Details

analyze339.0ms (3.5%)

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)

sample2.4s (24.7%)

Results

1.3s	6174×	body	256	valid
788.0ms	1395×	body	1024	valid
290.0ms	685×	body	512	valid
2.0ms	2×	body	2048	valid

Bogosity

preprocess79.0ms (0.8%)

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)

simplify60.0ms (0.6%)

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

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
▶	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series23.0ms (0.2%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Expression
17.0ms	x	@	(+.f64 x (cos.f64 y))
1.0ms	z	@	(*.f64 z (sin.f64 y))
1.0ms	x	@	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms	y	@	(*.f64 z (sin.f64 y))
0.0ms	z	@	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

rewrite151.0ms (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))))))))

simplify188.0ms (2%)

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)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite90.0ms (0.9%)

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)))))))))

simplify80.0ms (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)))

eval158.0ms (1.6%)

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

prune369.0ms (3.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	602	14	616
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	604	14	618

Error

0.0b

Counts

618 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	25.3b	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
	0.2b	(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
	31.5b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	32.1b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	17.7b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	0.1b	(+.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)))))
	25.5b	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
▶	15.3b	(+.f64 (cos.f64 y) x)
▶	20.6b	(+.f64 1 (fma.f64 y (neg.f64 z) x))
	20.6b	(+.f64 1 (-.f64 x (*.f64 y z)))
▶	20.7b	(+.f64 1 x)
	48.5b	(*.f64 (sin.f64 y) (neg.f64 z))
▶	31.9b	(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
	32.3b	x

Compiler

Compiled 322 to 225 computations (30.1% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
	0.1b	(*.f64 z (sin.f64 y))
✓	54.4b	(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

2 → 60

Calls

15 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)))

rewrite93.0ms (1%)

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	54
1	301	44
2	4175	44

Stop Event

1×	node limit

Counts

2 → 144

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))))

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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simplify132.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1100×	`+-commutative`
578×	`associate-/l*`
554×	`associate--r+`
546×	`times-frac`
520×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	426	10902
1	1330	10212
2	6552	10212

Stop Event

1×	node limit

Counts

204 → 262

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

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))
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localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 7

Calls

6 calls:

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

rewrite55.0ms (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)))))

simplify54.0ms (0.6%)

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))

localize8.0ms (0.1%)

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
✓	29.9b	(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))

Compiler

Compiled 54 to 14 computations (74.1% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite126.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`associate-*r/`
1136×	`distribute-lft-in`
998×	`associate-*l/`
308×	`associate-+l+`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	306	60
2	3875	60

Stop Event

1×	node limit

Counts

2 → 265

Calls

Call 1

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

Outputs

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

simplify186.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-r`
1318×	`associate-l`
1236×	`associate-/l*`
1212×	`distribute-lft-in`
750×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	768	28443
1	2422	28319

Stop Event

1×	node limit

Counts

337 → 464

Calls

Call 1

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

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

eval350.0ms (3.6%)

Compiler: Compiled 37473 to 10408 computations (72.2% saved)

prune336.0ms (3.5%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1048	6	1054
Fresh	1	8	9
Picked	1	0	1
Done	1	3	4
Total	1051	17	1068

Error

0.0b

Counts

1068 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	25.3b	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
▶	31.5b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	32.1b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	17.7b	(-.f64 x (*.f64 z (sin.f64 y)))
	25.5b	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
	48.5b	(+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
✓	15.3b	(+.f64 (cos.f64 y) x)
✓	20.6b	(+.f64 1 (fma.f64 y (neg.f64 z) x))
▶	15.3b	(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
▶	20.6b	(+.f64 1 (-.f64 x (*.f64 y z)))
✓	20.7b	(+.f64 1 x)
▶	48.5b	(*.f64 (sin.f64 y) (neg.f64 z))
	46.4b	(cos.f64 y)
▶	38.0b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
	57.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3))
	59.6b	(cbrt.f64 (.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
	32.3b	x

Compiler

Compiled 331 to 242 computations (26.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (cos.f64 y))
✓	0.1b	(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
✓	1.9b	(-.f64 (+.f64 x (cos.f64 y)) 1)

Compiler

Compiled 26 to 12 computations (53.8% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 x (cos.f64 y)) 1)
0.0ms	y	@	0	(-.f64 (+.f64 x (cos.f64 y)) 1)
0.0ms	y	@	inf	(-.f64 (+.f64 x (cos.f64 y)) 1)
0.0ms	y	@	-inf	(-.f64 (+.f64 x (cos.f64 y)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 x (cos.f64 y)) 1)

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`associate-*r/`
1236×	`associate-*l/`
898×	`*-commutative`
360×	`associate-+l+`
298×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	223	28
2	3162	28

Stop Event

1×	node limit

Counts

2 → 229

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (+.f64 (cos.f64 y) 0) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (+.f64 (cos.f64 y) 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (+.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 (+.f64 x (cos.f64 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (+.f64 (cos.f64 y) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (+.f64 (cos.f64 y) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x (cos.f64 y)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 x 1)) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 2))))) (#(struct:change #<rule 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simplify158.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1096×	`associate-+r-`
764×	`distribute-lft-in`
690×	`distribute-rgt-in`
560×	`associate-r`
534×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	611	12845
1	1740	12263
2	7972	12251

Stop Event

1×	node limit

Counts

277 → 371

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.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	y	@	inf	(-.f64 x (*.f64 y z))
0.0ms	x	@	0	(-.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	z	@	0	(-.f64 x (*.f64 y z))

rewrite54.0ms (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)))))))

simplify60.0ms (0.6%)

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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.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))

rewrite50.0ms (0.5%)

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)))))))

simplify57.0ms (0.6%)

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))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (cos.f64 y) x)
✓	0.2b	(pow.f64 (+.f64 (cos.f64 y) x) 3)
✓	23.9b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))

Compiler

Compiled 25 to 11 computations (56% saved)

series5.0ms (0%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (+.f64 (cos.f64 y) x) 3)
1.0ms	y	@	0	(pow.f64 (+.f64 (cos.f64 y) x) 3)
0.0ms	y	@	inf	(pow.f64 (+.f64 (cos.f64 y) x) 3)
0.0ms	y	@	-inf	(pow.f64 (+.f64 (cos.f64 y) x) 3)
0.0ms	x	@	0	(pow.f64 (+.f64 (cos.f64 y) x) 3)

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1944×	`add-sqr-sqrt`
1912×	`*-un-lft-identity`
1802×	`add-cube-cbrt`
1784×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	212	28
2	2439	28

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1566×	`fma-def`
1312×	`unswap-sqr`
834×	`times-frac`
758×	`*-commutative`
618×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	2986
1	659	2876
2	2464	2788

Stop Event

1×	node limit

Counts

112 → 130

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)
(pow.f64 (+.f64 1 x) 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 1 x) 2)) (*.f64 -1/2 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 (+.f64 1 x) 3))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 1 x) (+.f64 1/4 (.f64 1/12 (+.f64 1 x)))) (+.f64 (.f64 1/2 (+.f64 1 x)) (.f64 1/24 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 1 x) 2)) (.f64 -1/2 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 (+.f64 1 x) 3)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (+.f64 1/4 (.f64 1/12 (+.f64 1 x)))) (+.f64 (.f64 -1/720 (pow.f64 (+.f64 1 x) 2)) (+.f64 (.f64 (+.f64 1 x) (-.f64 (.f64 -1/360 (+.f64 1 x)) 1/24)) (.f64 -1/24 (+.f64 1 x))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 1 x) (+.f64 1/4 (.f64 1/12 (+.f64 1 x)))) (+.f64 (.f64 1/2 (+.f64 1 x)) (.f64 1/24 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 1 x) 2)) (*.f64 -1/2 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 (+.f64 1 x) 3))))
(pow.f64 (cos.f64 y) 3)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (pow.f64 (cos.f64 y) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(pow.f64 x 3)
(+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(pow.f64 x 3)
(+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 y) 2)) (.f64 -2 (pow.f64 (cos.f64 y) 2))) x)) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 y) 2)) (.f64 -2 (pow.f64 (cos.f64 y) 2))) x)) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(+.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 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 1/3))
(*.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 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 1/3) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (cos.f64 y) x))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3/2) 1/3))
(/.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 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) x))))
(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))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (cos.f64 y) x))) 1/3))
(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 (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 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (cos.f64 y)) (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) x))
(+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) x) (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (.f64 x (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(+.f64 (.f64 x (pow.f64 (+.f64 (cos.f64 y) x) 2)) (.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))) 1)
(*.f64 (+.f64 (cos.f64 y) x) (pow.f64 (+.f64 (cos.f64 y) x) 2))
(*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1)
(*.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3/2) (pow.f64 (+.f64 (cos.f64 y) x) 3/2))
(.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) x))
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 1) (+.f64 (cos.f64 y) x))
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (sqrt.f64 (+.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 3) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) 3) (+.f64 (cos.f64 y) x))
(/.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) (-.f64 (cos.f64 y) x))
(/.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.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) 2) (.f64 x x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (-.f64 (cos.f64 y) x))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) 3) (pow.f64 (-.f64 (cos.f64 y) x) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 (cos.f64 y) x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (cos.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3)))

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))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 y y) 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))
(pow.f64 (+.f64 1 x) 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 1 x) 2)) (*.f64 -1/2 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 (+.f64 1 x) 3))
(fma.f64 (.f64 y y) (.f64 (pow.f64 (+.f64 1 x) 2) -3/2) (pow.f64 (+.f64 1 x) 3))
(.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (+.f64 1 x) (.f64 (*.f64 y y) -3/2)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 1 x) (+.f64 1/4 (.f64 1/12 (+.f64 1 x)))) (+.f64 (.f64 1/2 (+.f64 1 x)) (.f64 1/24 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 1 x) 2)) (.f64 -1/2 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 (+.f64 1 x) 3)))
(fma.f64 (fma.f64 (+.f64 1 x) (+.f64 1/4 (+.f64 1/12 (.f64 1/12 x))) (fma.f64 1/2 (+.f64 1 x) (.f64 1/24 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 y 4) (fma.f64 (.f64 y y) (.f64 (pow.f64 (+.f64 1 x) 2) -3/2) (pow.f64 (+.f64 1 x) 3)))
(fma.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 (+.f64 1 x) 2)) (.f64 (+.f64 1 x) (+.f64 (+.f64 1/3 (.f64 x 1/12)) 1/2))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 (+.f64 1 x) 2) -3/2) (pow.f64 (+.f64 1 x) 3)))
(fma.f64 (pow.f64 y 4) (.f64 (+.f64 1 x) (+.f64 (.f64 (+.f64 1 x) 1/24) (+.f64 (fma.f64 x 1/12 1/12) 3/4))) (.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (+.f64 1 x) (.f64 (*.f64 y y) -3/2))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (+.f64 1/4 (.f64 1/12 (+.f64 1 x)))) (+.f64 (.f64 -1/720 (pow.f64 (+.f64 1 x) 2)) (+.f64 (.f64 (+.f64 1 x) (-.f64 (.f64 -1/360 (+.f64 1 x)) 1/24)) (.f64 -1/24 (+.f64 1 x))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 1 x) (+.f64 1/4 (.f64 1/12 (+.f64 1 x)))) (+.f64 (.f64 1/2 (+.f64 1 x)) (.f64 1/24 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 1 x) 2)) (*.f64 -1/2 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 (+.f64 1 x) 3))))
(fma.f64 (fma.f64 -1/2 (+.f64 1/4 (+.f64 1/12 (.f64 1/12 x))) (fma.f64 -1/720 (pow.f64 (+.f64 1 x) 2) (fma.f64 (+.f64 1 x) (fma.f64 -1/360 (+.f64 1 x) -1/24) (+.f64 -1/24 (.f64 -1/24 x))))) (pow.f64 y 6) (fma.f64 (fma.f64 (+.f64 1 x) (+.f64 1/4 (+.f64 1/12 (.f64 1/12 x))) (fma.f64 1/2 (+.f64 1 x) (.f64 1/24 (pow.f64 (+.f64 1 x) 2)))) (pow.f64 y 4) (fma.f64 (.f64 y y) (.f64 (pow.f64 (+.f64 1 x) 2) -3/2) (pow.f64 (+.f64 1 x) 3))))
(fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (+.f64 1/3 (.f64 x 1/12)) (fma.f64 -1/720 (pow.f64 (+.f64 1 x) 2) (.f64 (+.f64 1 x) (+.f64 (fma.f64 (+.f64 1 x) -1/360 -1/24) -1/24)))) (fma.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 (+.f64 1 x) 2)) (.f64 (+.f64 1 x) (+.f64 (+.f64 1/3 (.f64 x 1/12)) 1/2))) (fma.f64 (.f64 y y) (*.f64 (pow.f64 (+.f64 1 x) 2) -3/2) (pow.f64 (+.f64 1 x) 3))))
(fma.f64 (pow.f64 y 4) (.f64 (+.f64 1 x) (+.f64 (.f64 (+.f64 1 x) 1/24) (+.f64 (fma.f64 x 1/12 1/12) 3/4))) (fma.f64 (pow.f64 y 6) (fma.f64 (+.f64 1 x) (+.f64 (fma.f64 x -1/360 -1/360) -1/12) (fma.f64 -1/720 (pow.f64 (+.f64 1 x) 2) (+.f64 (.f64 x -1/24) -1/6))) (.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (+.f64 1 x) (.f64 (.f64 y y) -3/2)))))
(pow.f64 (cos.f64 y) 3)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (pow.f64 (cos.f64 y) 3))
(fma.f64 (*.f64 3 (pow.f64 (cos.f64 y) 2)) x (pow.f64 (cos.f64 y) 3))
(fma.f64 x (*.f64 3 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 3))
(.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 3)))
(fma.f64 (.f64 3 (pow.f64 (cos.f64 y) 2)) x (fma.f64 (.f64 3 (cos.f64 y)) (*.f64 x x) (pow.f64 (cos.f64 y) 3)))
(fma.f64 x (.f64 3 (pow.f64 (cos.f64 y) 2)) (fma.f64 (.f64 (cos.f64 y) 3) (*.f64 x x) (pow.f64 (cos.f64 y) 3)))
(fma.f64 x (.f64 x (.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (.f64 x 3))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(fma.f64 (.f64 3 (pow.f64 (cos.f64 y) 2)) x (+.f64 (fma.f64 (.f64 3 (cos.f64 y)) (*.f64 x x) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3)))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (cos.f64 y) 3) x)) (fma.f64 x (.f64 3 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 3)))
(fma.f64 (.f64 x x) (fma.f64 (cos.f64 y) 3 x) (.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 x 3))))
(pow.f64 x 3)
(+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 (.f64 3 (cos.f64 y)) (.f64 x x) (pow.f64 x 3))
(.f64 (.f64 x x) (+.f64 (*.f64 (cos.f64 y) 3) x))
(.f64 (.f64 x x) (fma.f64 (cos.f64 y) 3 x))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 (.f64 3 (pow.f64 (cos.f64 y) 2)) x (fma.f64 (.f64 3 (cos.f64 y)) (*.f64 x x) (pow.f64 x 3)))
(fma.f64 x (.f64 3 (pow.f64 (cos.f64 y) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (cos.f64 y) 3) x)))
(fma.f64 x (.f64 3 (pow.f64 (cos.f64 y) 2)) (.f64 (*.f64 x x) (fma.f64 (cos.f64 y) 3 x)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) x) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(fma.f64 (.f64 3 (pow.f64 (cos.f64 y) 2)) x (+.f64 (fma.f64 (.f64 3 (cos.f64 y)) (*.f64 x x) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3)))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (cos.f64 y) 3) x)) (fma.f64 x (.f64 3 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 3)))
(fma.f64 (.f64 x x) (fma.f64 (cos.f64 y) 3 x) (.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 x 3))))
(pow.f64 x 3)
(+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 (.f64 3 (cos.f64 y)) (.f64 x x) (pow.f64 x 3))
(.f64 (.f64 x x) (+.f64 (*.f64 (cos.f64 y) 3) x))
(.f64 (.f64 x x) (fma.f64 (cos.f64 y) 3 x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 y) 2)) (.f64 -2 (pow.f64 (cos.f64 y) 2))) x)) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 (.f64 3 (pow.f64 (cos.f64 y) 2)) x (fma.f64 (.f64 3 (cos.f64 y)) (*.f64 x x) (pow.f64 x 3)))
(fma.f64 x (.f64 3 (pow.f64 (cos.f64 y) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (cos.f64 y) 3) x)))
(fma.f64 x (.f64 3 (pow.f64 (cos.f64 y) 2)) (.f64 (*.f64 x x) (fma.f64 (cos.f64 y) 3 x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 y) 2)) (.f64 -2 (pow.f64 (cos.f64 y) 2))) x)) (+.f64 (.f64 (+.f64 (.f64 2 (cos.f64 y)) (cos.f64 y)) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(fma.f64 (.f64 3 (pow.f64 (cos.f64 y) 2)) x (+.f64 (fma.f64 (.f64 3 (cos.f64 y)) (*.f64 x x) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 3)))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (cos.f64 y) 3) x)) (fma.f64 x (.f64 3 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 3)))
(fma.f64 (.f64 x x) (fma.f64 (cos.f64 y) 3 x) (.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 x 3))))
(+.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 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 1/3))
(+.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 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 1/3) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (+.f64 (cos.f64 y) x))
(+.f64 x (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3/2)) (cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3/2)))
(/.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 (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 (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) 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 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)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (.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 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.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 (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 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(+.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))
(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))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) x))))
(+.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))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (cos.f64 y) x))) 1/3))
(+.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(+.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 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (cos.f64 y)) (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) x))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) x) (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (cos.f64 y)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(+.f64 (.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (.f64 x (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(+.f64 (.f64 x (pow.f64 (+.f64 (cos.f64 y) x) 2)) (.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))) 1)
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(*.f64 (+.f64 (cos.f64 y) x) (pow.f64 (+.f64 (cos.f64 y) x) 2))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1)
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(*.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3/2) (pow.f64 (+.f64 (cos.f64 y) x) 3/2))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) x))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 1) (+.f64 (cos.f64 y) x))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (sqrt.f64 (+.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 3) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 3))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) 3) (+.f64 (cos.f64 y) x))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(/.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x))) (-.f64 (cos.f64 y) x))
(/.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (-.f64 (cos.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) 2))
(.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (-.f64 (cos.f64 y) x)))
(/.f64 (.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.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 (pow.f64 (+.f64 x (cos.f64 y)) 2) (/.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 (+.f64 x (cos.f64 y)) 2) (+.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 (pow.f64 (+.f64 x (cos.f64 y)) 2) (/.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 (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (-.f64 (cos.f64 y) x))
(/.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (-.f64 (cos.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) 2))
(.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (.f64 x x)) (-.f64 (cos.f64 y) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (/.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 (+.f64 x (cos.f64 y)) 2) (+.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 (pow.f64 (+.f64 x (cos.f64 y)) 2) (/.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 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) 3) (pow.f64 (-.f64 (cos.f64 y) x) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 3))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(exp.f64 (*.f64 3 (log.f64 (+.f64 (cos.f64 y) x))))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (cos.f64 y) x))) 1))
(pow.f64 (+.f64 x (cos.f64 y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3)))
(pow.f64 (+.f64 x (cos.f64 y)) 3)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓	5.8b	(sqrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series8.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1458×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1424×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	200	26
2	2036	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-+r+`
1180×	`distribute-lft-in`
1162×	`associate-+l+`
1148×	`distribute-rgt-in`
784×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1139
1	234	1007
2	884	879
3	2870	851

Stop Event

1×	node limit

Counts

61 → 62

Calls

Call 1

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

Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 1 (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 1 (.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))

eval321.0ms (3.3%)

Compiler: Compiled 21907 to 10776 computations (50.8% saved)

prune217.0ms (2.3%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	973	8	981
Fresh	0	9	9
Picked	1	0	1
Done	1	6	7
Total	975	23	998

Error

Counts

998 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.3b	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
▶	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y))))
	28.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	32.1b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	41.3b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	17.7b	(-.f64 x (*.f64 z (sin.f64 y)))
	25.5b	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
	48.5b	(+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
✓	15.3b	(+.f64 (cos.f64 y) x)
✓	20.6b	(+.f64 1 (fma.f64 y (neg.f64 z) x))
✓	15.3b	(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
	46.4b	(+.f64 1 (-.f64 (cos.f64 y) 1))
✓	20.6b	(+.f64 1 (-.f64 x (*.f64 y z)))
	32.4b	(+.f64 1 (-.f64 x 1))
	47.0b	(+.f64 1 (*.f64 z (neg.f64 y)))
✓	20.7b	(+.f64 1 x)
✓	48.5b	(*.f64 (sin.f64 y) (neg.f64 z))
▶	57.5b	(*.f64 y (neg.f64 z))
▶	46.4b	(cos.f64 y)
	57.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3))
▶	46.4b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
	59.6b	(cbrt.f64 (.f64 -1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
	32.3b	x

Compiler

Compiled 426 to 312 computations (26.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 18 computations (64.7% saved)

series10.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
2.0ms	y	@	inf	(*.f64 (cbrt.f64 z) (sin.f64 y))
1.0ms	z	@	inf	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y)))
1.0ms	y	@	0	(*.f64 (cbrt.f64 z) (sin.f64 y))
0.0ms	z	@	-inf	(pow.f64 (cbrt.f64 z) 2)

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1906×	`add-sqr-sqrt`
1886×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1718×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	218	42
2	2497	42

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1128×	`unswap-sqr`
824×	`*-commutative`
816×	`fma-def`
554×	`+-commutative`
490×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	1453
1	392	1441
2	1644	1379
3	5631	1363

Stop Event

1×	node limit

Counts

103 → 107

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
✓	0.3b	(pow.f64 (cos.f64 y) 3)

Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`add-sqr-sqrt`
1232×	`*-un-lft-identity`
1164×	`add-cube-cbrt`
1152×	`add-cbrt-cube`
1138×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	163	16
2	1642	16

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-/l*`
930×	`fma-def`
832×	`unswap-sqr`
722×	`distribute-lft-in`
712×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	777
1	225	655
2	893	525
3	2632	525
4	6552	525

Stop Event

1×	node limit

Counts

55 → 69

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))

Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -3/2 (.f64 y y)))
(fma.f64 -3/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (.f64 -3/2 (.f64 y y))))
(+.f64 1 (fma.f64 -3/2 (.f64 y y) (.f64 7/8 (pow.f64 y 4))))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 7/8 -3/2) 1)
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) (.f64 -3/2 (.f64 y y)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 -3/2 (.f64 y y) (.f64 7/8 (pow.f64 y 4)))))
(fma.f64 -61/240 (pow.f64 y 6) (fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1)))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) 1)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (pow.f64 y 6) -1/720 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
✓	0.0b	(sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)

Compiler

Compiled 53 to 12 computations (77.4% saved)

series11.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`associate-*r/`
1012×	`distribute-lft-in`
886×	`associate-*l/`
304×	`associate-+l+`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	304	58
2	3794	58

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

simplify154.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

958×	`associate-/r/`
804×	`associate-r`
656×	`associate-l`
602×	`fma-def`
534×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	533	13783
1	1570	13189
2	6730	13121

Stop Event

1×	node limit

Counts

195 → 308

Calls

Call 1

Inputs
(-.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) (+.f64 x (.f64 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) 2))) (.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (.f64 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) 2))) (.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.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 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (.f64 -1 (+.f64 1/2 (pow.f64 (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (+.f64 (.f64 -1/6 z) (.f64 1/2 (/.f64 (.f64 z (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (.f64 1/2 (/.f64 (.f64 z (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (.f64 -1 (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x)))) (pow.f64 z 2)) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 2))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (pow.f64 z 3)) (+.f64 (cos.f64 y) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x)))) (pow.f64 z 2)) x))))
(sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) x)) (sqrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) x)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 x 2)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 5))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) x)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (pow.f64 x 2))))))
(sqrt.f64 (+.f64 1 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 -1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 y 2) (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 -1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 y 2) (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/2 (/.f64 (.f64 z (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (.f64 -1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (.f64 1 (+.f64 x (.f64 z (neg.f64 (sin.f64 y))))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 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))
(+.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))
(+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 (.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) 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))
(+.f64 (-.f64 (cos.f64 y) (.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))) 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))))
(+.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))))
(+.f64 (+.f64 x (-.f64 (cos.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 (cos.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 (cos.f64 y) (.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 z (neg.f64 (sin.f64 y))) 1))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (cos.f64 y))
(+.f64 (-.f64 (+.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.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 x (*.f64 z (neg.f64 (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 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (-.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.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 (cos.f64 y) (.f64 z (sin.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 (cos.f64 y) (*.f64 z (sin.f64 y)))))) x))
(-.f64 (/.f64 x (/.f64 (-.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) x)) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2) (-.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 1)
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.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 (cos.f64 y) (.f64 z (sin.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 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) 0) (*.f64 z (sin.f64 y)))
(.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1)
(.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(.f64 1 (+.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)))) 1/4) (.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/4) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2))
(.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)) (/.f64 1 (-.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)) (/.f64 1 (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 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) 1/4)) (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
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(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 (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 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) 1)
(.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1)
(.f64 1 (sqrt.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)))) 1/4) (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/4))
(.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 1 1/2) (sqrt.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) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (sqrt.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 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (sqrt.f64 (-.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) (sqrt.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 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))) (sqrt.f64 (-.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (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 (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))) (cbrt.f64 (-.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) (sqrt.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 1/2) (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))) (sqrt.f64 (-.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) 1) (sqrt.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 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) 1) (sqrt.f64 (-.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))) (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))) (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))) (cbrt.f64 (-.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.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)))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.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)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(hypot.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (sqrt.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))))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))

Outputs
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (.f64 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) 2))) (.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (+.f64 (cos.f64 y) x) (.f64 (+.f64 (/.f64 1/64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) 2)) (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) (pow.f64 x 4))) (*.f64 z (sin.f64 y)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (-.f64 (/.f64 1/16 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (+.f64 (/.f64 1/16 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)))) 2)))) (pow.f64 x 4) x) (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/16 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (-.f64 (-.f64 (/.f64 1/64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (/.f64 1/16 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)))) 2))) (pow.f64 x 4) x) (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (.f64 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) 2))) (.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (+.f64 (cos.f64 y) x) (.f64 (+.f64 (/.f64 1/64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) 2)) (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) (pow.f64 x 4))) (*.f64 z (sin.f64 y)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (-.f64 (/.f64 1/16 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (+.f64 (/.f64 1/16 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)))) 2)))) (pow.f64 x 4) x) (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/16 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (-.f64 (-.f64 (/.f64 1/64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)) (/.f64 1/16 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3)))) 2))) (pow.f64 x 4) x) (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.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 x (*.f64 y z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (.f64 -1 (+.f64 1/2 (pow.f64 (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) x)))
(+.f64 1 (fma.f64 -1 (.f64 y z) (fma.f64 (.f64 y y) (fma.f64 1/4 (/.f64 (.f64 z z) (+.f64 x 1)) (neg.f64 (+.f64 1/2 (pow.f64 (.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1)))) z) 2)))) x)))
(+.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 1/4 (/.f64 (.f64 z z) (+.f64 x 1))) (+.f64 1/2 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (.f64 z -1/2)) 2))) x) (-.f64 1 (.f64 y z)))
(+.f64 (fma.f64 (.f64 y y) (fma.f64 1/4 (.f64 (/.f64 z (+.f64 x 1)) z) (-.f64 -1/2 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (.f64 z -1/2)) 2))) x) (-.f64 1 (*.f64 y z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (+.f64 (.f64 -1/6 z) (.f64 1/2 (/.f64 (.f64 z (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (.f64 1/2 (/.f64 (.f64 z (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (.f64 -1 (+.f64 1/2 (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) x))))
(+.f64 1 (fma.f64 -1 (.f64 y z) (fma.f64 (pow.f64 y 3) (fma.f64 -1 (fma.f64 -1/6 z (.f64 1/2 (/.f64 z (/.f64 (+.f64 x 1) (+.f64 1/2 (pow.f64 (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1)))) z) 2)))))) (.f64 1/2 (/.f64 z (/.f64 (+.f64 x 1) (+.f64 1/2 (pow.f64 (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1)))) z) 2)))))) (fma.f64 (.f64 y y) (fma.f64 1/4 (/.f64 (.f64 z z) (+.f64 x 1)) (neg.f64 (+.f64 1/2 (pow.f64 (.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 x 1)))) z) 2)))) x))))
(+.f64 (fma.f64 (pow.f64 y 3) (-.f64 (.f64 1/2 (.f64 (/.f64 z (+.f64 x 1)) (+.f64 1/2 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (.f64 z -1/2)) 2)))) (fma.f64 1/2 (.f64 (/.f64 z (+.f64 x 1)) (+.f64 1/2 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (.f64 z -1/2)) 2))) (.f64 z -1/6))) (fma.f64 (.f64 y y) (-.f64 (.f64 1/4 (/.f64 (.f64 z z) (+.f64 x 1))) (+.f64 1/2 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (.f64 z -1/2)) 2))) x)) (-.f64 1 (.f64 y z)))
(+.f64 (fma.f64 (pow.f64 y 3) (-.f64 (.f64 1/2 (.f64 (/.f64 z (+.f64 x 1)) (+.f64 1/2 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (.f64 z -1/2)) 2)))) (fma.f64 1/2 (.f64 (/.f64 z (+.f64 x 1)) (+.f64 1/2 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (.f64 z -1/2)) 2))) (.f64 z -1/6))) (fma.f64 (.f64 y y) (fma.f64 1/4 (.f64 (/.f64 z (+.f64 x 1)) z) (-.f64 -1/2 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (.f64 z -1/2)) 2))) x)) (-.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.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 z (sin.f64 y))))
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(.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y))))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (sqrt.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 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3) (pow.f64 x 3))) (sqrt.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 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (sqrt.f64 (-.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (sqrt.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2))) (sqrt.f64 (-.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
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(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))))) (/.f64 (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))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3) (pow.f64 x 3)))))
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(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2))) (cbrt.f64 (-.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)))) (sqrt.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 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3) (pow.f64 x 3))) (sqrt.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 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2)))) (sqrt.f64 (-.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (sqrt.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2))) (sqrt.f64 (-.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) 1) (sqrt.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 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3) (pow.f64 x 3))) (sqrt.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 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) 1) (sqrt.f64 (-.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (sqrt.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2))) (sqrt.f64 (-.f64 (fma.f64 z (sin.f64 y) 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))) (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))) (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 (sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))))) (/.f64 (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))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3) (pow.f64 x 3)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))) (cbrt.f64 (-.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 2))) (/.f64 (cbrt.f64 (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y))))))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y))))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2))) (cbrt.f64 (-.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/2)
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/4) 2)
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 3)
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 3/2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3/2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 3/2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(hypot.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(exp.f64 (.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1/2))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) 1))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x)))

eval309.0ms (3.2%)

Compiler: Compiled 20725 to 7032 computations (66.1% saved)

prune207.0ms (2.1%)

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	734	3	737
Fresh	2	10	12
Picked	1	0	1
Done	0	10	10
Total	737	23	760

Error

Counts

760 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	53.9b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2)
✓	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (sin.f64 y))))
	28.3b	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	32.1b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	41.3b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
	17.7b	(-.f64 x (*.f64 z (sin.f64 y)))
	48.5b	(+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
✓	15.3b	(+.f64 (cos.f64 y) x)
✓	20.6b	(+.f64 1 (fma.f64 y (neg.f64 z) x))
✓	15.3b	(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
	46.4b	(+.f64 1 (-.f64 (cos.f64 y) 1))
✓	20.6b	(+.f64 1 (-.f64 x (*.f64 y z)))
	32.4b	(+.f64 1 (-.f64 x 1))
	52.6b	(+.f64 1 (.f64 (.f64 y y) -1/2))
	47.0b	(+.f64 1 (*.f64 z (neg.f64 y)))
✓	20.7b	(+.f64 1 x)
✓	48.5b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	57.5b	(*.f64 y (neg.f64 z))
✓	46.4b	(cos.f64 y)
	57.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3))
✓	46.4b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
	51.6b	(cbrt.f64 1)
	32.3b	x

Compiler

Compiled 224 to 166 computations (25.9% saved)

regimes66.0ms (0.7%)

Counts

33 → 1

Calls

Call 1

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

15.0ms	z
15.0ms	x
15.0ms	y
14.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 299 to 126 computations (57.9% saved)

regimes52.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	x
12.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms	y
11.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 177 to 91 computations (48.6% saved)

regimes104.0ms (1.1%)

Counts

17 → 3

Calls

Call 1

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

39.0ms	y
32.0ms	x
31.0ms	z

Results

Error	Segments	Branch
1.7b	3	`x`
4.5b	5	`y`
3.9b	3	`z`

Compiler

Compiled 106 to 61 computations (42.5% saved)

bsearch71.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.11851891741800358	0.19310938520306747
52.0ms	-1049.906938725196	-7.1420584560014675e-9

Results

35.0ms	71×	body	1024	valid
24.0ms	131×	body	256	valid
6.0ms	19×	body	512	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 312 to 223 computations (28.5% saved)

regimes109.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	x
36.0ms	y
31.0ms	z

Results

Error	Segments	Branch
9.6b	5	`x`
4.5b	5	`y`
3.9b	3	`z`

Compiler

Compiled 99 to 60 computations (39.4% saved)

bsearch63.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	5604115012.753918	160434514267311900.0
34.0ms	-2.338727476097481e+34	-758505945804491500.0

Results

40.0ms	258×	body	256	valid
16.0ms	34×	body	1024	valid
3.0ms	12×	body	512	valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

regimes90.0ms (0.9%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
31.0ms	y
25.0ms	z

Results

Error	Segments	Branch
12.7b	5	`x`
8.6b	5	`y`
10.7b	3	`z`

Compiler

Compiled 78 to 50 computations (35.9% saved)

bsearch117.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	9.920014013940309e+22	5.863913380243685e+23
23.0ms	-2.8532352376507255e+38	-1.16974773070806e+35
49.0ms	-8.320354137096472e+217	-2.9765314656273872e+212
28.0ms	-1.04783013530687e+285	-4.5622572165205244e+284

Results

64.0ms	144×	body	1024	valid
48.0ms	304×	body	256	valid

Compiler

Compiled 522 to 391 computations (25.1% saved)

regimes286.0ms (3%)

Counts

11 → 3

Calls

Call 1

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

139.0ms	x
128.0ms	z
17.0ms	y

Results

Error	Segments	Branch
14.1b	3	`x`
9.9b	3	`y`
12.0b	3	`z`

Compiler

Compiled 67 to 44 computations (34.3% saved)

bsearch59.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	9.920014013940309e+22	5.863913380243685e+23
24.0ms	-2.8532352376507255e+38	-1.16974773070806e+35

Results

56.0ms

224×

body

256

valid

Compiler

Compiled 284 to 209 computations (26.4% saved)

regimes92.0ms (1%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	z
21.0ms	x
17.0ms	y

Results

Error	Segments	Branch
14.4b	4	`x`
15.4b	3	`y`
17.5b	3	`z`

Compiler

Compiled 63 to 43 computations (31.7% saved)

bsearch77.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
16.0ms	3.3011598665000483e-12	5.256915075824267e-12
33.0ms	-6.385787027123314e-247	-2.819156416611027e-251
28.0ms	-1.2307537364244986e+134	-5.335360942724038e+124

Results

41.0ms	258×	body	256	valid
27.0ms	59×	body	1024	valid
5.0ms	19×	body	512	valid

Compiler

Compiled 350 to 269 computations (23.1% saved)

regimes47.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
15.0ms	y
14.0ms	z

Results

Error	Segments	Branch
16.7b	3	`x`
15.4b	3	`y`
17.5b	3	`z`

Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	9.920014013940309e+22	5.863913380243685e+23
25.0ms	-2.8532352376507255e+38	-1.16974773070806e+35

Results

39.0ms

224×

body

256

valid

Compiler

Compiled 270 to 209 computations (22.6% saved)

regimes33.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
13.0ms	x
4.0ms	z

Results

Error	Segments	Branch
16.8b	3	`x`
19.3b	3	`y`
20.7b	1	`z`

Compiler

Compiled 41 to 29 computations (29.3% saved)

bsearch71.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	6.6126474804799054e-80	3.462788106671088e-79
44.0ms	-1.207638552733237e-14	-2.3730440990701968e-29

Results

33.0ms	60×	body	1024	valid
25.0ms	166×	body	256	valid
9.0ms	30×	body	512	valid

Compiler

Compiled 290 to 237 computations (18.3% saved)

regimes12.0ms (0.1%)

Accuracy

Total -41.7b remaining (-201.1%)

Threshold costs -41.7b (-201.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 1 x)

Calls

3 calls:

4.0ms	y
4.0ms	z
4.0ms	x

Results

Error	Segments	Branch
20.7b	1	`x`
20.7b	1	`y`
20.7b	1	`z`

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
18×	`*-commutative`
12×	`cancel-sign-sub-inv`
10×	`neg-mul-1`
10×	`if-if-or-not`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	491
1	112	487
2	130	487
3	138	487
4	142	487
5	143	487

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 3422735716801577/18014398509481984) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -220000000000000000996917743976448) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 38000000000000000) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 y -470000000000000022372476090784522920731148569321834580676851646131266996869435441655755803010980420571849843476125355355594780416284000770976250088395088142040243898590836243690229447759428744215567199855829991897067218221686419881499965700610881815266050882705586697149097184606552064) (+.f64 (cos.f64 y) x) (if (<=.f64 y -82000000000000004818368919720279533376843550109110594948885009956734148498717809426400473354308354397769877409654517483793342517469786074306897854992930981676063925354265993932292741529736200428421450690282729544613888) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -120000000000000007304085773727301632) (+.f64 (cos.f64 y) x) (if (<=.f64 y 99999999999999991611392) (+.f64 1 (-.f64 x (.f64 y z))) (+.f64 (cos.f64 y) x)))))
(if (<=.f64 y -120000000000000007304085773727301632) (+.f64 (cos.f64 y) x) (if (<=.f64 y 99999999999999991611392) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -5000000000000000298915391230258075925874645126169045354368179749161004102875565468155280170533300701722840996122161770682942226432) x (if (<=.f64 x -3148880786512287/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (+.f64 1 (-.f64 x (*.f64 y z))) (if (<=.f64 x 4704172149284445/1237940039285380274899124224) (cos.f64 y) (+.f64 1 x))))
(if (<=.f64 y -5600000000000000119496407222759456768) (+.f64 1 x) (if (<=.f64 y 150000000000000004194304) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 1 x)))
(if (<=.f64 x -237684487542793/19807040628566084398385987584) (+.f64 1 x) (if (<=.f64 x 5673715564164917/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (+.f64 1 (*.f64 z (neg.f64 y))) (+.f64 1 x)))
(+.f64 1 x)
x

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(if (<=.f64 x -1) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 x 3422735716801577/18014398509481984) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 x -1) (not (<=.f64 x 3422735716801577/18014398509481984))) (-.f64 x (.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))
(if (<=.f64 z -220000000000000000996917743976448) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 38000000000000000) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -220000000000000000996917743976448) (not (<=.f64 z 38000000000000000))) (-.f64 x (*.f64 (sin.f64 y) z)) (+.f64 x (cos.f64 y)))
(if (<=.f64 y -470000000000000022372476090784522920731148569321834580676851646131266996869435441655755803010980420571849843476125355355594780416284000770976250088395088142040243898590836243690229447759428744215567199855829991897067218221686419881499965700610881815266050882705586697149097184606552064) (+.f64 (cos.f64 y) x) (if (<=.f64 y -82000000000000004818368919720279533376843550109110594948885009956734148498717809426400473354308354397769877409654517483793342517469786074306897854992930981676063925354265993932292741529736200428421450690282729544613888) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -120000000000000007304085773727301632) (+.f64 (cos.f64 y) x) (if (<=.f64 y 99999999999999991611392) (+.f64 1 (-.f64 x (.f64 y z))) (+.f64 (cos.f64 y) x)))))
(if (<=.f64 y -470000000000000022372476090784522920731148569321834580676851646131266996869435441655755803010980420571849843476125355355594780416284000770976250088395088142040243898590836243690229447759428744215567199855829991897067218221686419881499965700610881815266050882705586697149097184606552064) (+.f64 x (cos.f64 y)) (if (<=.f64 y -82000000000000004818368919720279533376843550109110594948885009956734148498717809426400473354308354397769877409654517483793342517469786074306897854992930981676063925354265993932292741529736200428421450690282729544613888) (.f64 (sin.f64 y) (neg.f64 z)) (if (or (<=.f64 y -120000000000000007304085773727301632) (not (<=.f64 y 99999999999999991611392))) (+.f64 x (cos.f64 y)) (+.f64 1 (-.f64 x (.f64 y z))))))
(if (<=.f64 y -470000000000000022372476090784522920731148569321834580676851646131266996869435441655755803010980420571849843476125355355594780416284000770976250088395088142040243898590836243690229447759428744215567199855829991897067218221686419881499965700610881815266050882705586697149097184606552064) (+.f64 x (cos.f64 y)) (if (<=.f64 y -82000000000000004818368919720279533376843550109110594948885009956734148498717809426400473354308354397769877409654517483793342517469786074306897854992930981676063925354265993932292741529736200428421450690282729544613888) (.f64 z (neg.f64 (sin.f64 y))) (if (or (<=.f64 y -120000000000000007304085773727301632) (not (<=.f64 y 99999999999999991611392))) (+.f64 x (cos.f64 y)) (+.f64 1 (-.f64 x (.f64 y z))))))
(if (<=.f64 y -120000000000000007304085773727301632) (+.f64 (cos.f64 y) x) (if (<=.f64 y 99999999999999991611392) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -120000000000000007304085773727301632) (not (<=.f64 y 99999999999999991611392))) (+.f64 x (cos.f64 y)) (+.f64 1 (-.f64 x (*.f64 y z))))
(if (<=.f64 x -5000000000000000298915391230258075925874645126169045354368179749161004102875565468155280170533300701722840996122161770682942226432) x (if (<=.f64 x -3148880786512287/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (+.f64 1 (-.f64 x (*.f64 y z))) (if (<=.f64 x 4704172149284445/1237940039285380274899124224) (cos.f64 y) (+.f64 1 x))))
(if (<=.f64 x -5000000000000000298915391230258075925874645126169045354368179749161004102875565468155280170533300701722840996122161770682942226432) x (if (<=.f64 x -3148880786512287/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (+.f64 1 (-.f64 x (*.f64 y z))) (if (<=.f64 x 4704172149284445/1237940039285380274899124224) (cos.f64 y) (+.f64 x 1))))
(if (<=.f64 y -5600000000000000119496407222759456768) (+.f64 1 x) (if (<=.f64 y 150000000000000004194304) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 1 x)))
(if (<=.f64 y -5600000000000000119496407222759456768) (+.f64 x 1) (if (<=.f64 y 150000000000000004194304) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 x 1)))
(if (<=.f64 x -237684487542793/19807040628566084398385987584) (+.f64 1 x) (if (<=.f64 x 5673715564164917/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (+.f64 1 (*.f64 z (neg.f64 y))) (+.f64 1 x)))
(if (<=.f64 x -237684487542793/19807040628566084398385987584) (+.f64 x 1) (if (<=.f64 x 5673715564164917/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (+.f64 1 (*.f64 z (neg.f64 y))) (+.f64 x 1)))
(if (<=.f64 x -237684487542793/19807040628566084398385987584) (+.f64 x 1) (if (<=.f64 x 5673715564164917/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(+.f64 1 x)
(+.f64 x 1)
x

Compiler

Compiled 218 to 147 computations (32.6% saved)

soundness62.0ms (0.6%)

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)

end403.0ms (4.2%)

Compiler: Compiled 188 to 93 computations (50.5% saved)