Details

analyze222.0ms (3%)

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)

sample2.3s (30.8%)

Results

1.3s	6297×	body	256	valid
752.0ms	1299×	body	1024	valid
196.0ms	655×	body	512	valid
30.0ms	5×	body	2048	valid

Bogosity

preprocess78.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	59	108
2	142	108
3	248	108
4	440	108
5	787	108
6	1691	108
7	2595	108
8	3620	108
9	4098	108
10	4130	108
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite113.0ms (1.5%)

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	54
1	240	54
2	3370	54

Stop Event

1×	node limit

Counts

4 → 293

Calls

Call 1

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

simplify205.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1048×	`associate-r`
938×	`associate-l`
750×	`+-commutative`
708×	`associate-/l*`
632×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	751	19727
1	2172	18593

Stop Event

1×	node limit

Counts

361 → 439

Calls

Call 1

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

eval220.0ms (3%)

Compiler: Compiled 12409 to 3522 computations (71.6% saved)

prune104.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	430	9	439
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	430	10	440

Error

Counts

440 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
▶	29.9b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	13.3b	(+.f64 (cos.f64 y) x)
▶	20.7b	(+.f64 x 1)
	22.0b	(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
	49.7b	(*.f64 z (neg.f64 (sin.f64 y)))
	34.1b	x

Compiler

Compiled 188 to 137 computations (27.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series2.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite115.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`associate-*r/`
1114×	`distribute-lft-in`
1054×	`associate-*l/`
460×	`associate-+l+`
288×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	277	52
2	3598	52

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (expm1.f64 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (expm1.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (expm1.f64 (sin.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (expm1.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (expm1.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1)) (+.f64 (expm1.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1)) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) 1) (+.f64 (expm1.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) 1) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (.f64 (exp.f64 (sin.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 sqrt.f64 (pow.f64 (.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))
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simplify121.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1060×	`fma-def`
842×	`associate-+l+`
798×	`associate-r`
780×	`associate-+r+`
748×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	606	14441
1	1693	13261

Stop Event

1×	node limit

Counts

325 → 340

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
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(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) 3)) (.f64 (+.f64 (.f64 (sin.f64 y) z) (+.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 (sin.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2))) (neg.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.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 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) 1) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (.f64 1 (-.f64 (.f64 x x) (.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z))))) (+.f64 (-.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (sin.f64 y) (neg.f64 z))))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) 3))) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z))) (.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 3))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (sin.f64 y) (neg.f64 z))) (.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)))) (neg.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)))) (sqrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)))) (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))) 1) (+.f64 (-.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (sin.f64 y) (neg.f64 z)))) 1) (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) 3)) 1) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z))) (.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z))))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (sin.f64 y) (neg.f64 z))) (.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2))) 1) (neg.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z))))) (sqrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))) 2)) (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.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 (sin.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) z) 2))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) 3)) (/.f64 1 (+.f64 (.f64 (sin.f64 y) z) (+.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 (sin.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 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 (sin.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.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 (sin.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) 1) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (.f64 (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.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 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.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)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.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)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(exp.f64 (.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (.f64 1/2 (.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 (fma.f64 1/2 (.f64 y y) y) (.f64 -1/8 (pow.f64 y 4)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 5) -1/15))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 (pow.f64 y 5) -1/15 (.f64 y (.f64 y 1/2)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.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 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
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(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))

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)

rewrite73.0ms (1%)

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)))))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

41 → 52

Calls

Call 1

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

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

localize50.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
✓	0.1b	(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))
✓	0.6b	(cbrt.f64 (sin.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series9.0ms (0.1%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
1.0ms	y	@	0	(cbrt.f64 (sin.f64 y))
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
0.0ms	z	@	inf	(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3))

rewrite136.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`distribute-lft-in`
1090×	`associate-*r/`
974×	`associate-*l/`
460×	`associate-+l+`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	306	52
2	3902	52

Stop Event

1×	node limit

Counts

4 → 239

Calls

Call 1

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

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

simplify230.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1248×	`+-commutative`
886×	`fma-def`
756×	`associate-r`
706×	`associate-+l+`
666×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	576	14013
1	1612	12893
2	7750	12893

Stop Event

1×	node limit

Counts

315 → 320

Calls

Call 1

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

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

eval258.0ms (3.5%)

Compiler: Compiled 18799 to 5163 computations (72.5% saved)

prune142.0ms (1.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	758	6	764
Fresh	2	2	4
Picked	1	0	1
Done	1	4	5
Total	762	12	774

Error

Counts

774 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
	30.1b	(-.f64 (cos.f64 y) (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
✓	29.9b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	29.9b	(-.f64 (cos.f64 y) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
▶	33.5b	(-.f64 (cos.f64 y) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
✓	13.3b	(+.f64 (cos.f64 y) x)
▶	22.0b	(+.f64 x (-.f64 1 (*.f64 y z)))
✓	20.7b	(+.f64 x 1)
▶	49.7b	(*.f64 (sin.f64 y) (neg.f64 z))
▶	42.9b	(cos.f64 y)
	34.1b	x

Compiler

Compiled 187 to 138 computations (26.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series43.0ms (0.6%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
25.0ms	y	@	inf	(log1p.f64 (sin.f64 y))
17.0ms	y	@	-inf	(log1p.f64 (sin.f64 y))
0.0ms	y	@	0	(log1p.f64 (sin.f64 y))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))

rewrite110.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`associate-*r/`
1138×	`distribute-lft-in`
1070×	`associate-*l/`
460×	`associate-+l+`
288×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	278	52
2	3599	52

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

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

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

simplify220.0ms (3%)

Algorithm

1×	egg-herbie

Rules

858×	`associate-r`
796×	`associate-+r+`
788×	`associate-+l+`
758×	`associate-l`
650×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	617	14694
1	1722	13740

Stop Event

1×	node limit

Counts

330 → 346

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(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 (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 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(*.f64 1 (log1p.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log.f64 (+.f64 (sin.f64 y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(+.f64 (sin.f64 y) 0)
(+.f64 1 (+.f64 (sin.f64 y) -1))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(+.f64 -1 (+.f64 (sin.f64 y) 1))
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(-.f64 (+.f64 (sin.f64 y) 2) 2)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (.f64 1 (-.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1)) (+.f64 (sin.f64 y) 2))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1)) (+.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) 1) (+.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(+.f64 (.f64 z (+.f64 (sin.f64 y) 1)) (.f64 z -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(/.f64 (.f64 z (-.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1)) (+.f64 (sin.f64 y) 2))
(/.f64 (.f64 z (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1)) (+.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) z) (+.f64 (sin.f64 y) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) z) (+.f64 (.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 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)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.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)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
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(+.f64 x (.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) 1))
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(+.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 x (.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1)))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.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 (sin.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) 1) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (.f64 (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.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 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.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)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.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)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 2)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(exp.f64 (log.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(exp.f64 (.f64 (log.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))

Outputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(fma.f64 -1/2 (*.f64 y y) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (fma.f64 -1/2 (.f64 y y) y) (.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) y) (fma.f64 1/6 (pow.f64 y 3) (.f64 -1/12 (pow.f64 y 4))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) (*.f64 -1/5040 (pow.f64 y 7)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.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 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (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 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.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 (fma.f64 -1/2 (.f64 y y) x) (-.f64 1 (.f64 y 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 (pow.f64 y 3) z) x))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (fma.f64 1/6 (.f64 (pow.f64 y 3) z) x)) (-.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 y)))) 1)
(log1p.f64 (sin.f64 y))
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(*.f64 1 (log1p.f64 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(log1p.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(log1p.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(log1p.f64 (sin.f64 y))
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(log1p.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(fabs.f64 (log1p.f64 (sin.f64 y)))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(log1p.f64 (sin.f64 y))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(+.f64 1 (+.f64 (sin.f64 y) -1))
(sin.f64 y)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(sin.f64 y)
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(sin.f64 y)
(+.f64 -1 (+.f64 (sin.f64 y) 1))
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) 2) 2)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (sin.f64 y) 2))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) 3)) (/.f64 1 (+.f64 (.f64 (sin.f64 y) z) (+.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 (sin.f64 y) z) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) 3)) (.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (+.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) (pow.f64 (.f64 (sin.f64 y) z) 4)) (.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (pow.f64 (.f64 (sin.f64 y) z) 6)) (.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) z) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 (sin.f64 y) z) 4)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (pow.f64 (.f64 (sin.f64 y) z) 6)) (.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (pow.f64 (.f64 (sin.f64 y) z) 6)) (.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.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 (sin.f64 y) z) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) 3)) (.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (+.f64 (pow.f64 (.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) 1) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) z) 2)) (.f64 (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (*.f64 (sin.f64 y) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (*.f64 (sin.f64 y) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (*.f64 (sin.f64 y) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))))
(pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 1)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(pow.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 2)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 3)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(pow.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 3) 1/3)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 2))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) 2))
(fabs.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))))
(log.f64 (exp.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 3))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(exp.f64 (.f64 (log.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))

localize8.0ms (0.1%)

Compiler: Compiled 22 to 10 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
	0.0b	(sin.f64 y)
✓	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	@	0	(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms	y	@	inf	(*.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))

rewrite52.0ms (0.7%)

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)))))))

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(exp.f64 (sin.f64 y))
✓	0.1b	(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
✓	3.6b	(log.f64 (exp.f64 (sin.f64 y)))

Compiler

Compiled 31 to 9 computations (71% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`add-sqr-sqrt`
1410×	`*-un-lft-identity`
1296×	`add-cube-cbrt`
1276×	`add-cbrt-cube`
1260×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	165	25
2	1775	25

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1122×	`unswap-sqr`
838×	`fma-def`
804×	`associate-*r/`
666×	`associate-*l/`
480×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1089
1	324	1065
2	1364	927
3	5266	927

Stop Event

1×	node limit

Counts

91 → 87

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(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))
1
(+.f64 1 y)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 0 (sin.f64 y))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.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)
(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)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(*.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 1 (exp.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2) (cbrt.f64 (exp.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (sin.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) 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))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.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) 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 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 (+.f64 y 1) (.f64 1/2 (.f64 y y)))
(+.f64 1 (fma.f64 1/2 (*.f64 y y) y))
(+.f64 y (fma.f64 y (*.f64 y 1/2) 1))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 y 1) (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 y (+.f64 1 (fma.f64 -1/8 (pow.f64 y 4) (.f64 y (.f64 y 1/2)))))
(+.f64 1 (fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(-.f64 (+.f64 1 (exp.f64 (sin.f64 y))) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 1 (exp.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2) (cbrt.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 1) (sin.f64 y))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))
(+.f64 1 (expm1.f64 (sin.f64 y)))
(+.f64 (exp.f64 (sin.f64 y)) 0)
(exp.f64 (sin.f64 y))

eval183.0ms (2.5%)

Compiler: Compiled 11305 to 3702 computations (67.3% saved)

prune95.0ms (1.3%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	520	3	523
Fresh	2	1	3
Picked	1	0	1
Done	0	8	8
Total	523	12	535

Error

Counts

535 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (.f64 z (+.f64 (sin.f64 y) 1)) (.f64 z -1)))
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
▶	33.4b	(-.f64 (cos.f64 y) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
✓	29.9b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	13.3b	(+.f64 (cos.f64 y) x)
✓	22.0b	(+.f64 x (-.f64 1 (*.f64 y z)))
✓	20.7b	(+.f64 x 1)
✓	49.7b	(*.f64 (sin.f64 y) (neg.f64 z))
▶	58.9b	(*.f64 y (neg.f64 z))
✓	42.9b	(cos.f64 y)
	34.1b	x

Compiler

Compiled 115 to 84 computations (27% saved)

localize6.0ms (0.1%)

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1))
✓	0.3b	(+.f64 1 (sin.f64 y))
✓	3.6b	(-.f64 (+.f64 1 (sin.f64 y)) 1)

Compiler

Compiled 39 to 23 computations (41% saved)

series21.0ms (0.3%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	y	@	0	(*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1))
0.0ms	y	@	0	(-.f64 (+.f64 1 (sin.f64 y)) 1)
0.0ms	y	@	0	(+.f64 1 (sin.f64 y))
0.0ms	y	@	inf	(*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1))
0.0ms	y	@	inf	(+.f64 1 (sin.f64 y))

rewrite114.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`associate-*r/`
830×	`*-commutative`
826×	`associate-*l/`
680×	`distribute-lft-in`
638×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	211	27
2	2833	27

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

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

Outputs

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

simplify147.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1044×	`+-commutative`
1030×	`associate-/l*`
716×	`associate-r`
654×	`distribute-lft-in`
636×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	562	10083
1	1589	9501
2	7908	9501

Stop Event

1×	node limit

Counts

261 → 370

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 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 1 (+.f64 (sin.f64 y) -1))
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 0)
(+.f64 0 (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) -1) 1)
(+.f64 -1 (+.f64 1 (sin.f64 y)))
(*.f64 1 (sin.f64 y))
(*.f64 (sin.f64 y) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (/.f64 1 (+.f64 (sin.f64 y) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (sin.f64 y)))))
(.f64 (/.f64 1 (+.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))
(.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (sin.f64 y))
(.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 2))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (+.f64 (+.f64 1 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (*.f64 (+.f64 (sin.f64 y) 2) (+.f64 (sin.f64 y) 2)))) (-.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) 1))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 3) (pow.f64 (+.f64 (sin.f64 y) 2) 3))) (+.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (*.f64 (+.f64 (sin.f64 y) 2) (-.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)))))
(/.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))))
(/.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) 2))
(/.f64 (+.f64 (sin.f64 y) 2) (/.f64 (+.f64 (sin.f64 y) 2) (sin.f64 y)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) -1))))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (/.f64 (+.f64 (sin.f64 y) 2) (sqrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (cbrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (/.f64 (+.f64 (sin.f64 y) 2) (cbrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 1 (.f64 (+.f64 1 (sin.f64 y)) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1))) (+.f64 (-.f64 1 (sin.f64 y)) 1))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) 1) (.f64 (+.f64 (sin.f64 y) 2) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3)) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3)) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) -1))) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 3) 1) (.f64 (+.f64 (sin.f64 y) 2) (+.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) 3) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)) (+.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) 3) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 1 (.f64 (+.f64 1 (sin.f64 y)) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(/.f64 (*.f64 (+.f64 (sin.f64 y) 2) (neg.f64 (sin.f64 y))) (neg.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1)))) (+.f64 (-.f64 1 (sin.f64 y)) 1))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3))) (+.f64 1 (.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (.f64 (-.f64 1 (.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1))) 1) (+.f64 (-.f64 1 (sin.f64 y)) 1))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) -1) 3)) 1) (+.f64 1 (.f64 (+.f64 (sin.f64 y) -1) (-.f64 (+.f64 (sin.f64 y) -1) 1))))
(/.f64 (.f64 (.f64 (+.f64 (sin.f64 y) 2) (neg.f64 (sin.f64 y))) 1) (neg.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) 1) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) 1) (/.f64 1 (+.f64 (sin.f64 y) 2))) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 2)))
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(/.f64 (.f64 (.f64 (+.f64 (sin.f64 y) 2) (neg.f64 (sin.f64 y))) z) (neg.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) 1) z) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (.f64 (.f64 z (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (.f64 (.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) 1) (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (*.f64 z (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (.f64 z (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2)))) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) 1) (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (*.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (/.f64 (.f64 z (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(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)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 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
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y 1))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) 1))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) 1))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.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 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 (.f64 -1/6 (pow.f64 y 3)) z (.f64 z (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 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(+.f64 1 (+.f64 (sin.f64 y) -1))
(sin.f64 y)
(+.f64 (+.f64 1 (sin.f64 y)) -1)
(sin.f64 y)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 (+.f64 (sin.f64 y) -1) 1)
(sin.f64 y)
(+.f64 -1 (+.f64 1 (sin.f64 y)))
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (/.f64 1 (+.f64 (sin.f64 y) 2)))
(sin.f64 y)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (/.f64 1 (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (sin.f64 y) (+.f64 2 (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) 1))
(sin.f64 y)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (sin.f64 y)))))
(sin.f64 y)
(.f64 (/.f64 1 (+.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))
(sin.f64 y)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (/.f64 1 (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (sin.f64 y) (+.f64 2 (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2)))
(.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (sin.f64 y))
(sin.f64 y)
(.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 2))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) 1) 2))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2))) (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) 1) 2)))
(.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (+.f64 (+.f64 1 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) 1) 3))) (+.f64 1 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))
(/.f64 (.f64 (sin.f64 y) (.f64 (+.f64 (sin.f64 y) 2) (+.f64 1 (fma.f64 (sin.f64 y) (sin.f64 y) (sin.f64 y))))) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (*.f64 (+.f64 (sin.f64 y) 2) (+.f64 (sin.f64 y) 2)))) (-.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (sin.f64 y) (+.f64 (pow.f64 (sin.f64 y) 2) -1))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 4) (.f64 (+.f64 (sin.f64 y) 2) (+.f64 (sin.f64 y) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 4) (*.f64 (+.f64 (sin.f64 y) 2) (+.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) (fma.f64 (sin.f64 y) (sin.f64 y) -1))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 3) (pow.f64 (+.f64 (sin.f64 y) 2) 3))) (+.f64 (.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (*.f64 (+.f64 (sin.f64 y) 2) (-.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 2) 3) (pow.f64 (+.f64 (sin.f64 y) 2) 3))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 4) (.f64 (+.f64 (sin.f64 y) 2) (-.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 3) (pow.f64 (+.f64 (sin.f64 y) 1) 6))) (fma.f64 (+.f64 (sin.f64 y) 2) (+.f64 (sin.f64 y) (-.f64 2 (pow.f64 (+.f64 (sin.f64 y) 1) 2))) (pow.f64 (+.f64 (sin.f64 y) 1) 4)))
(/.f64 1 (/.f64 1 (sin.f64 y)))
(sin.f64 y)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (/.f64 1 (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (sin.f64 y) (+.f64 2 (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2)))
(/.f64 (sin.f64 y) 1)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) 2))
(sin.f64 y)
(/.f64 (+.f64 (sin.f64 y) 2) (/.f64 (+.f64 (sin.f64 y) 2) (sin.f64 y)))
(sin.f64 y)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (/.f64 1 (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (sin.f64 y) (+.f64 2 (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (/.f64 1 (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (sin.f64 y) (+.f64 2 (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)) (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2)))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (/.f64 (+.f64 (sin.f64 y) 2) (sqrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) 2)) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) 2)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3))) (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)))) (+.f64 (sin.f64 y) (+.f64 2 (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)))) (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3))) (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)))) (+.f64 (sin.f64 y) (+.f64 2 (pow.f64 (+.f64 (sin.f64 y) 1) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) 1) 3)))) (+.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) 1) 2)))
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(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(fabs.f64 (*.f64 (sin.f64 y) z))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (.f64 z (+.f64 (sin.f64 y) 1)) (.f64 z -1)))
✓	0.1b	(*.f64 z (+.f64 (sin.f64 y) 1))
✓	0.3b	(+.f64 (sin.f64 y) 1)
✓	3.3b	(+.f64 (.f64 z (+.f64 (sin.f64 y) 1)) (.f64 z -1))

Compiler

Compiled 54 to 28 computations (48.1% saved)

series5.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite143.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`associate-/r*`
988×	`associate-+l+`
456×	`associate-+r+`
450×	`+-commutative`
380×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	90
1	359	74
2	5373	62

Stop Event

1×	node limit

Counts

4 → 443

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (sin.f64 y) z) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (sin.f64 y) z) (-.f64 z (fma.f64 1 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (sin.f64 y) z) (-.f64 z (fma.f64 z 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (sin.f64 y) z) (-.f64 z (fma.f64 z -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (sin.f64 y) z) (-.f64 z (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (sin.f64 y) z) (-.f64 z (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (sin.f64 y)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (sin.f64 y)) (-.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (sin.f64 y)) (fma.f64 1 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (sin.f64 y)) (fma.f64 z 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (sin.f64 y)) (fma.f64 z -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (fma.f64 z (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (neg.f64 (fma.f64 z (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (-.f64 1 (fma.f64 1 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) (-.f64 1 (fma.f64 z 1 z)))))) (#(struct:change 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(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 (neg.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.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 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (.f64 z 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simplify213.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1428×	`+-commutative`
806×	`associate-r`
740×	`associate-l`
654×	`associate-/r*`
652×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	996	25627
1	2867	24873

Stop Event

1×	node limit

Counts

539 → 737

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(+.f64 (*.f64 -1 z) z)
(+.f64 (.f64 y z) (+.f64 (.f64 -1 z) z))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1 z) z)))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 -1 z) (+.f64 z (.f64 1/120 (.f64 (pow.f64 y 5) z))))))
(+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z))
1
(+.f64 1 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
z
(+.f64 (*.f64 y z) z)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 y 3) z)) z))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 z (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(-.f64 (cos.f64 y) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 1 x) (+.f64 (*.f64 -1 z) z))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x)) (+.f64 (*.f64 -1 z) z))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) x))) (+.f64 (.f64 -1 z) z))
(-.f64 (+.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 z) z))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (.f64 -1 z) (.f64 (+.f64 1 (sin.f64 y)) z)))
(+.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))
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(.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2)))
(/.f64 1 (/.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 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))))
(/.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 1)
(/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
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(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (.f64 z z)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.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 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) 3)) (-.f64 (+.f64 (.f64 x x) (.f64 (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))) (.f64 x (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) 3) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (+.f64 (.f64 z z) (*.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) z))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (.f64 z (sin.f64 y))) (.f64 (-.f64 x (cos.f64 y)) (pow.f64 (.f64 z (sin.f64 y)) 2))) (.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (fma.f64 z (sin.f64 y) z)))) (.f64 (-.f64 x (cos.f64 y)) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)))) (.f64 (-.f64 x (cos.f64 y)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (fma.f64 z (sin.f64 y) z)))))
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(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (.f64 z (sin.f64 y))) (.f64 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (pow.f64 (.f64 z (sin.f64 y)) 2))) (.f64 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y))))
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(/.f64 (neg.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.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 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (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)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 2))
(/.f64 (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2) (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2)) (/.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2) (-.f64 (pow.f64 (+.f64 x (cos.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 (/.f64 (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2) (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.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)))))))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (.f64 z z)) 1) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (.f64 z z)) (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 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (.f64 z z)) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 2))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (.f64 z z)) (pow.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (.f64 z z)) (pow.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2)) (/.f64 1 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (.f64 z z)) (-.f64 (pow.f64 (+.f64 x (cos.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 (/.f64 (-.f64 (.f64 (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (fma.f64 z (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (.f64 z z)) (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y))))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (.f64 z (sin.f64 y))) (.f64 (-.f64 x (cos.f64 y)) (pow.f64 (.f64 z (sin.f64 y)) 2))) (-.f64 x (cos.f64 y))) (.f64 z (sin.f64 y)))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (fma.f64 z (sin.f64 y) z)))) (.f64 (-.f64 x (cos.f64 y)) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)))) (-.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (.f64 z (sin.f64 y))) (.f64 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (pow.f64 (.f64 z (sin.f64 y)) 2))) (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (fma.f64 z (sin.f64 y) z)))) (.f64 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)))) (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (fma.f64 z (sin.f64 y) z))))
(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (.f64 z (sin.f64 y))) (.f64 (-.f64 x (cos.f64 y)) (pow.f64 (.f64 z (sin.f64 y)) 2))) (-.f64 x (cos.f64 y))) (.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (fma.f64 z (sin.f64 y) z)))) (.f64 (-.f64 x (cos.f64 y)) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)))) (-.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (.f64 z (sin.f64 y))) (.f64 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (pow.f64 (.f64 z (sin.f64 y)) 2))) (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (fma.f64 z (sin.f64 y) z)))) (.f64 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)))) (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (.f64 z (fma.f64 z (sin.f64 y) z))))
(pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 2)
(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))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(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 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 (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))

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

eval330.0ms (4.4%)

Compiler: Compiled 27390 to 10957 computations (60% saved)

prune279.0ms (3.7%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1132	2	1134
Fresh	0	1	1
Picked	1	0	1
Done	1	9	10
Total	1134	12	1146

Error

Counts

1146 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
	29.9b	(-.f64 (cos.f64 y) (/.f64 z (/.f64 1 (sin.f64 y))))
✓	29.9b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	13.3b	(+.f64 (cos.f64 y) x)
✓	22.0b	(+.f64 x (-.f64 1 (*.f64 y z)))
✓	20.7b	(+.f64 x 1)
	52.9b	(.f64 (+.f64 1 (.f64 -1 (+.f64 1 (sin.f64 y)))) z)
✓	49.7b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	58.9b	(*.f64 y (neg.f64 z))
✓	42.9b	(cos.f64 y)
	34.1b	x

Compiler

Compiled 108 to 80 computations (25.9% saved)

regimes47.0ms (0.6%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	x
11.0ms	y
11.0ms	z
10.0ms	(-.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 190 to 89 computations (53.2% saved)

regimes114.0ms (1.5%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	y
26.0ms	z
19.0ms	x

Results

Error	Segments	Branch
4.6b	3	`x`
5.4b	9	`y`
8.1b	3	`z`

Compiler

Compiled 81 to 44 computations (45.7% saved)

bsearch68.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	8.816799083659881e-17	3.0911679951581852e-15
41.0ms	-5.14894606328232e-7	-4.919072707266852e-23

Results

28.0ms	175×	body	256	valid
27.0ms	63×	body	1024	valid
9.0ms	34×	body	512	valid

Compiler

Compiled 341 to 251 computations (26.4% saved)

regimes70.0ms (0.9%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	y
23.0ms	z
17.0ms	x

Results

Error	Segments	Branch
11.9b	3	`x`
8.5b	5	`y`
8.3b	3	`z`

Compiler

Compiled 65 to 38 computations (41.5% saved)

bsearch57.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	2.352517841340619e+200	8.889507135347611e+204
29.0ms	-1.5525896168654108e+249	-6.124619928810796e+246

Results

27.0ms	170×	body	256	valid
22.0ms	50×	body	1024	valid
6.0ms	20×	body	512	valid

Compiler

Compiled 273 to 208 computations (23.8% saved)

regimes30.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	y
9.0ms	z
5.0ms	x

Results

Error	Segments	Branch
13.3b	1	`x`
9.6b	3	`y`
12.3b	2	`z`

Compiler

Compiled 45 to 27 computations (40% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.00022475772351613436	0.0004601419733846113
20.0ms	-59782.4133133121	-725.5168417956093

Results

31.0ms

192×

body

256

valid

Compiler

Compiled 246 to 181 computations (26.4% saved)

regimes32.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

Outputs
(+.f64 x 1)
(cos.f64 y)
(+.f64 x 1)

Calls

3 calls:

13.0ms	x
13.0ms	y
5.0ms	z

Results

Error	Segments	Branch
13.5b	3	`x`
16.8b	3	`y`
20.7b	1	`z`

Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch68.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	8.816799083659881e-17	3.0911679951581852e-15
40.0ms	-1.4790682045919317e-23	-6.540722701809625e-36

Results

27.0ms	64×	body	1024	valid
25.0ms	173×	body	256	valid
10.0ms	35×	body	512	valid

Compiler

Compiled 239 to 200 computations (16.3% saved)

regimes35.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
13.0ms	y
5.0ms	z

Results

Error	Segments	Branch
17.9b	3	`x`
16.8b	3	`y`
20.7b	1	`z`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	5.507966177046795e+23	2.059066525920407e+27
23.0ms	-1.0244207167591758e+21	-805956969439982800.0

Results

42.0ms

256×

body

256

valid

Compiler

Compiled 306 to 237 computations (22.5% saved)

regimes12.0ms (0.2%)

Accuracy

Total -41.8b remaining (-201.8%)

Threshold costs -41.8b (-201.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(+.f64 x 1)

Calls

3 calls:

4.0ms	x
3.0ms	z
3.0ms	y

Results

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
20×	`*-commutative`
12×	`sub-neg`
10×	`neg-mul-1`
10×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	286
1	90	286
2	110	286
3	119	286
4	123	286

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -2115620184325601/151115727451828646838272) (+.f64 (cos.f64 y) x) (if (<=.f64 x 7732668661392199/2535301200456458802993406410752) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 z -6199999999999999765413332253247421841267701277976796933306547779103660049120922557996250208423128927612484778191270624766438801472511621288393507041539081003521465225338946902590570761702613390150649911401190922361496760813412377881533366623272960) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 z 250000000000000009429696323264137572935448428542751981167584144640888663471097611248404761559037397323268853527271847424913882895808728702689001407504731355782198298197770216730555199998000831152521216) (+.f64 (cos.f64 y) x) (.f64 z (neg.f64 (sin.f64 y)))))
(if (<=.f64 y -750) (+.f64 (cos.f64 y) x) (if (<=.f64 y 5902958103587057/18446744073709551616) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -616761790044201/42535295865117307932921825928971026432) (+.f64 x 1) (if (<=.f64 x 7732668661392199/2535301200456458802993406410752) (cos.f64 y) (+.f64 x 1)))
(if (<=.f64 y -220000000000000000000) (+.f64 x 1) (if (<=.f64 y 740000000000000025165824) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 x 1)))
(+.f64 x 1)
x

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -2115620184325601/151115727451828646838272) (+.f64 (cos.f64 y) x) (if (<=.f64 x 7732668661392199/2535301200456458802993406410752) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -2115620184325601/151115727451828646838272) (not (<=.f64 x 7732668661392199/2535301200456458802993406410752))) (+.f64 x (cos.f64 y)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(if (<=.f64 z -6199999999999999765413332253247421841267701277976796933306547779103660049120922557996250208423128927612484778191270624766438801472511621288393507041539081003521465225338946902590570761702613390150649911401190922361496760813412377881533366623272960) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 z 250000000000000009429696323264137572935448428542751981167584144640888663471097611248404761559037397323268853527271847424913882895808728702689001407504731355782198298197770216730555199998000831152521216) (+.f64 (cos.f64 y) x) (.f64 z (neg.f64 (sin.f64 y)))))
(if (or (<=.f64 z -6199999999999999765413332253247421841267701277976796933306547779103660049120922557996250208423128927612484778191270624766438801472511621288393507041539081003521465225338946902590570761702613390150649911401190922361496760813412377881533366623272960) (not (<=.f64 z 250000000000000009429696323264137572935448428542751981167584144640888663471097611248404761559037397323268853527271847424913882895808728702689001407504731355782198298197770216730555199998000831152521216))) (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (cos.f64 y)))
(if (<=.f64 y -750) (+.f64 (cos.f64 y) x) (if (<=.f64 y 5902958103587057/18446744073709551616) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -750) (not (<=.f64 y 5902958103587057/18446744073709551616))) (+.f64 x (cos.f64 y)) (+.f64 x (-.f64 1 (*.f64 y z))))
(if (<=.f64 x -616761790044201/42535295865117307932921825928971026432) (+.f64 x 1) (if (<=.f64 x 7732668661392199/2535301200456458802993406410752) (cos.f64 y) (+.f64 x 1)))
(if (<=.f64 y -220000000000000000000) (+.f64 x 1) (if (<=.f64 y 740000000000000025165824) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 x 1)))
(+.f64 x 1)
x

Compiler

Compiled 132 to 93 computations (29.5% saved)

soundness0.0ms (0%)

end76.0ms (1%)

Compiler: Compiled 111 to 61 computations (45% saved)

Details

analyze222.0ms (3%)

sample2.3s (30.8%)

preprocess78.0ms (1%)

simplify41.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series6.0ms (0.1%)

rewrite113.0ms (1.5%)

simplify205.0ms (2.7%)

eval220.0ms (3%)

prune104.0ms (1.4%)

localize17.0ms (0.2%)

series2.0ms (0%)

rewrite115.0ms (1.5%)

simplify121.0ms (1.6%)

localize3.0ms (0%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite73.0ms (1%)

simplify55.0ms (0.7%)

localize50.0ms (0.7%)

localize17.0ms (0.2%)

series9.0ms (0.1%)

rewrite136.0ms (1.8%)

simplify230.0ms (3.1%)

eval258.0ms (3.5%)

prune142.0ms (1.9%)

localize19.0ms (0.3%)

series43.0ms (0.6%)

rewrite110.0ms (1.5%)

simplify220.0ms (3%)

localize8.0ms (0.1%)

localize3.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (0.7%)

simplify58.0ms (0.8%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite55.0ms (0.7%)

simplify57.0ms (0.8%)

eval183.0ms (2.5%)

prune95.0ms (1.3%)

localize6.0ms (0.1%)

localize15.0ms (0.2%)

series21.0ms (0.3%)

rewrite114.0ms (1.5%)

simplify147.0ms (2%)

localize24.0ms (0.3%)

series5.0ms (0.1%)

rewrite143.0ms (1.9%)

simplify213.0ms (2.9%)

eval330.0ms (4.4%)

prune279.0ms (3.7%)

regimes47.0ms (0.6%)

regimes114.0ms (1.5%)

bsearch68.0ms (0.9%)

regimes70.0ms (0.9%)

bsearch57.0ms (0.8%)

regimes30.0ms (0.4%)

bsearch33.0ms (0.4%)

regimes32.0ms (0.4%)

bsearch68.0ms (0.9%)

regimes35.0ms (0.5%)

bsearch46.0ms (0.6%)

regimes12.0ms (0.2%)

simplify12.0ms (0.2%)

soundness0.0ms (0%)

end76.0ms (1%)

Profiling