)) (exp.f64 (+.f64 (cos.f64 y) x))) 1) (+.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 3) 1) (+.f64 (.f64 (exp.f64 (+.f64 (cos.f64 y) x)) (exp.f64 (+.f64 (cos.f64 y) x))) (+.f64 1 (.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1))))
(pow.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 2))
(log.f64 (exp.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 3))
(exp.f64 (log.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))

Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(fma.f64 -1/2 (*.f64 y y) (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
x
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
x
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(-.f64 (exp.f64 (+.f64 1 x)) 1)
(expm1.f64 (+.f64 1 x))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (exp.f64 (+.f64 1 x))) 1)
(+.f64 (.f64 -1/2 (.f64 (*.f64 y y) (exp.f64 (+.f64 1 x)))) (expm1.f64 (+.f64 1 x)))
(fma.f64 (.f64 -1/2 (.f64 y y)) (exp.f64 (+.f64 1 x)) (expm1.f64 (+.f64 1 x)))
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) (exp.f64 (+.f64 1 x)) -1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x)))))) 1)
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (exp.f64 (+.f64 1 x))) (+.f64 (exp.f64 (+.f64 1 x)) (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x)))))) -1)
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (exp.f64 (+.f64 1 x))) (.f64 (+.f64 (.f64 (pow.f64 y 4) 1/6) 1) (exp.f64 (+.f64 1 x)))) -1)
(+.f64 (.f64 (exp.f64 (+.f64 1 x)) (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 (pow.f64 y 4) 1/6 1))) -1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 (+.f64 1 x)))) (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x))))))) 1)
(+.f64 (+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (exp.f64 (+.f64 1 x))) (exp.f64 (+.f64 1 x))) (fma.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 (+.f64 1 x))) (.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x)))))) -1)
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 y y))) (exp.f64 (+.f64 1 x))) (-.f64 (.f64 (exp.f64 (+.f64 1 x)) (+.f64 (.f64 (pow.f64 y 4) 1/6) (.f64 (pow.f64 y 6) -31/720))) 1))
(+.f64 (expm1.f64 (+.f64 1 x)) (.f64 (exp.f64 (+.f64 1 x)) (+.f64 (fma.f64 (pow.f64 y 6) -31/720 (.f64 (pow.f64 y 4) 1/6)) (.f64 -1/2 (.f64 y y)))))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x)) 1)
(+.f64 (exp.f64 (cos.f64 y)) (-.f64 (*.f64 x (exp.f64 (cos.f64 y))) 1))
(+.f64 (*.f64 (+.f64 1 x) (exp.f64 (cos.f64 y))) -1)
(fma.f64 (+.f64 1 x) (exp.f64 (cos.f64 y)) -1)
(-.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x))) 1)
(+.f64 (fma.f64 1/2 (.f64 (exp.f64 (cos.f64 y)) (.f64 x x)) (+.f64 (exp.f64 (cos.f64 y)) (*.f64 x (exp.f64 (cos.f64 y))))) -1)
(+.f64 (fma.f64 1/2 (.f64 x (.f64 x (exp.f64 (cos.f64 y)))) (*.f64 (+.f64 1 x) (exp.f64 (cos.f64 y)))) -1)
(+.f64 (.f64 (exp.f64 (cos.f64 y)) (+.f64 (+.f64 1 x) (.f64 1/2 (*.f64 x x)))) -1)
(-.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (.f64 (exp.f64 (cos.f64 y)) x) (.f64 1/6 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)))))) 1)
(+.f64 (fma.f64 1/2 (.f64 (exp.f64 (cos.f64 y)) (.f64 x x)) (+.f64 (exp.f64 (cos.f64 y)) (fma.f64 (exp.f64 (cos.f64 y)) x (.f64 1/6 (.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)))))) -1)
(fma.f64 1/2 (.f64 x (.f64 x (exp.f64 (cos.f64 y)))) (+.f64 (fma.f64 1/6 (.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)) (.f64 x (exp.f64 (cos.f64 y)))) (expm1.f64 (cos.f64 y))))
(+.f64 (.f64 (exp.f64 (cos.f64 y)) (+.f64 (+.f64 1 x) (.f64 1/2 (.f64 x x)))) (fma.f64 1/6 (.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)) -1))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 x (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 y) x))) 1)
(+.f64 x (cos.f64 y))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(*.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(+.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(+.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(+.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(+.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(+.f64 x (cos.f64 y))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(+.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) 1))
(+.f64 x (cos.f64 y))
(fma.f64 1 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(fma.f64 1 x (cos.f64 y))
(+.f64 x (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(+.f64 x (cos.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(+.f64 x (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(+.f64 x (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(+.f64 x (cos.f64 y))
(+.f64 (exp.f64 (+.f64 (cos.f64 y) x)) -1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(*.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(*.f64 1 (expm1.f64 (+.f64 (cos.f64 y) x)))
(expm1.f64 (+.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))
(expm1.f64 (+.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 2))
(expm1.f64 (+.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))
(expm1.f64 (+.f64 x (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 y) x)) (exp.f64 (+.f64 (cos.f64 y) x))) 1) (+.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1))
(expm1.f64 (+.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 3) 1) (+.f64 (.f64 (exp.f64 (+.f64 (cos.f64 y) x)) (exp.f64 (+.f64 (cos.f64 y) x))) (+.f64 1 (.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 x (cos.f64 y))) 3) -1) (+.f64 (exp.f64 (+.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y)))) (+.f64 1 (exp.f64 (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (+.f64 x (cos.f64 y))) 3)) (+.f64 (exp.f64 (*.f64 2 (+.f64 x (cos.f64 y)))) (fma.f64 (exp.f64 (cos.f64 y)) (exp.f64 x) 1)))
(/.f64 (expm1.f64 (.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 1 (.f64 (exp.f64 (+.f64 x (cos.f64 y))) (+.f64 1 (exp.f64 (+.f64 x (cos.f64 y)))))))
(pow.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 2)
(expm1.f64 (+.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 3)
(expm1.f64 (+.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 3) 1/3)
(expm1.f64 (+.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 2))
(expm1.f64 (+.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))
(expm1.f64 (+.f64 x (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))))
(expm1.f64 (+.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 y) x)) 3))
(expm1.f64 (+.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))
(expm1.f64 (+.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (cos.f64 y) x))) 1))
(expm1.f64 (+.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 y) x))))
(expm1.f64 (+.f64 x (cos.f64 y)))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.18%	(*.f64 z (sin.f64 y))
	0.18%	(*.f64 (sin.f64 y) (neg.f64 z))
	82.25%	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))

Compiler

Compiled 56 to 14 computations (75% saved)

eval148.0ms (1.7%)

Compiler: Compiled 12818 to 4299 computations (66.5% saved)

prune114.0ms (1.3%)

Pruning

18 alts after pruning (6 fresh and 12 done)

	Pruned	Kept	Total
New	588	2	590
Fresh	1	4	5
Picked	0	1	1
Done	0	11	11
Total	589	18	607

Error

0.01%

Counts

607 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	74.56%	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 3)
✓	46.06%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	30.57%	(-.f64 x (*.f64 z (sin.f64 y)))
	52.1%	(-.f64 x (*.f64 z y))
✓	74.22%	(+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
✓	24.3%	(+.f64 (cos.f64 y) x)
✓	33.68%	(+.f64 1 (fma.f64 y (neg.f64 z) x))
✓	33.69%	(+.f64 1 (-.f64 x (*.f64 y z)))
	72.2%	(+.f64 1 (*.f64 z (neg.f64 y)))
✓	35.67%	(+.f64 1 x)
✓	74.09%	(*.f64 (sin.f64 y) (neg.f64 z))
✓	89.4%	(.f64 y (-.f64 (.f64 y -1/2) z))
✓	97.97%	(.f64 y (.f64 y -1/2))
✓	88.86%	(*.f64 y (neg.f64 z))
✓	69.68%	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
	70.02%	(cos.f64 y)
	53.73%	x
	80.71%	1

Compiler

Compiled 155 to 111 computations (28.4% saved)

regimes58.0ms (0.7%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	z
13.0ms	y
13.0ms	x
12.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Error	Segments	Branch
0.04%	1	`x`
0.04%	1	`y`
0.04%	1	`z`
0.04%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 207 to 83 computations (59.9% saved)

regimes49.0ms (0.6%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms	x
11.0ms	y
11.0ms	z

Results

Error	Segments	Branch
0.04%	1	`x`
0.04%	1	`y`
0.04%	1	`z`
0.04%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 137 to 68 computations (50.4% saved)

regimes114.0ms (1.3%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	y
35.0ms	x
26.0ms	z

Results

Error	Segments	Branch
2.86%	3	`x`
8.13%	6	`y`
5.89%	3	`z`

Compiler

Compiled 102 to 53 computations (48% saved)

bsearch93.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	0.11039588478356901	303419.44831500563
47.0ms	-4083639104654609000.0	-0.0005248105020018153

Results

37.0ms	82×	body	1024	valid
27.0ms	183×	body	256	valid
17.0ms	50×	body	512	valid
8.0ms	5×	body	2048	valid

Compiler

Compiled 438 to 313 computations (28.5% saved)

regimes269.0ms (3.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

158.0ms	z
54.0ms	y
53.0ms	x

Results

Error	Segments	Branch
12.56%	7	`x`
7.37%	7	`y`
5.89%	3	`z`

Compiler

Compiled 95 to 52 computations (45.3% saved)

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.953608411311669e+39	1.148934709918263e+40
29.0ms	-1.1707615934019083e+21	-656990748081.9652

Results

22.0ms	148×	body	256	valid
11.0ms	26×	body	1024	valid
6.0ms	18×	body	512	valid

Compiler

Compiled 234 to 169 computations (27.8% saved)

regimes103.0ms (1.2%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	x
35.0ms	y
30.0ms	z

Results

Error	Segments	Branch
19.93%	5	`x`
12.86%	5	`y`
16%	3	`z`

Compiler

Compiled 82 to 47 computations (42.7% saved)

bsearch122.0ms (1.4%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	2.232127856641128e+139	1.6694864637560873e+144
30.0ms	1.8817516975514404e+99	2.9715630752423706e+103
30.0ms	9.287919714631462e-20	95.14900605282004
28.0ms	-3.162230374155703e+26	-234210200243.58163

Results

67.0ms	436×	body	256	valid
48.0ms	172×	body	512	valid

Compiler

Compiled 706 to 528 computations (25.2% saved)

regimes103.0ms (1.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	x
29.0ms	z
21.0ms	y

Results

Error	Segments	Branch
22.18%	3	`x`
14.83%	3	`y`
18.31%	3	`z`

Compiler

Compiled 77 to 45 computations (41.6% saved)

bsearch81.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
53.0ms	9.287919714631462e-20	95.14900605282004
28.0ms	-3.162230374155703e+26	-234210200243.58163

Results

77.0ms

336×

body

256

valid

Compiler

Compiled 417 to 307 computations (26.4% saved)

regimes109.0ms (1.3%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	z
34.0ms	x
33.0ms	y

Results

Error	Segments	Branch
23.04%	5	`x`
24.51%	5	`y`
27.28%	5	`z`

Compiler

Compiled 73 to 44 computations (39.7% saved)

bsearch162.0ms (1.9%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	4.140449932455953e-20	3.774260071263151e-6
24.0ms	3.113712972818717e-174	2.628399681045312e-173
76.0ms	2.105567301806328e-252	9.949789854220236e-248
17.0ms	-4.0886892272624186e-11	-2.3282788899576477e-11

Results

97.0ms	113×	body	1024	valid
41.0ms	274×	body	256	valid
18.0ms	61×	body	512	valid

Compiler

Compiled 494 to 391 computations (20.9% saved)

regimes63.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	z
18.0ms	y
18.0ms	x

Results

Error	Segments	Branch
27.47%	3	`x`
26.18%	3	`y`
29.7%	3	`z`

Compiler

Compiled 71 to 43 computations (39.4% saved)

bsearch65.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	9.287919714631462e-20	95.14900605282004
32.0ms	-4.34978500893099e+53	-7.332363274714886e+34

Results

56.0ms

336×

body

256

valid

Compiler

Compiled 480 to 370 computations (22.9% saved)

regimes62.0ms (0.7%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
17.0ms	x
17.0ms	y

Results

Error	Segments	Branch
27.47%	3	`x`
26.2%	3	`y`
29.7%	3	`z`

Compiler

Compiled 60 to 36 computations (40% saved)

bsearch60.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	9.287919714631462e-20	95.14900605282004
29.0ms	-3.162230374155703e+26	-234210200243.58163

Results

54.0ms

336×

body

256

valid

Compiler

Compiled 396 to 307 computations (22.5% saved)

regimes52.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	x
16.0ms	y
11.0ms	z

Results

Error	Segments	Branch
28.91%	3	`x`
33.92%	3	`y`
32.8%	2	`z`

Compiler

Compiled 53 to 32 computations (39.6% saved)

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	5.754942950731086e-91	2.485223319696373e-88
17.0ms	-4.0886892272624186e-11	-2.3282788899576477e-11

Results

19.0ms	46×	body	1024	valid
19.0ms	126×	body	256	valid
5.0ms	20×	body	512	valid

Compiler

Compiled 222 to 181 computations (18.5% saved)

regimes36.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
13.0ms	y
9.0ms	z

Results

Error	Segments	Branch
33.76%	3	`x`
33.92%	3	`y`
32.8%	2	`z`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-1.9293518410861422e+183	-1.4712119066732642e+182

Results

10.0ms	69×	body	256	valid
7.0ms	15×	body	1024	valid
3.0ms	12×	body	512	valid

Compiler

Compiled 114 to 85 computations (25.4% saved)

regimes22.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
5.0ms	z
4.0ms	y

Results

Error	Segments	Branch
33.76%	3	`x`
35.67%	1	`y`
35.67%	1	`z`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch48.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	6.290535684082492e-173	1.0249228653895413e-170
20.0ms	1.4395344939009792e-215	5.058652659196993e-215

Results

22.0ms	53×	body	1024	valid
17.0ms	115×	body	256	valid
7.0ms	24×	body	512	valid

Compiler

Compiled 198 to 157 computations (20.7% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
1
x
(+.f64 1 x)

Outputs
(+.f64 1 x)

Calls

3 calls:

4.0ms	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
35.67%	1	`x`
35.67%	1	`y`
35.67%	1	`z`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes21.0ms (0.2%)

Accuracy

Total -38.1b remaining (-158.8%)

Threshold costs -38.1b (-158.8%)

Counts

2 → 3

Calls

Call 1

Inputs
1
x

Outputs
x
1
x

Calls

3 calls:

8.0ms	x
8.0ms	z
3.0ms	y

Results

Error	Segments	Branch
37.54%	3	`x`
53.73%	1	`y`
51.93%	3	`z`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch67.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.04526348451837494	0.11039588478356901
46.0ms	-4083639104654609000.0	-0.0005248105020018153

Results

31.0ms	74×	body	1024	valid
23.0ms	147×	body	256	valid
10.0ms	35×	body	512	valid

Compiler

Compiled 178 to 157 computations (11.8% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
24×	`*-commutative`
18×	`if-if-or-not`
14×	`cancel-sign-sub-inv`
10×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	679
1	163	675
2	182	675
3	191	675
4	196	675
5	197	675

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -1) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x 8286623314361713/9007199254740992) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -110000000000000000000) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 10199999999999999657041806403643985887232) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 y -240000000000) (+.f64 (cos.f64 y) x) (if (<=.f64 y 8070450532247929/72057594037927936) (+.f64 1 (-.f64 x (.f64 y z))) (if (<=.f64 y 2299999999999999885048475958840943976004957237472940001541971892215120259957819684352563850740804616192) (+.f64 (cos.f64 y) x) (if (<=.f64 y 102000000000000007316175186640394053768167129965306631912684067264079510411569147191922881611896271044898112126292597514569418194829721993216) (.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (cos.f64 y) x)))))
(if (<=.f64 y -240000000000) (+.f64 (cos.f64 y) x) (if (<=.f64 y 8854437155380585/18446744073709551616) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -8975065284819007/309485009821345068724781056) (+.f64 1 x) (if (<=.f64 x 8254602048994769/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) (cos.f64 y) (if (<=.f64 x 1893591076649837/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z))) (if (<=.f64 x 7724745845140773/19807040628566084398385987584) (cos.f64 y) (+.f64 1 x)))))
(if (<=.f64 y -7500000000000000530070976223910043844608) (+.f64 1 x) (if (<=.f64 y 42) (+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z))) (+.f64 1 x)))
(if (<=.f64 y -15000000000000) (+.f64 1 x) (if (<=.f64 y 6980579422424269/2251799813685248) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 1 x)))
(if (<=.f64 x -2011652563838743/77371252455336267181195264) (+.f64 1 x) (if (<=.f64 x 8779799389336993/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (+.f64 1 (*.f64 y (neg.f64 z))) (+.f64 1 x)))
(if (<=.f64 z -280000000000000006275103066059434041276932041160469391240161868130283927434412114089984720505983481195461055628722867137449473455121394029996896738388838744791760227682563561843851264) (-.f64 x (*.f64 z y)) (+.f64 1 x))
(if (<=.f64 x 4851619038439715/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) (+.f64 1 x) (if (<=.f64 x 7396840143163425/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (*.f64 y (neg.f64 z)) (+.f64 1 x)))
(+.f64 1 x)
(if (<=.f64 x -7656119366529843/9007199254740992) x (if (<=.f64 x 7926335344172073/72057594037927936) 1 x))
1

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(if (<=.f64 x -1) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x 8286623314361713/9007199254740992) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 x -1) (not (<=.f64 x 8286623314361713/9007199254740992))) (-.f64 x (.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))
(if (<=.f64 z -110000000000000000000) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 10199999999999999657041806403643985887232) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -110000000000000000000) (not (<=.f64 z 10199999999999999657041806403643985887232))) (-.f64 x (*.f64 (sin.f64 y) z)) (+.f64 x (cos.f64 y)))
(if (<=.f64 y -240000000000) (+.f64 (cos.f64 y) x) (if (<=.f64 y 8070450532247929/72057594037927936) (+.f64 1 (-.f64 x (.f64 y z))) (if (<=.f64 y 2299999999999999885048475958840943976004957237472940001541971892215120259957819684352563850740804616192) (+.f64 (cos.f64 y) x) (if (<=.f64 y 102000000000000007316175186640394053768167129965306631912684067264079510411569147191922881611896271044898112126292597514569418194829721993216) (.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (cos.f64 y) x)))))
(if (<=.f64 y -240000000000) (+.f64 x (cos.f64 y)) (if (<=.f64 y 8070450532247929/72057594037927936) (+.f64 1 (-.f64 x (.f64 y z))) (if (or (<=.f64 y 2299999999999999885048475958840943976004957237472940001541971892215120259957819684352563850740804616192) (not (<=.f64 y 102000000000000007316175186640394053768167129965306631912684067264079510411569147191922881611896271044898112126292597514569418194829721993216))) (+.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))))
(if (<=.f64 y -240000000000) (+.f64 (cos.f64 y) x) (if (<=.f64 y 8854437155380585/18446744073709551616) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -240000000000) (not (<=.f64 y 8854437155380585/18446744073709551616))) (+.f64 x (cos.f64 y)) (+.f64 1 (-.f64 x (*.f64 y z))))
(if (<=.f64 x -8975065284819007/309485009821345068724781056) (+.f64 1 x) (if (<=.f64 x 8254602048994769/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) (cos.f64 y) (if (<=.f64 x 1893591076649837/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z))) (if (<=.f64 x 7724745845140773/19807040628566084398385987584) (cos.f64 y) (+.f64 1 x)))))
(if (<=.f64 x -8975065284819007/309485009821345068724781056) (+.f64 x 1) (if (<=.f64 x 8254602048994769/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) (cos.f64 y) (if (<=.f64 x 1893591076649837/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (+.f64 (+.f64 x 1) (.f64 y (-.f64 (.f64 y -1/2) z))) (if (<=.f64 x 7724745845140773/19807040628566084398385987584) (cos.f64 y) (+.f64 x 1)))))
(if (<=.f64 y -7500000000000000530070976223910043844608) (+.f64 1 x) (if (<=.f64 y 42) (+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z))) (+.f64 1 x)))
(if (<=.f64 y -7500000000000000530070976223910043844608) (+.f64 x 1) (if (<=.f64 y 42) (+.f64 (+.f64 x 1) (.f64 y (-.f64 (.f64 y -1/2) z))) (+.f64 x 1)))
(if (<=.f64 y -15000000000000) (+.f64 1 x) (if (<=.f64 y 6980579422424269/2251799813685248) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 1 x)))
(if (<=.f64 y -15000000000000) (+.f64 x 1) (if (<=.f64 y 6980579422424269/2251799813685248) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 x 1)))
(if (<=.f64 x -2011652563838743/77371252455336267181195264) (+.f64 1 x) (if (<=.f64 x 8779799389336993/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (+.f64 1 (*.f64 y (neg.f64 z))) (+.f64 1 x)))
(if (<=.f64 x -2011652563838743/77371252455336267181195264) (+.f64 x 1) (if (<=.f64 x 8779799389336993/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (+.f64 1 (*.f64 y (neg.f64 z))) (+.f64 x 1)))
(if (<=.f64 x -2011652563838743/77371252455336267181195264) (+.f64 x 1) (if (<=.f64 x 8779799389336993/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 z -280000000000000006275103066059434041276932041160469391240161868130283927434412114089984720505983481195461055628722867137449473455121394029996896738388838744791760227682563561843851264) (-.f64 x (*.f64 z y)) (+.f64 1 x))
(if (<=.f64 z -280000000000000006275103066059434041276932041160469391240161868130283927434412114089984720505983481195461055628722867137449473455121394029996896738388838744791760227682563561843851264) (-.f64 x (*.f64 y z)) (+.f64 x 1))
(if (<=.f64 x 4851619038439715/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) (+.f64 1 x) (if (<=.f64 x 7396840143163425/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (*.f64 y (neg.f64 z)) (+.f64 1 x)))
(if (<=.f64 x 4851619038439715/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) (+.f64 x 1) (if (<=.f64 x 7396840143163425/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (*.f64 y (neg.f64 z)) (+.f64 x 1)))
(+.f64 1 x)
(+.f64 x 1)
(if (<=.f64 x -7656119366529843/9007199254740992) x (if (<=.f64 x 7926335344172073/72057594037927936) 1 x))
1

Compiler

Compiled 308 to 211 computations (31.5% saved)

soundness63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

392×	`fma-def`
246×	`associate-+l-`
218×	`associate--r+`
182×	`associate--l+`
156×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	27
2	43	27
3	72	27
4	123	27
5	204	27
6	398	27
7	662	27
8	860	27
9	1196	27
10	1300	27
11	1310	27

Stop Event

1×

saturated

Compiler

Compiled 51 to 15 computations (70.6% saved)

end108.0ms (1.3%)

Compiler: Compiled 266 to 143 computations (46.2% saved)