Details

analyze229.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.2s (20.8%)

Results

1.2s	6246×	body	256	valid
754.0ms	1358×	body	1024	valid
256.0ms	649×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess94.0ms (0.9%)

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

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series8.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(-.f64 (+.f64 x (cos.f64 y)) (*.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	@	0	(*.f64 z (sin.f64 y))
0.0ms	z	@	inf	(*.f64 z (sin.f64 y))

rewrite116.0ms (1.1%)

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

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

simplify205.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1090×	`associate-r`
942×	`associate-l`
730×	`associate-/l*`
728×	`+-commutative`
694×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	739	19795
1	2132	18633

Stop Event

1×	node limit

Counts

361 → 444

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (cos.f64 y)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (cos.f64 y)))) 1)
(-.f64 (+.f64 (cos.f64 y) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (+.f64 x (cos.f64 y)) 1)
(*.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(.f64 (/.f64 1 (-.f64 x (cos.f64 y))) (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)))
(.f64 (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (+.f64 x (cos.f64 y)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (.f64 x x) (.f64 (cos.f64 y) (+.f64 x (cos.f64 y)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 (.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (.f64 (.f64 x x) (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(/.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))))
(/.f64 1 (/.f64 1 (+.f64 x (cos.f64 y))))
(/.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)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 1 (-.f64 (.f64 x x) (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y)))))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3))) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y)))) (.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1) (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y))))) 1) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) 3)) 1) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 z (neg.f64 (sin.f64 y)))) (.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))) (/.f64 1 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (+.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (+.f64 (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) 1) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))

Outputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (.f64 (.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x)) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(exp.f64 (.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) 1))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))
(-.f64 (fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)

localize32.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (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)))))))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

77 → 82

Calls

Call 1

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

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

eval226.0ms (2.2%)

Compiler: Compiled 17785 to 5258 computations (70.4% saved)

prune206.0ms (2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	667	16	683
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	669	16	685

Error

0.0b

Counts

685 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	25.7b	(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
	21.8b	(fma.f64 (sin.f64 y) (neg.f64 z) x)
	28.1b	(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z z) (.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))))) (+.f64 x (-.f64 (cos.f64 y) (.f64 z (neg.f64 (sin.f64 y))))))
▶	0.2b	(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
▶	0.1b	(-.f64 (+.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
	26.3b	(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
▶	8.6b	(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
	25.7b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	21.8b	(-.f64 x (*.f64 z (sin.f64 y)))
	29.4b	(+.f64 (+.f64 1 x) (.f64 y (-.f64 (.f64 y -1/2) z)))
▶	16.5b	(+.f64 (cos.f64 y) x)
	0.1b	(+.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))))))
	24.0b	(+.f64 1 (-.f64 x (*.f64 y z)))
▶	24.8b	(+.f64 1 x)
	46.6b	(*.f64 (sin.f64 y) (neg.f64 z))
	37.7b	x

Compiler

Compiled 394 to 263 computations (33.2% saved)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (log.f64 (exp.f64 (cos.f64 y))))
✓	0.1b	(exp.f64 (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.4b	(log.f64 (exp.f64 (cos.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1592×	`add-cube-cbrt`
1574×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	176	25
2	2108	25

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(log.f64 (exp.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(+.f64 x (log.f64 (exp.f64 (cos.f64 y))))

Outputs

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

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

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1206×	`unswap-sqr`
1124×	`fma-def`
1040×	`distribute-lft-in`
970×	`distribute-rgt-in`
540×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1674
1	414	1636
2	1886	1612

Stop Event

1×	node limit

Counts

114 → 117

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(exp.f64 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 0 (cos.f64 y))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 y)))) 1)
(*.f64 (exp.f64 (cos.f64 y)) 1)
(*.f64 1 (exp.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 y) x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(*.f64 1 (+.f64 (cos.f64 y) x))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(.f64 (-.f64 (.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 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 1 (/.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 (*.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 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (.f64 x x) (.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (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)))))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (.f64 (.f64 -1/2 y) y)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) (.f64 (.f64 -1/2 y) y)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (E.f64))
(.f64 (fma.f64 -1/2 (.f64 y y) 1) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64)))
(+.f64 (E.f64) (.f64 (E.f64) (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 (pow.f64 y 4) 1/6))))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/6)) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (.f64 (pow.f64 y 4) (E.f64)) (fma.f64 -31/720 (.f64 (pow.f64 y 6) (E.f64)) (E.f64))))
(+.f64 (.f64 (E.f64) (+.f64 (.f64 (pow.f64 y 4) 1/6) (.f64 (pow.f64 y 6) -31/720))) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(fma.f64 (E.f64) (fma.f64 (pow.f64 y 4) 1/6 (.f64 (pow.f64 y 6) -31/720)) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)
(fma.f64 -1/2 (*.f64 y y) (+.f64 1 x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (fma.f64 1/24 (pow.f64 y 4) x))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(cos.f64 y)
(+.f64 0 (cos.f64 y))
(cos.f64 y)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(cos.f64 y)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 y)))) 1)
(exp.f64 (cos.f64 y))
(*.f64 (exp.f64 (cos.f64 y)) 1)
(exp.f64 (cos.f64 y))
(*.f64 1 (exp.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2))
(exp.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2) (cbrt.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (cos.f64 y)) 1)
(exp.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) 2)
(exp.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3)
(exp.f64 (cos.f64 y))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1/3)
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 1) (cos.f64 y))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 2))
(exp.f64 (cos.f64 y))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (cos.f64 y)))))
(exp.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3))
(exp.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 y) x))) 1)
(+.f64 (cos.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) x)
(*.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) x)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 (cos.f64 y) x)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(+.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 (cos.f64 y) x)
(.f64 (-.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.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)) (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 1 (/.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) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (.f64 x x) (.f64 (cos.f64 y) x))))
(.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.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 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(+.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(+.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(+.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(+.f64 (cos.f64 y) x)
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(+.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) x))))
(+.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(+.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(+.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(+.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) 1))
(+.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(+.f64 (cos.f64 y) x)
(fma.f64 1 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)

localize7.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 7

Calls

6 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

41 → 52

Calls

Call 1

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

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

localize48.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 11 computations (54.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`*-commutative`
912×	`associate-*r/`
802×	`associate-*l/`
750×	`distribute-lft-in`
722×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	234	23
2	3121	23

Stop Event

1×	node limit

Counts

1 → 160

Calls

Call 1

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

Outputs

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

simplify152.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate-+l-`
794×	`associate-+r-`
770×	`associate--r+`
744×	`fma-def`
684×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	12768
1	1244	10856
2	5902	10852

Stop Event

1×	node limit

Counts

196 → 243

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
✓	0.1b	(/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))

Compiler

Compiled 55 to 15 computations (72.7% saved)

series7.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite131.0ms (1.3%)

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	87
1	306	87
2	3925	87

Stop Event

1×	node limit

Counts

3 → 289

Calls

Call 1

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

Outputs

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

simplify187.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

888×	`associate-/l*`
828×	`associate-r`
678×	`associate-l`
676×	`associate-/r*`
652×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	24627
1	2071	24189

Stop Event

1×	node limit

Counts

397 → 462

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

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

eval431.0ms (4.1%)

Compiler: Compiled 26794 to 10086 computations (62.4% saved)

prune629.0ms (6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	965	10	975
Fresh	4	7	11
Picked	1	0	1
Done	2	2	4
Total	972	19	991

Error

Counts

991 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	21.8b	(fma.f64 (sin.f64 y) (neg.f64 z) x)
	28.1b	(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (.f64 (.f64 z z) (.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))))) (+.f64 x (-.f64 (cos.f64 y) (.f64 z (neg.f64 (sin.f64 y))))))
	46.7b	(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
▶	37.8b	(/.f64 1 (/.f64 1 x))
▶	0.1b	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
	24.0b	(-.f64 (+.f64 x 1) (*.f64 y z))
▶	16.6b	(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
	25.7b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	21.8b	(-.f64 x (*.f64 z (sin.f64 y)))
	34.0b	(-.f64 1 (*.f64 z (sin.f64 y)))
	34.7b	(+.f64 (+.f64 1 (.f64 y (.f64 y -1/2))) x)
▶	16.6b	(+.f64 (log.f64 (exp.f64 (cos.f64 y))) x)
✓	16.5b	(+.f64 (cos.f64 y) x)
	0.1b	(+.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))))))
	16.6b	(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
✓	24.8b	(+.f64 1 x)
▶	46.6b	(*.f64 (sin.f64 y) (neg.f64 z))
	41.8b	(cos.f64 y)
	37.7b	x

Compiler

Compiled 405 to 283 computations (30.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 20 computations (53.5% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite110.0ms (1.1%)

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) 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)))))))

simplify123.0ms (1.2%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))

rewrite57.0ms (0.5%)

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))))))

simplify49.0ms (0.5%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
	0.0b	(+.f64 (cos.f64 y) x)
✓	0.1b	(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
✓	0.2b	(+.f64 1 (+.f64 (cos.f64 y) x))

Compiler

Compiled 26 to 12 computations (53.8% saved)

series1.0ms (0%)

Counts

2 → 31

Calls

12 calls:

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

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`associate-*l/`
1116×	`distribute-lft-in`
912×	`*-commutative`
432×	`associate-+l+`
318×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	223	28
2	3163	28

Stop Event

1×	node limit

Counts

2 → 223

Calls

Call 1

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

Outputs

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

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1086×	`distribute-lft-in`
1022×	`distribute-rgt-in`
630×	`associate-/l*`
580×	`+-commutative`
566×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	13616
1	1889	13278

Stop Event

1×	node limit

Counts

254 → 391

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.0b	(+.f64 (log.f64 (exp.f64 (cos.f64 y))) x)
	0.1b	(exp.f64 (cos.f64 y))
	0.4b	(log.f64 (exp.f64 (cos.f64 y)))

Compiler

Compiled 20 to 7 computations (65% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1592×	`add-cube-cbrt`
1574×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	176	11
2	2108	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (log.f64 (exp.f64 (cos.f64 y))) x)

Outputs

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1202×	`associate-r`
1082×	`associate-l`
930×	`associate-+r+`
646×	`associate-+l+`
546×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	1139
1	264	1089
2	922	1089
3	4955	1089

Stop Event

1×	node limit

Counts

59 → 52

Calls

Call 1

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

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

eval546.0ms (5.2%)

Compiler: Compiled 28721 to 13022 computations (54.7% saved)

prune496.0ms (4.7%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1234	11	1245
Fresh	4	8	12
Picked	1	0	1
Done	2	4	6
Total	1241	23	1264

Error

Counts

1264 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	46.7b	(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
✓	37.8b	(/.f64 1 (/.f64 1 x))
	33.3b	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) 1) (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	29.8b	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) 1) (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z)))
	25.7b	(-.f64 (/.f64 (cos.f64 y) 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
	21.8b	(-.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
	24.0b	(-.f64 (+.f64 x 1) (*.f64 y z))
▶	41.8b	(-.f64 (+.f64 1 (cos.f64 y)) 1)
▶	25.7b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	21.8b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	37.2b	(-.f64 x 1)
	34.0b	(-.f64 1 (*.f64 z (sin.f64 y)))
	16.6b	(+.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) 1)
	34.7b	(+.f64 (+.f64 1 (.f64 y (.f64 y -1/2))) x)
✓	16.5b	(+.f64 (cos.f64 y) x)
✓	24.8b	(+.f64 1 x)
	36.5b	(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 z -1/2)) (sqrt.f64 z))
▶	0.1b	(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) (/.f64 -1 z)) (+.f64 (cos.f64 y) x))
✓	46.6b	(*.f64 (sin.f64 y) (neg.f64 z))
	57.4b	(*.f64 y (neg.f64 z))
	57.5b	(sqrt.f64 (*.f64 x x))
▶	41.8b	(cos.f64 y)
	37.7b	x

Compiler

Compiled 457 to 332 computations (27.4% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))
✓	0.1b	(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) (/.f64 -1 z)) (+.f64 (cos.f64 y) x))
✓	0.1b	(/.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) (/.f64 -1 z))
✓	0.2b	(/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))

Compiler

Compiled 71 to 26 computations (63.4% saved)

series17.0ms (0.2%)

Counts

4 → 124

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) (/.f64 -1 z))
2.0ms	y	@	-inf	(/.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) (/.f64 -1 z))
1.0ms	x	@	inf	(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) (/.f64 -1 z)) (+.f64 (cos.f64 y) x))
1.0ms	y	@	0	(/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))
1.0ms	y	@	inf	(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) (/.f64 -1 z)) (+.f64 (cos.f64 y) x))

rewrite135.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`distribute-lft-in`
1350×	`associate-/l/`
368×	`add-sqr-sqrt`
364×	`pow1`
364×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	160
1	345	156
2	5349	148

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

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

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

simplify177.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/r*`
1340×	`associate-/l*`
914×	`distribute-lft-in`
796×	`associate-*r/`
766×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	888	24786
1	3085	24526

Stop Event

1×	node limit

Counts

378 → 549

Calls

Call 1

Inputs
(/.f64 y (+.f64 1 x))
(+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x))))) (/.f64 y (+.f64 1 x)))
(+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x))))) (+.f64 (.f64 (pow.f64 y 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x)))))) (/.f64 y (+.f64 1 x))))
(+.f64 (.f64 (pow.f64 y 7) (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x))) (+.f64 (.f64 1/5040 (/.f64 1 (+.f64 1 x))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x))))) (+.f64 1 x))))))) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x))))) (+.f64 (.f64 (pow.f64 y 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x)))))) (/.f64 y (+.f64 1 x)))))
(/.f64 (sin.f64 y) (cos.f64 y))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 -1 (/.f64 (.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 3)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 4))) (+.f64 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 3)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2))))))
(/.f64 (sin.f64 y) x)
(+.f64 (/.f64 (sin.f64 y) x) (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))))
(+.f64 (/.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) (pow.f64 x 3))))
(+.f64 (/.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (sin.f64 y)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) (pow.f64 x 3)))))
(/.f64 (sin.f64 y) x)
(+.f64 (/.f64 (sin.f64 y) x) (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))))
(+.f64 (/.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) (pow.f64 x 3))))
(+.f64 (/.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (sin.f64 y)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) (pow.f64 x 3)))))
1
(+.f64 1 (.f64 -1 (/.f64 (.f64 y z) (+.f64 1 x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y z) (+.f64 1 x))) (.f64 -1 (.f64 (pow.f64 y 3) (.f64 z (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x)))))))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (.f64 z (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x)))))))) (+.f64 (.f64 -1 (/.f64 (.f64 y z) (+.f64 1 x))) (.f64 -1 (.f64 (pow.f64 y 3) (.f64 z (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x))))))))))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(.f64 -1 (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z))))
(+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) x)) (pow.f64 (cos.f64 y) 2)) (.f64 -1 (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z)))))
(+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) x)) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 -1 (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z)))) (.f64 -1 (/.f64 (.f64 z (*.f64 (sin.f64 y) (pow.f64 x 2))) (pow.f64 (cos.f64 y) 3)))))
(+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) x)) (pow.f64 (cos.f64 y) 2)) (+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (pow.f64 x 3))) (pow.f64 (cos.f64 y) 4)) (+.f64 (.f64 -1 (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z)))) (.f64 -1 (/.f64 (.f64 z (*.f64 (sin.f64 y) (pow.f64 x 2))) (pow.f64 (cos.f64 y) 3))))))
1
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) x)))
(+.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 x 2)) (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (sin.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) x)) (/.f64 (.f64 z (*.f64 (cos.f64 y) (sin.f64 y))) (pow.f64 x 2)))))
1
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) x)))
(+.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 x 2)) (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) x)) (+.f64 (.f64 -1 (/.f64 (.f64 z (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (pow.f64 x 3))) (/.f64 (.f64 z (*.f64 (cos.f64 y) (sin.f64 y))) (pow.f64 x 2)))))
1
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)))
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(+.f64 1 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (/.f64 z (+.f64 1 x))) (.f64 (+.f64 1 x) (.f64 z (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x))))))))) x))))
(.f64 -1 (.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z)))
(.f64 -1 (.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z)))
(.f64 -1 (.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z)))
(.f64 -1 (.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z)))
(.f64 -1 (.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z)))
(.f64 -1 (.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z)))
(.f64 -1 (.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z)))
(.f64 -1 (.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z)))
(.f64 -1 (.f64 (cos.f64 y) (*.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z))) (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))) x)) (.f64 -1 (.f64 (cos.f64 y) (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z))) (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))) x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2))) (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2))) (pow.f64 x 2))) (.f64 -1 (.f64 (cos.f64 y) (*.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z))) (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y)))) x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2))) (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 3))) (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 3))) (pow.f64 x 3))) (.f64 -1 (.f64 (cos.f64 y) (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z))))))))
x
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(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y)) (.f64 (neg.f64 z) 1)) (.f64 1 (*.f64 (neg.f64 z) (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y)))))
(/.f64 (+.f64 (neg.f64 (+.f64 (cos.f64 y) x)) (.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) (.f64 (neg.f64 z) (neg.f64 (+.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (neg.f64 (+.f64 (cos.f64 y) x)) (.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) (.f64 1 (*.f64 (neg.f64 z) (neg.f64 (+.f64 (cos.f64 y) x)))))
(pow.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))))
(fma.f64 (sin.f64 y) (/.f64 1 (+.f64 (cos.f64 y) x)) (/.f64 -1 z))
(fma.f64 -1 (/.f64 1 z) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)))
(fma.f64 1 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))
(fma.f64 1 (/.f64 -1 z) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)))
(fma.f64 (sqrt.f64 (/.f64 -1 z)) (sqrt.f64 (/.f64 -1 z)) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) (sqrt.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) (/.f64 -1 z))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 z)) 2) (/.f64 -1 (cbrt.f64 z)) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) (/.f64 -1 z))

Outputs
(/.f64 y (+.f64 1 x))
(+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x))))) (/.f64 y (+.f64 1 x)))
(fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x))) (/.f64 y (+.f64 1 x)))
(fma.f64 (pow.f64 y 3) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x))) (/.f64 y (+.f64 1 x)))
(+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x))))) (+.f64 (.f64 (pow.f64 y 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x)))))) (/.f64 y (+.f64 1 x))))
(fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x))) (fma.f64 (pow.f64 y 5) (-.f64 (/.f64 1/120 (+.f64 1 x)) (+.f64 (/.f64 1/24 (pow.f64 (+.f64 1 x) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x))) (+.f64 1 x))))) (/.f64 y (+.f64 1 x))))
(fma.f64 (pow.f64 y 3) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x))) (fma.f64 (pow.f64 y 5) (-.f64 (-.f64 (/.f64 1/120 (+.f64 1 x)) (/.f64 1/24 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x))) (+.f64 1 x)))) (/.f64 y (+.f64 1 x))))
(+.f64 (.f64 (pow.f64 y 7) (-.f64 (.f64 1/720 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x))) (+.f64 (.f64 1/5040 (/.f64 1 (+.f64 1 x))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x))))) (+.f64 1 x))))))) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x))))) (+.f64 (.f64 (pow.f64 y 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x)))))) (/.f64 y (+.f64 1 x)))))
(fma.f64 (pow.f64 y 7) (-.f64 (/.f64 1/720 (pow.f64 (+.f64 1 x) 2)) (fma.f64 1/24 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x))) (+.f64 1 x)) (+.f64 (/.f64 1/5040 (+.f64 1 x)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 1 x)) (+.f64 (/.f64 1/24 (pow.f64 (+.f64 1 x) 2)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x))) (+.f64 1 x))))) (+.f64 1 x)))))) (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x))) (fma.f64 (pow.f64 y 5) (-.f64 (/.f64 1/120 (+.f64 1 x)) (+.f64 (/.f64 1/24 (pow.f64 (+.f64 1 x) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x))) (+.f64 1 x))))) (/.f64 y (+.f64 1 x)))))
(fma.f64 (pow.f64 y 7) (-.f64 (/.f64 1/720 (pow.f64 (+.f64 1 x) 2)) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x))) (+.f64 1 x)) (+.f64 (/.f64 1/5040 (+.f64 1 x)) (.f64 -1/2 (/.f64 (-.f64 (-.f64 (/.f64 1/120 (+.f64 1 x)) (/.f64 1/24 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x))) (+.f64 1 x)))) (+.f64 1 x)))))) (fma.f64 (pow.f64 y 3) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x))) (fma.f64 (pow.f64 y 5) (-.f64 (-.f64 (/.f64 1/120 (+.f64 1 x)) (/.f64 1/24 (pow.f64 (+.f64 1 x) 2))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x))) (+.f64 1 x)))) (/.f64 y (+.f64 1 x)))))
(/.f64 (sin.f64 y) (cos.f64 y))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 -1 (/.f64 (.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) 2))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) x)))
(+.f64 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 3)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2)))))
(+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) 2)))) (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 x x))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) x)) (/.f64 (.f64 (sin.f64 y) (.f64 x x)) (pow.f64 (cos.f64 y) 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 4))) (+.f64 (/.f64 (.f64 (sin.f64 y) (pow.f64 x 2)) (pow.f64 (cos.f64 y) 3)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) 2))))))
(fma.f64 -1 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) 2)))) (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 x x)))))
(fma.f64 -1 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) x)) (/.f64 (.f64 (sin.f64 y) (.f64 x x)) (pow.f64 (cos.f64 y) 3)))))
(/.f64 (sin.f64 y) x)
(+.f64 (/.f64 (sin.f64 y) x) (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))))
(+.f64 (/.f64 (sin.f64 y) x) (neg.f64 (/.f64 (cos.f64 y) (/.f64 (*.f64 x x) (sin.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) x) (/.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 x x) (sin.f64 y))))
(+.f64 (/.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) (pow.f64 x 3))))
(+.f64 (/.f64 (sin.f64 y) x) (fma.f64 -1 (/.f64 (cos.f64 y) (/.f64 (*.f64 x x) (sin.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 x 3) (sin.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) x) (fma.f64 -1 (/.f64 (sin.f64 y) (/.f64 (*.f64 x x) (cos.f64 y))) (/.f64 (sin.f64 y) (/.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 2)))))
(+.f64 (/.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (sin.f64 y)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) (pow.f64 x 3)))))
(+.f64 (/.f64 (sin.f64 y) x) (fma.f64 -1 (/.f64 (cos.f64 y) (/.f64 (*.f64 x x) (sin.f64 y))) (fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 3) (/.f64 (pow.f64 x 4) (sin.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 x 3) (sin.f64 y))))))
(+.f64 (/.f64 (sin.f64 y) x) (fma.f64 -1 (/.f64 (sin.f64 y) (/.f64 (.f64 x x) (cos.f64 y))) (fma.f64 -1 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 4)) (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 2))))))
(/.f64 (sin.f64 y) x)
(+.f64 (/.f64 (sin.f64 y) x) (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))))
(+.f64 (/.f64 (sin.f64 y) x) (neg.f64 (/.f64 (cos.f64 y) (/.f64 (*.f64 x x) (sin.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) x) (/.f64 (neg.f64 (cos.f64 y)) (/.f64 (*.f64 x x) (sin.f64 y))))
(+.f64 (/.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) (pow.f64 x 3))))
(+.f64 (/.f64 (sin.f64 y) x) (fma.f64 -1 (/.f64 (cos.f64 y) (/.f64 (*.f64 x x) (sin.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 x 3) (sin.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) x) (fma.f64 -1 (/.f64 (sin.f64 y) (/.f64 (*.f64 x x) (cos.f64 y))) (/.f64 (sin.f64 y) (/.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 2)))))
(+.f64 (/.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 y) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (sin.f64 y)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)) (pow.f64 x 3)))))
(+.f64 (/.f64 (sin.f64 y) x) (fma.f64 -1 (/.f64 (cos.f64 y) (/.f64 (*.f64 x x) (sin.f64 y))) (fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 3) (/.f64 (pow.f64 x 4) (sin.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 x 3) (sin.f64 y))))))
(+.f64 (/.f64 (sin.f64 y) x) (fma.f64 -1 (/.f64 (sin.f64 y) (/.f64 (.f64 x x) (cos.f64 y))) (fma.f64 -1 (.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 4)) (sin.f64 y)) (/.f64 (sin.f64 y) (/.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 2))))))
1
(+.f64 1 (.f64 -1 (/.f64 (.f64 y z) (+.f64 1 x))))
(+.f64 1 (/.f64 (neg.f64 (*.f64 y z)) (+.f64 1 x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y z) (+.f64 1 x))) (.f64 -1 (.f64 (pow.f64 y 3) (.f64 z (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x)))))))))
(+.f64 1 (.f64 -1 (+.f64 (/.f64 y (/.f64 (+.f64 1 x) z)) (.f64 (*.f64 (pow.f64 y 3) z) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x)))))))
(+.f64 1 (.f64 -1 (+.f64 (.f64 (/.f64 y (+.f64 1 x)) z) (.f64 (.f64 (pow.f64 y 3) z) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x)))))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (.f64 z (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 x))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 x)))) (+.f64 1 x)))))))) (+.f64 (.f64 -1 (/.f64 (.f64 y z) (+.f64 1 x))) (.f64 -1 (.f64 (pow.f64 y 3) (.f64 z (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 x))))))))))
(+.f64 1 (fma.f64 -1 (.f64 (pow.f64 y 5) (.f64 (-.f64 (/.f64 1/120 (+.f64 1 x)) (+.f64 (/.f64 1/24 (pow.f64 (+.f64 1 x) 2)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x))) (+.f64 1 x))))) z)) (.f64 -1 (+.f64 (/.f64 y (/.f64 (+.f64 1 x) z)) (.f64 (.f64 (pow.f64 y 3) z) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/6 (+.f64 1 x))))))))
(+.f64 1 (fma.f64 -1 (.f64 (.f64 (pow.f64 y 5) z) (-.f64 (-.f64 (/.f64 1/120 (+.f64 1 x)) (/.f64 1/24 (pow.f64 (+.f64 1 x) 2))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x))) (+.f64 1 x))))) (.f64 -1 (+.f64 (.f64 (/.f64 y (+.f64 1 x)) z) (.f64 (*.f64 (pow.f64 y 3) z) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 x) 2)) (/.f64 -1/6 (+.f64 1 x))))))))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(neg.f64 (*.f64 z (-.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 1 z))))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(neg.f64 (*.f64 z (-.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 1 z))))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(neg.f64 (*.f64 z (-.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 1 z))))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(neg.f64 (*.f64 z (-.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 1 z))))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(neg.f64 (*.f64 z (-.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 1 z))))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(neg.f64 (*.f64 z (-.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 1 z))))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(neg.f64 (*.f64 z (-.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 1 z))))
(.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 1 z)) z))
(neg.f64 (*.f64 z (-.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 1 z))))
(.f64 -1 (.f64 z (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 1 z)))
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(/.f64 (+.f64 (cos.f64 y) (+.f64 x (.f64 (neg.f64 z) (sin.f64 y)))) (.f64 (neg.f64 z) (+.f64 (cos.f64 y) x)))
(/.f64 (fma.f64 -1 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (.f64 z (neg.f64 (+.f64 x (cos.f64 y)))))
(/.f64 (fma.f64 -1 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (.f64 z (-.f64 (neg.f64 x) (cos.f64 y))))
(/.f64 (+.f64 (cos.f64 y) (+.f64 x (.f64 (neg.f64 z) (sin.f64 y)))) (.f64 1 (*.f64 (neg.f64 z) (+.f64 (cos.f64 y) x))))
(/.f64 (fma.f64 -1 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (.f64 z (neg.f64 (+.f64 x (cos.f64 y)))))
(/.f64 (fma.f64 -1 (.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (.f64 z (-.f64 (neg.f64 x) (cos.f64 y))))
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y)) (.f64 (neg.f64 z) 1)) (.f64 (neg.f64 z) (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y))))
(/.f64 (+.f64 (/.f64 (+.f64 x (cos.f64 y)) (sin.f64 y)) (neg.f64 z)) (*.f64 (/.f64 (+.f64 x (cos.f64 y)) (sin.f64 y)) (neg.f64 z)))
(/.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y)) (.f64 (neg.f64 z) 1)) (.f64 1 (*.f64 (neg.f64 z) (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y)))))
(/.f64 (+.f64 (/.f64 (+.f64 x (cos.f64 y)) (sin.f64 y)) (neg.f64 z)) (*.f64 (/.f64 (+.f64 x (cos.f64 y)) (sin.f64 y)) (neg.f64 z)))
(/.f64 (+.f64 (neg.f64 (+.f64 (cos.f64 y) x)) (.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) (.f64 (neg.f64 z) (neg.f64 (+.f64 (cos.f64 y) x))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (neg.f64 (+.f64 x (cos.f64 y)))) (*.f64 (neg.f64 (+.f64 x (cos.f64 y))) (neg.f64 z)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (-.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (-.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 z)))
(/.f64 (+.f64 (neg.f64 (+.f64 (cos.f64 y) x)) (.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) (.f64 1 (*.f64 (neg.f64 z) (neg.f64 (+.f64 (cos.f64 y) x)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (neg.f64 (+.f64 x (cos.f64 y)))) (*.f64 (neg.f64 (+.f64 x (cos.f64 y))) (neg.f64 z)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 z) (-.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (-.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 z)))
(pow.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) 1)
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))) 2)
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))) 3)
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(pow.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) 3) 1/3)
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)))))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z)) 3))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(exp.f64 (log.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))) 1))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(fma.f64 (sin.f64 y) (/.f64 1 (+.f64 (cos.f64 y) x)) (/.f64 -1 z))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(fma.f64 -1 (/.f64 1 z) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(fma.f64 1 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 -1 z))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(fma.f64 1 (/.f64 -1 z) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(fma.f64 (sqrt.f64 (/.f64 -1 z)) (sqrt.f64 (/.f64 -1 z)) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)))
(fma.f64 (sqrt.f64 (/.f64 -1 z)) (sqrt.f64 (/.f64 -1 z)) (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) (sqrt.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) (/.f64 -1 z))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 z)) 2) (/.f64 -1 (cbrt.f64 z)) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 z)) 2) (/.f64 -1 (cbrt.f64 z)) (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) (/.f64 -1 z))
(+.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (/.f64 -1 z))

localize4.0ms (0%)

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.3b	(-.f64 (+.f64 1 (cos.f64 y)) 1)
✓	0.4b	(+.f64 1 (cos.f64 y))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series0.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`add-sqr-sqrt`
1650×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1532×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	172	16
2	2305	16

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-/l*`
968×	`associate-+r+`
952×	`associate-/r*`
812×	`associate-+l+`
684×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1686
1	412	1560
2	2188	1552

Stop Event

1×	node limit

Counts

92 → 108

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`*-commutative`
748×	`unswap-sqr`
548×	`swap-sqr`
422×	`distribute-lft-in`
416×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	189	21
2	2494	21

Stop Event

1×	node limit

Counts

1 → 145

Calls

Call 1

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

Outputs

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simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-*r/`
1224×	`associate-+r+`
1216×	`associate-+l+`
978×	`+-commutative`
714×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	12013
1	1158	10763
2	4816	10571

Stop Event

1×	node limit

Counts

161 → 236

Calls

Call 1

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

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

eval325.0ms (3.1%)

Compiler: Compiled 28815 to 11346 computations (60.6% saved)

prune238.0ms (2.3%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	990	6	996
Fresh	2	12	14
Picked	0	1	1
Done	1	7	8
Total	993	26	1019

Error

Counts

1019 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	46.7b	(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
✓	37.8b	(/.f64 1 (/.f64 1 x))
	33.3b	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) 1) (.f64 (.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	29.8b	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) 1) (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) z)))
	25.7b	(-.f64 (/.f64 (cos.f64 y) 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
	21.8b	(-.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
	24.0b	(-.f64 (+.f64 x 1) (*.f64 y z))
✓	41.8b	(-.f64 (+.f64 1 (cos.f64 y)) 1)
✓	25.7b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	21.8b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	37.2b	(-.f64 x 1)
	34.0b	(-.f64 1 (*.f64 z (sin.f64 y)))
	45.0b	(-.f64 1 (*.f64 y z))
	16.6b	(+.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) 1)
	41.8b	(+.f64 (+.f64 (cos.f64 y) -1) 1)
	51.0b	(+.f64 (.f64 -1/2 (.f64 y y)) 1)
✓	16.5b	(+.f64 (cos.f64 y) x)
✓	24.8b	(+.f64 1 x)
	0.1b	(.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) (sin.f64 y)) (/.f64 -1 z)) (/.f64 -1 z)) (+.f64 (cos.f64 y) x))
	46.6b	(.f64 (.f64 (/.f64 (sin.f64 y) (+.f64 x (cos.f64 y))) (neg.f64 z)) (+.f64 (cos.f64 y) x))
✓	46.6b	(*.f64 (sin.f64 y) (neg.f64 z))
	57.4b	(*.f64 y (neg.f64 z))
	57.5b	(sqrt.f64 (*.f64 x x))
✓	41.8b	(cos.f64 y)
	37.7b	x
	49.8b	1

Compiler

Compiled 265 to 196 computations (26% saved)

regimes94.0ms (0.9%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	x
21.0ms	y
21.0ms	z
19.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

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

Compiler

Compiled 437 to 190 computations (56.5% saved)

regimes193.0ms (1.8%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	y
58.0ms	z
38.0ms	x

Results

Error	Segments	Branch
0.4b	3	`x`
4.8b	5	`y`
0.4b	3	`z`

Compiler

Compiled 180 to 98 computations (45.6% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	2.783758267965027e-7	9.257071092587942e-5
26.0ms	-1.0029330786472109e+21	-32472312889541624000.0

Results

31.0ms	186×	body	256	valid
17.0ms	41×	body	1024	valid
4.0ms	13×	body	512	valid

Compiler

Compiled 318 to 238 computations (25.2% saved)

regimes178.0ms (1.7%)

Counts

23 → 5

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	x
55.0ms	z
52.0ms	y

Results

Error	Segments	Branch
6.9b	6	`x`
6.3b	5	`y`
2.5b	5	`z`

Compiler

Compiled 141 to 82 computations (41.8% saved)

bsearch135.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
30.0ms	2.783758267965027e-7	9.257071092587942e-5
41.0ms	-7.0786371862387225e+56	-2.943854301170101e+36
28.0ms	-1.4740573235707885e+90	-2.1823812617458765e+88
35.0ms	-7.620719504666662e+139	-2.086343058931367e+134

Results

65.0ms	417×	body	256	valid
54.0ms	115×	body	1024	valid
8.0ms	28×	body	512	valid

Compiler

Compiled 632 to 486 computations (23.1% saved)

regimes123.0ms (1.2%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	x
35.0ms	z
34.0ms	y

Results

Error	Segments	Branch
12.6b	5	`x`
10.0b	4	`y`
7.8b	3	`z`

Compiler

Compiled 105 to 63 computations (40% saved)

bsearch65.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.437228813686145e+162	8.219238786538584e+163
37.0ms	-7.0786371862387225e+56	-2.943854301170101e+36

Results

33.0ms	217×	body	256	valid
23.0ms	50×	body	1024	valid
6.0ms	21×	body	512	valid

Compiler

Compiled 342 to 265 computations (22.5% saved)

regimes69.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	z
24.0ms	y
9.0ms	x

Results

Error	Segments	Branch
16.5b	1	`x`
11.0b	3	`y`
8.7b	3	`z`

Compiler

Compiled 99 to 60 computations (39.4% saved)

bsearch59.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.437228813686145e+162	8.219238786538584e+163
34.0ms	-7.620719504666662e+139	-2.086343058931367e+134

Results

27.0ms	185×	body	256	valid
24.0ms	51×	body	1024	valid
6.0ms	20×	body	512	valid

Compiler

Compiled 290 to 221 computations (23.8% saved)

regimes56.0ms (0.5%)

Counts

15 → 3

Calls

Call 1

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

23.0ms	y
22.0ms	z
8.0ms	x

Results

Error	Segments	Branch
16.5b	1	`x`
11.0b	3	`y`
12.7b	3	`z`

Compiler

Compiled 88 to 54 computations (38.6% saved)

bsearch49.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	30658948246815.375	1278206904236398800.0
26.0ms	-3.7309426828329156e+52	-8.023506181938885e+46

Results

46.0ms

272×

body

256

valid

Compiler

Compiled 341 to 251 computations (26.4% saved)

regimes88.0ms (0.8%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	y
22.0ms	z
22.0ms	x

Results

Error	Segments	Branch
16.8b	3	`x`
17.0b	6	`y`
20.9b	3	`z`

Compiler

Compiled 84 to 53 computations (36.9% saved)

bsearch60.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	2.1075113133761988e-43	6.432595590243845e-37
21.0ms	-28.137470695735406	-8.295951711156405

Results

30.0ms	66×	body	1024	valid
20.0ms	138×	body	256	valid
6.0ms	20×	body	512	valid

Compiler

Compiled 200 to 167 computations (16.5% saved)

regimes64.0ms (0.6%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	z
21.0ms	y
20.0ms	x

Results

Error	Segments	Branch
20.7b	3	`x`
19.1b	3	`y`
20.9b	3	`z`

Compiler

Compiled 78 to 50 computations (35.9% saved)

bsearch68.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	8.457639639899725e+80	1.2001407993582627e+94
24.0ms	-2.092860518696566e+59	-1.1711526010245641e+55

Results

34.0ms	116×	body	512	valid
30.0ms	172×	body	256	valid

Compiler

Compiled 342 to 265 computations (22.5% saved)

regimes36.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	z
14.0ms	x
6.0ms	y

Results

Error	Segments	Branch
21.2b	3	`x`
24.8b	1	`y`
23.4b	2	`z`

Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch51.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	2.3316498055279046e-28	1.4696234789134563e-27
24.0ms	-28.137470695735406	-8.295951711156405

Results

23.0ms	52×	body	1024	valid
17.0ms	99×	body	256	valid
9.0ms	25×	body	512	valid

Compiler

Compiled 194 to 156 computations (19.6% saved)

regimes22.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
24.8b	1	`x`
24.8b	1	`y`
23.4b	2	`z`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	-5.949841925160429e+248	-2.106103733511333e+246

Results

18.0ms	39×	body	1024	valid
11.0ms	75×	body	256	valid
5.0ms	14×	body	512	valid

Compiler

Compiled 138 to 109 computations (21% saved)

regimes14.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 1 x)

Calls

3 calls:

5.0ms	z
5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
24.8b	1	`x`
24.8b	1	`y`
24.8b	1	`z`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes30.0ms (0.3%)

Accuracy

Total -36.8b remaining (-144.9%)

Threshold costs -36.8b (-144.9%)

Counts

2 → 3

Calls

Call 1

Inputs
1
x

Outputs
x
1
x

Calls

3 calls:

11.0ms	y
9.0ms	z
9.0ms	x

Results

Error	Segments	Branch
25.4b	3	`x`
34.6b	3	`y`
36.2b	3	`z`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch73.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	1.6182764810842218e-9	0.009985321774041614
34.0ms	-2.060786080331849e-15	-3.3587668959454334e-18

Results

37.0ms	81×	body	1024	valid
25.0ms	164×	body	256	valid
8.0ms	27×	body	512	valid

Compiler

Compiled 188 to 166 computations (11.7% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
20×	`*-commutative`
16×	`if-if-or-not`
16×	`cancel-sign-sub-inv`
12×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	539
1	140	539
2	161	539
3	170	539
4	175	539
5	176	539

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z -33000000000000000000) (-.f64 (+.f64 x 1) (.f64 z (sin.f64 y))) (if (<=.f64 z 6788401819125115/73786976294838206464) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x 1) (.f64 z (sin.f64 y)))))
(if (<=.f64 z -210000000000000009737202988628633925208783728138831517820262191626482735562470771258952660500348070756239284612859326051009672203206656) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z -340000000000000018004933481170041261206633683853006774382421407095420579992236127942606848) (+.f64 1 x) (if (<=.f64 z -600000000000000011585558082980146105192257007027776126976) (-.f64 1 (.f64 z (sin.f64 y))) (if (<=.f64 z 6788401819125115/73786976294838206464) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))))
(if (<=.f64 z -130000000000000005413947115704373211012452334940440231936) (-.f64 1 (.f64 z (sin.f64 y))) (if (<=.f64 z 1450000000000000029757556807402878011406595105244089719540970386422786688371056503228915241276862250975359328089838301391968819348181860722058601469687405293338624) (+.f64 (cos.f64 y) x) (-.f64 1 (.f64 z (sin.f64 y)))))
(if (<=.f64 z -2500000000000000082103906223012315197467531415899029238780783565646867517246969988860003289069318531709873761960806088946621226585528729600) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 13499999999999999960141813995465377030770980479476642074213416287188873714856109197748714346874580073419512109149516492458658482847862227267482137827271982327005184) (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -81000000000000004768457862870272211162192936960) (+.f64 (cos.f64 y) x) (if (<=.f64 y 31000000000000) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -17/2) (+.f64 1 x) (if (<=.f64 x 1915619426082361/2993155353253689176481146537402947624255349848014848) (cos.f64 y) (+.f64 1 x)))
(if (<=.f64 y -520000000000000021655788462817492844049809339761760927744) (-.f64 x 1) (if (<=.f64 y 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (+.f64 1 (-.f64 x (*.f64 y z))) (-.f64 x 1)))
(if (<=.f64 x -17/2) (+.f64 1 x) (if (<=.f64 x 3902630409742859/2787593149816327892691964784081045188247552) (-.f64 1 (*.f64 y z)) (+.f64 1 x)))
(if (<=.f64 z -42999999999999998097581191186912792017844148007137009249936602527917920945039101316964953388254833697317838024308630825712962047818357933647126250687078169768178548732947655433305495021012496721159053547660148444154042193853002681116742455742431232) (*.f64 y (neg.f64 z)) (+.f64 1 x))
(+.f64 1 x)
(if (<=.f64 x -2535301200456459/1267650600228229401496703205376) x (if (<=.f64 x 2824657686286775/288230376151711744) 1 x))
1

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z -33000000000000000000) (-.f64 (+.f64 x 1) (.f64 z (sin.f64 y))) (if (<=.f64 z 6788401819125115/73786976294838206464) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x 1) (.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -33000000000000000000) (not (<=.f64 z 6788401819125115/73786976294838206464))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(if (<=.f64 z -210000000000000009737202988628633925208783728138831517820262191626482735562470771258952660500348070756239284612859326051009672203206656) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z -340000000000000018004933481170041261206633683853006774382421407095420579992236127942606848) (+.f64 1 x) (if (<=.f64 z -600000000000000011585558082980146105192257007027776126976) (-.f64 1 (.f64 z (sin.f64 y))) (if (<=.f64 z 6788401819125115/73786976294838206464) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))))
(if (<=.f64 z -210000000000000009737202988628633925208783728138831517820262191626482735562470771258952660500348070756239284612859326051009672203206656) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z -340000000000000018004933481170041261206633683853006774382421407095420579992236127942606848) (+.f64 x 1) (if (<=.f64 z -600000000000000011585558082980146105192257007027776126976) (-.f64 1 (.f64 z (sin.f64 y))) (if (<=.f64 z 6788401819125115/73786976294838206464) (+.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y)))))))
(if (<=.f64 z -130000000000000005413947115704373211012452334940440231936) (-.f64 1 (.f64 z (sin.f64 y))) (if (<=.f64 z 1450000000000000029757556807402878011406595105244089719540970386422786688371056503228915241276862250975359328089838301391968819348181860722058601469687405293338624) (+.f64 (cos.f64 y) x) (-.f64 1 (.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -130000000000000005413947115704373211012452334940440231936) (not (<=.f64 z 1450000000000000029757556807402878011406595105244089719540970386422786688371056503228915241276862250975359328089838301391968819348181860722058601469687405293338624))) (-.f64 1 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(if (<=.f64 z -2500000000000000082103906223012315197467531415899029238780783565646867517246969988860003289069318531709873761960806088946621226585528729600) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 13499999999999999960141813995465377030770980479476642074213416287188873714856109197748714346874580073419512109149516492458658482847862227267482137827271982327005184) (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))
(if (or (<=.f64 z -2500000000000000082103906223012315197467531415899029238780783565646867517246969988860003289069318531709873761960806088946621226585528729600) (not (<=.f64 z 13499999999999999960141813995465377030770980479476642074213416287188873714856109197748714346874580073419512109149516492458658482847862227267482137827271982327005184))) (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(if (<=.f64 y -81000000000000004768457862870272211162192936960) (+.f64 (cos.f64 y) x) (if (<=.f64 y 31000000000000) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -81000000000000004768457862870272211162192936960) (not (<=.f64 y 31000000000000))) (+.f64 x (cos.f64 y)) (+.f64 1 (-.f64 x (*.f64 y z))))
(if (<=.f64 x -17/2) (+.f64 1 x) (if (<=.f64 x 1915619426082361/2993155353253689176481146537402947624255349848014848) (cos.f64 y) (+.f64 1 x)))
(if (<=.f64 x -17/2) (+.f64 x 1) (if (<=.f64 x 1915619426082361/2993155353253689176481146537402947624255349848014848) (cos.f64 y) (+.f64 x 1)))
(if (<=.f64 y -520000000000000021655788462817492844049809339761760927744) (-.f64 x 1) (if (<=.f64 y 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (+.f64 1 (-.f64 x (*.f64 y z))) (-.f64 x 1)))
(if (<=.f64 y -520000000000000021655788462817492844049809339761760927744) (+.f64 x -1) (if (<=.f64 y 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 x -1)))
(if (<=.f64 x -17/2) (+.f64 1 x) (if (<=.f64 x 3902630409742859/2787593149816327892691964784081045188247552) (-.f64 1 (*.f64 y z)) (+.f64 1 x)))
(if (<=.f64 x -17/2) (+.f64 x 1) (if (<=.f64 x 3902630409742859/2787593149816327892691964784081045188247552) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 z -42999999999999998097581191186912792017844148007137009249936602527917920945039101316964953388254833697317838024308630825712962047818357933647126250687078169768178548732947655433305495021012496721159053547660148444154042193853002681116742455742431232) (*.f64 y (neg.f64 z)) (+.f64 1 x))
(if (<=.f64 z -42999999999999998097581191186912792017844148007137009249936602527917920945039101316964953388254833697317838024308630825712962047818357933647126250687078169768178548732947655433305495021012496721159053547660148444154042193853002681116742455742431232) (neg.f64 (*.f64 y z)) (+.f64 x 1))
(if (<=.f64 z -42999999999999998097581191186912792017844148007137009249936602527917920945039101316964953388254833697317838024308630825712962047818357933647126250687078169768178548732947655433305495021012496721159053547660148444154042193853002681116742455742431232) (*.f64 y (neg.f64 z)) (+.f64 x 1))
(+.f64 1 x)
(+.f64 x 1)
(if (<=.f64 x -2535301200456459/1267650600228229401496703205376) x (if (<=.f64 x 2824657686286775/288230376151711744) 1 x))
1

Compiler

Compiled 249 to 172 computations (30.9% saved)

soundness0.0ms (0%)

end98.0ms (0.9%)

Compiler: Compiled 213 to 114 computations (46.5% saved)