Details

analyze309.0ms (2.6%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (20.6%)

Results

1.5s	6280×	body	256	valid
696.0ms	1327×	body	1024	valid
240.0ms	646×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess95.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.08%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.08%	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
▶	0.09%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(sin.f64 y)
✓	0.01%	(+.f64 x (cos.f64 y))
✓	0.02%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	0.2%	(*.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	y	@	0	(*.f64 z (sin.f64 y))
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	@	-inf	(*.f64 z (sin.f64 y))

rewrite114.0ms (1%)

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

simplify144.0ms (1.2%)

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)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 y)
	0.01%	(+.f64 x (cos.f64 y))
✓	0.09%	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))

Compiler

Compiled 25 to 8 computations (68% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

Outputs

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

77 → 82

Calls

Call 1

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

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

eval226.0ms (1.9%)

Compiler: Compiled 17524 to 5159 computations (70.6% saved)

prune143.0ms (1.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	655	19	674
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	656	20	676

Error

Counts

676 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	45.66%	(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
▶	40.56%	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
	1.74%	(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
	0.31%	(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
	22.74%	(-.f64 (+.f64 x (cos.f64 y)) (-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))
	44.16%	(-.f64 (+.f64 x (cos.f64 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))))))
	8.62%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)))
✓	0.09%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶	0.16%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
	8.61%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
▶	48.1%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
	4.29%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	45.67%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	39.81%	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
	27.63%	(+.f64 (cos.f64 y) x)
	0.21%	(+.f64 x (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
▶	35.9%	(+.f64 x 1)
	35%	(+.f64 1 (-.f64 x (*.f64 y z)))
▶	70.7%	(*.f64 (sin.f64 y) (neg.f64 z))
	53.31%	x

Compiler

Compiled 534 to 379 computations (29% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
✓	0.2%	(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
✓	0.25%	(expm1.f64 (sin.f64 y))
✓	0.34%	(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	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)))
0.0ms	y	@	0	(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))

rewrite159.0ms (1.4%)

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))))))))
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simplify127.0ms (1.1%)

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 y)
✓	0.2%	(*.f64 (sin.f64 y) (neg.f64 z))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.5%)

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))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(+.f64 x (cos.f64 y))
✓	0.12%	(*.f64 z (exp.f64 (log.f64 (sin.f64 y))))
✓	0.78%	(log.f64 (sin.f64 y))
✓	2.39%	(exp.f64 (log.f64 (sin.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series42.0ms (0.4%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	y	@	inf	(log.f64 (sin.f64 y))
18.0ms	y	@	-inf	(log.f64 (sin.f64 y))
1.0ms	y	@	0	(log.f64 (sin.f64 y))
0.0ms	y	@	0	(exp.f64 (log.f64 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 z (exp.f64 (log.f64 (sin.f64 y))))

rewrite62.0ms (0.5%)

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	164	25
2	1774	25

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

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

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

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

962×	`unswap-sqr`
876×	`fma-def`
842×	`*-commutative`
608×	`associate-*r/`
520×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1021
1	334	993
2	1419	973
3	4758	973

Stop Event

1×	node limit

Counts

91 → 89

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)
(log.f64 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4))))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(-.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)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2)) (cbrt.f64 (log.f64 (sin.f64 y))))
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 y)))) (sqrt.f64 (log.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(+.f64 0 (log.f64 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (log.f64 (cbrt.f64 (sin.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 (sqrt.f64 (sin.f64 y))))
(-.f64 (+.f64 1 (log.f64 (sin.f64 y))) 1)
(*.f64 (log.f64 (sin.f64 y)) 1)
(*.f64 1 (log.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log.f64 (sin.f64 y))) (sqrt.f64 (log.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2) (cbrt.f64 (log.f64 (sin.f64 y))))
(pow.f64 (log.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (-.f64 (sin.f64 y) 1))
(-.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 z) (sin.f64 y)))
(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)))

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)
(log.f64 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y))
(fma.f64 -1/6 (*.f64 y y) (log.f64 y))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (log.f64 y)) (.f64 -1/180 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y)))
(+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4)))))
(fma.f64 -1/6 (.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (+.f64 (log.f64 y) (.f64 -1/180 (pow.f64 y 4)))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y))))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (fma.f64 -1/2835 (pow.f64 y 6) (log.f64 y))))
(*.f64 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 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 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)))))
(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 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 (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))) 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 1 (-.f64 (sin.f64 y) 1))
(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)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2)) (cbrt.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 y)))) (sqrt.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.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)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(+.f64 0 (log.f64 (sin.f64 y)))
(log.f64 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (log.f64 (cbrt.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(-.f64 (+.f64 1 (log.f64 (sin.f64 y))) 1)
(log.f64 (sin.f64 y))
(*.f64 (log.f64 (sin.f64 y)) 1)
(log.f64 (sin.f64 y))
(*.f64 1 (log.f64 (sin.f64 y)))
(log.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (log.f64 (sin.f64 y))) (sqrt.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2))
(log.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2) (cbrt.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(pow.f64 (log.f64 (sin.f64 y)) 1)
(log.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (log.f64 (sin.f64 y))) 2)
(log.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 3)
(log.f64 (sin.f64 y))
(pow.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) 1/3)
(log.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 2))
(log.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 3))
(log.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(exp.f64 (log.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (log.f64 (sin.f64 y))) 1))
(log.f64 (sin.f64 y))
(log1p.f64 (-.f64 (sin.f64 y) 1))
(log1p.f64 (+.f64 (sin.f64 y) -1))
(-.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 z) (sin.f64 y)))
(*.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)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.03%	(sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓	0.04%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	0.2%	(*.f64 z (sin.f64 y))
✓	0.32%	(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)

Compiler

Compiled 53 to 12 computations (77.4% saved)

series11.0ms (0.1%)

Counts

3 → 56

Calls

24 calls:

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

rewrite129.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	304	79
2	3794	79

Stop Event

1×	node limit

Counts

3 → 290

Calls

Call 1

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

Outputs

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simplify174.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-r`
1090×	`associate-l`
910×	`associate-/l*`
772×	`+-commutative`
722×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	837	25986
1	2425	25740

Stop Event

1×	node limit

Counts

346 → 503

Calls

Call 1

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

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

eval316.0ms (2.7%)

Compiler: Compiled 32190 to 10325 computations (67.9% saved)

prune264.0ms (2.3%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1133	13	1146
Fresh	10	4	14
Picked	1	0	1
Done	2	3	5
Total	1146	20	1166

Error

Counts

1166 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	61.73%	(pow.f64 (sqrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 2)
▶	57.41%	(pow.f64 (sqrt.f64 (+.f64 x 1)) 2)
	1.74%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) 3)
▶	0.31%	(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
▶	0.08%	(-.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1))
	8.61%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
	8.59%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1))))
✓	0.09%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
	45.67%	(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
	0.21%	(+.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 (sin.f64 y) z))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
	39.81%	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
▶	89.15%	(+.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)))))
	27.63%	(+.f64 (cos.f64 y) x)
✓	35.9%	(+.f64 x 1)
	35%	(+.f64 1 (-.f64 x (*.f64 y z)))
✓	70.7%	(*.f64 (sin.f64 y) (neg.f64 z))
	82.49%	(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (neg.f64 z))
	74.78%	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) (neg.f64 z))
▶	88.5%	(*.f64 y (neg.f64 z))
	53.31%	x

Compiler

Compiled 482 to 352 computations (27% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(+.f64 x (cos.f64 y))
✓	0.02%	(-.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1))
✓	0.2%	(*.f64 (sin.f64 y) z)
✓	6.77%	(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)

Compiler

Compiled 46 to 19 computations (58.7% saved)

series2.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite110.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`associate-+l+`
632×	`associate-/r*`
504×	`associate-+r+`
462×	`+-commutative`
450×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	314	49
2	4704	49

Stop Event

1×	node limit

Counts

3 → 273

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (*.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 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x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify221.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-def`
868×	`associate--l-`
796×	`associate-+l+`
714×	`+-commutative`
666×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	15787
1	1650	14181
2	7650	14169

Stop Event

1×	node limit

Counts

357 → 335

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(sqrt.f64 (+.f64 x 1))
✓	0.24%	(pow.f64 (sqrt.f64 (+.f64 x 1)) 2)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series4.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(sqrt.f64 (+.f64 x 1))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 x 1)) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (+.f64 x 1)) 2)
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (+.f64 x 1)) 2)
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x 1))

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`add-sqr-sqrt`
1424×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1322×	`add-cbrt-cube`
1312×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	185	18
2	1903	18

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (+.f64 x 1)) 2)
(sqrt.f64 (+.f64 x 1))

Outputs

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

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

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1216×	`distribute-lft-in`
1204×	`associate-/l*`
1100×	`distribute-rgt-in`
782×	`unswap-sqr`
716×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1366
1	299	1206
2	969	1018
3	3228	1018

Stop Event

1×	node limit

Counts

66 → 88

Calls

Call 1

Inputs
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 x 1)
(+.f64 1 x)
(-.f64 (+.f64 1 (+.f64 x 1)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(*.f64 1 (+.f64 x 1))
(*.f64 (+.f64 x 1) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))
(.f64 (pow.f64 (+.f64 x 1) 1/4) (.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
(/.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 x 1) 2))
(log.f64 (exp.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1)))
(fma.f64 1 x 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))

Outputs
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 1))
(fma.f64 x (*.f64 x -1/8) (fma.f64 x 1/2 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
(+.f64 x 1)
(+.f64 1 x)
(+.f64 1 x)
(-.f64 (+.f64 1 (+.f64 x 1)) 1)
(+.f64 1 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(*.f64 1 (+.f64 x 1))
(+.f64 1 x)
(*.f64 (+.f64 x 1) 1)
(+.f64 1 x)
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 x)
(.f64 (pow.f64 (+.f64 x 1) 1/4) (.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (+.f64 x 1))))
(+.f64 1 x)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(+.f64 1 x)
(.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(.f64 (cbrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 4))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))
(+.f64 1 x)
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(+.f64 1 x)
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(.f64 (cbrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 4))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 4))
(/.f64 1 (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x -1)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1)) x) (/.f64 -1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(sqrt.f64 (pow.f64 (+.f64 x 1) 2))
(+.f64 1 x)
(log.f64 (exp.f64 (+.f64 x 1)))
(+.f64 1 x)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3))
(+.f64 1 x)
(expm1.f64 (log1p.f64 (+.f64 x 1)))
(+.f64 1 x)
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1))
(exp.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x 1)))
(+.f64 1 x)
(fma.f64 1 x 1)
(+.f64 1 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)
(+.f64 1 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)
(+.f64 1 x)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(pow.f64 (+.f64 x 1) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
✓	0.15%	(/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))
	0.2%	(*.f64 (sin.f64 y) z)
✓	0.28%	(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))

Compiler

Compiled 55 to 15 computations (72.7% saved)

series7.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite184.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*l/`
1138×	`distribute-lft-in`
610×	`associate-/r*`
424×	`associate-/r/`
414×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	306	81
2	3925	81

Stop Event

1×	node limit

Counts

3 → 264

Calls

Call 1

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

Outputs

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

simplify176.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate-r`
928×	`associate-l`
820×	`+-commutative`
722×	`*-commutative`
712×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	796	22664
1	2419	22594

Stop Event

1×	node limit

Counts

360 → 492

Calls

Call 1

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

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

localize109.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.49%	(*.f64 (pow.f64 y 7) z)
✓	4.17%	(*.f64 (pow.f64 y 3) z)
✓	28.87%	(+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
✓	34.48%	(+.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)))))

Compiler

Compiled 130 to 88 computations (32.3% saved)

series11.0ms (0.1%)

Counts

4 → 36

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(+.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)))))
2.0ms	z	@	inf	(+.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)))))
1.0ms	z	@	-inf	(+.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)))))
1.0ms	y	@	0	(+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
0.0ms	y	@	0	(*.f64 (pow.f64 y 7) z)

rewrite119.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`add-sqr-sqrt`
524×	`add-cbrt-cube`
524×	`add-cube-cbrt`
524×	`*-un-lft-identity`
522×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	567	132
2	7389	132

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))) (/.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 2) (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))) (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))) 2) (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 2)) (/.f64 1 (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/128024064000 (pow.f64 (.f64 (pow.f64 y 7) z) 3)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 3)) (/.f64 1 (+.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (-.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (.f64 1/5040 (.f64 (pow.f64 y 7) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/5040 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z (.f64 -1/120 (pow.f64 y 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400)) (cbrt.f64 (.f64 z (.f64 -1/120 (pow.f64 y 5)))) (.f64 (pow.f64 y 3) (.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 1/6)) 2) (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 1/6)) (.f64 z (.f64 -1/120 (pow.f64 y 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/120 (pow.f64 y 5)) z (.f64 (pow.f64 y 3) (.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 (pow.f64 y 3)) z (.f64 z (.f64 -1/120 (pow.f64 y 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 3/2) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 y 6) (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (pow.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (pow.f64 y 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (pow.f64 y 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (pow.f64 y 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 y 7) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 7) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 7/2) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 y 7) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 y 7) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (pow.f64 y 7) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y 7)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 y 7) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 y 7) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 y 7) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (pow.f64 y 7) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 y 7) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 y 7) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y 7) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y 7) z)))))))

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1616×	`associate-/l*`
1042×	`associate-/r*`
862×	`associate-+r+`
750×	`associate-+l+`
628×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	323	8554
1	865	8190
2	4154	8190

Stop Event

1×	node limit

Counts

148 → 193

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 1/5040 (.f64 (pow.f64 y 7) z))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (.f64 -1/120 (.f64 (pow.f64 y 5) z)))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(.f64 1/5040 (.f64 (pow.f64 y 7) z))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (.f64 -1/120 (.f64 (pow.f64 y 5) z)))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(.f64 (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y)))) z)
(.f64 (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y)))) z)
(.f64 (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y)))) z)
(.f64 (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y)))) z)
(.f64 (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))))) z)
(.f64 (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))))) z)
(.f64 (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))))) z)
(.f64 (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))))) z)
(.f64 -1 (.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))))
(.f64 -1 (.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))))
(.f64 -1 (.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))))
(.f64 -1 (.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/120 (.f64 (pow.f64 y 5) z))
(.f64 -1/120 (.f64 (pow.f64 y 5) z))
(.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))) z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z))))) 1)
(-.f64 (/.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))) (/.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 2) (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))))
(.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z))) 1)
(.f64 1 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z))))
(.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))) (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z)))))
(.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))) 2) (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z)))))
(.f64 (-.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 2)) (/.f64 1 (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))))
(.f64 (+.f64 (.f64 1/128024064000 (pow.f64 (.f64 (pow.f64 y 7) z) 3)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 3)) (/.f64 1 (+.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (-.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (.f64 1/5040 (.f64 (pow.f64 y 7) z)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (-.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (-.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (.f64 1/5040 (.f64 (pow.f64 y 7) z))))) (+.f64 (.f64 1/128024064000 (pow.f64 (.f64 (pow.f64 y 7) z) 3)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))) 3))))
(/.f64 (-.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 2)) (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(/.f64 (+.f64 (.f64 1/128024064000 (pow.f64 (.f64 (pow.f64 y 7) z) 3)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 3)) (+.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (-.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (.f64 1/5040 (*.f64 (pow.f64 y 7) z))))))
(/.f64 (+.f64 (.f64 1/128024064000 (pow.f64 (.f64 (pow.f64 y 7) z) 3)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 3)) (+.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 2) (-.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (.f64 1/5040 (.f64 (.f64 (pow.f64 y 7) z) (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 2) (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2))) (-.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (.f64 1/5040 (.f64 (pow.f64 y 7) z))))
(/.f64 (-.f64 (.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z))) (pow.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) 2)) (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) 3) (pow.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) 3)) (+.f64 (.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z))) (-.f64 (pow.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) 2) (.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 2))) (neg.f64 (-.f64 (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))))))
(/.f64 (neg.f64 (+.f64 (.f64 1/128024064000 (pow.f64 (.f64 (pow.f64 y 7) z) 3)) (pow.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 3))) (neg.f64 (+.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2)) (.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (-.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (.f64 1/5040 (*.f64 (pow.f64 y 7) z)))))))
(pow.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z))) 1)
(pow.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z)))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z))) 2))
(log.f64 (exp.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z)))))
(exp.f64 (log.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z)))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (.f64 y z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (*.f64 y z)))))
(fma.f64 1/5040 (.f64 (pow.f64 y 7) z) (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(fma.f64 (.f64 (pow.f64 y 7) z) 1/5040 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(fma.f64 1 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))))
(fma.f64 1 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (.f64 1/5040 (.f64 (pow.f64 y 7) z)))
(fma.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))) (sqrt.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))) (.f64 1/5040 (.f64 (pow.f64 y 7) z)))
(fma.f64 (sqrt.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z))) (sqrt.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z))) (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))) 2) (cbrt.f64 (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))) (.f64 1/5040 (.f64 (pow.f64 y 7) z)))
(fma.f64 (cbrt.f64 (.f64 1/25401600 (pow.f64 (.f64 (pow.f64 y 7) z) 2))) (cbrt.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z))) (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))))
(fma.f64 (.f64 1/5040 (pow.f64 y 7)) z (+.f64 (.f64 y z) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))))) 1)
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 z (-.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (/.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 z (-.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))))
(.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))
(.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) 1)
(.f64 1 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))
(.f64 (sqrt.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (sqrt.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(.f64 (cbrt.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) (cbrt.f64 (pow.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) 2)) (cbrt.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36)) (/.f64 1 (.f64 z (-.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))))
(.f64 (+.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 5)) 3) -1/1728000) (pow.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (-.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (.f64 z (*.f64 -1/120 (pow.f64 y 5))))))))
(/.f64 1 (/.f64 (.f64 z (-.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (-.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 (.f64 (pow.f64 y 6) (*.f64 z z)) 1/36))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (-.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (.f64 z (.f64 -1/120 (pow.f64 y 5)))))) (+.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 5)) 3) -1/1728000) (pow.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) 3))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36)) (.f64 z (-.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 5)) 3) -1/1728000) (pow.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) 3)) (+.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (-.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (.f64 z (.f64 -1/120 (pow.f64 y 5)))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 5)) 3) -1/1728000) (pow.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) 3)) (+.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (-.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 (.f64 z (.f64 -1/120 (pow.f64 y 5))) (.f64 (pow.f64 y 3) (*.f64 z 1/6))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36) (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400)) (-.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (.f64 z (.f64 -1/120 (pow.f64 y 5)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 (.f64 (pow.f64 y 6) (.f64 z z)) 1/36))) (neg.f64 (.f64 z (-.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 z (pow.f64 y 5)) 3) -1/1728000) (pow.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) 3))) (neg.f64 (+.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400) (.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (-.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (.f64 z (.f64 -1/120 (pow.f64 y 5))))))))
(pow.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) 1)
(pow.f64 (sqrt.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))) 2)
(pow.f64 (cbrt.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))) 3)
(pow.f64 (pow.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) 2))
(log.f64 (exp.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))))))
(cbrt.f64 (pow.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) 3))
(expm1.f64 (log1p.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(exp.f64 (log.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3))))) 1))
(log1p.f64 (expm1.f64 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))))))
(fma.f64 -1/120 (.f64 z (pow.f64 y 5)) (.f64 (pow.f64 y 3) (*.f64 z 1/6)))
(fma.f64 (.f64 z (pow.f64 y 5)) -1/120 (.f64 (pow.f64 y 3) (*.f64 z 1/6)))
(fma.f64 1/6 (.f64 z (pow.f64 y 3)) (.f64 z (*.f64 -1/120 (pow.f64 y 5))))
(fma.f64 (.f64 z (pow.f64 y 3)) 1/6 (.f64 z (*.f64 -1/120 (pow.f64 y 5))))
(fma.f64 1 (.f64 z (.f64 -1/120 (pow.f64 y 5))) (.f64 (pow.f64 y 3) (.f64 z 1/6)))
(fma.f64 1 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (.f64 z (.f64 -1/120 (pow.f64 y 5))))
(fma.f64 (sqrt.f64 (.f64 z (.f64 -1/120 (pow.f64 y 5)))) (sqrt.f64 (.f64 z (.f64 -1/120 (pow.f64 y 5)))) (.f64 (pow.f64 y 3) (.f64 z 1/6)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6))) (sqrt.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6))) (.f64 z (.f64 -1/120 (pow.f64 y 5))))
(fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 y 10) (.f64 z z)) 1/14400)) (cbrt.f64 (.f64 z (.f64 -1/120 (pow.f64 y 5)))) (.f64 (pow.f64 y 3) (*.f64 z 1/6)))
(fma.f64 (pow.f64 (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 1/6)) 2) (.f64 (.f64 y (cbrt.f64 z)) (cbrt.f64 1/6)) (.f64 z (.f64 -1/120 (pow.f64 y 5))))
(fma.f64 (.f64 -1/120 (pow.f64 y 5)) z (.f64 (pow.f64 y 3) (*.f64 z 1/6)))
(fma.f64 (.f64 1/6 (pow.f64 y 3)) z (.f64 z (*.f64 -1/120 (pow.f64 y 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 y 3)))) 1)
(pow.f64 (*.f64 z (pow.f64 y 3)) 1)
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 z)) 2)
(pow.f64 (*.f64 y (cbrt.f64 z)) 3)
(pow.f64 (pow.f64 (*.f64 z (pow.f64 y 3)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 y 6) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (pow.f64 y 3)))))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 y 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 y 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y 3))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y 3))))
(exp.f64 (.f64 (log.f64 (.f64 z (pow.f64 y 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y 7) z))) 1)
(pow.f64 (*.f64 (pow.f64 y 7) z) 1)
(pow.f64 (*.f64 (pow.f64 y 7/2) (sqrt.f64 z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y 7) z)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y 7) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y 7) z) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 7)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y 7) z))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y 7) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 7) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 y 7) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y 7) z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 y 7) z)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y 7) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y 7) z)))

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

eval510.0ms (4.4%)

Compiler: Compiled 36501 to 16512 computations (54.8% saved)

prune324.0ms (2.8%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1238	12	1250
Fresh	5	7	12
Picked	1	0	1
Done	3	4	7
Total	1247	23	1270

Error

Counts

1270 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	1.74%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x))) 3)
	70.82%	(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
	45.76%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
▶	35.13%	(/.f64 1 (/.f64 1 (+.f64 x (+.f64 1 (*.f64 y (neg.f64 z))))))
▶	53.43%	(/.f64 1 (/.f64 1 x))
▶	0.18%	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
	0.55%	(-.f64 (+.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
▶	8.61%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
	8.59%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (+.f64 1 (-.f64 (sin.f64 y) 1))))
✓	0.09%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
	35.91%	(-.f64 (+.f64 1 (+.f64 x 1)) 1)
	45.66%	(-.f64 (cos.f64 y) (-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1))
▶	45.67%	(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
	0.21%	(+.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 (sin.f64 y) z))) (.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
	39.81%	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
	27.63%	(+.f64 (cos.f64 y) x)
	35%	(+.f64 x (-.f64 1 (*.f64 y z)))
✓	35.9%	(+.f64 x 1)
✓	70.7%	(*.f64 (sin.f64 y) (neg.f64 z))
✓	88.5%	(*.f64 y (neg.f64 z))
	59.49%	(exp.f64 (log1p.f64 x))
	53.31%	x
	80.49%	1

Compiler

Compiled 489 to 361 computations (26.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 y)
	0.01%	(+.f64 x (cos.f64 y))
✓	0.02%	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
✓	0.52%	(/.f64 (sin.f64 y) (/.f64 1 z))

Compiler

Compiled 43 to 20 computations (53.5% saved)

series1.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`associate-/l*`
1156×	`associate-/r/`
762×	`associate-/l/`
372×	`associate-+l+`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	314	38
2	4405	38

Stop Event

1×	node limit

Counts

2 → 234

Calls

Call 1

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

Outputs

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

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1068×	`associate-r`
776×	`associate-l`
754×	`*-commutative`
698×	`associate-/r*`
636×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	637	14574
1	2094	13564

Stop Event

1×	node limit

Counts

294 → 392

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.24%	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 x))

Outputs

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

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.26%	(/.f64 1 (/.f64 1 (+.f64 x (+.f64 1 (*.f64 y (neg.f64 z))))))
✓	0.35%	(/.f64 1 (+.f64 x (+.f64 1 (*.f64 y (neg.f64 z)))))

Compiler

Compiled 49 to 23 computations (53.1% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`distribute-rgt-in`
1152×	`distribute-lft-in`
886×	`associate-/r*`
642×	`associate-/r/`
344×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	286	36
2	3711	36

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1148×	`+-commutative`
678×	`associate-r`
654×	`associate-+r-`
610×	`*-commutative`
610×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	509	11082
1	1675	10484
2	7214	10292

Stop Event

1×	node limit

Counts

240 → 318

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (.f64 -1 (.f64 y z))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 -1 (.f64 y z)))) (.f64 -1 (/.f64 x (pow.f64 (+.f64 1 (.f64 -1 (*.f64 y z))) 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 3)) (+.f64 (/.f64 1 (+.f64 1 (.f64 -1 (.f64 y z)))) (.f64 -1 (/.f64 x (pow.f64 (+.f64 1 (.f64 -1 (*.f64 y z))) 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 4))) (+.f64 (/.f64 1 (+.f64 1 (.f64 -1 (.f64 y z)))) (.f64 -1 (/.f64 x (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 2))))))
(/.f64 1 x)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (*.f64 y z))) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 2) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (*.f64 y z))) (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 2) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 3) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (.f64 y z))) (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (*.f64 y z))) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 2) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (*.f64 y z))) (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 2) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (.f64 y z))) 3) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (.f64 y z))) (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 1 (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 y z) (pow.f64 (+.f64 1 x) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (.f64 y z) (pow.f64 (+.f64 1 x) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (+.f64 1 x) 4)) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 y z) (pow.f64 (+.f64 1 x) 2)))))
(/.f64 -1 (*.f64 y z))
(-.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 x (pow.f64 z 2)) (/.f64 1 (pow.f64 z 2))) (pow.f64 y 2))) (/.f64 1 (.f64 y z)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 x (pow.f64 z 2)) (/.f64 1 (pow.f64 z 2))) (pow.f64 y 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 x) (+.f64 (/.f64 x (pow.f64 z 2)) (/.f64 1 (pow.f64 z 2)))) (.f64 (pow.f64 y 3) z)))) (/.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 x (pow.f64 z 2)) (/.f64 1 (pow.f64 z 2))) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (/.f64 x (pow.f64 z 2)) (/.f64 1 (pow.f64 z 2)))) (.f64 (pow.f64 y 4) (pow.f64 z 2)))) (.f64 -1 (/.f64 (.f64 (+.f64 1 x) (+.f64 (/.f64 x (pow.f64 z 2)) (/.f64 1 (pow.f64 z 2)))) (.f64 (pow.f64 y 3) z))))) (/.f64 1 (.f64 y z)))
(/.f64 -1 (*.f64 y z))
(-.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 x (pow.f64 z 2)) (/.f64 1 (pow.f64 z 2))) (pow.f64 y 2))) (/.f64 1 (.f64 y z)))
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(+.f64 (.f64 -1 (neg.f64 (+.f64 1 x))) (.f64 y z))
(+.f64 (.f64 (+.f64 x (.f64 y z)) 1) 1)
(+.f64 (.f64 (.f64 (+.f64 1 x) 1) 1) (*.f64 y z))
(+.f64 (.f64 (neg.f64 x) -1) (.f64 (neg.f64 (fma.f64 y z 1)) -1))
(+.f64 (.f64 (neg.f64 (fma.f64 y z 1)) -1) (.f64 (neg.f64 x) -1))
(+.f64 (.f64 (neg.f64 (+.f64 1 x)) -1) (.f64 (*.f64 y z) -1))
(-.f64 1 (-.f64 (*.f64 y z) x))
(-.f64 (fma.f64 y z 1) (-.f64 1 (+.f64 1 x)))
(-.f64 0 (-.f64 (-.f64 (*.f64 y z) 1) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z 1))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 y z 1)))) 1)
(-.f64 (/.f64 1 (fma.f64 y z 1)) (-.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (fma.f64 y z 1)) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 y z 1))) (/.f64 (pow.f64 (fma.f64 y z 1) 2) (-.f64 x (fma.f64 y z 1))))
(-.f64 (+.f64 2 (+.f64 x (*.f64 y z))) 1)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (fma.f64 y z 1)))) 1)
(-.f64 (+.f64 x (/.f64 1 (fma.f64 y z 1))) (/.f64 (pow.f64 (*.f64 y z) 2) (fma.f64 y z 1)))
(-.f64 (+.f64 (+.f64 1 x) 0) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (+.f64 1 x) 1) (fma.f64 y z 1)) 1)
(-.f64 (+.f64 (.f64 (+.f64 1 x) 1) 0) (.f64 y z))
(*.f64 1 (+.f64 x (fma.f64 y z 1)))
(.f64 1 (neg.f64 (-.f64 (-.f64 (.f64 y z) 1) x)))
(*.f64 (+.f64 x (fma.f64 y z 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 y z 1))) (sqrt.f64 (+.f64 x (fma.f64 y z 1))))
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 y z 1))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y z 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y z 1))) 2) (cbrt.f64 (+.f64 x (fma.f64 y z 1))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 y z 1) 2)) (/.f64 1 (-.f64 x (fma.f64 y z 1))))
(.f64 -1 (-.f64 (-.f64 (.f64 y z) 1) x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z 1) 3)) (/.f64 1 (fma.f64 x x (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x)))))
(.f64 (-.f64 (-.f64 (.f64 y z) 1) x) -1)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) -2))) (cbrt.f64 (+.f64 x (fma.f64 y z 1))))
(.f64 (/.f64 1 (-.f64 x (fma.f64 y z 1))) (-.f64 (.f64 x x) (pow.f64 (fma.f64 y z 1) 2)))
(.f64 (/.f64 1 (fma.f64 x x (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z 1) 3)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (fma.f64 y z 1)))) -1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (fma.f64 y z 1))) 1) (sqrt.f64 (+.f64 x (fma.f64 y z 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y z 1))) 2) 1) (cbrt.f64 (+.f64 x (fma.f64 y z 1))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) -2))) 1) (cbrt.f64 (+.f64 x (fma.f64 y z 1))))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (*.f64 y z) 2)) 1) (/.f64 1 (+.f64 x (fma.f64 y z 1))))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (*.f64 y z) 2)) 1) (neg.f64 (/.f64 -1 (+.f64 x (fma.f64 y z 1)))))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (*.f64 y z) 2)) (sqrt.f64 (+.f64 x (fma.f64 y z 1)))) (pow.f64 (+.f64 x (fma.f64 y z 1)) -1/2))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (*.f64 y z) 2)) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y z 1))) 2)) (cbrt.f64 (/.f64 1 (+.f64 x (fma.f64 y z 1)))))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 x x) (pow.f64 (fma.f64 y z 1) 2))) (-.f64 x (fma.f64 y z 1)))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (*.f64 y z) 2)) -1) (/.f64 -1 (+.f64 x (fma.f64 y z 1))))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (.f64 y z) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z 1) 3))) (fma.f64 x x (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 y z 1) 2)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y z 1) 2))) (+.f64 x (fma.f64 y z 1)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y z 1))) 2))) (cbrt.f64 (+.f64 x (fma.f64 y z 1))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (fma.f64 y z 1))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 (-.f64 (.f64 y z) 1) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y z 1))) 2) -1) (cbrt.f64 (-.f64 (-.f64 (.f64 y z) 1) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 y z 1) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z 1) 3))) (+.f64 (.f64 x x) (.f64 (fma.f64 y z 1) (+.f64 x (fma.f64 y z 1)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z 1) 3)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x)) (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x))))) (-.f64 (.f64 x x) (*.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z 1) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x)) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x)) (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x))) (.f64 (.f64 x x) (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x))))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) -2))) -1) (cbrt.f64 (-.f64 (-.f64 (.f64 y z) 1) x)))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (.f64 y z) 2)) (-.f64 (-.f64 (.f64 y z) 1) x)) -1)
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) -2)))) (cbrt.f64 (/.f64 1 (+.f64 x (fma.f64 y z 1)))))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (.f64 y z) 2)) (neg.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 y z 1) 2)))) (neg.f64 (-.f64 x (fma.f64 y z 1))))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (.f64 y z) 2)) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z 1) 3)))) (neg.f64 (fma.f64 x x (.f64 (fma.f64 y z 1) (-.f64 (fma.f64 y z 1) x)))))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (.f64 y z) 2)) (-.f64 (pow.f64 (fma.f64 y z 1) 2) (.f64 x x))) (-.f64 (fma.f64 y z 1) x))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (*.f64 y z) 2))) (+.f64 x (fma.f64 y z 1)))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (.f64 y z) 2)) (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (+.f64 1 x) 3))) (+.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 (pow.f64 (.f64 y z) 2) (.f64 (+.f64 1 x) (.f64 y z)))))
(pow.f64 (+.f64 x (fma.f64 y z 1)) 1)
(pow.f64 (/.f64 1 (+.f64 x (fma.f64 y z 1))) -1)
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 y z 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 y z 1))) 3)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 y z 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 y z 1)))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 y z 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 y z 1))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 y z 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 y z 1))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (fma.f64 y z 1)))) -1))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 y z 1))))
(fma.f64 1 x (fma.f64 y z 1))
(fma.f64 1 (fma.f64 y z 1) x)
(fma.f64 (sqrt.f64 (fma.f64 y z 1)) (sqrt.f64 (fma.f64 y z 1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y z 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z 1)) 2) (cbrt.f64 (fma.f64 y z 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 y z 1))

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sin.f64 y)
	0.04%	(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
	0.2%	(*.f64 (sin.f64 y) z)

Compiler

Compiled 20 to 7 computations (65% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
✓	0.2%	(*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1))
✓	0.6%	(+.f64 1 (sin.f64 y))
✓	4.75%	(-.f64 (+.f64 1 (sin.f64 y)) 1)

Compiler

Compiled 46 to 24 computations (47.8% saved)

series2.0ms (0%)

Counts

4 → 76

Calls

21 calls:

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

rewrite122.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`associate-+l+`
586×	`associate-/r*`
454×	`associate-/l*`
420×	`+-commutative`
386×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	90
1	315	54
2	4628	54

Stop Event

1×	node limit

Counts

4 → 349

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

simplify416.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1234×	`associate-r`
1048×	`associate-l`
1004×	`+-commutative`
992×	`associate-+r+`
970×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	905	21785
1	2712	21417

Stop Event

1×	node limit

Counts

425 → 579

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

eval1.0s (8.7%)

Compiler: Compiled 46195 to 19406 computations (58% saved)

prune454.0ms (3.9%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	1724	13	1737
Fresh	7	7	14
Picked	0	1	1
Done	2	6	8
Total	1733	27	1760

Error

Counts

1760 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	46.32%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3)
	70.82%	(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
✓	53.43%	(/.f64 1 (/.f64 1 x))
	88.51%	(/.f64 1 (/.f64 -1 (*.f64 y z)))
	59.88%	(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 (-.f64 1 (.f64 y z)) (.f64 x x))))
	4.3%	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) (/.f64 1 z)))
	0.15%	(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (/.f64 1 (sin.f64 y))))
✓	8.61%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
	8.59%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (+.f64 (+.f64 (sin.f64 y) -1) 1)))
✓	0.09%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
	35.91%	(-.f64 (+.f64 1 (+.f64 x 1)) 1)
	35%	(-.f64 (+.f64 1 x) (*.f64 y z))
	53.47%	(-.f64 (+.f64 1 x) 1)
	45.66%	(-.f64 (cos.f64 y) (-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1))
✓	45.67%	(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
	72.02%	(-.f64 1 (*.f64 y z))
	44.54%	(+.f64 (+.f64 x (*.f64 y z)) 1)
	39.81%	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
	27.63%	(+.f64 (cos.f64 y) x)
✓	35.9%	(+.f64 x 1)
	9.22%	(*.f64 (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) z)
✓	70.7%	(*.f64 (sin.f64 y) (neg.f64 z))
✓	88.5%	(*.f64 y (neg.f64 z))
	76.89%	(expm1.f64 (log1p.f64 x))
	72.79%	(cos.f64 y)
	53.31%	x
	80.49%	1

Compiler

Compiled 282 to 214 computations (24.1% saved)

regimes116.0ms (1%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	y
26.0ms	x
25.0ms	z
25.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Error	Segments	Branch
0.08%	1	`x`
0.08%	1	`y`
0.08%	1	`z`
0.08%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 624 to 283 computations (54.6% saved)

regimes68.0ms (0.6%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	y
15.0ms	z
15.0ms	x
14.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Error	Segments	Branch
0.09%	1	`x`
0.09%	1	`y`
0.09%	1	`z`
0.09%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 268 to 138 computations (48.5% saved)

regimes477.0ms (4.1%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

211.0ms	y
181.0ms	z
79.0ms	x

Results

Error	Segments	Branch
8.24%	3	`x`
13.08%	5	`y`
12%	3	`z`

Compiler

Compiled 164 to 94 computations (42.7% saved)

bsearch75.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	4.278048162750919e+39	5.4359419813439524e+39
39.0ms	-4.577227780212979e-10	-2.45160561826861e-20

Results

33.0ms	23×	body	512	valid
23.0ms	152×	body	256	valid
14.0ms	33×	body	1024	valid

Compiler

Compiled 262 to 195 computations (25.6% saved)

regimes237.0ms (2%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

94.0ms	y
75.0ms	x
64.0ms	z

Results

Error	Segments	Branch
21.66%	7	`x`
14.56%	6	`y`
14.35%	3	`z`

Compiler

Compiled 150 to 90 computations (40% saved)

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	8.42437907669597e+181	2.9809775878550365e+185
30.0ms	-8.712573741896302e+179	-3.094201801681178e+176

Results

29.0ms	179×	body	256	valid
24.0ms	53×	body	1024	valid
7.0ms	24×	body	512	valid

Compiler

Compiled 290 to 221 computations (23.8% saved)

regimes83.0ms (0.7%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	z
27.0ms	x
25.0ms	y

Results

Error	Segments	Branch
25.98%	3	`x`
18.7%	3	`y`
21.02%	3	`z`

Compiler

Compiled 125 to 75 computations (40% saved)

bsearch56.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.323461423801215	5831573313.071003
30.0ms	-0.02022187713210782	-7.502611772186828e-19

Results

52.0ms

304×

body

256

valid

Compiler

Compiled 379 to 279 computations (26.4% saved)

regimes79.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	z
24.0ms	y
24.0ms	x

Results

Error	Segments	Branch
28.35%	3	`x`
26.81%	3	`y`
29.2%	3	`z`

Compiler

Compiled 121 to 74 computations (38.8% saved)

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.0877262280090264e+49	1.4812967018863196e+72
21.0ms	-280023.11259652366	-12719.299308837206

Results

50.0ms

288×

body

256

valid

Compiler

Compiled 414 to 319 computations (22.9% saved)

regimes69.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	x
20.0ms	y
20.0ms	z

Results

Error	Segments	Branch
28.83%	3	`x`
26.86%	3	`y`
29.2%	3	`z`

Compiler

Compiled 81 to 50 computations (38.3% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	5.176950353703423e+26	3.821747334606171e+34
21.0ms	-280023.11259652366	-12719.299308837206

Results

43.0ms

256×

body

256

valid

Compiler

Compiled 306 to 237 computations (22.5% saved)

regimes38.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	z
14.0ms	x
5.0ms	y

Results

Error	Segments	Branch
28.9%	3	`x`
35.9%	1	`y`
32.28%	3	`z`

Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch69.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.3726141944783121e-16	7.881709386610016e-13
40.0ms	-4.577227780212979e-10	-2.45160561826861e-20

Results

31.0ms	197×	body	256	valid
24.0ms	56×	body	1024	valid
11.0ms	35×	body	512	valid

Compiler

Compiled 306 to 247 computations (19.3% saved)

regimes16.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	z
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
35.9%	1	`x`
35.9%	1	`y`
34.17%	2	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-7.086065819497435e+262	-1.1387956968628298e+262

Results

10.0ms	62×	body	256	valid
9.0ms	21×	body	1024	valid
4.0ms	13×	body	512	valid

Compiler

Compiled 108 to 85 computations (21.3% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
1
x
(+.f64 x 1)

Outputs
(+.f64 x 1)

Calls

3 calls:

4.0ms	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
35.9%	1	`x`
35.9%	1	`y`
35.9%	1	`z`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes27.0ms (0.2%)

Accuracy

Total -38.5b remaining (-163.1%)

Threshold costs -38.5b (-163.1%)

Counts

2 → 3

Calls

Call 1

Inputs
1
x

Outputs
x
1
x

Calls

3 calls:

14.0ms	y
9.0ms	x
3.0ms	z

Results

Error	Segments	Branch
36.91%	3	`x`
47.69%	5	`y`
53.31%	1	`z`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch62.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	3.922158895189737e-5	0.24738275719086497
28.0ms	-0.0033459736898048286	-0.00015791058152847862

Results

29.0ms	66×	body	1024	valid
25.0ms	155×	body	256	valid
5.0ms	19×	body	512	valid

Compiler

Compiled 168 to 148 computations (11.9% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative`
28×	`*-commutative`
20×	`sub-neg`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	444
1	133	444
2	159	444
3	175	444
4	185	444
5	187	444

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -7891867750444299/77371252455336267181195264) (+.f64 (cos.f64 y) x) (if (<=.f64 x 4499999999999999955364839849957273894912) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x 1)))
(if (<=.f64 z -3099999999999999910618994692850482093206721617458230532572463920521267715131340781521592099971915123090226215471360974731526079043687918787374113260102848169786391060188265185280) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 5199999999999999863816930278946988071824636501801425463416317255247208537875267370223098220636868305719719257815203634686447250499318418161733575816186070044250932034236713225578086400) (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -6456360425798343/1152921504606846976) (+.f64 (cos.f64 y) x) (if (<=.f64 y 5404319552844595/2251799813685248) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -100000) (+.f64 x 1) (if (<=.f64 y 11000000000000000320044996666624807509396513882112) (+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z))) (+.f64 x 1)))
(if (<=.f64 y -16500) (+.f64 x 1) (if (<=.f64 y 1649999999999999898229407744) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 x 1)))
(if (<=.f64 x -7724745845140773/39614081257132168796771975168) (+.f64 x 1) (if (<=.f64 x 817040425928351/2475880078570760549798248448) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 z -15000000000000000242592589425143752171442590682298702164513366444408123029505368265420028374466080464322857995497759447267448258701239376092986231003818471376651523647846903893371408848739498321063370344060599703140542242066527470465408156303803523166999945412608) (*.f64 y (neg.f64 z)) (+.f64 x 1))
(+.f64 x 1)
(if (<=.f64 x -3804640965202595/1152921504606846976) x (if (<=.f64 x 2206763817411543/9007199254740992) 1 x))
1

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1))
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(if (<=.f64 x -7891867750444299/77371252455336267181195264) (+.f64 (cos.f64 y) x) (if (<=.f64 x 4499999999999999955364839849957273894912) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x 1)))
(if (<=.f64 x -7891867750444299/77371252455336267181195264) (+.f64 x (cos.f64 y)) (if (<=.f64 x 4499999999999999955364839849957273894912) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (+.f64 x 1)))
(if (<=.f64 z -3099999999999999910618994692850482093206721617458230532572463920521267715131340781521592099971915123090226215471360974731526079043687918787374113260102848169786391060188265185280) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 5199999999999999863816930278946988071824636501801425463416317255247208537875267370223098220636868305719719257815203634686447250499318418161733575816186070044250932034236713225578086400) (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))
(if (or (<=.f64 z -3099999999999999910618994692850482093206721617458230532572463920521267715131340781521592099971915123090226215471360974731526079043687918787374113260102848169786391060188265185280) (not (<=.f64 z 5199999999999999863816930278946988071824636501801425463416317255247208537875267370223098220636868305719719257815203634686447250499318418161733575816186070044250932034236713225578086400))) (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(if (<=.f64 y -6456360425798343/1152921504606846976) (+.f64 (cos.f64 y) x) (if (<=.f64 y 5404319552844595/2251799813685248) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -6456360425798343/1152921504606846976) (not (<=.f64 y 5404319552844595/2251799813685248))) (+.f64 x (cos.f64 y)) (+.f64 1 (-.f64 x (*.f64 y z))))
(if (<=.f64 y -100000) (+.f64 x 1) (if (<=.f64 y 11000000000000000320044996666624807509396513882112) (+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z))) (+.f64 x 1)))
(if (<=.f64 y -100000) (+.f64 x 1) (if (<=.f64 y 11000000000000000320044996666624807509396513882112) (+.f64 (+.f64 x 1) (.f64 y (-.f64 (.f64 y -1/2) z))) (+.f64 x 1)))
(if (<=.f64 y -16500) (+.f64 x 1) (if (<=.f64 y 1649999999999999898229407744) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 x 1)))
(if (<=.f64 x -7724745845140773/39614081257132168796771975168) (+.f64 x 1) (if (<=.f64 x 817040425928351/2475880078570760549798248448) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 z -15000000000000000242592589425143752171442590682298702164513366444408123029505368265420028374466080464322857995497759447267448258701239376092986231003818471376651523647846903893371408848739498321063370344060599703140542242066527470465408156303803523166999945412608) (*.f64 y (neg.f64 z)) (+.f64 x 1))
(+.f64 x 1)
(if (<=.f64 x -3804640965202595/1152921504606846976) x (if (<=.f64 x 2206763817411543/9007199254740992) 1 x))
1

Compiler

Compiled 209 to 149 computations (28.7% saved)

soundness0.0ms (0%)

end81.0ms (0.7%)

Compiler: Compiled 176 to 99 computations (43.8% saved)