Details

analyze223.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
35.9%	35.9%	64%	0.1%	0%	0%	0%	9
47.7%	47.6%	52.3%	0.1%	0%	0%	0%	10
54.9%	54.8%	45.1%	0.1%	0%	0%	0%	11
62.9%	62.8%	37.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.6s (9.3%)

Results

812.0ms	6033×	body	256	valid
493.0ms	1428×	body	1024	valid
191.0ms	791×	body	512	valid
86.0ms	635×	body	256	infinite
15.0ms	65×	body	512	infinite
7.0ms	21×	body	1024	infinite
2.0ms	4×	body	2048	valid

Bogosity

preprocess399.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

1212×	`rational.json-simplify-35`
1062×	`rational.json-simplify-2`
886×	`rational.json-simplify-41`
834×	`rational.json-simplify-51`
800×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
1	57	92
2	107	92
3	238	92
4	521	92
5	1092	92
6	2428	92
7	4094	92
8	6941	92
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 (*.f64 y (/.f64 (sin.f64 x) x)) z)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 y z))
(.f64 y (/.f64 (sin.f64 x) (.f64 x z)))
(/.f64 (*.f64 z (/.f64 (sin.f64 y) y)) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
(.f64 z (/.f64 (sin.f64 y) (.f64 x y)))
(/.f64 (*.f64 x (/.f64 (sin.f64 z) z)) y)
(*.f64 (/.f64 (sin.f64 z) z) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 (sin.f64 z) z) y))
(.f64 x (/.f64 (sin.f64 z) (.f64 z y)))
(.f64 x (/.f64 (sin.f64 z) (.f64 y z)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify416.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1568×	`rational.json-simplify-43`
1004×	`rational.json-simplify-35`
970×	`rational.json-simplify-1`
922×	`rational.json-simplify-48`
786×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	23	23
2	39	23
3	79	23
4	168	23
5	356	23
6	814	23
7	1334	23
8	2611	23
9	5352	23
10	7176	23
11	7954	23

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))

eval1.0ms (0%)

Compiler: Compiled 35 to 14 computations (60% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	4	5

Error

0.0b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.9b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
▶	2.6b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
▶	8.1b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 y)
✓	2.2b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	6.1b	(/.f64 (sin.f64 y) (*.f64 y z))

Compiler

Compiled 25 to 7 computations (72% saved)

series12.0ms (0.1%)

Counts

3 → 44

Calls

18 calls:

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

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`rational.json-1`
1598×	`rational.json-2`
1598×	`rational.json-4`
1598×	`rational.json-3`
1586×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	73	45
2	202	45
3	607	45
4	2062	45
5	5419	45

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) (.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) (.f64 y (+.f64 z z))) (/.f64 (sin.f64 y) (.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) (.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) (/.f64 1 (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sin.f64 y) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) 2) (/.f64 (/.f64 1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) 2) (.f64 (/.f64 1 (.f64 y z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 y) (.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (sin.f64 y) (.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (/.f64 1/2 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) (/.f64 2 (.f64 y z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 y (.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 2 (.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (neg.f64 (sin.f64 y)) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (sin.f64 y) (.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 y) z) (.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 y) (/.f64 2 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (.f64 y z)) 1/2) (.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (sin.f64 y)) (.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (.f64 z (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) (.f64 y (+.f64 z z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 z 4)) (.f64 (sin.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sin.f64 y) (.f64 y z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y (.f64 z 4))) (.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 y z)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 z (neg.f64 y))) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 z) (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) z))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (.f64 y z)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (.f64 y (/.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 y (/.f64 z (sin.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) 2) (/.f64 (.f64 y (+.f64 z z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) 2) (+.f64 (/.f64 (.f64 y z) x) (/.f64 (.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 z (/.f64 (+.f64 y y) (sin.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (.f64 y (/.f64 z (sin.f64 y))) x) (/.f64 (.f64 y (/.f64 z (sin.f64 y))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (/.f64 2 (.f64 y z))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (/.f64 2 (.f64 y z))) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) 4) (+.f64 (/.f64 (.f64 y (+.f64 z z)) x) (/.f64 (.f64 y (+.f64 z z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 (+.f64 z z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 z x) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (.f64 z (/.f64 (+.f64 y y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 (/.f64 z (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (/.f64 (.f64 y z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (.f64 z (/.f64 (+.f64 y y) (sin.f64 y))) x) (/.f64 (.f64 z (/.f64 (+.f64 y y) (sin.f64 y))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) -2) (+.f64 (/.f64 (.f64 y z) (neg.f64 x)) (/.f64 (.f64 y z) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (.f64 2 (.f64 z (/.f64 (+.f64 y y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (.f64 (.f64 y (/.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (+.f64 (/.f64 (+.f64 z z) x) (/.f64 (+.f64 z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sin.f64 y) y) -2) (+.f64 (/.f64 z (neg.f64 x)) (/.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (.f64 y z)) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 (+.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (+.f64 (/.f64 y x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 z) (/.f64 (/.f64 y (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 y) (/.f64 2 z))) (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sin.f64 y) z) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 1 y)) (+.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (/.f64 (/.f64 z (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 (.f64 y (/.f64 z (sin.f64 y))) 4) (.f64 (.f64 y (/.f64 z (sin.f64 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 1 z)) (+.f64 (/.f64 (/.f64 y (sin.f64 y)) x) (/.f64 (/.f64 y (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 4) (.f64 y (/.f64 z (sin.f64 y)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))))) 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Outputs

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#<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 2) (/.f64 (*.f64 y (/.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (*.f64 y (/.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (*.f64 x 4))) (*.f64 2 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x 4) (*.f64 y (/.f64 z (sin.f64 y)))) (/.f64 (*.f64 x 4) (*.f64 y (/.f64 z (sin.f64 y))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (*.f64 z (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (+.f64 y y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (neg.f64 (*.f64 y (/.f64 z (sin.f64 y)))) (neg.f64 (*.f64 y (/.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (-.f64 0 (*.f64 z (/.f64 (+.f64 y y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (*.f64 y z))) (-.f64 0 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (*.f64 y (/.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 y)))))))

simplify135.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1472×	`rational.json-simplify-2`
870×	`rational.json-simplify-41`
768×	`rational.json-simplify-35`
732×	`rational.json-simplify-1`
670×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	317	3776
1	872	3736
2	3600	3736
3	5411	3730
4	7393	3730

Stop Event

1×	node limit

Counts

174 → 197

Calls

Call 1

Inputs
(/.f64 1 z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 0)
(+.f64 0 (/.f64 (sin.f64 y) (*.f64 y z)))
(+.f64 (/.f64 (sin.f64 y) (.f64 y (+.f64 z z))) (/.f64 (sin.f64 y) (.f64 y (+.f64 z z))))
(-.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 0)
(.f64 (sin.f64 y) (/.f64 1 (.f64 y z)))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) 1)
(.f64 1 (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 (/.f64 1/2 y) z))
(.f64 (.f64 (sin.f64 y) 2) (.f64 (/.f64 1 (.f64 y z)) 1/2))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))
(.f64 2 (/.f64 (sin.f64 y) (.f64 y (+.f64 z z))))
(.f64 2 (/.f64 (/.f64 (sin.f64 y) (.f64 y z)) 2))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 y) z) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 (*.f64 y z))) 1/2)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 y (.f64 z 4))))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 2 (*.f64 z 4)))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 1 y))
(.f64 (/.f64 1 (.f64 y z)) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) z))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (.f64 y z)))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 z (neg.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 z))
(.f64 -1 (/.f64 (neg.f64 (sin.f64 y)) (.f64 y z)))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 z (neg.f64 y))))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) z))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 1/2 y))
(*.f64 (/.f64 1 z) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (/.f64 2 z)))
(.f64 (/.f64 (/.f64 1/2 y) z) (.f64 (sin.f64 y) 2))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 (*.f64 y z))))
(.f64 (.f64 (/.f64 1 (.f64 y z)) 1/2) (.f64 (sin.f64 y) 2))
(.f64 (/.f64 (neg.f64 (sin.f64 y)) (.f64 y z)) -1)
(.f64 (/.f64 (sin.f64 y) (.f64 z (neg.f64 y))) -1)
(*.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) z) -1)
(.f64 (/.f64 (sin.f64 y) (.f64 y (+.f64 z z))) 2)
(.f64 (/.f64 2 (.f64 z 4)) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (/.f64 (/.f64 (sin.f64 y) (.f64 y z)) 2) 2)
(.f64 (/.f64 1 (.f64 y (.f64 z 4))) (.f64 (sin.f64 y) 4))
(.f64 (/.f64 -1 (.f64 y z)) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 1 (.f64 z (neg.f64 y))) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 -1 z) (/.f64 (sin.f64 y) (neg.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 1)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y z)))
(neg.f64 (/.f64 (sin.f64 y) (*.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) z))
(+.f64 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) 0)
(+.f64 0 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) 0)
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (/.f64 1 x))
(/.f64 x (*.f64 y (/.f64 z (sin.f64 y))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) 1)
(/.f64 1 (/.f64 (*.f64 y (/.f64 z (sin.f64 y))) x))
(/.f64 (.f64 (sin.f64 y) 2) (/.f64 (.f64 y (+.f64 z z)) x))
(/.f64 (.f64 (sin.f64 y) 2) (+.f64 (/.f64 (.f64 y z) x) (/.f64 (*.f64 y z) x)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
(/.f64 2 (/.f64 (*.f64 z (/.f64 (+.f64 y y) (sin.f64 y))) x))
(/.f64 2 (+.f64 (/.f64 (.f64 y (/.f64 z (sin.f64 y))) x) (/.f64 (.f64 y (/.f64 z (sin.f64 y))) x)))
(/.f64 (.f64 (sin.f64 y) (/.f64 2 (.f64 y z))) (/.f64 2 x))
(/.f64 (.f64 (sin.f64 y) (/.f64 2 (.f64 y z))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (.f64 (sin.f64 y) 4) (+.f64 (/.f64 (.f64 y (+.f64 z z)) x) (/.f64 (*.f64 y (+.f64 z z)) x)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 (+.f64 z z) x))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (+.f64 x x) (*.f64 z (/.f64 (+.f64 y y) (sin.f64 y))))
(/.f64 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (+.f64 x x)) 2)
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z (sin.f64 y)) x))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 y z) (neg.f64 x)))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 z (neg.f64 x)))
(/.f64 4 (+.f64 (/.f64 (.f64 z (/.f64 (+.f64 y y) (sin.f64 y))) x) (/.f64 (.f64 z (/.f64 (+.f64 y y) (sin.f64 y))) x)))
(/.f64 (.f64 (sin.f64 y) -2) (+.f64 (/.f64 (.f64 y z) (neg.f64 x)) (/.f64 (*.f64 y z) (neg.f64 x))))
(/.f64 (.f64 x 4) (.f64 2 (*.f64 z (/.f64 (+.f64 y y) (sin.f64 y)))))
(/.f64 (.f64 x 4) (.f64 (*.f64 y (/.f64 z (sin.f64 y))) 4))
(/.f64 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (+.f64 (/.f64 (+.f64 z z) x) (/.f64 (+.f64 z z) x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) -2) (+.f64 (/.f64 z (neg.f64 x)) (/.f64 z (neg.f64 x))))
(/.f64 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (*.f64 x 4)) 4)
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 (+.f64 y y) x))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 z)) (+.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 y (neg.f64 x)))
(/.f64 (.f64 2 (.f64 (sin.f64 y) (/.f64 2 z))) (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))
(/.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (/.f64 (/.f64 z (sin.f64 y)) x)))
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 (.f64 y (/.f64 z (sin.f64 y))) 4) (.f64 (.f64 y (/.f64 z (sin.f64 y))) 4)))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (.f64 x 4))) 8)
(/.f64 (*.f64 2 (/.f64 1 z)) (+.f64 (/.f64 (/.f64 y (sin.f64 y)) x) (/.f64 (/.f64 y (sin.f64 y)) x)))
(/.f64 (/.f64 (.f64 x 4) (.f64 y (/.f64 z (sin.f64 y)))) 4)
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 x 2) (/.f64 (*.f64 y (/.f64 z (sin.f64 y))) 2))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y (/.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (/.f64 x (.f64 y z)) (/.f64 x (.f64 y z))) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (.f64 x 4))) (.f64 2 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (.f64 x 4)))) 16)
(/.f64 (+.f64 (/.f64 (.f64 x 4) (.f64 y (/.f64 z (sin.f64 y)))) (/.f64 (.f64 x 4) (.f64 y (/.f64 z (sin.f64 y))))) 8)
(/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (*.f64 z (/.f64 2 (sin.f64 y))))
(/.f64 (+.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (+.f64 y y) (sin.f64 y)))
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (neg.f64 (.f64 y (/.f64 z (sin.f64 y)))) (neg.f64 (.f64 y (/.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (+.f64 x x)) (-.f64 0 (*.f64 z (/.f64 (+.f64 y y) (sin.f64 y)))))
(/.f64 (neg.f64 (/.f64 x (*.f64 y z))) (-.f64 0 (/.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y (/.f64 z (sin.f64 y))))
(pow.f64 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) 1)
(+.f64 (sin.f64 y) 0)
(+.f64 0 (sin.f64 y))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 y))))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)
(-.f64 (sin.f64 y) 0)
(-.f64 0 (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(.f64 (.f64 (sin.f64 y) 2) 1/2)
(*.f64 2 (/.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) 4) 1/4)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(.f64 1/2 (.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) 2) 2)
(.f64 1/4 (.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 y) 4))) 16)
(pow.f64 (sin.f64 y) 1)
(neg.f64 (neg.f64 (sin.f64 y)))

Outputs
(/.f64 1 z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(+.f64 (/.f64 1 z) (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (.f64 1/120 (/.f64 (pow.f64 y 4) z))))
(+.f64 (/.f64 1 z) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (.f64 1/120 (/.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (+.f64 (/.f64 1 z) (.f64 1/120 (/.f64 (pow.f64 y 4) z))) (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z))))
(+.f64 (+.f64 (/.f64 1 z) (.f64 -1/6 (/.f64 (pow.f64 y 2) z))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (*.f64 1/120 (/.f64 (pow.f64 y 4) z))))
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(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 y))))
(sin.f64 y)
(+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)
(sin.f64 y)
(-.f64 (sin.f64 y) 0)
(sin.f64 y)
(-.f64 0 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(.f64 (.f64 (sin.f64 y) 2) 1/2)
(sin.f64 y)
(*.f64 2 (/.f64 (sin.f64 y) 2))
(sin.f64 y)
(.f64 (.f64 (sin.f64 y) 4) 1/4)
(sin.f64 y)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 1/2 (.f64 (sin.f64 y) 2))
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) 2) 2)
(sin.f64 y)
(.f64 1/4 (.f64 (sin.f64 y) 4))
(sin.f64 y)
(/.f64 (sin.f64 y) 1)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(sin.f64 y)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(sin.f64 y)
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) 8)
(sin.f64 y)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 y) 4))) 16)
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	2.5b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`rational.json-1`
1402×	`rational.json-2`
1402×	`rational.json-4`
1402×	`rational.json-3`
1386×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	73	34
2	201	34
3	525	34
4	1641	34
5	4536	34

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 2) (/.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (neg.f64 (neg.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (.f64 z (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (neg.f64 (neg.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 z x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (.f64 (+.f64 z z) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (.f64 2 (/.f64 z (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) 2) (.f64 y (.f64 z (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) 2) (/.f64 (+.f64 y y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) 2) (.f64 2 (/.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 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((x /.f64 (.f64 (+.f64 x x) 4) (.f64 (/.f64 y (sin.f64 y)) (.f64 (+.f64 z z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 2 (.f64 z (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 (/.f64 z x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (.f64 (.f64 y 4) (.f64 z (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x z) y) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -2) (.f64 (neg.f64 z) (.f64 y (/.f64 2 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -2) (.f64 (/.f64 y (sin.f64 y)) (neg.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -2) (.f64 2 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(neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 z x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (/.f64 z x)) (.f64 (+.f64 y y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x)) (.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x)) (neg.f64 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y))) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y))) (.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 x z) 4) (/.f64 y (sin.f64 y))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 x x) 4) (/.f64 y (sin.f64 y))) (.f64 (+.f64 z z) 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Outputs

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4) (/.f64 y (sin.f64 y)))) (neg.f64 (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y))))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x x) 4) (/.f64 y (sin.f64 y)))) (neg.f64 (*.f64 (+.f64 z z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x -2) (/.f64 y (sin.f64 y)))) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x -2) (/.f64 y (sin.f64 y)))) (neg.f64 (*.f64 2 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 x z))) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 y) y))) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 (sin.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 y) 2) y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (sin.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))))

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational.json-simplify-50`
1282×	`rational.json-simplify-35`
930×	`rational.json-simplify-51`
792×	`rational.json-simplify-1`
728×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	4624
1	1395	4564
2	4797	4552
3	6372	4552

Stop Event

1×	node limit

Counts

194 → 203

Calls

Call 1

Inputs
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 0)
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)))
(+.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 2) (/.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 2))
(-.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 0)
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
(/.f64 (/.f64 (sin.f64 y) y) (neg.f64 (neg.f64 (/.f64 z x))))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 x z) (neg.f64 (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 1)
(/.f64 1 (*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))))
(/.f64 (+.f64 x x) (*.f64 (+.f64 z z) (/.f64 y (sin.f64 y))))
(/.f64 (+.f64 x x) (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)))
(/.f64 (+.f64 x x) (*.f64 2 (/.f64 z (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 y (*.f64 z (/.f64 2 x))))
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 (+.f64 y y) (/.f64 x z)))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 2 (/.f64 y (/.f64 x z))))
(/.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 x z) 2)))
(/.f64 2 (/.f64 (*.f64 z (/.f64 2 x)) (/.f64 (sin.f64 y) y)))
(/.f64 2 (/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 x z)))
(/.f64 (.f64 x (/.f64 2 z)) (.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 x 4) (.f64 (*.f64 z 4) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 x 4) (.f64 2 (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y))))
(/.f64 (/.f64 (.f64 (sin.f64 y) 2) y) (.f64 z (/.f64 2 x)))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (*.f64 y 4) (/.f64 z x)))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 2 (/.f64 (+.f64 y y) (/.f64 x z))))
(/.f64 (.f64 (/.f64 x z) (/.f64 (.f64 (sin.f64 y) 2) y)) 2)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) (/.f64 (sin.f64 y) y)))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) (/.f64 z x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 (/.f64 x z))))
(/.f64 4 (*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 x z) 2))))
(/.f64 4 (.f64 2 (/.f64 (.f64 z (/.f64 2 x)) (/.f64 (sin.f64 y) y))))
(/.f64 4 (.f64 2 (/.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 x z))))
(/.f64 (.f64 (/.f64 x z) 4) (.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 (/.f64 x z) 4) (.f64 (/.f64 y (sin.f64 y)) 4))
(/.f64 (.f64 (+.f64 x x) 4) (.f64 (/.f64 y (sin.f64 y)) (*.f64 (+.f64 z z) 4)))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 2 (*.f64 z (/.f64 2 x))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 (/.f64 z x) 4))
(/.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (.f64 (.f64 y 4) (*.f64 z (/.f64 2 x))))
(/.f64 (.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 4) 4)
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 x))
(/.f64 (/.f64 (/.f64 x z) y) (/.f64 1 (sin.f64 y)))
(/.f64 (.f64 x -2) (.f64 (neg.f64 z) (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 x -2) (.f64 (/.f64 y (sin.f64 y)) (neg.f64 (+.f64 z z))))
(/.f64 (.f64 x -2) (.f64 2 (/.f64 (neg.f64 z) (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 2 (*.f64 (neg.f64 y) (/.f64 z x))))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (/.f64 z x) (neg.f64 (+.f64 y y))))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 2 (/.f64 y (neg.f64 (/.f64 x z)))))
(/.f64 (.f64 2 (.f64 (/.f64 x z) 4)) (.f64 2 (.f64 (/.f64 y (sin.f64 y)) 4)))
(/.f64 (.f64 2 (.f64 (+.f64 x x) 4)) (.f64 2 (.f64 (/.f64 y (sin.f64 y)) (*.f64 (+.f64 z z) 4))))
(/.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 (neg.f64 z) (*.f64 y (/.f64 2 (sin.f64 y))))))
(/.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 (/.f64 y (sin.f64 y)) (neg.f64 (+.f64 z z)))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) 4)) (.f64 2 (.f64 (/.f64 z x) 4)))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 y) 2) 4)) (.f64 2 (.f64 (.f64 y 4) (*.f64 z (/.f64 2 x)))))
(/.f64 (.f64 2 (.f64 (sin.f64 y) -2)) (.f64 2 (.f64 2 (*.f64 (neg.f64 y) (/.f64 z x)))))
(/.f64 (.f64 2 (.f64 (sin.f64 y) -2)) (.f64 2 (.f64 (/.f64 z x) (neg.f64 (+.f64 y y)))))
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 4)) 8)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 z x)) (+.f64 y y))
(/.f64 (/.f64 (.f64 (sin.f64 y) 4) (/.f64 z x)) (.f64 y 4))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 (/.f64 z x))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 z x)) 4)
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (/.f64 z x)) (*.f64 (+.f64 y y) 4))
(/.f64 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x)) (.f64 2 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) -2) (/.f64 z x)) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y))) (+.f64 z z))
(/.f64 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y))) (.f64 z 4))
(/.f64 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (/.f64 x z) 4) (/.f64 y (sin.f64 y))) 4)
(/.f64 (/.f64 (.f64 (+.f64 x x) 4) (/.f64 y (sin.f64 y))) (.f64 (+.f64 z z) 4))
(/.f64 (/.f64 (.f64 x -2) (/.f64 y (sin.f64 y))) (.f64 2 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 x -2) (/.f64 y (sin.f64 y))) (neg.f64 (+.f64 z z)))
(/.f64 (/.f64 (/.f64 x z) 2) (/.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (/.f64 z x) 2))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 2 (neg.f64 (/.f64 (sin.f64 y) y))) (.f64 2 (neg.f64 (/.f64 z x))))
(/.f64 (.f64 2 (/.f64 (/.f64 (sin.f64 y) y) z)) (.f64 2 (/.f64 1 x)))
(/.f64 (.f64 2 (/.f64 (/.f64 x z) y)) (.f64 2 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 4))) 16)
(/.f64 (.f64 2 (.f64 (sin.f64 y) (/.f64 x z))) (+.f64 y y))
(/.f64 (.f64 2 (/.f64 (.f64 (sin.f64 y) 2) (/.f64 z x))) (*.f64 y 4))
(/.f64 (.f64 2 (/.f64 (.f64 (sin.f64 y) 4) (/.f64 z x))) (*.f64 (+.f64 y y) 4))
(/.f64 (.f64 2 (/.f64 (sin.f64 y) (neg.f64 (/.f64 z x)))) (.f64 2 (neg.f64 y)))
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 z x))) 8)
(/.f64 (.f64 2 (/.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (/.f64 z x))) (.f64 2 (*.f64 (+.f64 y y) 4)))
(/.f64 (.f64 2 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x))) (.f64 2 (.f64 2 (neg.f64 y))))
(/.f64 (.f64 2 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x))) (*.f64 2 (neg.f64 (+.f64 y y))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) x)) (+.f64 z z))
(/.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y)))) (.f64 z 4))
(/.f64 (.f64 2 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y)))) (*.f64 (+.f64 z z) 4))
(/.f64 (.f64 2 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y))))) (.f64 2 (neg.f64 z)))
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 x z) 4) (/.f64 y (sin.f64 y)))) 8)
(/.f64 (.f64 2 (/.f64 (.f64 (+.f64 x x) 4) (/.f64 y (sin.f64 y)))) (.f64 2 (.f64 (+.f64 z z) 4)))
(/.f64 (.f64 2 (/.f64 (.f64 x -2) (/.f64 y (sin.f64 y)))) (.f64 2 (.f64 2 (neg.f64 z))))
(/.f64 (.f64 2 (/.f64 (.f64 x -2) (/.f64 y (sin.f64 y)))) (*.f64 2 (neg.f64 (+.f64 z z))))
(/.f64 (.f64 2 (neg.f64 (/.f64 x z))) (.f64 2 (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (neg.f64 (.f64 x (/.f64 2 z))) (neg.f64 (.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 y) 2) y)) (neg.f64 (.f64 z (/.f64 2 x))))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 y) y) z)) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 x z) y)) (neg.f64 (/.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 x z))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 z x))) (neg.f64 (+.f64 y y)))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 y) 4) (/.f64 z x))) (neg.f64 (.f64 y 4)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) (neg.f64 (/.f64 z x)))) y)
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (/.f64 z x))) (neg.f64 (*.f64 (+.f64 y y) 4)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) -2) (/.f64 z x))) (+.f64 y y))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x))) (neg.f64 (.f64 2 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y)))) (neg.f64 (+.f64 z z)))
(/.f64 (neg.f64 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y)))) (neg.f64 (.f64 z 4)))
(/.f64 (neg.f64 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y))))) z)
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 x x) 4) (/.f64 y (sin.f64 y)))) (neg.f64 (.f64 (+.f64 z z) 4)))
(/.f64 (neg.f64 (/.f64 (*.f64 x -2) (/.f64 y (sin.f64 y)))) (+.f64 z z))
(/.f64 (neg.f64 (/.f64 (.f64 x -2) (/.f64 y (sin.f64 y)))) (neg.f64 (.f64 2 (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 y) y))) (/.f64 z x))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 1)
(+.f64 (/.f64 (sin.f64 y) y) 0)
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(+.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 (sin.f64 y) (+.f64 y y)))
(+.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (/.f64 (sin.f64 y) y) 2))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 y) 1/2))
(*.f64 2 (/.f64 (sin.f64 y) (+.f64 y y)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) y) 2))
(.f64 2 (.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (/.f64 (.f64 (sin.f64 y) 2) y) 1/2)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) 2) y))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) 2))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(*.f64 (/.f64 (sin.f64 y) (+.f64 y y)) 2)
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) 2)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))

Outputs
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (/.f64 x z) (.f64 -1/6 (.f64 x (/.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 x z) (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z))))
(+.f64 (/.f64 x z) (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6)))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/6 (.f64 x (/.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 x z) (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)))))
(+.f64 (+.f64 (/.f64 x z) (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z)))) (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120)))
(+.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6)) (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(+.f64 (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z))) (+.f64 (+.f64 (/.f64 x z) (.f64 -1/6 (.f64 x (/.f64 (pow.f64 y 2) z)))) (.f64 -1/5040 (.f64 x (/.f64 (pow.f64 y 6) z)))))
(+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120)) (+.f64 (+.f64 (/.f64 x z) (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z)))) (.f64 -1/5040 (.f64 (pow.f64 y 6) (/.f64 x z)))))
(+.f64 (+.f64 (/.f64 x z) (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6))) (+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120)) (.f64 -1/5040 (.f64 (pow.f64 y 6) (/.f64 x z)))))
(+.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6)) (+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120)) (.f64 -1/5040 (.f64 (pow.f64 y 6) (/.f64 x z))))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))) (*.f64 -1/5040 (pow.f64 y 6))))
(+.f64 (+.f64 1 (.f64 1/120 (pow.f64 y 4))) (+.f64 (.f64 -1/5040 (pow.f64 y 6)) (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6)))))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 0)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(+.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 2) (/.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 2))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(-.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 0)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (sin.f64 y) y) (neg.f64 (neg.f64 (/.f64 z x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 x z) (neg.f64 (neg.f64 (/.f64 y (sin.f64 y)))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 1)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 1 (*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (+.f64 x x) (*.f64 (+.f64 z z) (/.f64 y (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (+.f64 x x) (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (+.f64 x x) (*.f64 2 (/.f64 z (/.f64 (sin.f64 y) y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 y (*.f64 z (/.f64 2 x))))
(/.f64 (.f64 2 (/.f64 (sin.f64 y) y)) (.f64 z (/.f64 2 x)))
(.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (.f64 z (/.f64 2 x))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 z (*.f64 y (/.f64 2 x)))))
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 (+.f64 y y) (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 2 (/.f64 y (/.f64 x z))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 x z) 2)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 2 (/.f64 (*.f64 z (/.f64 2 x)) (/.f64 (sin.f64 y) y)))
(/.f64 2 (*.f64 (/.f64 2 x) (/.f64 z (/.f64 (sin.f64 y) y))))
(/.f64 2 (*.f64 z (/.f64 (/.f64 2 x) (/.f64 (sin.f64 y) y))))
(/.f64 2 (/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 x z)))
(/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) (/.f64 z (/.f64 x y))))
(/.f64 (/.f64 (/.f64 x y) (/.f64 2 (sin.f64 y))) (/.f64 z 2))
(/.f64 (.f64 x (/.f64 2 z)) (.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 (/.f64 2 z) (/.f64 (/.f64 x y) (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 x 4) (.f64 (*.f64 z 4) (/.f64 y (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 x 4) (.f64 2 (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) 2) y) (.f64 z (/.f64 2 x)))
(/.f64 (.f64 2 (/.f64 (sin.f64 y) y)) (.f64 z (/.f64 2 x)))
(.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (.f64 z (/.f64 2 x))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 z (*.f64 y (/.f64 2 x)))))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (*.f64 y 4) (/.f64 z x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 2 (/.f64 (+.f64 y y) (/.f64 x z))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (/.f64 x z) (/.f64 (.f64 (sin.f64 y) 2) y)) 2)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) (/.f64 (sin.f64 y) y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) (/.f64 z x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 (/.f64 x z))))
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(/.f64 4 (*.f64 2 (/.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 x z) 2))))
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(/.f64 4 (.f64 2 (/.f64 (.f64 z (/.f64 2 x)) (/.f64 (sin.f64 y) y))))
(/.f64 2 (*.f64 (/.f64 2 x) (/.f64 z (/.f64 (sin.f64 y) y))))
(/.f64 2 (*.f64 z (/.f64 (/.f64 2 x) (/.f64 (sin.f64 y) y))))
(/.f64 2 (/.f64 (*.f64 z (/.f64 2 x)) (/.f64 (sin.f64 y) y)))
(/.f64 4 (.f64 2 (/.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 x z))))
(/.f64 2 (*.f64 (/.f64 2 (sin.f64 y)) (/.f64 z (/.f64 x y))))
(/.f64 (/.f64 (/.f64 x y) (/.f64 2 (sin.f64 y))) (/.f64 z 2))
(/.f64 (.f64 (/.f64 x z) 4) (.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(.f64 4 (/.f64 (/.f64 x z) (.f64 y (*.f64 (/.f64 2 (sin.f64 y)) 2))))
(/.f64 (/.f64 (*.f64 (/.f64 x z) 2) y) (/.f64 2 (sin.f64 y)))
(/.f64 (.f64 (/.f64 x z) 2) (.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 (/.f64 x z) 4) (.f64 (/.f64 y (sin.f64 y)) 4))
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(/.f64 (.f64 (+.f64 x x) 4) (.f64 (/.f64 y (sin.f64 y)) (*.f64 (+.f64 z z) 4)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 2 (*.f64 z (/.f64 2 x))))
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(.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (.f64 z (/.f64 2 x))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 z (*.f64 y (/.f64 2 x)))))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (.f64 (/.f64 z x) 4))
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(/.f64 (.f64 2 (/.f64 (sin.f64 y) y)) (.f64 z (/.f64 2 x)))
(.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (.f64 z (/.f64 2 x))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 z (*.f64 y (/.f64 2 x)))))
(/.f64 (.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 4) 4)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 x))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (/.f64 x z) y) (/.f64 1 (sin.f64 y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 x -2) (.f64 (neg.f64 z) (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 x (/.f64 2 z)) (.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 (/.f64 2 z) (/.f64 (/.f64 x y) (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 x -2) (.f64 (/.f64 y (sin.f64 y)) (neg.f64 (+.f64 z z))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 x -2) (.f64 2 (/.f64 (neg.f64 z) (/.f64 (sin.f64 y) y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 2 (*.f64 (neg.f64 y) (/.f64 z x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (/.f64 z x) (neg.f64 (+.f64 y y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 2 (/.f64 y (neg.f64 (/.f64 x z)))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (.f64 (/.f64 x z) 4)) (.f64 2 (.f64 (/.f64 y (sin.f64 y)) 4)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (.f64 (+.f64 x x) 4)) (.f64 2 (.f64 (/.f64 y (sin.f64 y)) (*.f64 (+.f64 z z) 4))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 (neg.f64 z) (*.f64 y (/.f64 2 (sin.f64 y))))))
(/.f64 (.f64 x (/.f64 2 z)) (.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 (/.f64 2 z) (/.f64 (/.f64 x y) (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 (/.f64 y (sin.f64 y)) (neg.f64 (+.f64 z z)))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) 4)) (.f64 2 (.f64 (/.f64 z x) 4)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 y) 2) 4)) (.f64 2 (.f64 (.f64 y 4) (*.f64 z (/.f64 2 x)))))
(/.f64 (.f64 2 (/.f64 (sin.f64 y) y)) (.f64 z (/.f64 2 x)))
(.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (.f64 z (/.f64 2 x))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 z (*.f64 y (/.f64 2 x)))))
(/.f64 (.f64 2 (.f64 (sin.f64 y) -2)) (.f64 2 (.f64 2 (*.f64 (neg.f64 y) (/.f64 z x)))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (.f64 (sin.f64 y) -2)) (.f64 2 (.f64 (/.f64 z x) (neg.f64 (+.f64 y y)))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 4)) 8)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 z x)) (+.f64 y y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) 4) (/.f64 z x)) (.f64 y 4))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 (/.f64 z x))) (neg.f64 y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 z x)) 4)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (/.f64 z x)) (*.f64 (+.f64 y y) 4))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x)) (.f64 2 (neg.f64 y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) -2) (/.f64 z x)) (neg.f64 (+.f64 y y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y))) (+.f64 z z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y))) (.f64 z 4))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (*.f64 (/.f64 x z) 4) (/.f64 y (sin.f64 y))) 4)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (.f64 (+.f64 x x) 4) (/.f64 y (sin.f64 y))) (.f64 (+.f64 z z) 4))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (.f64 x -2) (/.f64 y (sin.f64 y))) (.f64 2 (neg.f64 z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (*.f64 x -2) (/.f64 y (sin.f64 y))) (neg.f64 (+.f64 z z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (/.f64 x z) 2) (/.f64 (/.f64 y (sin.f64 y)) 2))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (/.f64 z x) 2))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 z x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 y (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (neg.f64 (/.f64 (sin.f64 y) y))) (.f64 2 (neg.f64 (/.f64 z x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (/.f64 (sin.f64 y) y) z)) (.f64 2 (/.f64 1 x)))
(.f64 (/.f64 (sin.f64 y) (.f64 z y)) (/.f64 2 (*.f64 2 (/.f64 1 x))))
(.f64 (/.f64 (sin.f64 y) (.f64 z y)) (/.f64 1 (/.f64 1 x)))
(/.f64 (.f64 2 (/.f64 (/.f64 x z) y)) (.f64 2 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 2 (/.f64 x (.f64 z y))) (*.f64 2 (/.f64 1 (sin.f64 y))))
(.f64 (/.f64 x (.f64 z y)) (/.f64 1 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 4))) 16)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (.f64 (sin.f64 y) (/.f64 x z))) (+.f64 y y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (.f64 (sin.f64 y) 2) (/.f64 z x))) (*.f64 y 4))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (.f64 (sin.f64 y) 4) (/.f64 z x))) (*.f64 (+.f64 y y) 4))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (sin.f64 y) (neg.f64 (/.f64 z x)))) (.f64 2 (neg.f64 y)))
(.f64 (/.f64 (sin.f64 y) (neg.f64 (/.f64 z x))) (/.f64 2 (.f64 2 (neg.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 z (neg.f64 x))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 z x)) (/.f64 -1 y))
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 z x))) 8)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (/.f64 z x))) (.f64 2 (*.f64 (+.f64 y y) 4)))
(.f64 (.f64 4 (.f64 2 (/.f64 (sin.f64 y) (/.f64 z x)))) (/.f64 2 (.f64 (+.f64 y y) 8)))
(.f64 (/.f64 x (/.f64 z (.f64 (sin.f64 y) 8))) (/.f64 1 (*.f64 y 8)))
(.f64 (/.f64 (.f64 (sin.f64 y) 8) (/.f64 z x)) (/.f64 1 (*.f64 y 8)))
(/.f64 (.f64 2 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x))) (.f64 2 (.f64 2 (neg.f64 y))))
(.f64 (/.f64 (sin.f64 y) (neg.f64 (/.f64 z x))) (/.f64 2 (.f64 2 (neg.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 z (neg.f64 x))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 z x)) (/.f64 -1 y))
(/.f64 (.f64 2 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x))) (*.f64 2 (neg.f64 (+.f64 y y))))
(.f64 (/.f64 (sin.f64 y) (neg.f64 (/.f64 z x))) (/.f64 2 (.f64 2 (neg.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (/.f64 z (neg.f64 x))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 z x)) (/.f64 -1 y))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) x)) (+.f64 z z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y)))) (.f64 z 4))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y)))) (*.f64 (+.f64 z z) 4))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y))))) (.f64 2 (neg.f64 z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (.f64 (/.f64 x z) 4) (/.f64 y (sin.f64 y)))) 8)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (.f64 (+.f64 x x) 4) (/.f64 y (sin.f64 y)))) (.f64 2 (.f64 (+.f64 z z) 4)))
(.f64 (.f64 4 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y)))) (/.f64 2 (*.f64 (+.f64 z z) 8)))
(.f64 (/.f64 (sin.f64 y) (/.f64 y (.f64 x 8))) (/.f64 1 (*.f64 z 8)))
(/.f64 (.f64 2 (/.f64 (.f64 x -2) (/.f64 y (sin.f64 y)))) (.f64 2 (.f64 2 (neg.f64 z))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (/.f64 (.f64 x -2) (/.f64 y (sin.f64 y)))) (*.f64 2 (neg.f64 (+.f64 z z))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 2 (neg.f64 (/.f64 x z))) (.f64 2 (neg.f64 (/.f64 y (sin.f64 y)))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (.f64 x (/.f64 2 z))) (neg.f64 (.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 x (/.f64 2 z)) (.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 (/.f64 2 z) (/.f64 (/.f64 x y) (/.f64 2 (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 y) 2) y)) (neg.f64 (.f64 z (/.f64 2 x))))
(/.f64 (.f64 2 (/.f64 (sin.f64 y) y)) (.f64 z (/.f64 2 x)))
(.f64 (/.f64 (sin.f64 y) y) (/.f64 2 (.f64 z (/.f64 2 x))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 z (*.f64 y (/.f64 2 x)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 y) y) z)) (neg.f64 (/.f64 1 x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (/.f64 x z) y)) (neg.f64 (/.f64 1 (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 x z))) (neg.f64 y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 z x))) (neg.f64 (+.f64 y y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 y) 4) (/.f64 z x))) (neg.f64 (.f64 y 4)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) (neg.f64 (/.f64 z x)))) y)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sin.f64 y) 2) 4) (/.f64 z x))) (neg.f64 (*.f64 (+.f64 y y) 4)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) -2) (/.f64 z x))) (+.f64 y y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 y) -2) (/.f64 z x))) (neg.f64 (.f64 2 (neg.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (neg.f64 z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y)))) (neg.f64 (+.f64 z z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (.f64 x 4) (/.f64 y (sin.f64 y)))) (neg.f64 (.f64 z 4)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 x (neg.f64 (/.f64 y (sin.f64 y))))) z)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 x x) 4) (/.f64 y (sin.f64 y)))) (neg.f64 (.f64 (+.f64 z z) 4)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (*.f64 x -2) (/.f64 y (sin.f64 y)))) (+.f64 z z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (.f64 x -2) (/.f64 y (sin.f64 y)))) (neg.f64 (.f64 2 (neg.f64 z))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (/.f64 y (sin.f64 y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 y) y))) (/.f64 z x))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) 1)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(+.f64 0 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(/.f64 (sin.f64 y) y)
(+.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 (sin.f64 y) (+.f64 y y)))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(+.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) (/.f64 (/.f64 (sin.f64 y) y) 2))
(+.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 (sin.f64 y) (+.f64 y y)))
(+.f64 (.f64 (/.f64 (sin.f64 y) y) 1/2) (.f64 (/.f64 (sin.f64 y) y) 1/2))
(+.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 1/2 y)))
(-.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 y))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 y) 1/2))
(/.f64 (sin.f64 y) y)
(*.f64 2 (/.f64 (sin.f64 y) (+.f64 y y)))
(/.f64 (sin.f64 y) y)
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) y) 2))
(/.f64 (sin.f64 y) y)
(.f64 2 (.f64 (sin.f64 y) (/.f64 1/2 y)))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 (.f64 (sin.f64 y) 2) y) 1/2)
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y 4)))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 y))
(/.f64 (sin.f64 y) y)
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 1/2 (/.f64 (.f64 (sin.f64 y) 2) y))
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) -1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) (+.f64 y y)) 2)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) 2) 2)
(/.f64 (sin.f64 y) y)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (sin.f64 y) 4))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) 2)
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (sin.f64 y) y)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	0.1b	(/.f64 (sin.f64 y) y)
✓	2.9b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2106×	`rational.json-1`
2106×	`rational.json-2`
1646×	`rational.json-simplify-35`
984×	`exponential.json-3`
984×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	75	40
2	221	40
3	651	40
4	2573	40
5	7262	40

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) (*.f64 (/.f64 1 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 (/.f64 1 y) (+.f64 z z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (/.f64 1/2 z)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 z) (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) y) (/.f64 2 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) y) 4)) (/.f64 1 (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 (/.f64 1 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 1/2 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 x (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sin.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 2 z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 z)) (*.f64 (sin.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 (/.f64 (sin.f64 y) y) (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 x (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (/.f64 (sin.f64 y) (+.f64 z z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (/.f64 (sin.f64 y) 2) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) 1/2) (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 y) 2) (/.f64 z x)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 z 4)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (*.f64 x (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (*.f64 x (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (neg.f64 z)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) (/.f64 (+.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 y x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 y (sin.f64 y)) x) (/.f64 (/.f64 y (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 y (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (/.f64 y (sin.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) x) (/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 (/.f64 y (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 y (*.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (-.f64 0 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (-.f64 0 (*.f64 y (/.f64 2 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4)) (+.f64 (*.f64 (/.f64 y (sin.f64 y)) 4) (*.f64 (/.f64 y (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (-.f64 0 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))))))

simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-35`
1052×	`rational.json-simplify-2`
1020×	`rational.json-simplify-44`
1004×	`rational.json-simplify-53`
938×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	3840
1	724	3828
2	1983	3822
3	6117	3822

Stop Event

1×	node limit

Counts

166 → 156

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(+.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 0)
(+.f64 0 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))))
(-.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 0)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 1)
(*.f64 1 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))))
(.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) (/.f64 1/2 z))
(.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) (*.f64 (/.f64 1 z) 1/2))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 (/.f64 1 y) (+.f64 z z)) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 2 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (+.f64 z z)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 2))
(.f64 2 (.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)) x))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 z)) (/.f64 (sin.f64 y) y)))
(.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 x z)))
(.f64 2 (.f64 (/.f64 1/2 z) (*.f64 x (/.f64 (sin.f64 y) y))))
(.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)))
(.f64 (.f64 x (*.f64 (/.f64 (sin.f64 y) y) (/.f64 2 z))) 1/2)
(.f64 (.f64 x (.f64 (/.f64 (sin.f64 y) y) 4)) (/.f64 1 (.f64 z 4)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x (/.f64 1/2 z)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (.f64 (/.f64 1 z) (.f64 x 1/2)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 1/2 (/.f64 x z)))
(.f64 (/.f64 1 z) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 (/.f64 1 y) (.f64 x (/.f64 (sin.f64 y) z)))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) (/.f64 x z)))
(.f64 (.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) (/.f64 -1 z))
(.f64 -1 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 2 z)) (*.f64 x 1/2))
(.f64 (.f64 x (/.f64 2 z)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (.f64 x (/.f64 1/2 z)) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)) (+.f64 x x))
(.f64 (/.f64 1/2 z) (.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)))
(.f64 1/2 (.f64 x (*.f64 (/.f64 (sin.f64 y) y) (/.f64 2 z))))
(.f64 (.f64 x 1/2) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 2 z)))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 x (/.f64 2 z)))
(.f64 (/.f64 1/2 y) (/.f64 (.f64 (sin.f64 y) 2) (/.f64 z x)))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (/.f64 (sin.f64 y) (+.f64 z z)) x))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (/.f64 (sin.f64 y) 2) (/.f64 x z)))
(.f64 (.f64 x (/.f64 (sin.f64 y) z)) (/.f64 1 y))
(.f64 (.f64 (/.f64 x z) (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) (/.f64 x z)) (/.f64 1 y))
(.f64 (.f64 (/.f64 1 z) 1/2) (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)))
(.f64 (.f64 (/.f64 1 z) (.f64 x 1/2)) (.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (/.f64 (.f64 (sin.f64 y) 2) (/.f64 z x)) (/.f64 1/2 y))
(.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (neg.f64 z)) -1)
(.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) (+.f64 z z)) 2)
(.f64 (/.f64 -1 z) (.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 2) 2)
(.f64 (/.f64 1 (.f64 z 4)) (.f64 x (.f64 (/.f64 (sin.f64 y) y) 4)))
(.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (.f64 x (/.f64 (sin.f64 y) z)))
(.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 x z)))
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 1)
(neg.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (neg.f64 z)))
(+.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (*.f64 x (/.f64 (sin.f64 y) y)))
(+.f64 -1 (-.f64 1 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y))))
(-.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 0)
(-.f64 0 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) 2)
(/.f64 (*.f64 (sin.f64 y) 2) (/.f64 (+.f64 y y) x))
(/.f64 (*.f64 (sin.f64 y) 2) (+.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 2 (/.f64 (*.f64 y (/.f64 2 (sin.f64 y))) x))
(/.f64 2 (+.f64 (/.f64 (/.f64 y (sin.f64 y)) x) (/.f64 (/.f64 y (sin.f64 y)) x)))
(/.f64 (+.f64 x x) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 x (.f64 (/.f64 (sin.f64 y) y) 4)) 4)
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 2 x))
(/.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (*.f64 (sin.f64 y) 4) (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) -1)
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 y (sin.f64 y)) x)))
(/.f64 4 (+.f64 (/.f64 (.f64 y (/.f64 2 (sin.f64 y))) x) (/.f64 (.f64 y (/.f64 2 (sin.f64 y))) x)))
(/.f64 (.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) 4) 8)
(/.f64 (.f64 x 4) (.f64 2 (*.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 x 4) (.f64 (/.f64 y (sin.f64 y)) 4))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 (*.f64 (sin.f64 y) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
(/.f64 (.f64 x 1/2) (/.f64 y (.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 x 1/2) (/.f64 (/.f64 y (sin.f64 y)) 2))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 y (/.f64 2 (sin.f64 y))) 4))
(/.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) y)) -2) -2)
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (-.f64 0 (/.f64 1 x)))
(/.f64 (*.f64 x -2) (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (.f64 x -2) (-.f64 0 (.f64 y (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (.f64 (/.f64 y (sin.f64 y)) 4)))
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) 4)) 16)
(/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 x y)) (-.f64 0 (/.f64 1 (sin.f64 y))))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)
(neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))

Outputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 2)) z)))
(+.f64 (/.f64 x z) (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z))))
(+.f64 (/.f64 x z) (.f64 -1/6 (.f64 (/.f64 x z) (pow.f64 y 2))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 2)) z))) (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z))))
(+.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120)) (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z)))))
(+.f64 (/.f64 x z) (+.f64 (.f64 -1/6 (.f64 (/.f64 x z) (pow.f64 y 2))) (.f64 x (.f64 1/120 (/.f64 (pow.f64 y 4) z)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(+.f64 (+.f64 (+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 2)) z))) (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)))) (.f64 -1/5040 (.f64 x (/.f64 (pow.f64 y 6) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z))) (+.f64 (+.f64 (/.f64 x z) (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120))) (.f64 x (.f64 (/.f64 (pow.f64 y 6) z) -1/5040))))
(+.f64 (/.f64 x z) (+.f64 (+.f64 (.f64 -1/6 (.f64 (/.f64 x z) (pow.f64 y 2))) (.f64 x (.f64 1/120 (/.f64 (pow.f64 y 4) z)))) (.f64 x (.f64 -1/5040 (/.f64 (pow.f64 y 6) z)))))
(+.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (+.f64 (.f64 -1/6 (.f64 (/.f64 x z) (pow.f64 y 2))) (.f64 x (.f64 1/120 (/.f64 (pow.f64 y 4) z))))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 x (.f64 -1/6 (.f64 x (pow.f64 y 2))))
(+.f64 x (.f64 x (.f64 (pow.f64 y 2) -1/6)))
(+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/6)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 x (.f64 1/120 (.f64 x (pow.f64 y 4)))))
(+.f64 x (+.f64 (.f64 x (.f64 1/120 (pow.f64 y 4))) (.f64 x (.f64 (pow.f64 y 2) -1/6))))
(+.f64 x (+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/6)) (.f64 x (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 2))) (+.f64 (.f64 1/120 (.f64 x (pow.f64 y 4))) (+.f64 x (.f64 (pow.f64 y 6) (.f64 x -1/5040)))))
(+.f64 (.f64 x (.f64 (pow.f64 y 2) -1/6)) (+.f64 (.f64 x (.f64 1/120 (pow.f64 y 4))) (+.f64 x (.f64 x (.f64 (pow.f64 y 6) -1/5040)))))
(+.f64 (+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/6))) (+.f64 (.f64 x (.f64 1/120 (pow.f64 y 4))) (.f64 (pow.f64 y 6) (.f64 x -1/5040))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 0)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(+.f64 0 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(-.f64 (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) 0)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
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(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (-.f64 0 (/.f64 1 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x -2) (+.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (.f64 x -2) (-.f64 0 (.f64 y (/.f64 2 (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 (/.f64 y (sin.f64 y)) 4) (.f64 (/.f64 y (sin.f64 y)) 4)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) y)) 4)) 16)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (/.f64 x y)) (-.f64 0 (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

eval138.0ms (0.8%)

Compiler: Compiled 9032 to 4193 computations (53.6% saved)

prune336.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	663	6	669
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	664	8	672

Error

Counts

672 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	9.3b	(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
▶	7.8b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
▶	2.2b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
▶	29.0b	(/.f64 x z)
✓	2.6b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
✓	8.1b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	32.5b	(.f64 x (/.f64 y (.f64 y z)))
▶	29.1b	(*.f64 x (/.f64 1 z))

Compiler

Compiled 136 to 88 computations (35.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
	0.1b	(/.f64 (sin.f64 y) y)
✓	2.2b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`rational.json-simplify-2`
1326×	`exponential.json-3`
1326×	`rational.json-1`
1326×	`rational.json-2`
1326×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	79	40
2	279	40
3	1098	40
4	3940	40

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 z (/.f64 (sin.f64 y) y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 (/.f64 1 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 1/2 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/2 z) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (+.f64 z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 y) (*.f64 (+.f64 z z) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (/.f64 1/2 z)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 z x)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (*.f64 z (/.f64 y x))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 x (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 y (/.f64 (*.f64 z 4) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 1 (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 1 (/.f64 (*.f64 z 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 (*.f64 z (/.f64 y x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) z)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (sin.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 x (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 z x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (*.f64 (neg.f64 z) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 1 (/.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (sin.f64 y) (/.f64 (+.f64 z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (/.f64 y x)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y x)) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 (/.f64 y x))) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (*.f64 (sin.f64 y) (/.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) (/.f64 (+.f64 x x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 z x)) (/.f64 (sin.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 z) (/.f64 (sin.f64 y) (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 z x)) (*.f64 (sin.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 z (/.f64 y x))) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 z)) (*.f64 (sin.f64 y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (/.f64 x z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 2 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 (sin.f64 y) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (/.f64 (+.f64 z z) x)) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 z (neg.f64 x))) (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (+.f64 z z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 (+.f64 z z) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (/.f64 (*.f64 z 4) x))) (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 y x))) (*.f64 (sin.f64 y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 z 4) x)) (*.f64 (/.f64 (sin.f64 y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 z x) (neg.f64 y))) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (neg.f64 z) (/.f64 y x))) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 2 (/.f64 y x))) (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (*.f64 x (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (/.f64 z x)) (/.f64 1/2 (/.f64 z x))) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))) (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (*.f64 z (/.f64 y x))) (/.f64 1/2 (*.f64 z (/.f64 y x)))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 (/.f64 y x))) z))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 z (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (/.f64 1/2 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (/.f64 y (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (/.f64 1/2 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 z (/.f64 1/2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 z (*.f64 (sin.f64 y) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 (sin.f64 y) (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 z (/.f64 1/2 (sin.f64 y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 (sin.f64 y) y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 (sin.f64 y) z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (/.f64 (*.f64 (sin.f64 y) 4) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) (/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sin.f64 y)) (/.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z z) (sin.f64 y)) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (sin.f64 y))) (/.f64 z 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) (/.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (sin.f64 y) y)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (sin.f64 y) z)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 1/2 (sin.f64 y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 y)) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (*.f64 (sin.f64 y) (/.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 1 y)) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 y)) (/.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 z)) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 2) (*.f64 y (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (/.f64 (+.f64 z z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sin.f64 y) (/.f64 2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 y) 4) z)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) 4)) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (/.f64 (sin.f64 y) y)) (/.f64 1/2 (/.f64 (sin.f64 y) y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (/.f64 (sin.f64 y) z)) (/.f64 1/2 (/.f64 (sin.f64 y) z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))))))

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1374×	`rational.json-simplify-44`
1296×	`rational.json-simplify-47`
1264×	`rational.json-simplify-51`
1216×	`rational.json-simplify-35`
1192×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	332	5129
1	748	4981
2	1779	4941
3	6160	4905

Stop Event

1×	node limit

Counts

207 → 218

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
z
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (.f64 -1/36 z))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/5040 z) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 z) (.f64 -1/36 z))) (.f64 1/720 z))))) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (*.f64 -1/36 z)))))))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(+.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 0)
(+.f64 0 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))
(-.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 0)
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(.f64 (sin.f64 y) (.f64 (/.f64 1 y) (/.f64 x z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 1)
(.f64 1 (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 1/2 (/.f64 z x)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x (/.f64 1/2 z)))
(*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (sin.f64 y) y) z) 1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 z) (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 (*.f64 z (/.f64 y x))))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) (/.f64 1/2 y)))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 1 (/.f64 y x)))
(*.f64 2 (/.f64 x (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y))))
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (+.f64 z z) x)))
(.f64 2 (/.f64 (sin.f64 y) (.f64 (+.f64 z z) (/.f64 y x))))
(.f64 2 (/.f64 (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 2))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 z)) (/.f64 (sin.f64 y) y)))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 z x)) (/.f64 (sin.f64 y) y)))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))) x))
(.f64 2 (.f64 (/.f64 1/2 (*.f64 z (/.f64 y x))) (sin.f64 y)))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 y (/.f64 (.f64 z 4) x))))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 1 (*.f64 2 (/.f64 y x))))
(.f64 (.f64 (/.f64 (sin.f64 y) y) 4) (/.f64 1 (/.f64 (*.f64 z 4) x)))
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(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4)))
(.f64 (.f64 x (/.f64 (sin.f64 y) z)) (/.f64 1 y))
(.f64 (.f64 (sin.f64 y) (/.f64 (+.f64 x x) z)) (/.f64 1/2 y))
(.f64 (/.f64 1 y) (.f64 x (/.f64 (sin.f64 y) z)))
(*.f64 (/.f64 1 z) (/.f64 (sin.f64 y) (/.f64 y x)))
(.f64 (/.f64 1 z) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 (/.f64 z x) (neg.f64 y))))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 (neg.f64 z) (/.f64 y x))))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 1 (/.f64 z (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 (/.f64 z x) (neg.f64 y))))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 (neg.f64 z) (/.f64 y x))))
(.f64 -1 (/.f64 x (.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 (sin.f64 y) (/.f64 (+.f64 z z) x)))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) (/.f64 1 z))
(*.f64 (/.f64 1 (/.f64 y x)) (/.f64 (sin.f64 y) z))
(.f64 (.f64 (sin.f64 y) (/.f64 2 (/.f64 y x))) (/.f64 1/2 z))
(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 (*.f64 z (/.f64 y x)))))
(.f64 (/.f64 1/2 z) (.f64 (sin.f64 y) (/.f64 2 (/.f64 y x))))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (/.f64 (+.f64 x x) z)))
(*.f64 (/.f64 2 (/.f64 z x)) (/.f64 (sin.f64 y) (+.f64 y y)))
(.f64 (/.f64 2 z) (/.f64 (sin.f64 y) (.f64 2 (/.f64 y x))))
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
(.f64 (/.f64 1/2 (/.f64 z x)) (.f64 (sin.f64 y) (/.f64 2 y)))
(*.f64 (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))) (+.f64 x x))
(.f64 (/.f64 1/2 (.f64 z (/.f64 y x))) (*.f64 (sin.f64 y) 2))
(.f64 (.f64 x (/.f64 1/2 z)) (*.f64 (sin.f64 y) (/.f64 2 y)))
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 y) y) z) 1/2) (+.f64 x x))
(.f64 (.f64 (/.f64 1 y) (/.f64 x z)) (sin.f64 y))
(.f64 (.f64 (/.f64 x z) (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (/.f64 2 (/.f64 z x)))
(*.f64 (/.f64 x (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y))) 2)
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 (/.f64 (sin.f64 y) (/.f64 (+.f64 z z) x)) (.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 1 (/.f64 z (neg.f64 x))) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (+.f64 z z) x)) 2)
(.f64 (/.f64 (sin.f64 y) (.f64 (+.f64 z z) (/.f64 y x))) 2)
(.f64 (/.f64 1 (.f64 y (/.f64 (.f64 z 4) x))) (.f64 (sin.f64 y) 4))
(.f64 (/.f64 1 (.f64 2 (/.f64 y x))) (*.f64 (sin.f64 y) (/.f64 2 z)))
(.f64 (/.f64 1 (/.f64 (.f64 z 4) x)) (*.f64 (/.f64 (sin.f64 y) y) 4))
(.f64 (/.f64 (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4)) (*.f64 x 4))
(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 z x) (neg.f64 y))) -1)
(.f64 (/.f64 1 (.f64 (/.f64 z x) (neg.f64 y))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) (.f64 (neg.f64 z) (/.f64 y x))) -1)
(.f64 (/.f64 1 (.f64 (neg.f64 z) (/.f64 y x))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 x (.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))) -1)
(.f64 (/.f64 1 (.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))) (neg.f64 x))
(.f64 (/.f64 (sin.f64 y) (.f64 2 (/.f64 y x))) (/.f64 2 z))
(.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (.f64 x (/.f64 (sin.f64 y) z)))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 z x)) (/.f64 1/2 (/.f64 z x))) (/.f64 (sin.f64 y) y))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))) (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y)))) x)
(.f64 (+.f64 (/.f64 1/2 (.f64 z (/.f64 y x))) (/.f64 1/2 (*.f64 z (/.f64 y x)))) (sin.f64 y))
(pow.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 1)
(neg.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 (/.f64 y x))) z))
(+.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 0)
(+.f64 0 (/.f64 z (/.f64 (sin.f64 y) y)))
(-.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 0)
(-.f64 0 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 1)
(*.f64 1 (/.f64 z (/.f64 (sin.f64 y) y)))
(*.f64 (+.f64 z z) (/.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 (+.f64 z z) (.f64 (/.f64 y (sin.f64 y)) 1/2))
(.f64 (+.f64 z z) (.f64 (/.f64 1/2 (sin.f64 y)) y))
(*.f64 (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)) 1/2)
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 (sin.f64 y) z)))
(.f64 (+.f64 y y) (.f64 z (/.f64 1/2 (sin.f64 y))))
(.f64 2 (/.f64 z (.f64 (sin.f64 y) (/.f64 2 y))))
(*.f64 2 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 2))
(.f64 2 (/.f64 y (.f64 (sin.f64 y) (/.f64 2 z))))
(.f64 2 (.f64 (*.f64 z (/.f64 1/2 (sin.f64 y))) y))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 (sin.f64 y) y)) z))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 (sin.f64 y) z)) y))
(.f64 (.f64 y 4) (/.f64 1 (/.f64 (*.f64 (sin.f64 y) 4) z)))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) 4)))
(.f64 (.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4) 1/4)
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(.f64 (.f64 (neg.f64 z) (/.f64 y (sin.f64 y))) -1)
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (/.f64 1 z)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(*.f64 (/.f64 z (sin.f64 y)) (/.f64 1 (/.f64 1 y)))
(.f64 -1 (.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (+.f64 z z) (sin.f64 y)) (/.f64 y 2))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 z 2))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 z (/.f64 1 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 1 z)))
(*.f64 1/2 (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 y) y)) (+.f64 z z))
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 y) z)) (+.f64 y y))
(.f64 (.f64 z (/.f64 1/2 (sin.f64 y))) (+.f64 y y))
(.f64 (.f64 (/.f64 y (sin.f64 y)) 1/2) (+.f64 z z))
(.f64 (/.f64 z (.f64 (sin.f64 y) (/.f64 2 y))) 2)
(*.f64 (/.f64 z (/.f64 1 y)) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 1 z)) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 z 2) (.f64 y (/.f64 2 (sin.f64 y))))
(.f64 1/4 (.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4))
(*.f64 (/.f64 y 2) (/.f64 (+.f64 z z) (sin.f64 y)))
(*.f64 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 2) 2)
(.f64 (/.f64 y (.f64 (sin.f64 y) (/.f64 2 z))) 2)
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 y) 4) z)) (*.f64 y 4))
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 y) y) 4)) (*.f64 z 4))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))) (neg.f64 y))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))) (neg.f64 z))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 (sin.f64 y) y)) (/.f64 1/2 (/.f64 (sin.f64 y) y))) z)
(*.f64 (+.f64 (/.f64 1/2 (/.f64 (sin.f64 y) z)) (/.f64 1/2 (/.f64 (sin.f64 y) z))) y)
(pow.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 1)
(neg.f64 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))

Outputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 2)) z)))
(+.f64 (/.f64 x z) (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6)))
(+.f64 (/.f64 x z) (.f64 -1/6 (.f64 (/.f64 x z) (pow.f64 y 2))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 2)) z)) (+.f64 (/.f64 x z) (.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z))))
(+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6)) (+.f64 (/.f64 x z) (.f64 1/120 (.f64 (pow.f64 y 4) (/.f64 x z)))))
(+.f64 (/.f64 x z) (+.f64 (.f64 -1/6 (.f64 (/.f64 x z) (pow.f64 y 2))) (.f64 (pow.f64 y 4) (.f64 (/.f64 x z) 1/120))))
(+.f64 (/.f64 x z) (.f64 x (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 4) z)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(+.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 2)) z)) (+.f64 (/.f64 x z) (.f64 1/120 (/.f64 (.f64 x (pow.f64 y 4)) z)))) (.f64 -1/5040 (.f64 x (/.f64 (pow.f64 y 6) z))))
(+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6)) (+.f64 (+.f64 (/.f64 x z) (.f64 1/120 (.f64 (pow.f64 y 4) (/.f64 x z)))) (.f64 x (.f64 (/.f64 (pow.f64 y 6) z) -1/5040))))
(+.f64 (/.f64 x z) (+.f64 (+.f64 (.f64 -1/6 (.f64 (/.f64 x z) (pow.f64 y 2))) (.f64 (pow.f64 y 4) (.f64 (/.f64 x z) 1/120))) (.f64 x (.f64 -1/5040 (/.f64 (pow.f64 y 6) z)))))
(+.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (.f64 x (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 4) z)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) z))))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
z
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 z (.f64 (pow.f64 y 2) (.f64 z 1/6)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (.f64 -1/36 z))))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 z 1/6)) (+.f64 z (.f64 (pow.f64 y 4) (.f64 (+.f64 (.f64 z 1/120) (.f64 z -1/36)) -1))))
(+.f64 (.f64 (pow.f64 y 4) (neg.f64 (.f64 z -7/360))) (+.f64 z (.f64 (pow.f64 y 2) (.f64 z 1/6))))
(+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z 1/6)) (.f64 (pow.f64 y 4) (.f64 z 7/360))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) (+.f64 (.f64 -1/5040 z) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 z) (.f64 -1/36 z))) (.f64 1/720 z))))) (+.f64 z (.f64 -1 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/120 z) (*.f64 -1/36 z)))))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 z 1/6)) (+.f64 (+.f64 z (.f64 (pow.f64 y 4) (.f64 (+.f64 (.f64 z 1/120) (.f64 z -1/36)) -1))) (.f64 -1 (.f64 (pow.f64 y 6) (+.f64 (.f64 1/6 (+.f64 (.f64 z 1/120) (.f64 z -1/36))) (+.f64 (.f64 z 1/720) (*.f64 z -1/5040)))))))
(+.f64 z (+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 1/6 (.f64 z -7/360)) (.f64 z 1/840))) (.f64 (pow.f64 y 4) (.f64 z -7/360)))) (.f64 (pow.f64 y 2) (*.f64 z 1/6))))
(+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z 1/6)) (+.f64 (.f64 (pow.f64 y 4) (.f64 z 7/360)) (.f64 (pow.f64 y 6) (neg.f64 (+.f64 (.f64 z -7/2160) (*.f64 z 1/840)))))))
(+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z 1/6)) (+.f64 (.f64 (pow.f64 y 4) (.f64 z 7/360)) (.f64 (pow.f64 y 6) (neg.f64 (.f64 z -31/15120))))))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 z (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 0)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(+.f64 0 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(-.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 0)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 (sin.f64 y) (.f64 (/.f64 1 y) (/.f64 x z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 1)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 1 (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 1/2 (/.f64 z x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (*.f64 x (/.f64 1/2 z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (sin.f64 y) y) z) 1/2))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 z) (/.f64 (sin.f64 y) y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 (*.f64 z (/.f64 y x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) (/.f64 1/2 y)))
(.f64 (sin.f64 y) (.f64 2 (*.f64 (/.f64 x z) (/.f64 1/2 y))))
(.f64 (sin.f64 y) (.f64 (/.f64 x z) (*.f64 (/.f64 1/2 y) 2)))
(.f64 (sin.f64 y) (.f64 (/.f64 x z) (*.f64 2 (/.f64 1/2 y))))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 1 (/.f64 y x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 2 (/.f64 x (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (+.f64 z z) x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 2 (/.f64 (sin.f64 y) (.f64 (+.f64 z z) (/.f64 y x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 2 (/.f64 (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) 2))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 z)) (/.f64 (sin.f64 y) y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 z x)) (/.f64 (sin.f64 y) y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 z (/.f64 (sin.f64 y) y))) x))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 2 (.f64 (/.f64 1/2 (*.f64 z (/.f64 y x))) (sin.f64 y)))
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(.f64 (+.f64 z z) (.f64 (/.f64 1/2 (sin.f64 y)) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)) 1/2)
(*.f64 1/2 (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) (/.f64 1/2 z))))
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 (sin.f64 y) z)))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (+.f64 y y) (.f64 z (/.f64 1/2 (sin.f64 y))))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 2 (/.f64 z (.f64 (sin.f64 y) (/.f64 2 y))))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 2 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 2))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 2 (/.f64 y (.f64 (sin.f64 y) (/.f64 2 z))))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 2 (.f64 (*.f64 z (/.f64 1/2 (sin.f64 y))) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 (sin.f64 y) y)) z))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 (sin.f64 y) z)) y))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (.f64 y 4) (/.f64 1 (/.f64 (*.f64 (sin.f64 y) 4) z)))
(.f64 y (.f64 4 (/.f64 1 (*.f64 4 (/.f64 (sin.f64 y) z)))))
(.f64 y (.f64 4 (/.f64 1/4 (/.f64 (sin.f64 y) z))))
(.f64 4 (/.f64 y (.f64 (sin.f64 y) (/.f64 4 z))))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 (/.f64 (sin.f64 y) y) 4)))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4) 1/4)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (neg.f64 y) (/.f64 z (sin.f64 (neg.f64 y))))
(*.f64 (neg.f64 y) (/.f64 z (neg.f64 (sin.f64 y))))
(*.f64 y (neg.f64 (/.f64 z (neg.f64 (sin.f64 y)))))
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (.f64 (neg.f64 z) (/.f64 y (sin.f64 y))) -1)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 (/.f64 1 z)))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) y)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) (/.f64 1 (/.f64 1 y)))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 -1 (.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 (+.f64 z z) (sin.f64 y)) (/.f64 y 2))
(.f64 (.f64 y (/.f64 2 (sin.f64 y))) (/.f64 z 2))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 z (/.f64 1 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 1 z)))
(.f64 (.f64 y z) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 1 z)))
(.f64 (.f64 y z) (/.f64 1 (sin.f64 y)))
(*.f64 1/2 (/.f64 (+.f64 z z) (/.f64 (sin.f64 y) y)))
(.f64 1/2 (/.f64 y (.f64 (sin.f64 y) (/.f64 1/2 z))))
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 y) y)) (+.f64 z z))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 y) z)) (+.f64 y y))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (.f64 z (/.f64 1/2 (sin.f64 y))) (+.f64 y y))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (.f64 (/.f64 y (sin.f64 y)) 1/2) (+.f64 z z))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (/.f64 z (.f64 (sin.f64 y) (/.f64 2 y))) 2)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 z (/.f64 1 y)) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 1 z)))
(.f64 (.f64 y z) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (/.f64 1 z)) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y (/.f64 1 z)))
(.f64 (.f64 y z) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 z (sin.f64 y)))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 1 z)) (/.f64 y (sin.f64 y)))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (/.f64 z 2) (.f64 y (/.f64 2 (sin.f64 y))))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 1/4 (.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 4))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 y 2) (/.f64 (+.f64 z z) (sin.f64 y)))
(*.f64 (/.f64 (+.f64 z z) (sin.f64 y)) (/.f64 y 2))
(*.f64 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 2) 2)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (/.f64 y (.f64 (sin.f64 y) (/.f64 2 z))) 2)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 y) 4) z)) (*.f64 y 4))
(.f64 y (.f64 4 (/.f64 1 (*.f64 4 (/.f64 (sin.f64 y) z)))))
(.f64 y (.f64 4 (/.f64 1/4 (/.f64 (sin.f64 y) z))))
(.f64 4 (/.f64 y (.f64 (sin.f64 y) (/.f64 4 z))))
(.f64 (/.f64 1 (.f64 (/.f64 (sin.f64 y) y) 4)) (*.f64 z 4))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (neg.f64 y) (/.f64 z (sin.f64 (neg.f64 y))))
(*.f64 (neg.f64 y) (/.f64 z (neg.f64 (sin.f64 y))))
(*.f64 y (neg.f64 (/.f64 z (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (neg.f64 y))) (neg.f64 z))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 (sin.f64 y) y)) (/.f64 1/2 (/.f64 (sin.f64 y) y))) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(*.f64 (+.f64 (/.f64 1/2 (/.f64 (sin.f64 y) z)) (/.f64 1/2 (/.f64 (sin.f64 y) z))) y)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(pow.f64 (/.f64 z (/.f64 (sin.f64 y) y)) 1)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))
(neg.f64 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(*.f64 y (/.f64 z (sin.f64 y)))

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 1 z))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(*.f64 x (/.f64 1 z))
0.0ms	x	@	-inf	(*.f64 x (/.f64 1 z))
0.0ms	x	@	0	(*.f64 x (/.f64 1 z))
0.0ms	x	@	inf	(*.f64 x (/.f64 1 z))
0.0ms	z	@	0	(*.f64 x (/.f64 1 z))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`rational.json-1`
1316×	`rational.json-2`
1316×	`rational.json-4`
1316×	`rational.json-3`
1298×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	7
2	142	7
3	288	7
4	651	7
5	2090	7
6	5348	7

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/2 z)) (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 z z) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 z (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 z) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 4 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 4 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 z 8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 z) (*.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (/.f64 z (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 2 (neg.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 2 (/.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 4 z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 z (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (*.f64 x 1/2)) (*.f64 z (*.f64 (/.f64 2 x) (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (*.f64 2 (*.f64 2 (*.f64 4 (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (*.f64 2 (/.f64 (*.f64 z 8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 2 (neg.f64 (/.f64 z (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (*.f64 4 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (*.f64 z 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 z x)) (*.f64 (/.f64 z (*.f64 x 1/2)) (/.f64 z (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 z x)) (*.f64 2 (*.f64 z (*.f64 (/.f64 2 x) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/2 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 (*.f64 z z) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x -2)) (*.f64 (neg.f64 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) (*.f64 (*.f64 z 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) z) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (*.f64 z (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 8)) (neg.f64 (*.f64 z 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 z 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 z x)) (neg.f64 (*.f64 (/.f64 z x) (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (neg.f64 (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x -2))) (*.f64 2 (*.f64 (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 x z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 x 4))) (*.f64 2 (neg.f64 (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 x -2))) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (neg.f64 x) z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 x 8) z)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 z)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 z)) (neg.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 x -2))) (neg.f64 (*.f64 (neg.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4))) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4))) (neg.f64 (neg.f64 (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x -2))) (*.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) z))))))

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational.json-simplify-35`
1126×	`rational.json-simplify-49`
1104×	`rational.json-simplify-46`
970×	`rational.json-simplify-53`
958×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	716
1	586	716
2	1736	692
3	4857	692
4	7941	692

Stop Event

1×	node limit

Counts

92 → 72

Calls

Call 1

Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 (/.f64 x z) 0)
(+.f64 0 (/.f64 x z))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(-.f64 (/.f64 x z) 0)
(-.f64 0 (/.f64 (neg.f64 x) z))
(/.f64 x z)
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 1 (/.f64 z x))
(/.f64 (/.f64 1 z) (/.f64 1 x))
(/.f64 (/.f64 x z) 1)
(/.f64 2 (/.f64 z (*.f64 x 1/2)))
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 4 (*.f64 4 (/.f64 z x)))
(/.f64 (+.f64 x x) (+.f64 z z))
(/.f64 (*.f64 x (/.f64 2 z)) 2)
(/.f64 -1 (/.f64 z (neg.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 z x)))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 z x))))
(/.f64 8 (/.f64 (*.f64 z 8) x))
(/.f64 (/.f64 4 z) (*.f64 2 (/.f64 2 x)))
(/.f64 -2 (neg.f64 (/.f64 z (*.f64 x 1/2))))
(/.f64 -2 (*.f64 2 (neg.f64 (/.f64 z x))))
(/.f64 -2 (*.f64 2 (/.f64 z (neg.f64 x))))
(/.f64 (.f64 x 4) (.f64 z 4))
(/.f64 (*.f64 x (/.f64 4 z)) 4)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 2 x) (/.f64 z x))))
(/.f64 16 (.f64 2 (.f64 2 (*.f64 4 (/.f64 z x)))))
(/.f64 16 (.f64 2 (/.f64 (.f64 z 8) x)))
(/.f64 -4 (.f64 2 (neg.f64 (/.f64 z (.f64 x 1/2)))))
(/.f64 -4 (neg.f64 (*.f64 4 (/.f64 z x))))
(/.f64 (.f64 x 8) (.f64 z 8))
(/.f64 (*.f64 (/.f64 x z) 8) 8)
(/.f64 (.f64 x -2) (.f64 z -2))
(/.f64 (.f64 4 (/.f64 z x)) (.f64 (/.f64 z (.f64 x 1/2)) (/.f64 z (.f64 x 1/2))))
(/.f64 (.f64 4 (/.f64 z x)) (.f64 2 (.f64 z (.f64 (/.f64 2 x) (/.f64 z x)))))
(/.f64 (*.f64 x (/.f64 1/2 z)) 1/2)
(/.f64 (.f64 x 1/2) (.f64 z 1/2))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 z z) (+.f64 z z)))
(/.f64 (.f64 2 (.f64 x -2)) (*.f64 (neg.f64 z) 4))
(/.f64 (.f64 2 (.f64 x 8)) (.f64 (.f64 z 4) 4))
(/.f64 (/.f64 (*.f64 x 8) z) 8)
(/.f64 (/.f64 (neg.f64 x) z) -1)
(/.f64 -1/2 (neg.f64 (*.f64 z (/.f64 1/2 x))))
(/.f64 (.f64 2 (.f64 (/.f64 x z) 8)) 16)
(/.f64 (neg.f64 (.f64 x 8)) (neg.f64 (.f64 z 8)))
(/.f64 (/.f64 x (*.f64 z 4)) 1/4)
(/.f64 (neg.f64 (/.f64 z x)) (neg.f64 (*.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 z 4)))
(/.f64 (neg.f64 (*.f64 x -2)) (+.f64 z z))
(/.f64 (.f64 2 (.f64 2 (.f64 x -2))) (.f64 2 (*.f64 (neg.f64 z) 4)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 x z) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 x 4))) (.f64 2 (neg.f64 (.f64 z 4))))
(/.f64 (.f64 2 (neg.f64 (.f64 x -2))) (*.f64 z 4))
(/.f64 (*.f64 2 (/.f64 (neg.f64 x) z)) -2)
(/.f64 (.f64 2 (/.f64 (.f64 x 8) z)) 16)
(/.f64 (neg.f64 (.f64 x 1/2)) (neg.f64 (.f64 z 1/2)))
(/.f64 (neg.f64 (/.f64 1 z)) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 2 z)) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (.f64 2 (.f64 x -2))) (neg.f64 (*.f64 (neg.f64 z) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 z 4))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (neg.f64 (neg.f64 (.f64 z 4))))
(/.f64 (neg.f64 (neg.f64 (.f64 x -2))) (.f64 z -2))
(pow.f64 (/.f64 x z) 1)
(neg.f64 (/.f64 (neg.f64 x) z))

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 (/.f64 x z) 0)
(/.f64 x z)
(+.f64 0 (/.f64 x z))
(/.f64 x z)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(/.f64 x z)
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(/.f64 x z)
(-.f64 (/.f64 x z) 0)
(/.f64 x z)
(-.f64 0 (/.f64 (neg.f64 x) z))
(/.f64 x z)
(/.f64 x z)
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(/.f64 x z)
(/.f64 (/.f64 1 z) (/.f64 1 x))
(/.f64 x z)
(/.f64 (/.f64 x z) 1)
(/.f64 x z)
(/.f64 2 (/.f64 z (*.f64 x 1/2)))
(/.f64 x z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 x z)
(/.f64 4 (*.f64 4 (/.f64 z x)))
(/.f64 x z)
(/.f64 (+.f64 x x) (+.f64 z z))
(/.f64 x z)
(/.f64 (*.f64 x (/.f64 2 z)) 2)
(/.f64 x z)
(/.f64 -1 (/.f64 z (neg.f64 x)))
(/.f64 x z)
(/.f64 -1 (neg.f64 (/.f64 z x)))
(/.f64 x z)
(/.f64 8 (.f64 2 (.f64 4 (/.f64 z x))))
(/.f64 x z)
(/.f64 8 (/.f64 (*.f64 z 8) x))
(/.f64 x z)
(/.f64 (/.f64 4 z) (*.f64 2 (/.f64 2 x)))
(/.f64 x z)
(/.f64 -2 (neg.f64 (/.f64 z (*.f64 x 1/2))))
(/.f64 x z)
(/.f64 -2 (*.f64 2 (neg.f64 (/.f64 z x))))
(/.f64 x z)
(/.f64 -2 (*.f64 2 (/.f64 z (neg.f64 x))))
(/.f64 x z)
(/.f64 (.f64 x 4) (.f64 z 4))
(/.f64 x z)
(/.f64 (*.f64 x (/.f64 4 z)) 4)
(/.f64 x z)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 x z)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 x z)
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 2 x) (/.f64 z x))))
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 z x) (/.f64 2 x))))
(/.f64 (/.f64 z (.f64 (.f64 x 1/2) z)) (*.f64 (/.f64 z x) (/.f64 2 x)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 16 (.f64 2 (.f64 2 (*.f64 4 (/.f64 z x)))))
(/.f64 x z)
(/.f64 16 (.f64 2 (/.f64 (.f64 z 8) x)))
(/.f64 x z)
(/.f64 -4 (.f64 2 (neg.f64 (/.f64 z (.f64 x 1/2)))))
(/.f64 x z)
(/.f64 -4 (neg.f64 (*.f64 4 (/.f64 z x))))
(/.f64 x z)
(/.f64 (.f64 x 8) (.f64 z 8))
(/.f64 x z)
(/.f64 (*.f64 (/.f64 x z) 8) 8)
(/.f64 x z)
(/.f64 (.f64 x -2) (.f64 z -2))
(/.f64 x z)
(/.f64 (.f64 4 (/.f64 z x)) (.f64 (/.f64 z (.f64 x 1/2)) (/.f64 z (.f64 x 1/2))))
(/.f64 x z)
(/.f64 (.f64 4 (/.f64 z x)) (.f64 2 (.f64 z (.f64 (/.f64 2 x) (/.f64 z x)))))
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 z x) (/.f64 2 x))))
(/.f64 (/.f64 z (.f64 (.f64 x 1/2) z)) (*.f64 (/.f64 z x) (/.f64 2 x)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 (*.f64 x (/.f64 1/2 z)) 1/2)
(/.f64 x z)
(/.f64 (.f64 x 1/2) (.f64 z 1/2))
(/.f64 x z)
(/.f64 (.f64 x 1/2) (/.f64 (.f64 z z) (+.f64 z z)))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 x -2)) (*.f64 (neg.f64 z) 4))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 x 8)) (.f64 (.f64 z 4) 4))
(/.f64 x z)
(/.f64 (/.f64 (*.f64 x 8) z) 8)
(/.f64 x z)
(/.f64 (/.f64 (neg.f64 x) z) -1)
(/.f64 x z)
(/.f64 -1/2 (neg.f64 (*.f64 z (/.f64 1/2 x))))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 (/.f64 x z) 8)) 16)
(/.f64 x z)
(/.f64 (neg.f64 (.f64 x 8)) (neg.f64 (.f64 z 8)))
(/.f64 x z)
(/.f64 (/.f64 x (*.f64 z 4)) 1/4)
(/.f64 x z)
(/.f64 (neg.f64 (/.f64 z x)) (neg.f64 (*.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 x z)
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 z 4)))
(/.f64 x z)
(/.f64 (neg.f64 (*.f64 x -2)) (+.f64 z z))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 2 (.f64 x -2))) (.f64 2 (*.f64 (neg.f64 z) 4)))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 x z) 8))) 32)
(/.f64 x z)
(/.f64 (.f64 2 (neg.f64 (.f64 x 4))) (.f64 2 (neg.f64 (.f64 z 4))))
(/.f64 x z)
(/.f64 (.f64 2 (neg.f64 (.f64 x -2))) (*.f64 z 4))
(/.f64 x z)
(/.f64 (*.f64 2 (/.f64 (neg.f64 x) z)) -2)
(/.f64 x z)
(/.f64 (.f64 2 (/.f64 (.f64 x 8) z)) 16)
(/.f64 x z)
(/.f64 (neg.f64 (.f64 x 1/2)) (neg.f64 (.f64 z 1/2)))
(/.f64 x z)
(/.f64 (neg.f64 (/.f64 1 z)) (neg.f64 (/.f64 1 x)))
(/.f64 x z)
(/.f64 (neg.f64 (/.f64 2 z)) (neg.f64 (/.f64 2 x)))
(/.f64 x z)
(/.f64 (neg.f64 (.f64 2 (.f64 x -2))) (neg.f64 (*.f64 (neg.f64 z) 4)))
(/.f64 x z)
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 z 4))
(/.f64 x z)
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (neg.f64 (neg.f64 (.f64 z 4))))
(/.f64 x z)
(/.f64 (neg.f64 (neg.f64 (.f64 x -2))) (.f64 z -2))
(/.f64 x z)
(pow.f64 (/.f64 x z) 1)
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(/.f64 x z)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (/.f64 y (.f64 y z)))
✓	12.7b	(/.f64 y (*.f64 y z))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-4`
1328×	`rational.json-3`
1318×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	57	32
2	161	14
3	548	14
4	1683	14
5	4707	14

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (*.f64 (neg.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 y (+.f64 z z))) (/.f64 y (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 y z) (+.f64 y y)) (/.f64 (/.f64 y z) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 z) 2) (/.f64 (/.f64 1 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (*.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 y z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 z) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y z) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 y (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 z) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (*.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 z) y) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (neg.f64 y) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y z) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y (+.f64 z z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 z) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (*.f64 z 4))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (neg.f64 y) z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y z) (neg.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 x z) 2) (/.f64 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (*.f64 y (+.f64 z z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (*.f64 2 (/.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 z z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (*.f64 2 (/.f64 (*.f64 y (+.f64 z z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (*.f64 y z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 z 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 (+.f64 z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (*.f64 2 (/.f64 (*.f64 y z) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 z) 4) (*.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 2 (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 z) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 z) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 z)) (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (neg.f64 z)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (*.f64 z 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x z) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y z) -2) (*.f64 2 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (*.f64 y z))) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y (/.f64 2 z))) (*.f64 2 (/.f64 (+.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 2) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 x z) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 x 4) z)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x y)) (*.f64 2 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 x)) (*.f64 2 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (*.f64 y z))) (neg.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))))

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1868×	`rational.json-simplify-35`
1588×	`rational.json-simplify-51`
978×	`rational.json-simplify-49`
978×	`rational.json-simplify-46`
634×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	1111
1	641	1111
2	1845	1111
3	4886	1111

Stop Event

1×	node limit

Counts

157 → 98

Calls

Call 1

Inputs
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 (/.f64 1 z) 0)
(+.f64 0 (/.f64 1 z))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 y) (*.f64 y z))))
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (neg.f64 y) z))))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y))))
(+.f64 (/.f64 y (.f64 y (+.f64 z z))) (/.f64 y (.f64 y (+.f64 z z))))
(+.f64 (/.f64 (/.f64 y z) (+.f64 y y)) (/.f64 (/.f64 y z) (+.f64 y y)))
(+.f64 (/.f64 (/.f64 1 z) 2) (/.f64 (/.f64 1 z) 2))
(-.f64 (/.f64 1 z) 0)
(-.f64 0 (/.f64 (neg.f64 y) (*.f64 y z)))
(-.f64 0 (/.f64 y (*.f64 (neg.f64 y) z)))
(-.f64 0 (/.f64 (/.f64 y z) (neg.f64 y)))
(*.f64 y (/.f64 (/.f64 1 z) y))
(*.f64 (/.f64 1 z) 1)
(*.f64 1 (/.f64 1 z))
(*.f64 (+.f64 y y) (/.f64 (/.f64 1/2 y) z))
(.f64 (+.f64 y y) (.f64 (/.f64 (/.f64 1 z) y) 1/2))
(.f64 2 (/.f64 y (.f64 y (+.f64 z z))))
(*.f64 2 (/.f64 (/.f64 y z) (+.f64 y y)))
(*.f64 2 (/.f64 (/.f64 1 z) 2))
(.f64 (.f64 y 4) (/.f64 1 (.f64 y (.f64 z 4))))
(*.f64 (/.f64 y z) (/.f64 1 y))
(*.f64 (/.f64 1 y) (/.f64 y z))
(*.f64 (/.f64 (/.f64 1 z) y) y)
(.f64 (neg.f64 y) (/.f64 -1 (.f64 y z)))
(.f64 (neg.f64 y) (/.f64 1 (.f64 (neg.f64 y) z)))
(.f64 -1 (/.f64 (neg.f64 y) (.f64 y z)))
(.f64 -1 (/.f64 y (.f64 (neg.f64 y) z)))
(*.f64 (/.f64 2 z) 1/2)
(*.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y))
(*.f64 1/2 (/.f64 2 z))
(.f64 (.f64 (/.f64 (/.f64 1 z) y) 1/2) (+.f64 y y))
(.f64 (/.f64 (neg.f64 y) (.f64 y z)) -1)
(.f64 (/.f64 y (.f64 (neg.f64 y) z)) -1)
(*.f64 (/.f64 (/.f64 y z) (neg.f64 y)) -1)
(.f64 (/.f64 y (.f64 y (+.f64 z z))) 2)
(*.f64 (/.f64 (/.f64 1 z) 2) 2)
(.f64 (/.f64 1 (.f64 y (.f64 z 4))) (.f64 y 4))
(.f64 (/.f64 -1 (.f64 y z)) (neg.f64 y))
(.f64 (/.f64 1 (.f64 (neg.f64 y) z)) (neg.f64 y))
(pow.f64 (/.f64 1 z) 1)
(neg.f64 (/.f64 (neg.f64 y) (*.f64 y z)))
(neg.f64 (/.f64 y (*.f64 (neg.f64 y) z)))
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 y)))
(+.f64 (/.f64 x z) 0)
(+.f64 0 (/.f64 x z))
(+.f64 (/.f64 (/.f64 x z) 2) (/.f64 (/.f64 x z) 2))
(-.f64 (/.f64 x z) 0)
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 1 z) (/.f64 1 x))
(/.f64 x z)
(/.f64 (/.f64 x z) 1)
(/.f64 1 (/.f64 z x))
(/.f64 (+.f64 y y) (/.f64 (*.f64 y (+.f64 z z)) x))
(/.f64 (+.f64 y y) (.f64 2 (/.f64 (.f64 y z) x)))
(/.f64 2 (/.f64 (+.f64 z z) x))
(/.f64 2 (*.f64 2 (/.f64 z x)))
(/.f64 (/.f64 (+.f64 x x) z) 2)
(/.f64 (.f64 y 4) (.f64 2 (/.f64 (*.f64 y (+.f64 z z)) x)))
(/.f64 (+.f64 x x) (+.f64 z z))
(/.f64 (/.f64 y z) (/.f64 y x))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))
(/.f64 (neg.f64 y) (/.f64 (*.f64 y z) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 z) x))
(/.f64 4 (/.f64 (*.f64 z 4) x))
(/.f64 4 (*.f64 2 (/.f64 (+.f64 z z) x)))
(/.f64 (.f64 y -2) (.f64 2 (/.f64 (*.f64 y z) (neg.f64 x))))
(/.f64 (.f64 (/.f64 1 z) 4) (.f64 2 (/.f64 2 x)))
(/.f64 -2 (*.f64 2 (/.f64 (neg.f64 z) x)))
(/.f64 (*.f64 (/.f64 x z) 4) 4)
(/.f64 (.f64 x 4) (.f64 z 4))
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 2 z) (*.f64 2 (/.f64 1 x)))
(/.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))
(/.f64 (.f64 y (/.f64 2 z)) (.f64 2 (/.f64 y x)))
(/.f64 (/.f64 y (neg.f64 z)) (/.f64 (neg.f64 y) x))
(/.f64 8 (.f64 2 (/.f64 (.f64 z 4) x)))
(/.f64 (.f64 2 (.f64 (/.f64 x z) 4)) 8)
(/.f64 (.f64 (/.f64 y z) -2) (.f64 2 (/.f64 (neg.f64 y) x)))
(/.f64 (.f64 2 (/.f64 1 y)) (.f64 2 (/.f64 (/.f64 z y) x)))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 z 4)))
(/.f64 (.f64 2 (/.f64 x (.f64 y z))) (*.f64 2 (/.f64 1 y)))
(/.f64 (/.f64 (*.f64 x 4) z) 4)
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (.f64 2 (.f64 y (/.f64 2 z))) (*.f64 2 (/.f64 (+.f64 y y) x)))
(/.f64 (/.f64 x 2) (*.f64 z 1/2))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 x z) 4))) 16)
(/.f64 (.f64 2 (/.f64 (.f64 x 4) z)) 8)
(/.f64 (.f64 2 (/.f64 x y)) (.f64 2 (/.f64 z y)))
(/.f64 (.f64 2 (neg.f64 x)) (.f64 2 (neg.f64 z)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 z z)))
(/.f64 (neg.f64 (/.f64 x (*.f64 y z))) (neg.f64 (/.f64 1 y)))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 z y)))
(/.f64 (neg.f64 (neg.f64 x)) z)
(pow.f64 (/.f64 x z) 1)

Outputs
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 (/.f64 1 z) 0)
(/.f64 1 z)
(+.f64 0 (/.f64 1 z))
(/.f64 1 z)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 y) (*.f64 y z))))
(/.f64 1 z)
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (neg.f64 y) z))))
(/.f64 1 z)
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y))))
(/.f64 1 z)
(+.f64 (/.f64 y (.f64 y (+.f64 z z))) (/.f64 y (.f64 y (+.f64 z z))))
(/.f64 1 z)
(+.f64 (/.f64 (/.f64 y z) (+.f64 y y)) (/.f64 (/.f64 y z) (+.f64 y y)))
(/.f64 1 z)
(+.f64 (/.f64 (/.f64 1 z) 2) (/.f64 (/.f64 1 z) 2))
(/.f64 1 z)
(-.f64 (/.f64 1 z) 0)
(/.f64 1 z)
(-.f64 0 (/.f64 (neg.f64 y) (*.f64 y z)))
(/.f64 1 z)
(-.f64 0 (/.f64 y (*.f64 (neg.f64 y) z)))
(/.f64 1 z)
(-.f64 0 (/.f64 (/.f64 y z) (neg.f64 y)))
(/.f64 1 z)
(*.f64 y (/.f64 (/.f64 1 z) y))
(/.f64 1 z)
(*.f64 (/.f64 1 z) 1)
(/.f64 1 z)
(*.f64 1 (/.f64 1 z))
(/.f64 1 z)
(*.f64 (+.f64 y y) (/.f64 (/.f64 1/2 y) z))
(/.f64 1 z)
(.f64 (+.f64 y y) (.f64 (/.f64 (/.f64 1 z) y) 1/2))
(/.f64 1 z)
(.f64 2 (/.f64 y (.f64 y (+.f64 z z))))
(/.f64 1 z)
(*.f64 2 (/.f64 (/.f64 y z) (+.f64 y y)))
(/.f64 1 z)
(*.f64 2 (/.f64 (/.f64 1 z) 2))
(/.f64 1 z)
(.f64 (.f64 y 4) (/.f64 1 (.f64 y (.f64 z 4))))
(/.f64 1 z)
(*.f64 (/.f64 y z) (/.f64 1 y))
(/.f64 1 z)
(*.f64 (/.f64 1 y) (/.f64 y z))
(/.f64 1 z)
(*.f64 (/.f64 (/.f64 1 z) y) y)
(/.f64 1 z)
(.f64 (neg.f64 y) (/.f64 -1 (.f64 y z)))
(/.f64 1 z)
(.f64 (neg.f64 y) (/.f64 1 (.f64 (neg.f64 y) z)))
(/.f64 1 z)
(.f64 -1 (/.f64 (neg.f64 y) (.f64 y z)))
(/.f64 1 z)
(.f64 -1 (/.f64 y (.f64 (neg.f64 y) z)))
(/.f64 1 z)
(*.f64 (/.f64 2 z) 1/2)
(*.f64 1/2 (/.f64 2 z))
(*.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y))
(/.f64 1 z)
(*.f64 1/2 (/.f64 2 z))
(.f64 (.f64 (/.f64 (/.f64 1 z) y) 1/2) (+.f64 y y))
(/.f64 1 z)
(.f64 (/.f64 (neg.f64 y) (.f64 y z)) -1)
(/.f64 1 z)
(.f64 (/.f64 y (.f64 (neg.f64 y) z)) -1)
(/.f64 1 z)
(*.f64 (/.f64 (/.f64 y z) (neg.f64 y)) -1)
(/.f64 1 z)
(.f64 (/.f64 y (.f64 y (+.f64 z z))) 2)
(/.f64 1 z)
(*.f64 (/.f64 (/.f64 1 z) 2) 2)
(/.f64 1 z)
(.f64 (/.f64 1 (.f64 y (.f64 z 4))) (.f64 y 4))
(/.f64 1 z)
(.f64 (/.f64 -1 (.f64 y z)) (neg.f64 y))
(/.f64 1 z)
(.f64 (/.f64 1 (.f64 (neg.f64 y) z)) (neg.f64 y))
(/.f64 1 z)
(pow.f64 (/.f64 1 z) 1)
(/.f64 1 z)
(neg.f64 (/.f64 (neg.f64 y) (*.f64 y z)))
(/.f64 1 z)
(neg.f64 (/.f64 y (*.f64 (neg.f64 y) z)))
(/.f64 1 z)
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 y)))
(/.f64 1 z)
(+.f64 (/.f64 x z) 0)
(/.f64 x z)
(+.f64 0 (/.f64 x z))
(/.f64 x z)
(+.f64 (/.f64 (/.f64 x z) 2) (/.f64 (/.f64 x z) 2))
(/.f64 x z)
(-.f64 (/.f64 x z) 0)
(/.f64 x z)
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 x z)
(/.f64 (/.f64 1 z) (/.f64 1 x))
(/.f64 x z)
(/.f64 x z)
(/.f64 (/.f64 x z) 1)
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(/.f64 x z)
(/.f64 (+.f64 y y) (/.f64 (*.f64 y (+.f64 z z)) x))
(/.f64 x z)
(/.f64 (+.f64 y y) (.f64 2 (/.f64 (.f64 y z) x)))
(/.f64 x z)
(/.f64 2 (/.f64 (+.f64 z z) x))
(/.f64 x z)
(/.f64 2 (*.f64 2 (/.f64 z x)))
(/.f64 x z)
(/.f64 (/.f64 (+.f64 x x) z) 2)
(/.f64 x z)
(/.f64 (.f64 y 4) (.f64 2 (/.f64 (*.f64 y (+.f64 z z)) x)))
(/.f64 x z)
(/.f64 (+.f64 x x) (+.f64 z z))
(/.f64 x z)
(/.f64 (/.f64 y z) (/.f64 y x))
(/.f64 x z)
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))
(/.f64 x z)
(/.f64 (neg.f64 y) (/.f64 (*.f64 y z) (neg.f64 x)))
(/.f64 x z)
(/.f64 -1 (/.f64 (neg.f64 z) x))
(/.f64 x z)
(/.f64 4 (/.f64 (*.f64 z 4) x))
(/.f64 x z)
(/.f64 4 (*.f64 2 (/.f64 (+.f64 z z) x)))
(/.f64 x z)
(/.f64 (.f64 y -2) (.f64 2 (/.f64 (*.f64 y z) (neg.f64 x))))
(/.f64 x z)
(/.f64 (.f64 (/.f64 1 z) 4) (.f64 2 (/.f64 2 x)))
(/.f64 x z)
(/.f64 -2 (*.f64 2 (/.f64 (neg.f64 z) x)))
(/.f64 x z)
(/.f64 (*.f64 (/.f64 x z) 4) 4)
(/.f64 x z)
(/.f64 (.f64 x 4) (.f64 z 4))
(/.f64 x z)
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
(/.f64 x z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 x z)
(/.f64 (/.f64 2 z) (*.f64 2 (/.f64 1 x)))
(/.f64 x z)
(/.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))
(/.f64 x z)
(/.f64 (.f64 y (/.f64 2 z)) (.f64 2 (/.f64 y x)))
(/.f64 x z)
(/.f64 (/.f64 y (neg.f64 z)) (/.f64 (neg.f64 y) x))
(/.f64 x z)
(/.f64 8 (.f64 2 (/.f64 (.f64 z 4) x)))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 (/.f64 x z) 4)) 8)
(/.f64 x z)
(/.f64 (.f64 (/.f64 y z) -2) (.f64 2 (/.f64 (neg.f64 y) x)))
(/.f64 x z)
(/.f64 (.f64 2 (/.f64 1 y)) (.f64 2 (/.f64 (/.f64 z y) x)))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 z 4)))
(/.f64 x z)
(/.f64 (.f64 2 (/.f64 x (.f64 y z))) (*.f64 2 (/.f64 1 y)))
(/.f64 x z)
(/.f64 (/.f64 (*.f64 x 4) z) 4)
(/.f64 x z)
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 y (/.f64 2 z))) (*.f64 2 (/.f64 (+.f64 y y) x)))
(/.f64 x z)
(/.f64 (/.f64 x 2) (*.f64 z 1/2))
(/.f64 x z)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 x z) 4))) 16)
(/.f64 x z)
(/.f64 (.f64 2 (/.f64 (.f64 x 4) z)) 8)
(/.f64 x z)
(/.f64 (.f64 2 (/.f64 x y)) (.f64 2 (/.f64 z y)))
(/.f64 x z)
(/.f64 (.f64 2 (neg.f64 x)) (.f64 2 (neg.f64 z)))
(/.f64 x z)
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 z z)))
(/.f64 x z)
(/.f64 (neg.f64 (/.f64 x (*.f64 y z))) (neg.f64 (/.f64 1 y)))
(/.f64 x z)
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 z y)))
(/.f64 x z)
(/.f64 (neg.f64 (neg.f64 x)) z)
(/.f64 x z)
(pow.f64 (/.f64 x z) 1)
(/.f64 x z)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.4b	(*.f64 (sin.f64 y) (/.f64 x z))
✓	7.4b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)

Compiler

Compiled 25 to 7 computations (72% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite622.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2112×	`rational.json-1`
2112×	`rational.json-2`
1660×	`rational.json-simplify-35`
988×	`exponential.json-3`
988×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	75	40
2	221	40
3	651	40
4	2577	40
5	7305	40

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (*.f64 x (/.f64 2 z))) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (*.f64 x (/.f64 2 z))) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (/.f64 1 z) (+.f64 y y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 x z) (/.f64 1/2 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 x z) 1/2) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) (*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) (*.f64 1/2 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 x z) (/.f64 2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 x z) 4)) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 (sin.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 x (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sin.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (/.f64 2 y)) (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 y (sin.f64 y))) (*.f64 (/.f64 x z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 x (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) (*.f64 x (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (/.f64 x z) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) 1/2) (/.f64 2 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) (*.f64 (/.f64 x z) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 z)) (*.f64 (/.f64 x (+.f64 y y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 z)) (*.f64 (/.f64 x 2) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) (*.f64 x (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) 1/2)) (*.f64 x (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 y) (*.f64 (/.f64 x z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (*.f64 (sin.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (*.f64 (sin.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (*.f64 x (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (/.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) (/.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (neg.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 z x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 x (/.f64 2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (+.f64 z z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 (/.f64 z (sin.f64 y)) (/.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 z (/.f64 2 x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 z x) (sin.f64 y)) (/.f64 (/.f64 z x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 z)) (/.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 z)) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (+.f64 (/.f64 (+.f64 z z) (sin.f64 y)) (/.f64 (+.f64 z z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) (*.f64 z (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 x z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (/.f64 z x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 z (/.f64 2 x)) (sin.f64 y)) (/.f64 (*.f64 z (/.f64 2 x)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) (*.f64 2 (*.f64 z (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 z x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 4) (+.f64 (/.f64 2 (sin.f64 y)) (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (+.f64 (/.f64 z (neg.f64 (sin.f64 y))) (/.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 z (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (/.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (*.f64 z (/.f64 2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 x z)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x z)) (-.f64 0 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) (+.f64 (neg.f64 (/.f64 z x)) (neg.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) (-.f64 0 (*.f64 z (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)) (+.f64 (*.f64 (/.f64 z x) 4) (*.f64 (/.f64 z x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (sin.f64 y) z)) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 y) z)) (-.f64 0 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z))))))))

simplify498.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1326×	`rational.json-simplify-35`
1050×	`rational.json-simplify-53`
1038×	`rational.json-simplify-2`
928×	`rational.json-simplify-44`
824×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	4043
1	760	4031
2	1967	4013
3	5883	4013

Stop Event

1×	node limit

Counts

179 → 153

Calls

Call 1

Inputs
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (*.f64 y x) z)
(+.f64 (/.f64 (.f64 y x) z) (.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)))
(+.f64 (/.f64 (.f64 y x) z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 3) x) z)) (.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z))))
(+.f64 (/.f64 (.f64 y x) z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 3) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) x) z)) (.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 7) x) z)))))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(+.f64 (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) 0)
(+.f64 0 (.f64 (sin.f64 y) (/.f64 x (.f64 y z))))
(-.f64 (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) 0)
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) (/.f64 x z)) (/.f64 1 y))
(.f64 (.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 1)
(.f64 1 (.f64 (sin.f64 y) (/.f64 x (*.f64 y z))))
(.f64 (.f64 (sin.f64 y) (*.f64 x (/.f64 2 z))) (/.f64 1/2 y))
(.f64 (.f64 (sin.f64 y) (.f64 x (/.f64 2 z))) (.f64 (/.f64 1 y) 1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 z) (+.f64 y y)) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(.f64 2 (/.f64 (.f64 (sin.f64 y) (/.f64 x z)) (+.f64 y y)))
(.f64 2 (/.f64 (.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 2))
(.f64 2 (.f64 (*.f64 (sin.f64 y) (/.f64 1/2 y)) (/.f64 x z)))
(.f64 2 (.f64 (*.f64 (/.f64 x z) (/.f64 1/2 y)) (sin.f64 y)))
(.f64 2 (.f64 (*.f64 (/.f64 x z) 1/2) (/.f64 (sin.f64 y) y)))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 (sin.f64 y) (/.f64 x z))))
(.f64 (.f64 x (/.f64 2 z)) (*.f64 (sin.f64 y) (/.f64 1/2 y)))
(.f64 (.f64 x (/.f64 2 z)) (.f64 (/.f64 1 y) (.f64 (sin.f64 y) 1/2)))
(.f64 (.f64 x (/.f64 2 z)) (*.f64 1/2 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) (/.f64 1/2 y)))
(.f64 (.f64 (sin.f64 y) (*.f64 (/.f64 x z) (/.f64 2 y))) 1/2)
(.f64 (.f64 (sin.f64 y) (.f64 (/.f64 x z) 4)) (/.f64 1 (.f64 y 4)))
(.f64 (/.f64 1 z) (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 (/.f64 1 z) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) (/.f64 x z)))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (neg.f64 (/.f64 x z))) (/.f64 -1 y))
(.f64 -1 (/.f64 (.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(.f64 (.f64 (/.f64 x z) (/.f64 2 y)) (*.f64 (sin.f64 y) 1/2))
(.f64 (/.f64 2 (/.f64 y (sin.f64 y))) (.f64 (/.f64 x z) 1/2))
(.f64 (.f64 (sin.f64 y) (/.f64 1/2 y)) (*.f64 x (/.f64 2 z)))
(.f64 (.f64 (/.f64 x z) (/.f64 1/2 y)) (*.f64 (sin.f64 y) 2))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (*.f64 x (/.f64 2 z))))
(.f64 (.f64 (sin.f64 y) 1/2) (*.f64 (/.f64 x z) (/.f64 2 y)))
(.f64 (.f64 (/.f64 x z) 1/2) (/.f64 2 (/.f64 y (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (*.f64 (/.f64 x z) (/.f64 2 y))))
(*.f64 (/.f64 1/2 z) (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y))))
(.f64 (.f64 2 (/.f64 1 z)) (*.f64 (/.f64 x (+.f64 y y)) (sin.f64 y)))
(.f64 (.f64 2 (/.f64 1 z)) (*.f64 (/.f64 x 2) (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) (/.f64 1 z))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 1/2 z)) (+.f64 x x))
(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
(.f64 (.f64 (/.f64 1 y) 1/2) (.f64 (sin.f64 y) (.f64 x (/.f64 2 z))))
(.f64 (.f64 (/.f64 1 y) (.f64 (sin.f64 y) 1/2)) (.f64 x (/.f64 2 z)))
(*.f64 (/.f64 (+.f64 x x) (/.f64 y (sin.f64 y))) (/.f64 1/2 z))
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 y)) -1)
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 x z)) (+.f64 y y)) 2)
(.f64 (/.f64 -1 y) (.f64 (sin.f64 y) (neg.f64 (/.f64 x z))))
(.f64 (/.f64 (.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 2) 2)
(.f64 (/.f64 1 (.f64 y 4)) (.f64 (sin.f64 y) (.f64 (/.f64 x z) 4)))
(.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (.f64 (sin.f64 y) (/.f64 x z)))
(.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (.f64 x (/.f64 (sin.f64 y) y)))
(pow.f64 (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) 1)
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x z)) 0)
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x z)))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z)))))
(-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) 0)
(-.f64 0 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z))))
(/.f64 (sin.f64 y) (/.f64 z x))
(/.f64 (sin.f64 y) (/.f64 (neg.f64 (/.f64 z x)) -1))
(/.f64 x (/.f64 z (sin.f64 y)))
(/.f64 (/.f64 x z) (/.f64 1 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) 1)
(/.f64 1 (/.f64 (/.f64 z x) (sin.f64 y)))
(/.f64 (.f64 (sin.f64 y) (.f64 x (/.f64 2 z))) 2)
(/.f64 (+.f64 x x) (/.f64 (+.f64 z z) (sin.f64 y)))
(/.f64 (+.f64 x x) (+.f64 (/.f64 z (sin.f64 y)) (/.f64 z (sin.f64 y))))
(/.f64 2 (/.f64 (*.f64 z (/.f64 2 x)) (sin.f64 y)))
(/.f64 2 (+.f64 (/.f64 (/.f64 z x) (sin.f64 y)) (/.f64 (/.f64 z x) (sin.f64 y))))
(/.f64 (*.f64 x (/.f64 2 z)) (/.f64 2 (sin.f64 y)))
(/.f64 (*.f64 x (/.f64 2 z)) (+.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 x 4) (+.f64 (/.f64 (+.f64 z z) (sin.f64 y)) (/.f64 (+.f64 z z) (sin.f64 y))))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 z (/.f64 2 x)))
(/.f64 (.f64 (sin.f64 y) (.f64 (/.f64 x z) 4)) 4)
(/.f64 (neg.f64 x) (/.f64 z (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 z x)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z))) -1)
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 z x) (sin.f64 y))))
(/.f64 4 (+.f64 (/.f64 (.f64 z (/.f64 2 x)) (sin.f64 y)) (/.f64 (.f64 z (/.f64 2 x)) (sin.f64 y))))
(/.f64 (.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 x z) 4)) 8)
(/.f64 (.f64 (sin.f64 y) 4) (.f64 2 (*.f64 z (/.f64 2 x))))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (/.f64 z x) 4))
(/.f64 (*.f64 (/.f64 x z) 4) (+.f64 (/.f64 2 (sin.f64 y)) (/.f64 2 (sin.f64 y))))
(/.f64 (*.f64 x -2) (+.f64 (/.f64 z (neg.f64 (sin.f64 y))) (/.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 1 x))
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 z (+.f64 x x)))
(/.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 (/.f64 z x) 2))
(/.f64 (.f64 (sin.f64 y) 1/2) (/.f64 (.f64 z (/.f64 2 x)) 4))
(/.f64 (.f64 (.f64 (sin.f64 y) (/.f64 x z)) -2) -2)
(/.f64 (neg.f64 (/.f64 x z)) (-.f64 0 (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) -2) (+.f64 (neg.f64 (/.f64 z x)) (neg.f64 (/.f64 z x))))
(/.f64 (.f64 (sin.f64 y) -2) (-.f64 0 (.f64 z (/.f64 2 x))))
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) (+.f64 (.f64 (/.f64 z x) 4) (.f64 (/.f64 z x) 4)))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 y) 2) (.f64 (/.f64 x z) 4))) 16)
(/.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (sin.f64 y) z)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) z)) (-.f64 0 (/.f64 1 x)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) 1)
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z))))

Outputs
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (/.f64 x z) (.f64 -1/6 (.f64 x (/.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 x z) (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6)))
(+.f64 (/.f64 x z) (.f64 x (.f64 -1/6 (/.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (+.f64 (/.f64 x z) (.f64 -1/6 (.f64 x (/.f64 (pow.f64 y 2) z)))) (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z))))
(+.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120)) (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6))))
(+.f64 (+.f64 (/.f64 x z) (.f64 x (.f64 -1/6 (/.f64 (pow.f64 y 2) z)))) (.f64 x (.f64 1/120 (/.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(+.f64 (+.f64 (+.f64 (/.f64 x z) (.f64 -1/6 (.f64 x (/.f64 (pow.f64 y 2) z)))) (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)))) (.f64 -1/5040 (/.f64 (.f64 x (pow.f64 y 6)) z)))
(+.f64 (+.f64 (/.f64 x z) (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6))) (+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 6) z) -1/5040)) (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120))))
(+.f64 (.f64 x (.f64 1/120 (/.f64 (pow.f64 y 4) z))) (+.f64 (.f64 x (.f64 -1/6 (/.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 x z) (.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6))))))
(+.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (+.f64 (.f64 x (.f64 -1/6 (/.f64 (pow.f64 y 2) z))) (.f64 x (.f64 1/120 (/.f64 (pow.f64 y 4) z))))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(+.f64 (/.f64 (.f64 y x) z) (.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)))
(+.f64 (.f64 x (/.f64 y z)) (.f64 -1/6 (/.f64 (*.f64 x (pow.f64 y 3)) z)))
(+.f64 (.f64 x (/.f64 y z)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (/.f64 x z))))
(.f64 x (+.f64 (/.f64 y z) (.f64 -1/6 (/.f64 (pow.f64 y 3) z))))
(+.f64 (/.f64 (.f64 y x) z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 3) x) z)) (.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z))))
(+.f64 (.f64 x (/.f64 y z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 3)) z)) (.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 5)) z))))
(+.f64 (.f64 x (/.f64 y z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (/.f64 x z))) (.f64 1/120 (*.f64 (pow.f64 y 5) (/.f64 x z)))))
(+.f64 (.f64 -1/6 (.f64 x (/.f64 (pow.f64 y 3) z))) (.f64 x (+.f64 (/.f64 y z) (.f64 1/120 (/.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 (/.f64 (pow.f64 y 3) z) (.f64 -1/6 x)) (.f64 x (+.f64 (/.f64 y z) (.f64 1/120 (/.f64 (pow.f64 y 5) z)))))
(+.f64 (/.f64 (.f64 y x) z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 3) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) x) z)) (.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 7) x) z)))))
(+.f64 (.f64 x (/.f64 y z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 3)) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 x (pow.f64 y 5)) z)) (.f64 -1/5040 (/.f64 (*.f64 x (pow.f64 y 7)) z)))))
(+.f64 (.f64 x (/.f64 y z)) (+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 7) z) -1/5040)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (/.f64 x z))) (.f64 1/120 (*.f64 (pow.f64 y 5) (/.f64 x z))))))
(+.f64 (+.f64 (.f64 -1/6 (.f64 x (/.f64 (pow.f64 y 3) z))) (.f64 x (.f64 -1/5040 (/.f64 (pow.f64 y 7) z)))) (.f64 x (+.f64 (/.f64 y z) (.f64 1/120 (/.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 (/.f64 (pow.f64 y 3) z) (.f64 -1/6 x)) (+.f64 (.f64 x (.f64 -1/5040 (/.f64 (pow.f64 y 7) z))) (.f64 x (+.f64 (/.f64 y z) (.f64 1/120 (/.f64 (pow.f64 y 5) z))))))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
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(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) z)
(/.f64 (*.f64 x (sin.f64 y)) z)
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(*.f64 (/.f64 x z) (sin.f64 y))
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(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
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(*.f64 (/.f64 x z) (sin.f64 y))
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(*.f64 (/.f64 x z) (sin.f64 y))
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(*.f64 (/.f64 x z) (sin.f64 y))
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(*.f64 (/.f64 x z) (sin.f64 y))
(+.f64 (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) 0)
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
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(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
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(.f64 (.f64 (sin.f64 y) (/.f64 x z)) (/.f64 1 y))
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 1)
(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
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(/.f64 (.f64 x (sin.f64 y)) (.f64 z y))
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(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (.f64 (sin.f64 y) 1/2) (/.f64 (.f64 z (/.f64 2 x)) 4))
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (/.f64 x z)) -2) -2)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (neg.f64 (/.f64 x z)) (-.f64 0 (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) -2) (+.f64 (neg.f64 (/.f64 z x)) (neg.f64 (/.f64 z x))))
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (.f64 (sin.f64 y) -2) (-.f64 0 (.f64 z (/.f64 2 x))))
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) (+.f64 (.f64 (/.f64 z x) 4) (.f64 (/.f64 z x) 4)))
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 y) 2) (.f64 (/.f64 x z) 4))) 16)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (sin.f64 y) z)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) z)) (-.f64 0 (/.f64 1 x)))
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) 1)
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x z))))
(/.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (sin.f64 y))

eval613.0ms (3.5%)

Compiler: Compiled 8046 to 3942 computations (51% saved)

prune978.0ms (5.6%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	635	19	654
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	635	27	662

Error

Counts

662 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
	37.1b	(/.f64 (/.f64 (*.f64 y x) z) y)
▶	9.3b	(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
	38.8b	(/.f64 (/.f64 z (.f64 (.f64 x 1/2) z)) (*.f64 (/.f64 z x) (/.f64 2 x)))
	46.6b	(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 z x) (/.f64 2 x))))
	46.3b	(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
	33.2b	(/.f64 (/.f64 y z) (/.f64 y x))
	31.6b	(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
	33.5b	(/.f64 (/.f64 x y) (/.f64 z y))
▶	29.1b	(/.f64 (/.f64 2 z) (/.f64 2 x))
	36.3b	(/.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))
✓	7.8b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
	33.0b	(/.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))
	30.9b	(/.f64 y (/.f64 (*.f64 y z) x))
	36.1b	(/.f64 x (/.f64 (*.f64 z z) z))
✓	2.2b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
✓	29.0b	(/.f64 x z)
▶	29.1b	(/.f64 1 (/.f64 z x))
	29.2b	(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
▶	35.2b	(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
✓	2.6b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
✓	8.1b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	32.5b	(.f64 x (/.f64 y (.f64 y z)))
✓	29.1b	(*.f64 x (/.f64 1 z))
	35.5b	(*.f64 x (+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y)))))
▶	33.2b	(.f64 x (.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y)))
	32.8b	(*.f64 x (neg.f64 (/.f64 (/.f64 y z) (neg.f64 y))))

Compiler

Compiled 554 to 366 computations (33.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 (sin.f64 y) z)
✓	9.2b	(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series6.0ms (0%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/.f64 (sin.f64 y) z)
0.0ms	z	@	-inf	(/.f64 (sin.f64 y) z)
0.0ms	z	@	0	(/.f64 (sin.f64 y) z)
0.0ms	y	@	inf	(/.f64 (sin.f64 y) z)
0.0ms	y	@	-inf	(/.f64 (sin.f64 y) z)

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`exponential.json-3`
1392×	`rational.json-1`
1392×	`rational.json-2`
1392×	`rational.json-4`
1392×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	81	34
2	291	34
3	1170	34
4	4210	34

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

Inputs
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
(/.f64 (sin.f64 y) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 z)) (*.f64 (/.f64 (/.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 z)) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 z)) (*.f64 (/.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (/.f64 (/.f64 x y) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 (/.f64 x y) (+.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 1/2 (/.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 (/.f64 x y) 2) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 1/2 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 (/.f64 1 z) (+.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 y) z) (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (+.f64 y y) (/.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 y) (*.f64 y (*.f64 z (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 x y) 2) (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 x y) (+.f64 z z)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 z) (*.f64 (sin.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 z (/.f64 (*.f64 y 4) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 (*.f64 y (/.f64 z x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) z) 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (*.f64 x (/.f64 2 y))) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y x) (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 (sin.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (*.f64 (/.f64 y x) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (*.f64 z (neg.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (neg.f64 y) (/.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (*.f64 y (/.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 1 (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x y))) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 1 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 1 (*.f64 z (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (*.f64 (/.f64 y x) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (*.f64 z (neg.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (neg.f64 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 z)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 z)) (*.f64 (*.f64 1/2 (/.f64 (sin.f64 y) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (/.f64 (sin.f64 y) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (/.f64 (sin.f64 y) z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 (sin.f64 y) 2) (*.f64 z (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 (+.f64 x x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 2) (*.f64 (sin.f64 y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (/.f64 (sin.f64 y) (*.f64 z (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (+.f64 z z)) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (*.f64 (sin.f64 y) (*.f64 x (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y)))) (*.f64 (/.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (*.f64 (sin.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y)))) (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 x y) (+.f64 z z)) (/.f64 (/.f64 x y) (+.f64 z z))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 y) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 y) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) 1)))) (#(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) (/.f64 2 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 1/2 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) (*.f64 1/2 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 y) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) z) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 z)) (/.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 z)))))))

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational.json-simplify-35`
1066×	`rational.json-simplify-43`
1038×	`rational.json-simplify-44`
1004×	`rational.json-simplify-53`
1000×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	287	3373
1	721	3361
2	1760	3361
3	6019	3361

Stop Event

1×	node limit

Counts

147 → 151

Calls

Call 1

Inputs
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 7) z)) (+.f64 (.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))))
(+.f64 (.f64 x (/.f64 (sin.f64 y) (.f64 y z))) 0)
(+.f64 0 (.f64 x (/.f64 (sin.f64 y) (.f64 y z))))
(-.f64 (.f64 x (/.f64 (sin.f64 y) (.f64 y z))) 0)
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(.f64 (.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) 1)
(.f64 1 (.f64 x (/.f64 (sin.f64 y) (*.f64 y z))))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 y (/.f64 z (sin.f64 y)))))
(.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) z) (/.f64 1/2 y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y)))) 1))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 1 z)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 (/.f64 x y) 2))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (*.f64 (/.f64 (/.f64 x y) 2) 1))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (*.f64 1/2 (/.f64 x y)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (*.f64 (/.f64 1/2 y) x))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 (/.f64 x y) (+.f64 z z)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 (/.f64 x y) (+.f64 z z)) 1))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 1/2 (/.f64 (/.f64 x y) z)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 (/.f64 x y) 2) (/.f64 1 z)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1/2 z) (/.f64 x y)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 (/.f64 1 z) (+.f64 y y)) x))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) (/.f64 1 z))
(.f64 2 (/.f64 (/.f64 (sin.f64 y) z) (.f64 y (/.f64 2 x))))
(.f64 2 (/.f64 x (.f64 (+.f64 y y) (/.f64 z (sin.f64 y)))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 y (*.f64 z (/.f64 2 x)))))
(.f64 2 (/.f64 (.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) 2))
(.f64 2 (.f64 (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y)))) x))
(.f64 2 (.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 1/2 y)) x))
(.f64 2 (.f64 (/.f64 (/.f64 x y) 2) (/.f64 (sin.f64 y) z)))
(.f64 2 (.f64 (/.f64 (/.f64 x y) (+.f64 z z)) (sin.f64 y)))
(.f64 2 (.f64 (/.f64 1/2 z) (*.f64 (sin.f64 y) (/.f64 x y))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 z (/.f64 (.f64 y 4) (sin.f64 y)))))
(.f64 (.f64 (sin.f64 y) (/.f64 2 (*.f64 y (/.f64 z x)))) 1/2)
(.f64 (.f64 (/.f64 (sin.f64 y) z) 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))
(.f64 (.f64 (sin.f64 y) (*.f64 x (/.f64 2 y))) (/.f64 1/2 z))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 (/.f64 y x) (.f64 z 4))))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(.f64 (/.f64 1 z) (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 (/.f64 y x) (neg.f64 z))))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 z (neg.f64 (/.f64 y x)))))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (.f64 y (/.f64 z x)))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (neg.f64 y) (/.f64 z (sin.f64 y)))))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (.f64 y (/.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 1 (neg.f64 (/.f64 y x))))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 1 (/.f64 (neg.f64 y) x)))
(.f64 (.f64 (sin.f64 y) (neg.f64 (/.f64 x y))) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 1 z) (/.f64 1 x)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 z x)))
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) x)
(.f64 (/.f64 (sin.f64 y) (.f64 y z)) (/.f64 1 (/.f64 1 x)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 1 (*.f64 z (/.f64 2 x))))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) (neg.f64 z))))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 z (neg.f64 (/.f64 y x)))))
(.f64 -1 (/.f64 (sin.f64 y) (neg.f64 (.f64 y (/.f64 z x)))))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 (/.f64 y x))))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 y) x)))
(.f64 -1 (/.f64 (.f64 (sin.f64 y) (/.f64 x y)) (neg.f64 z)))
(.f64 (.f64 2 (/.f64 1 z)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 x))))
(.f64 (.f64 2 (/.f64 1 z)) (.f64 (.f64 1/2 (/.f64 (sin.f64 y) y)) x))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 (/.f64 1 y) (/.f64 (/.f64 (sin.f64 y) z) (/.f64 1 x)))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 z (sin.f64 y))))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 z x)))
(.f64 (/.f64 1 y) (/.f64 (.f64 (sin.f64 y) 2) (*.f64 z (/.f64 2 x))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 (*.f64 y (/.f64 z x)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 (+.f64 x x) z))
(.f64 (/.f64 (/.f64 x y) 2) (.f64 (sin.f64 y) (/.f64 2 z)))
(.f64 (/.f64 2 y) (/.f64 (sin.f64 y) (.f64 z (/.f64 2 x))))
(.f64 (/.f64 1/2 (.f64 y (/.f64 z (sin.f64 y)))) (+.f64 x x))
(.f64 (/.f64 (/.f64 x y) (+.f64 z z)) (.f64 (sin.f64 y) 2))
(.f64 (/.f64 1/2 z) (.f64 (sin.f64 y) (*.f64 x (/.f64 2 y))))
(.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y)))) (.f64 (/.f64 1 z) x))
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (/.f64 (sin.f64 y) z))
(.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 (+.f64 (/.f64 1/2 (.f64 y (/.f64 z (sin.f64 y)))) (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y))))) x)
(*.f64 (+.f64 (/.f64 (/.f64 x y) (+.f64 z z)) (/.f64 (/.f64 x y) (+.f64 z z))) (sin.f64 y))
(pow.f64 (.f64 x (/.f64 (sin.f64 y) (.f64 y z))) 1)
(+.f64 (/.f64 (sin.f64 y) z) 0)
(+.f64 0 (/.f64 (sin.f64 y) z))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))))
(-.f64 (/.f64 (sin.f64 y) z) 0)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (sin.f64 y) (/.f64 1 z))
(*.f64 (/.f64 (sin.f64 y) z) 1)
(*.f64 1 (/.f64 (sin.f64 y) z))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) 1/2)
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 z))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1/2 z) 1))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 1/2 (/.f64 1 z)))
(*.f64 2 (/.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) z) 2))
(.f64 2 (.f64 (/.f64 1/2 z) (sin.f64 y)))
(.f64 (.f64 (/.f64 (sin.f64 y) z) 4) 1/4)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 z 4)))
(*.f64 (/.f64 1 z) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) -1)
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 z)))
(.f64 (.f64 2 (/.f64 1 z)) (/.f64 (sin.f64 y) 2))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 z)))
(.f64 (/.f64 1/2 z) (.f64 (sin.f64 y) 2))
(*.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) z) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 z)))

Outputs
(/.f64 x z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 2)) z)))
(+.f64 (/.f64 x z) (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6)))
(+.f64 (/.f64 x z) (.f64 x (.f64 -1/6 (/.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 2)) z))) (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z))))
(+.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120)) (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6))))
(+.f64 (.f64 x (.f64 -1/6 (/.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 x z) (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z)))))
(+.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 -1/6 (/.f64 (pow.f64 y 2) z))) (.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 y 6) x) z)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 4) x) z)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(+.f64 (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z))) (+.f64 (+.f64 (/.f64 x z) (.f64 -1/6 (/.f64 (.f64 x (pow.f64 y 2)) z))) (.f64 -1/5040 (.f64 x (/.f64 (pow.f64 y 6) z)))))
(+.f64 (.f64 x (.f64 (/.f64 (pow.f64 y 4) z) 1/120)) (+.f64 (+.f64 (/.f64 x z) (.f64 x (.f64 (/.f64 (pow.f64 y 2) z) -1/6))) (.f64 x (.f64 (/.f64 (pow.f64 y 6) z) -1/5040))))
(+.f64 (+.f64 (/.f64 x z) (.f64 x (.f64 -1/6 (/.f64 (pow.f64 y 2) z)))) (+.f64 (.f64 1/120 (.f64 x (/.f64 (pow.f64 y 4) z))) (.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6)))))
(+.f64 (.f64 x (.f64 -1/6 (/.f64 (pow.f64 y 2) z))) (+.f64 (+.f64 (/.f64 x z) (.f64 -1/5040 (.f64 (/.f64 x z) (pow.f64 y 6)))) (.f64 1/120 (.f64 (/.f64 x z) (pow.f64 y 4)))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (.f64 2 (/.f64 1 z)) (/.f64 (sin.f64 y) (*.f64 y (/.f64 2 x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (.f64 2 (/.f64 1 z)) (.f64 (.f64 1/2 (/.f64 (sin.f64 y) y)) x))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 (sin.f64 y) (+.f64 z z)))
(.f64 (/.f64 1/2 z) (.f64 (sin.f64 y) (*.f64 x (/.f64 2 y))))
(.f64 x (.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 1/2 z)))
(.f64 x (.f64 (/.f64 1/2 z) (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 (sin.f64 y) (.f64 (/.f64 2 y) (*.f64 x (/.f64 1/2 z))))
(*.f64 (/.f64 1 y) (/.f64 (/.f64 (sin.f64 y) z) (/.f64 1 x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 z (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 z x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (/.f64 1 y) (/.f64 (.f64 (sin.f64 y) 2) (*.f64 z (/.f64 2 x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 (*.f64 y (/.f64 z x)))))
(.f64 (sin.f64 y) (.f64 (/.f64 2 (*.f64 y (/.f64 z x))) 1/2))
(.f64 (/.f64 (/.f64 2 y) (/.f64 z x)) (.f64 1/2 (sin.f64 y)))
(.f64 (/.f64 2 (/.f64 y (/.f64 x z))) (.f64 (sin.f64 y) 1/2))
(.f64 (/.f64 x (/.f64 y (/.f64 2 z))) (.f64 (sin.f64 y) 1/2))
(*.f64 (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 (+.f64 x x) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (/.f64 (/.f64 x y) 2) (.f64 (sin.f64 y) (/.f64 2 z)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (/.f64 2 y) (/.f64 (sin.f64 y) (.f64 z (/.f64 2 x))))
(.f64 (/.f64 1/2 z) (.f64 (sin.f64 y) (*.f64 x (/.f64 2 y))))
(.f64 x (.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 1/2 z)))
(.f64 x (.f64 (/.f64 1/2 z) (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 (sin.f64 y) (.f64 (/.f64 2 y) (*.f64 x (/.f64 1/2 z))))
(.f64 (/.f64 1/2 (.f64 y (/.f64 z (sin.f64 y)))) (+.f64 x x))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (/.f64 (/.f64 x y) (+.f64 z z)) (.f64 (sin.f64 y) 2))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (/.f64 1/2 z) (.f64 (sin.f64 y) (*.f64 x (/.f64 2 y))))
(.f64 x (.f64 (*.f64 (sin.f64 y) (/.f64 2 y)) (/.f64 1/2 z)))
(.f64 x (.f64 (/.f64 1/2 z) (*.f64 (sin.f64 y) (/.f64 2 y))))
(.f64 (sin.f64 y) (.f64 (/.f64 2 y) (*.f64 x (/.f64 1/2 z))))
(.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))) (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y)))) (.f64 (/.f64 1 z) x))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (/.f64 (sin.f64 y) z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(.f64 (+.f64 (/.f64 1/2 (.f64 y (/.f64 z (sin.f64 y)))) (/.f64 1/2 (*.f64 y (/.f64 z (sin.f64 y))))) x)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(*.f64 (+.f64 (/.f64 (/.f64 x y) (+.f64 z z)) (/.f64 (/.f64 x y) (+.f64 z z))) (sin.f64 y))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(pow.f64 (.f64 x (/.f64 (sin.f64 y) (.f64 y z))) 1)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(+.f64 (/.f64 (sin.f64 y) z) 0)
(/.f64 (sin.f64 y) z)
(+.f64 0 (/.f64 (sin.f64 y) z))
(/.f64 (sin.f64 y) z)
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (sin.f64 y) z)
(-.f64 (/.f64 (sin.f64 y) z) 0)
(/.f64 (sin.f64 y) z)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) (/.f64 1 z))
(/.f64 (sin.f64 y) z)
(*.f64 (/.f64 (sin.f64 y) z) 1)
(/.f64 (sin.f64 y) z)
(*.f64 1 (/.f64 (sin.f64 y) z))
(/.f64 (sin.f64 y) z)
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) 1/2)
(/.f64 (sin.f64 y) z)
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 z))
(/.f64 (sin.f64 y) z)
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1/2 z) 1))
(/.f64 (sin.f64 y) z)
(.f64 (.f64 (sin.f64 y) 2) (*.f64 1/2 (/.f64 1 z)))
(/.f64 (sin.f64 y) z)
(*.f64 2 (/.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 (sin.f64 y) z)
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) z) 2))
(/.f64 (sin.f64 y) z)
(.f64 2 (.f64 (/.f64 1/2 z) (sin.f64 y)))
(/.f64 (sin.f64 y) z)
(.f64 (.f64 (/.f64 (sin.f64 y) z) 4) 1/4)
(/.f64 (sin.f64 y) z)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 z 4)))
(.f64 (.f64 4 (sin.f64 y)) (/.f64 1 (*.f64 z 4)))
(.f64 (sin.f64 y) (.f64 4 (/.f64 1/4 z)))
(*.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 (sin.f64 y) z)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 z)))
(/.f64 (sin.f64 y) z)
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) -1)
(/.f64 (sin.f64 y) z)
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 (sin.f64 y) z)
(.f64 (.f64 2 (/.f64 1 z)) (/.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) z)
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 z)))
(/.f64 (sin.f64 y) z)
(.f64 (/.f64 1/2 z) (.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) z)
(*.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (sin.f64 y))
(/.f64 (sin.f64 y) z)
(pow.f64 (/.f64 (sin.f64 y) z) 1)
(/.f64 (sin.f64 y) z)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 (sin.f64 y) z)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 z x))

Compiler

Compiled 14 to 7 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`rational.json-1`
1494×	`rational.json-2`
1494×	`rational.json-4`
1494×	`rational.json-3`
1486×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	61	7
2	171	7
3	412	7
4	1135	7
5	3900	7

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/2 (*.f64 2 (/.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z x) (*.f64 1/2 (/.f64 (/.f64 x z) (*.f64 z (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 z) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 2 x)) (*.f64 (*.f64 x (/.f64 (/.f64 x z) z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 (/.f64 1 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/2 (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1 z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/2 (/.f64 (/.f64 z z) (/.f64 (/.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 z) 4) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 z)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (/.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) 1/4) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (/.f64 x z) (*.f64 z (/.f64 1/2 x)))) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (/.f64 (/.f64 x z) z)) 1/2) (*.f64 z (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (/.f64 z z) (/.f64 (/.f64 z x) x))) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (/.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (/.f64 -1 x)) z))))))

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1868×	`rational.json-simplify-35`
1026×	`rational.json-simplify-57`
1016×	`rational.json-simplify-2`
590×	`rational.json-simplify-41`
434×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	945
1	252	921
2	630	909
3	2282	753
4	5541	753

Stop Event

1×	node limit

Counts

75 → 62

Calls

Call 1

Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 (/.f64 x z) 0)
(+.f64 0 (/.f64 x z))
(+.f64 -1 (-.f64 1 (/.f64 x (neg.f64 z))))
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(-.f64 (/.f64 x z) 0)
(-.f64 0 (/.f64 x (neg.f64 z)))
(*.f64 1 (/.f64 x z))
(*.f64 x (/.f64 1 z))
(.f64 x (.f64 1/2 (*.f64 2 (/.f64 1 z))))
(.f64 x (.f64 1/2 (/.f64 2 z)))
(.f64 (/.f64 z x) (.f64 1/2 (/.f64 (/.f64 x z) (*.f64 z (/.f64 1/2 x)))))
(*.f64 (/.f64 x z) 1)
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(.f64 (+.f64 x x) (.f64 (/.f64 1 z) 1/2))
(*.f64 2 (/.f64 x (+.f64 z z)))
(.f64 2 (.f64 (/.f64 x z) 1/2))
(.f64 2 (.f64 x (/.f64 1/2 z)))
(.f64 2 (.f64 (/.f64 1 z) (/.f64 x 2)))
(.f64 (.f64 z (/.f64 2 x)) (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2))
(.f64 (.f64 x 4) (/.f64 (/.f64 1 z) 4))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/2 z)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 z) 1/4))
(.f64 (.f64 x (/.f64 2 z)) 1/2)
(*.f64 (/.f64 1 z) x)
(*.f64 (/.f64 1 z) (/.f64 1 (/.f64 1 x)))
(*.f64 -1 (/.f64 x (neg.f64 z)))
(*.f64 (neg.f64 x) (/.f64 -1 z))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 1/2 (/.f64 (/.f64 z z) (/.f64 (/.f64 z x) x))))
(.f64 1/2 (.f64 x (/.f64 2 z)))
(*.f64 (/.f64 1/2 z) (+.f64 x x))
(.f64 (.f64 (/.f64 1 z) 1/2) (+.f64 x x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 z))
(*.f64 (/.f64 x (neg.f64 z)) -1)
(.f64 (/.f64 (/.f64 1 z) 4) (.f64 x 4))
(*.f64 (/.f64 x (+.f64 z z)) 2)
(*.f64 (/.f64 -1 z) (neg.f64 x))
(.f64 (.f64 (/.f64 x z) 1/2) 2)
(.f64 (.f64 1/2 (/.f64 1/2 z)) (*.f64 x 4))
(.f64 (.f64 x (/.f64 1/2 z)) 2)
(.f64 (.f64 (/.f64 1 z) (/.f64 x 2)) 2)
(.f64 (.f64 (/.f64 1 z) 1/4) (*.f64 x 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 z))) x)
(.f64 (.f64 1/2 (/.f64 2 z)) x)
(.f64 (.f64 1/2 (/.f64 (/.f64 x z) (*.f64 z (/.f64 1/2 x)))) (/.f64 z x))
(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
(.f64 (.f64 1/2 (/.f64 (/.f64 z z) (/.f64 (/.f64 z x) x))) (*.f64 2 (/.f64 1 x)))
(pow.f64 (/.f64 x z) 1)
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 1 (/.f64 z (neg.f64 x))))
(neg.f64 (/.f64 -1 (/.f64 z x)))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 x)) z))

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 (/.f64 x z) 0)
(/.f64 x z)
(+.f64 0 (/.f64 x z))
(/.f64 x z)
(+.f64 -1 (-.f64 1 (/.f64 x (neg.f64 z))))
(/.f64 x z)
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(-.f64 (/.f64 x z) 0)
(/.f64 x z)
(-.f64 0 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(*.f64 1 (/.f64 x z))
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 x z)
(.f64 x (.f64 1/2 (*.f64 2 (/.f64 1 z))))
(/.f64 x z)
(.f64 x (.f64 1/2 (/.f64 2 z)))
(.f64 1/2 (.f64 x (/.f64 2 z)))
(.f64 (/.f64 z x) (.f64 1/2 (/.f64 (/.f64 x z) (*.f64 z (/.f64 1/2 x)))))
(/.f64 x z)
(*.f64 (/.f64 x z) 1)
(/.f64 x z)
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 z) 1/2))
(/.f64 x z)
(*.f64 2 (/.f64 x (+.f64 z z)))
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(.f64 2 (.f64 (/.f64 x z) 1/2))
(/.f64 x z)
(.f64 2 (.f64 x (/.f64 1/2 z)))
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(.f64 2 (.f64 (/.f64 1 z) (/.f64 x 2)))
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(.f64 (.f64 z (/.f64 2 x)) (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2))
(/.f64 x z)
(.f64 (.f64 x 4) (/.f64 (/.f64 1 z) 4))
(.f64 x (.f64 4 (/.f64 1/4 z)))
(.f64 4 (.f64 (/.f64 1/4 z) x))
(.f64 4 (.f64 x (/.f64 1/4 z)))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/2 z)))
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 z) 1/4))
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 z)) 1/2)
(.f64 1/2 (.f64 x (/.f64 2 z)))
(.f64 x (.f64 1/2 (/.f64 2 z)))
(*.f64 (/.f64 1 z) x)
(/.f64 x z)
(*.f64 (/.f64 1 z) (/.f64 1 (/.f64 1 x)))
(/.f64 x z)
(*.f64 -1 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(*.f64 (neg.f64 x) (/.f64 -1 z))
(/.f64 x z)
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 1/2 (/.f64 (/.f64 z z) (/.f64 (/.f64 z x) x))))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 1/2 (/.f64 x (/.f64 (/.f64 z x) (/.f64 z z)))))
(.f64 1/2 (.f64 2 (*.f64 (/.f64 1 x) (/.f64 x (/.f64 z x)))))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(/.f64 (*.f64 x (/.f64 x z)) x)
(.f64 1/2 (.f64 x (/.f64 2 z)))
(.f64 x (.f64 1/2 (/.f64 2 z)))
(*.f64 (/.f64 1/2 z) (+.f64 x x))
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(.f64 (.f64 (/.f64 1 z) 1/2) (+.f64 x x))
(/.f64 x z)
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 z))
(/.f64 x z)
(*.f64 (/.f64 x (neg.f64 z)) -1)
(/.f64 x z)
(.f64 (/.f64 (/.f64 1 z) 4) (.f64 x 4))
(.f64 x (.f64 4 (/.f64 1/4 z)))
(.f64 4 (.f64 (/.f64 1/4 z) x))
(.f64 4 (.f64 x (/.f64 1/4 z)))
(*.f64 (/.f64 x (+.f64 z z)) 2)
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(*.f64 (/.f64 -1 z) (neg.f64 x))
(/.f64 x z)
(.f64 (.f64 (/.f64 x z) 1/2) 2)
(/.f64 x z)
(.f64 (.f64 1/2 (/.f64 1/2 z)) (*.f64 x 4))
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(.f64 (.f64 x (/.f64 1/2 z)) 2)
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(.f64 (.f64 (/.f64 1 z) (/.f64 x 2)) 2)
(+.f64 (/.f64 x (+.f64 z z)) (/.f64 x (+.f64 z z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(.f64 x (.f64 2 (/.f64 1/2 z)))
(.f64 (.f64 (/.f64 1 z) 1/4) (*.f64 x 4))
(/.f64 x z)
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 z))) x)
(/.f64 x z)
(.f64 (.f64 1/2 (/.f64 2 z)) x)
(.f64 1/2 (.f64 x (/.f64 2 z)))
(.f64 x (.f64 1/2 (/.f64 2 z)))
(.f64 (.f64 1/2 (/.f64 (/.f64 x z) (*.f64 z (/.f64 1/2 x)))) (/.f64 z x))
(/.f64 x z)
(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
(/.f64 x z)
(.f64 (.f64 1/2 (/.f64 (/.f64 z z) (/.f64 (/.f64 z x) x))) (*.f64 2 (/.f64 1 x)))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 1/2 (/.f64 x (/.f64 (/.f64 z x) (/.f64 z z)))))
(.f64 1/2 (.f64 2 (*.f64 (/.f64 1 x) (/.f64 x (/.f64 z x)))))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(/.f64 (*.f64 x (/.f64 x z)) x)
(pow.f64 (/.f64 x z) 1)
(/.f64 x z)
(neg.f64 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(neg.f64 (/.f64 1 (/.f64 z (neg.f64 x))))
(/.f64 x z)
(neg.f64 (/.f64 -1 (/.f64 z x)))
(/.f64 x z)
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 x)) z))
(/.f64 x z)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 2 z) (/.f64 2 x))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`rational.json-1`
1770×	`rational.json-2`
1770×	`rational.json-4`
1770×	`rational.json-3`
1078×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	65	7
2	231	7
3	806	7
4	3211	7
5	6827	7

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(/.f64 (/.f64 2 z) (/.f64 2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x 1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 2 z) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (/.f64 4 x)) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 z) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x 4) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1/2 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (/.f64 1 (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (*.f64 (*.f64 x 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4 z)) (/.f64 1 (*.f64 2 (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4 z)) (*.f64 1/4 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1 z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 z) (/.f64 -1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 x -2) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 (/.f64 2 z) -2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 2 z) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 4)) (*.f64 1/8 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 4 x)) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 -1/2 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 4 z)) (*.f64 -1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1/2) 1/2) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/2) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 z) (/.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 z) (/.f64 4 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 4 x))) (*.f64 2 (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 z 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 2 x)) (/.f64 -2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (/.f64 4 x)) (/.f64 1 (/.f64 4 x))) (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 z) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 z)))))))

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

828×	`rational.json-simplify-35`
804×	`exponential.json-simplify-26`
782×	`rational.json-simplify-55`
756×	`rational.json-simplify-2`
742×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	532
1	288	532
2	649	532
3	1432	532
4	4106	532
5	6470	532

Stop Event

1×	node limit

Counts

76 → 53

Calls

Call 1

Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 (/.f64 x z) 0)
(+.f64 0 (/.f64 x z))
(-.f64 (/.f64 x z) 0)
(.f64 2 (/.f64 (.f64 x 1/2) z))
(*.f64 2 (/.f64 (/.f64 2 z) (/.f64 4 x)))
(.f64 2 (.f64 (/.f64 1 z) (*.f64 x 1/2)))
(.f64 2 (.f64 x (/.f64 1/2 z)))
(*.f64 2 (/.f64 (/.f64 x z) 2))
(.f64 2 (.f64 (/.f64 1 (/.f64 4 x)) (/.f64 2 z)))
(.f64 (/.f64 2 z) (.f64 x 1/2))
(*.f64 x (/.f64 1 z))
(*.f64 (/.f64 x z) 1)
(*.f64 1 (/.f64 x z))
(.f64 4 (.f64 (/.f64 x 4) (/.f64 1 z)))
(.f64 4 (.f64 (/.f64 1/2 z) (*.f64 x 1/2)))
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(*.f64 (/.f64 4 z) (/.f64 1 (/.f64 4 x)))
(.f64 (/.f64 4 z) (.f64 (*.f64 x 1/2) 1/2))
(.f64 (/.f64 4 z) (.f64 x 1/4))
(.f64 (.f64 2 (/.f64 x z)) 1/2)
(.f64 (.f64 2 (/.f64 4 z)) (/.f64 1 (*.f64 2 (/.f64 4 x))))
(.f64 (.f64 2 (/.f64 4 z)) (.f64 1/4 (.f64 x 1/2)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 z) 1/4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 z 4)))
(*.f64 (/.f64 -2 z) (/.f64 -1 (/.f64 2 x)))
(*.f64 (neg.f64 x) (/.f64 -1 z))
(.f64 -2 (.f64 (/.f64 x -2) (/.f64 1 z)))
(.f64 -2 (.f64 (/.f64 (/.f64 2 z) -2) (*.f64 x 1/2)))
(*.f64 (/.f64 1 z) x)
(.f64 (.f64 x 1/2) (/.f64 2 z))
(*.f64 -1 (/.f64 (/.f64 2 z) (/.f64 -2 x)))
(*.f64 -1 (/.f64 x (neg.f64 z)))
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/8 (/.f64 1 z)))
(.f64 1/2 (.f64 2 (/.f64 x z)))
(*.f64 (/.f64 1 (/.f64 4 x)) (/.f64 4 z))
(.f64 (.f64 x -2) (*.f64 -1/2 (/.f64 1 z)))
(.f64 (neg.f64 (/.f64 4 z)) (.f64 -1/2 (*.f64 x 1/2)))
(*.f64 (/.f64 1/2 z) (+.f64 x x))
(.f64 (.f64 (*.f64 x 1/2) 1/2) (/.f64 4 z))
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(*.f64 (/.f64 (/.f64 2 z) (/.f64 -2 x)) -1)
(*.f64 (/.f64 x (neg.f64 z)) -1)
(*.f64 (/.f64 (/.f64 2 z) (/.f64 4 x)) 2)
(*.f64 (/.f64 (/.f64 x z) 2) 2)
(.f64 (/.f64 1 (.f64 2 (/.f64 4 x))) (*.f64 2 (/.f64 4 z)))
(.f64 (/.f64 1 (.f64 z 4)) (*.f64 x 4))
(*.f64 (/.f64 -1 (/.f64 2 x)) (/.f64 -2 z))
(*.f64 (/.f64 -1 z) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1 (/.f64 4 x)) (/.f64 1 (/.f64 4 x))) (/.f64 2 z))
(pow.f64 (/.f64 x z) 1)
(neg.f64 (/.f64 (/.f64 2 z) (/.f64 -2 x)))
(neg.f64 (/.f64 x (neg.f64 z)))

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 (/.f64 x z) 0)
(/.f64 x z)
(+.f64 0 (/.f64 x z))
(/.f64 x z)
(-.f64 (/.f64 x z) 0)
(/.f64 x z)
(.f64 2 (/.f64 (.f64 x 1/2) z))
(/.f64 x z)
(*.f64 2 (/.f64 (/.f64 2 z) (/.f64 4 x)))
(/.f64 x z)
(.f64 2 (.f64 (/.f64 1 z) (*.f64 x 1/2)))
(/.f64 x z)
(.f64 2 (.f64 x (/.f64 1/2 z)))
(/.f64 x z)
(*.f64 2 (/.f64 (/.f64 x z) 2))
(/.f64 x z)
(.f64 2 (.f64 (/.f64 1 (/.f64 4 x)) (/.f64 2 z)))
(/.f64 x z)
(.f64 (/.f64 2 z) (.f64 x 1/2))
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 x z)
(*.f64 (/.f64 x z) 1)
(/.f64 x z)
(*.f64 1 (/.f64 x z))
(/.f64 x z)
(.f64 4 (.f64 (/.f64 x 4) (/.f64 1 z)))
(/.f64 x z)
(.f64 4 (.f64 (/.f64 1/2 z) (*.f64 x 1/2)))
(/.f64 x z)
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(/.f64 x z)
(*.f64 (/.f64 4 z) (/.f64 1 (/.f64 4 x)))
(/.f64 x z)
(.f64 (/.f64 4 z) (.f64 (*.f64 x 1/2) 1/2))
(/.f64 x z)
(.f64 (/.f64 4 z) (.f64 x 1/4))
(/.f64 x z)
(.f64 (.f64 2 (/.f64 x z)) 1/2)
(/.f64 x z)
(.f64 (.f64 2 (/.f64 4 z)) (/.f64 1 (*.f64 2 (/.f64 4 x))))
(/.f64 x z)
(.f64 (.f64 2 (/.f64 4 z)) (.f64 1/4 (.f64 x 1/2)))
(/.f64 x z)
(.f64 (.f64 x 4) (*.f64 (/.f64 1 z) 1/4))
(/.f64 x z)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 z 4)))
(/.f64 x z)
(*.f64 (/.f64 -2 z) (/.f64 -1 (/.f64 2 x)))
(/.f64 x z)
(*.f64 (neg.f64 x) (/.f64 -1 z))
(/.f64 x z)
(.f64 -2 (.f64 (/.f64 x -2) (/.f64 1 z)))
(/.f64 x z)
(.f64 -2 (.f64 (/.f64 (/.f64 2 z) -2) (*.f64 x 1/2)))
(/.f64 x z)
(*.f64 (/.f64 1 z) x)
(/.f64 x z)
(.f64 (.f64 x 1/2) (/.f64 2 z))
(/.f64 x z)
(*.f64 -1 (/.f64 (/.f64 2 z) (/.f64 -2 x)))
(/.f64 x z)
(*.f64 -1 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/8 (/.f64 1 z)))
(/.f64 x z)
(.f64 1/2 (.f64 2 (/.f64 x z)))
(/.f64 x z)
(*.f64 (/.f64 1 (/.f64 4 x)) (/.f64 4 z))
(/.f64 x z)
(.f64 (.f64 x -2) (*.f64 -1/2 (/.f64 1 z)))
(/.f64 x z)
(.f64 (neg.f64 (/.f64 4 z)) (.f64 -1/2 (*.f64 x 1/2)))
(/.f64 x z)
(*.f64 (/.f64 1/2 z) (+.f64 x x))
(/.f64 x z)
(.f64 (.f64 (*.f64 x 1/2) 1/2) (/.f64 4 z))
(/.f64 x z)
(.f64 (/.f64 (.f64 x 1/2) z) 2)
(/.f64 x z)
(*.f64 (/.f64 (/.f64 2 z) (/.f64 -2 x)) -1)
(/.f64 x z)
(*.f64 (/.f64 x (neg.f64 z)) -1)
(/.f64 x z)
(*.f64 (/.f64 (/.f64 2 z) (/.f64 4 x)) 2)
(/.f64 x z)
(*.f64 (/.f64 (/.f64 x z) 2) 2)
(/.f64 x z)
(.f64 (/.f64 1 (.f64 2 (/.f64 4 x))) (*.f64 2 (/.f64 4 z)))
(/.f64 x z)
(.f64 (/.f64 1 (.f64 z 4)) (*.f64 x 4))
(/.f64 x z)
(*.f64 (/.f64 -1 (/.f64 2 x)) (/.f64 -2 z))
(/.f64 x z)
(*.f64 (/.f64 -1 z) (neg.f64 x))
(/.f64 x z)
(*.f64 (+.f64 (/.f64 1 (/.f64 4 x)) (/.f64 1 (/.f64 4 x))) (/.f64 2 z))
(/.f64 x z)
(pow.f64 (/.f64 x z) 1)
(/.f64 x z)
(neg.f64 (/.f64 (/.f64 2 z) (/.f64 -2 x)))
(/.f64 x z)
(neg.f64 (/.f64 x (neg.f64 z)))
(/.f64 x z)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 (neg.f64 x) z))
✓	3.4b	(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`
1380×	`rational.json-3`
1368×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	85	40
2	202	34
3	492	32
4	1406	20
5	4330	20

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 x z) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (neg.f64 (*.f64 (/.f64 1 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 z) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (neg.f64 (/.f64 x (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 1 z) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 -2 z)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) (neg.f64 (/.f64 -1 (*.f64 z -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (neg.f64 (/.f64 -1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 x (*.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 z) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 z -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (/.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (/.f64 1 z) 1/2)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 x (*.f64 z -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (*.f64 z -4))) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1/2 z)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (/.f64 1 z) 1/2) (*.f64 (/.f64 1 z) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 (*.f64 z -4)) (/.f64 -1 (*.f64 z -4))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (*.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 -2 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) (*.f64 z -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 2 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 z 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 -2 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -8) (*.f64 2 (*.f64 z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (*.f64 z 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 2 (*.f64 2 (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 z 8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 -4 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 x z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (/.f64 x z))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4)) (*.f64 z 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 z x))) (*.f64 (*.f64 2 (/.f64 z x)) (*.f64 2 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -4) z) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x z) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 z -2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 z) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 2) (/.f64 z 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 x -4) z)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (/.f64 x z) 1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (/.f64 x z)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 z 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) 1/2) (*.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 z)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (-.f64 (/.f64 x z) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x z) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (-.f64 (/.f64 x z) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x z) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 x z) -1) 2) (/.f64 (-.f64 (/.f64 x z) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 x z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 x z) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (/.f64 x z) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 x z) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (/.f64 x z) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 x z) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 x z) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 x z) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 x z) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 -1 (/.f64 x z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 x z) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (/.f64 x z) -1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 x z) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (/.f64 x z)))))))

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational.json-simplify-35`
1046×	`rational.json-simplify-50`
1026×	`rational.json-simplify-43`
748×	`rational.json-simplify-41`
700×	`rational.json-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	212	1519
1	562	1495
2	1691	1495
3	4300	1495
4	6374	1495

Stop Event

1×	node limit

Counts

163 → 122

Calls

Call 1

Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
1
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(/.f64 x z)
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(/.f64 x z)
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(/.f64 x z)
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
1
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
1
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(+.f64 1 (/.f64 x z))
(-.f64 -1 (-.f64 -1 (/.f64 x z)))
(-.f64 1 (-.f64 1 (/.f64 x z)))
(-.f64 (-.f64 (/.f64 x z) -1) 1)
(-.f64 0 (/.f64 x (neg.f64 z)))
(-.f64 (/.f64 x z) 0)
(-.f64 (+.f64 -1 (/.f64 x z)) -1)
(*.f64 -1 (/.f64 x (neg.f64 z)))
(*.f64 1 (/.f64 x z))
(*.f64 x (/.f64 1 z))
(.f64 x (.f64 1/2 (/.f64 2 z)))
(*.f64 (neg.f64 x) (/.f64 -1 z))
(*.f64 (/.f64 x (neg.f64 z)) -1)
(.f64 (.f64 x -2) (/.f64 -1/2 z))
(.f64 (.f64 x -2) (neg.f64 (*.f64 (/.f64 1 z) 1/2)))
(*.f64 2 (/.f64 x (+.f64 z z)))
(.f64 2 (.f64 (/.f64 1 z) (/.f64 x 2)))
(.f64 2 (.f64 (/.f64 x z) 1/2))
(.f64 2 (neg.f64 (/.f64 x (.f64 z -2))))
(.f64 2 (.f64 x (/.f64 1/2 z)))
(.f64 2 (.f64 (*.f64 (/.f64 1 z) 1/2) x))
(.f64 (.f64 x (/.f64 -2 z)) -1/2)
(.f64 (.f64 x -4) (neg.f64 (/.f64 -1 (*.f64 z -4))))
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(.f64 (+.f64 x x) (.f64 (/.f64 1 z) 1/2))
(*.f64 (+.f64 x x) (neg.f64 (/.f64 -1/2 z)))
(.f64 -2 (/.f64 x (.f64 z -2)))
(*.f64 (/.f64 x z) 1)
(*.f64 (/.f64 1 z) x)
(.f64 (.f64 x (/.f64 2 z)) 1/2)
(*.f64 (/.f64 -1 z) (neg.f64 x))
(*.f64 (/.f64 1/2 z) (+.f64 x x))
(.f64 1/2 (.f64 x (/.f64 2 z)))
(.f64 (.f64 2 (/.f64 1 z)) (*.f64 x 1/2))
(.f64 (.f64 (/.f64 1 z) 1/2) (+.f64 x x))
(.f64 -1/2 (.f64 x (/.f64 -2 z)))
(.f64 (/.f64 -1/2 z) (.f64 x -2))
(.f64 (/.f64 x (.f64 z -2)) -2)
(*.f64 (/.f64 x (+.f64 z z)) 2)
(.f64 (.f64 (/.f64 1 z) (/.f64 x 2)) 2)
(.f64 (.f64 1/2 (/.f64 2 z)) x)
(.f64 (.f64 (/.f64 x z) 1/2) 2)
(.f64 (neg.f64 (.f64 (/.f64 1 z) 1/2)) (*.f64 x -2))
(.f64 (neg.f64 (/.f64 x (.f64 z -2))) 2)
(.f64 (neg.f64 (/.f64 -1 (.f64 z -4))) (*.f64 x -4))
(*.f64 (neg.f64 (/.f64 -1/2 z)) (+.f64 x x))
(.f64 (.f64 x (/.f64 1/2 z)) 2)
(.f64 (+.f64 (.f64 (/.f64 1 z) 1/2) (*.f64 (/.f64 1 z) 1/2)) x)
(.f64 (+.f64 (/.f64 -1 (.f64 z -4)) (/.f64 -1 (*.f64 z -4))) (+.f64 x x))
(/.f64 -1 (/.f64 z (neg.f64 x)))
(/.f64 1 (/.f64 z x))
(/.f64 x z)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 (/.f64 x (neg.f64 z)) -1)
(/.f64 (.f64 x -2) (.f64 z -2))
(/.f64 2 (*.f64 2 (/.f64 z x)))
(/.f64 (*.f64 x (/.f64 -2 z)) -2)
(/.f64 (.f64 x -4) (.f64 z -4))
(/.f64 (+.f64 x x) (+.f64 z z))
(/.f64 4 (.f64 2 (.f64 2 (/.f64 z x))))
(/.f64 4 (/.f64 (*.f64 z 4) x))
(/.f64 -2 (/.f64 -2 (/.f64 x z)))
(/.f64 (/.f64 x z) 1)
(/.f64 (/.f64 1 z) (/.f64 1 x))
(/.f64 (*.f64 (/.f64 x z) -4) -4)
(/.f64 (.f64 x -8) (.f64 2 (*.f64 z -4)))
(/.f64 (.f64 x 4) (.f64 z 4))
(/.f64 8 (.f64 2 (/.f64 (.f64 z 4) x)))
(/.f64 8 (.f64 2 (.f64 2 (*.f64 2 (/.f64 z x)))))
(/.f64 8 (/.f64 (*.f64 z 8) x))
(/.f64 -4 (/.f64 -4 (/.f64 x z)))
(/.f64 (*.f64 x (/.f64 2 z)) 2)
(/.f64 (*.f64 4 (/.f64 x z)) 4)
(/.f64 (.f64 2 (.f64 4 (/.f64 x z))) 8)
(/.f64 (.f64 2 (.f64 x 4)) (*.f64 z 8))
(/.f64 (.f64 2 (.f64 2 (/.f64 z x))) (.f64 (.f64 2 (/.f64 z x)) (*.f64 2 (/.f64 z x))))
(/.f64 (/.f64 (*.f64 x -4) z) -4)
(/.f64 (/.f64 (/.f64 x z) 1/4) 4)
(/.f64 (/.f64 x (*.f64 z -2)) -1/2)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x (+.f64 z z)) 1/2)
(/.f64 (/.f64 x 2) (/.f64 z 2))
(/.f64 (.f64 2 (/.f64 (.f64 x -4) z)) -8)
(/.f64 (*.f64 2 (/.f64 (/.f64 x z) 1/4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (/.f64 x z)))) 16)
(/.f64 (/.f64 x (*.f64 z 4)) 1/4)
(/.f64 (/.f64 x 1/2) (+.f64 z z))
(/.f64 (/.f64 (neg.f64 x) 1/2) (*.f64 z -2))
(pow.f64 (/.f64 x z) 1)
(neg.f64 (/.f64 x (neg.f64 z)))
(+.f64 -1 (-.f64 (/.f64 x z) -2))
(+.f64 -1 (-.f64 (-.f64 (/.f64 x z) -1) -1))
(+.f64 1 (/.f64 x z))
(+.f64 (-.f64 (/.f64 x z) -1) 0)
(+.f64 0 (-.f64 (/.f64 x z) -1))
(+.f64 -2 (-.f64 (-.f64 (/.f64 x z) -2) -1))
(+.f64 (/.f64 x z) 1)
(+.f64 (-.f64 (/.f64 x z) -2) -1)
(+.f64 (/.f64 (-.f64 (/.f64 x z) -1) 2) (/.f64 (-.f64 (/.f64 x z) -1) 2))
(*.f64 -1 (-.f64 -1 (/.f64 x z)))
(*.f64 1 (-.f64 (/.f64 x z) -1))
(*.f64 (-.f64 (/.f64 x z) -1) 1)
(*.f64 2 (/.f64 (-.f64 (/.f64 x z) -1) 2))
(.f64 (.f64 (-.f64 (/.f64 x z) -1) 2) 1/2)
(*.f64 (-.f64 -1 (/.f64 x z)) -1)
(.f64 1/2 (.f64 (-.f64 (/.f64 x z) -1) 2))
(*.f64 (/.f64 (-.f64 (/.f64 x z) -1) 2) 2)
(/.f64 (-.f64 (/.f64 x z) -1) 1)
(/.f64 (*.f64 (-.f64 (/.f64 x z) -1) 2) 2)
(/.f64 (-.f64 -1 (/.f64 x z)) -1)
(/.f64 (*.f64 (-.f64 (/.f64 x z) -1) 4) 4)
(/.f64 (*.f64 2 (-.f64 -1 (/.f64 x z))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 x z) -1) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (/.f64 x z) -1) 4))) 16)
(pow.f64 (-.f64 (/.f64 x z) -1) 1)
(neg.f64 (-.f64 -1 (/.f64 x z)))

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
1
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(/.f64 x z)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(/.f64 x z)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(/.f64 x z)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
1
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
1
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(-.f64 -1 (-.f64 -1 (/.f64 x z)))
(/.f64 x z)
(-.f64 1 (-.f64 1 (/.f64 x z)))
(/.f64 x z)
(-.f64 (-.f64 (/.f64 x z) -1) 1)
(/.f64 x z)
(-.f64 0 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(-.f64 (/.f64 x z) 0)
(/.f64 x z)
(-.f64 (+.f64 -1 (/.f64 x z)) -1)
(/.f64 x z)
(*.f64 -1 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(*.f64 1 (/.f64 x z))
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 x z)
(.f64 x (.f64 1/2 (/.f64 2 z)))
(.f64 (/.f64 2 z) (.f64 x 1/2))
(*.f64 (neg.f64 x) (/.f64 -1 z))
(/.f64 x z)
(*.f64 (/.f64 x (neg.f64 z)) -1)
(/.f64 x z)
(.f64 (.f64 x -2) (/.f64 -1/2 z))
(/.f64 x z)
(.f64 (.f64 x -2) (neg.f64 (*.f64 (/.f64 1 z) 1/2)))
(/.f64 x z)
(*.f64 2 (/.f64 x (+.f64 z z)))
(/.f64 x z)
(.f64 2 (.f64 (/.f64 1 z) (/.f64 x 2)))
(.f64 (/.f64 1 z) (.f64 (/.f64 x 2) 2))
(*.f64 2 (/.f64 (/.f64 x 2) z))
(.f64 2 (.f64 (/.f64 x z) 1/2))
(/.f64 x z)
(.f64 2 (neg.f64 (/.f64 x (.f64 z -2))))
(/.f64 x z)
(.f64 2 (.f64 x (/.f64 1/2 z)))
(/.f64 x z)
(.f64 2 (.f64 (*.f64 (/.f64 1 z) 1/2) x))
(/.f64 x z)
(.f64 (.f64 x (/.f64 -2 z)) -1/2)
(/.f64 x z)
(.f64 (.f64 x -4) (neg.f64 (/.f64 -1 (*.f64 z -4))))
(/.f64 x z)
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(/.f64 x z)
(.f64 (+.f64 x x) (.f64 (/.f64 1 z) 1/2))
(/.f64 x z)
(*.f64 (+.f64 x x) (neg.f64 (/.f64 -1/2 z)))
(/.f64 x z)
(.f64 -2 (/.f64 x (.f64 z -2)))
(/.f64 x z)
(*.f64 (/.f64 x z) 1)
(/.f64 x z)
(*.f64 (/.f64 1 z) x)
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 z)) 1/2)
(.f64 x (.f64 1/2 (/.f64 2 z)))
(.f64 (/.f64 2 z) (.f64 x 1/2))
(*.f64 (/.f64 -1 z) (neg.f64 x))
(/.f64 x z)
(*.f64 (/.f64 1/2 z) (+.f64 x x))
(/.f64 x z)
(.f64 1/2 (.f64 x (/.f64 2 z)))
(.f64 x (.f64 1/2 (/.f64 2 z)))
(.f64 (/.f64 2 z) (.f64 x 1/2))
(.f64 (.f64 2 (/.f64 1 z)) (*.f64 x 1/2))
(/.f64 x z)
(.f64 (.f64 (/.f64 1 z) 1/2) (+.f64 x x))
(/.f64 x z)
(.f64 -1/2 (.f64 x (/.f64 -2 z)))
(/.f64 x z)
(.f64 (/.f64 -1/2 z) (.f64 x -2))
(/.f64 x z)
(.f64 (/.f64 x (.f64 z -2)) -2)
(/.f64 x z)
(*.f64 (/.f64 x (+.f64 z z)) 2)
(/.f64 x z)
(.f64 (.f64 (/.f64 1 z) (/.f64 x 2)) 2)
(.f64 (/.f64 1 z) (.f64 (/.f64 x 2) 2))
(*.f64 2 (/.f64 (/.f64 x 2) z))
(.f64 (.f64 1/2 (/.f64 2 z)) x)
(.f64 x (.f64 1/2 (/.f64 2 z)))
(.f64 (/.f64 2 z) (.f64 x 1/2))
(.f64 (.f64 (/.f64 x z) 1/2) 2)
(/.f64 x z)
(.f64 (neg.f64 (.f64 (/.f64 1 z) 1/2)) (*.f64 x -2))
(/.f64 x z)
(.f64 (neg.f64 (/.f64 x (.f64 z -2))) 2)
(/.f64 x z)
(.f64 (neg.f64 (/.f64 -1 (.f64 z -4))) (*.f64 x -4))
(/.f64 x z)
(*.f64 (neg.f64 (/.f64 -1/2 z)) (+.f64 x x))
(/.f64 x z)
(.f64 (.f64 x (/.f64 1/2 z)) 2)
(/.f64 x z)
(.f64 (+.f64 (.f64 (/.f64 1 z) 1/2) (*.f64 (/.f64 1 z) 1/2)) x)
(/.f64 x z)
(.f64 (+.f64 (/.f64 -1 (.f64 z -4)) (/.f64 -1 (*.f64 z -4))) (+.f64 x x))
(/.f64 x z)
(/.f64 -1 (/.f64 z (neg.f64 x)))
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(/.f64 x z)
(/.f64 x z)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(/.f64 (/.f64 x (neg.f64 z)) -1)
(/.f64 x z)
(/.f64 (.f64 x -2) (.f64 z -2))
(/.f64 x z)
(/.f64 2 (*.f64 2 (/.f64 z x)))
(/.f64 x z)
(/.f64 (*.f64 x (/.f64 -2 z)) -2)
(/.f64 x z)
(/.f64 (.f64 x -4) (.f64 z -4))
(/.f64 x z)
(/.f64 (+.f64 x x) (+.f64 z z))
(/.f64 x z)
(/.f64 4 (.f64 2 (.f64 2 (/.f64 z x))))
(/.f64 x z)
(/.f64 4 (/.f64 (*.f64 z 4) x))
(/.f64 x z)
(/.f64 -2 (/.f64 -2 (/.f64 x z)))
(/.f64 x z)
(/.f64 (/.f64 x z) 1)
(/.f64 x z)
(/.f64 (/.f64 1 z) (/.f64 1 x))
(/.f64 x z)
(/.f64 (*.f64 (/.f64 x z) -4) -4)
(/.f64 x z)
(/.f64 (.f64 x -8) (.f64 2 (*.f64 z -4)))
(/.f64 x z)
(/.f64 (.f64 x 4) (.f64 z 4))
(/.f64 x z)
(/.f64 8 (.f64 2 (/.f64 (.f64 z 4) x)))
(/.f64 x z)
(/.f64 8 (.f64 2 (.f64 2 (*.f64 2 (/.f64 z x)))))
(/.f64 x z)
(/.f64 8 (/.f64 (*.f64 z 8) x))
(/.f64 x z)
(/.f64 -4 (/.f64 -4 (/.f64 x z)))
(/.f64 x z)
(/.f64 (*.f64 x (/.f64 2 z)) 2)
(/.f64 x z)
(/.f64 (*.f64 4 (/.f64 x z)) 4)
(/.f64 x z)
(/.f64 (.f64 2 (.f64 4 (/.f64 x z))) 8)
(/.f64 x z)
(/.f64 (.f64 2 (.f64 x 4)) (*.f64 z 8))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 2 (/.f64 z x))) (.f64 (.f64 2 (/.f64 z x)) (*.f64 2 (/.f64 z x))))
(.f64 (.f64 2 (/.f64 z x)) (/.f64 2 (.f64 2 (.f64 (/.f64 z x) (*.f64 2 (/.f64 z x))))))
(.f64 (.f64 2 (/.f64 z x)) (/.f64 (/.f64 x z) (*.f64 2 (/.f64 z x))))
(+.f64 (/.f64 1 (.f64 2 (/.f64 z x))) (/.f64 1 (.f64 2 (/.f64 z x))))
(/.f64 (/.f64 (*.f64 x -4) z) -4)
(/.f64 x z)
(/.f64 (/.f64 (/.f64 x z) 1/4) 4)
(/.f64 x z)
(/.f64 (/.f64 x (*.f64 z -2)) -1/2)
(/.f64 x z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 x z)
(/.f64 (/.f64 x (+.f64 z z)) 1/2)
(/.f64 x z)
(/.f64 (/.f64 x 2) (/.f64 z 2))
(/.f64 x z)
(/.f64 (.f64 2 (/.f64 (.f64 x -4) z)) -8)
(/.f64 x z)
(/.f64 (*.f64 2 (/.f64 (/.f64 x z) 1/4)) 8)
(/.f64 x z)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (/.f64 x z)))) 16)
(/.f64 x z)
(/.f64 (/.f64 x (*.f64 z 4)) 1/4)
(/.f64 x z)
(/.f64 (/.f64 x 1/2) (+.f64 z z))
(/.f64 x z)
(/.f64 (/.f64 (neg.f64 x) 1/2) (*.f64 z -2))
(/.f64 x z)
(pow.f64 (/.f64 x z) 1)
(/.f64 x z)
(neg.f64 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(+.f64 -1 (-.f64 (/.f64 x z) -2))
(+.f64 (/.f64 x z) 1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 x z) -1) -1))
(+.f64 (/.f64 x z) 1)
(+.f64 1 (/.f64 x z))
(+.f64 (/.f64 x z) 1)
(+.f64 (-.f64 (/.f64 x z) -1) 0)
(+.f64 (/.f64 x z) 1)
(+.f64 0 (-.f64 (/.f64 x z) -1))
(+.f64 (/.f64 x z) 1)
(+.f64 -2 (-.f64 (-.f64 (/.f64 x z) -2) -1))
(+.f64 (/.f64 x z) 1)
(+.f64 (/.f64 x z) 1)
(+.f64 (-.f64 (/.f64 x z) -2) -1)
(+.f64 (/.f64 x z) 1)
(+.f64 (/.f64 (-.f64 (/.f64 x z) -1) 2) (/.f64 (-.f64 (/.f64 x z) -1) 2))
(+.f64 (/.f64 x z) 1)
(*.f64 -1 (-.f64 -1 (/.f64 x z)))
(+.f64 (/.f64 x z) 1)
(*.f64 1 (-.f64 (/.f64 x z) -1))
(+.f64 (/.f64 x z) 1)
(*.f64 (-.f64 (/.f64 x z) -1) 1)
(+.f64 (/.f64 x z) 1)
(*.f64 2 (/.f64 (-.f64 (/.f64 x z) -1) 2))
(+.f64 (/.f64 x z) 1)
(.f64 (.f64 (-.f64 (/.f64 x z) -1) 2) 1/2)
(+.f64 (/.f64 x z) 1)
(*.f64 (-.f64 -1 (/.f64 x z)) -1)
(+.f64 (/.f64 x z) 1)
(.f64 1/2 (.f64 (-.f64 (/.f64 x z) -1) 2))
(+.f64 (/.f64 x z) 1)
(*.f64 (/.f64 (-.f64 (/.f64 x z) -1) 2) 2)
(+.f64 (/.f64 x z) 1)
(/.f64 (-.f64 (/.f64 x z) -1) 1)
(+.f64 (/.f64 x z) 1)
(/.f64 (*.f64 (-.f64 (/.f64 x z) -1) 2) 2)
(+.f64 (/.f64 x z) 1)
(/.f64 (-.f64 -1 (/.f64 x z)) -1)
(+.f64 (/.f64 x z) 1)
(/.f64 (*.f64 (-.f64 (/.f64 x z) -1) 4) 4)
(+.f64 (/.f64 x z) 1)
(/.f64 (*.f64 2 (-.f64 -1 (/.f64 x z))) -2)
(+.f64 (/.f64 x z) 1)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 x z) -1) 4)) 8)
(+.f64 (/.f64 x z) 1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (/.f64 x z) -1) 4))) 16)
(+.f64 (/.f64 x z) 1)
(pow.f64 (-.f64 (/.f64 x z) -1) 1)
(+.f64 (/.f64 x z) 1)
(neg.f64 (-.f64 -1 (/.f64 x z)))
(+.f64 (/.f64 x z) 1)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y)))
✓	0.2b	(/.f64 (/.f64 1/2 y) z)
✓	12.5b	(*.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y))

Compiler

Compiled 38 to 19 computations (50% saved)

series4.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite322.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`exponential.json-3`
1178×	`rational.json-1`
1178×	`rational.json-2`
1178×	`rational.json-4`
1178×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	81	69
2	229	69
3	793	45
4	2934	27

Stop Event

1×	node limit

Counts

3 → 241

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (*.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 2 (*.f64 8 (*.f64 (*.f64 y y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 2 (*.f64 y (*.f64 y 4))) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 8 (*.f64 (*.f64 y y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 (/.f64 1 (*.f64 y (*.f64 y 4))) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 (/.f64 2 (*.f64 (*.f64 y y) 8)) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/2 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 y y) (*.f64 8 (*.f64 (*.f64 y y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) 4) (*.f64 1/2 (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) 4) (/.f64 1 (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1/2 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 y) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 z) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 y (*.f64 y (*.f64 y 4))) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (/.f64 1/2 y) 2) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 4) (*.f64 1/4 (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 z) 4) (*.f64 1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y y) 4) (*.f64 (/.f64 1 (*.f64 (*.f64 y y) 8)) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 y) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 z) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (/.f64 1/2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 y z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (*.f64 8 (*.f64 (*.f64 y y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 8 (*.f64 (*.f64 y y) z))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 8 (*.f64 (*.f64 y y) z))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 z 4)) (*.f64 (/.f64 1/2 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/2 z) y))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 y) (/.f64 (*.f64 y x) z)) (*.f64 (/.f64 1/2 y) (/.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/2 z)) (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (*.f64 y z)) (/.f64 1 (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (*.f64 y (+.f64 z z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (/.f64 (*.f64 y (*.f64 z 4)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (/.f64 z x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (/.f64 (+.f64 z z) x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (/.f64 (/.f64 z (neg.f64 x)) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 1 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (/.f64 1/2 y) (*.f64 y (*.f64 z 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (*.f64 y (+.f64 z z)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (*.f64 (/.f64 1/2 y) 4) (/.f64 1/2 (*.f64 y z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 x x)) (*.f64 y (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 z) (/.f64 y (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 y (+.f64 z z)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (*.f64 y (+.f64 z z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (/.f64 (*.f64 y (*.f64 z 4)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) z) (/.f64 2 (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 z) (/.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 y) (/.f64 x z)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 y) (/.f64 (neg.f64 z) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 z) (/.f64 (neg.f64 y) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (/.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 4)) (*.f64 y (*.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y y) (/.f64 x z)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 z) (/.f64 (+.f64 y y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 z) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x z) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 x x)) y) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (+.f64 x x))) (neg.f64 (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (*.f64 x 4))) (-.f64 0 (*.f64 y (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 y y) (/.f64 x z))) (neg.f64 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 y (+.f64 x x)) y)) (neg.f64 (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 y x) y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 y x) z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 y (+.f64 x x)))) (*.f64 y (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))))

simplify195.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1516×	`rational.json-simplify-44`
1336×	`rational.json-simplify-47`
1088×	`rational.json-simplify-29`
1024×	`rational.json-simplify-61`
768×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	4063
1	1919	3781
2	6491	3763

Stop Event

1×	node limit

Counts

325 → 317

Calls

Call 1

Inputs
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 y z))
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 0 (/.f64 1 z))
(+.f64 (/.f64 1/2 z) (/.f64 1/2 z))
(+.f64 (/.f64 1 z) 0)
(-.f64 (/.f64 1 z) 0)
(/.f64 1/2 (/.f64 z 2))
(/.f64 1/2 (.f64 (/.f64 1/2 y) (.f64 y z)))
(/.f64 y (*.f64 y z))
(/.f64 y (/.f64 z (/.f64 1 y)))
(/.f64 y (/.f64 1/2 (/.f64 1/2 (*.f64 y z))))
(/.f64 (/.f64 1/2 y) (*.f64 (/.f64 1/2 y) z))
(/.f64 (/.f64 1/2 y) (/.f64 z (+.f64 y y)))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z (*.f64 y 4)) 1/2))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2))
(/.f64 (/.f64 1/2 y) (/.f64 (.f64 z 4) (.f64 (+.f64 y y) 4)))
(/.f64 (/.f64 1/2 (*.f64 y z)) (/.f64 1/2 y))
(/.f64 (+.f64 y y) (*.f64 y (+.f64 z z)))
(/.f64 (+.f64 y y) (/.f64 (.f64 z (.f64 y (*.f64 y 4))) (+.f64 y y)))
(/.f64 (+.f64 y y) (/.f64 (.f64 z (.f64 2 (neg.f64 y))) -1))
(/.f64 (+.f64 y y) (/.f64 (*.f64 (+.f64 y y) (neg.f64 z)) -1))
(/.f64 (+.f64 y y) (/.f64 (.f64 2 (neg.f64 (.f64 y z))) -1))
(/.f64 (+.f64 y y) (/.f64 (*.f64 y (neg.f64 (+.f64 z z))) -1))
(/.f64 (+.f64 y y) (/.f64 (neg.f64 (*.f64 y (+.f64 z z))) -1))
(/.f64 (+.f64 y y) (/.f64 (.f64 2 (.f64 z (neg.f64 (+.f64 y y)))) -2))
(/.f64 1 z)
(/.f64 1 (.f64 (/.f64 1 y) (.f64 y z)))
(/.f64 1 (/.f64 (*.f64 y z) y))
(/.f64 (/.f64 1 y) (*.f64 (/.f64 1 y) z))
(/.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (/.f64 1/2 z) 1/2)
(/.f64 (/.f64 1/2 z) (*.f64 y (/.f64 1/2 y)))
(/.f64 (.f64 y 4) (.f64 y (*.f64 z 4)))
(/.f64 (.f64 y 4) (.f64 (/.f64 1/2 y) (.f64 8 (.f64 (*.f64 y y) z))))
(/.f64 (.f64 y (.f64 y 4)) (/.f64 (+.f64 y y) (/.f64 1/2 (*.f64 y z))))
(/.f64 2 (+.f64 z z))
(/.f64 2 (.f64 (/.f64 1/2 y) (.f64 y (*.f64 z 4))))
(/.f64 2 (/.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y z))))
(/.f64 2 (/.f64 (*.f64 y (+.f64 z z)) y))
(/.f64 2 (-.f64 0 (*.f64 2 (neg.f64 z))))
(/.f64 2 (-.f64 0 (neg.f64 (+.f64 z z))))
(/.f64 (/.f64 (/.f64 1 y) z) (/.f64 1 y))
(/.f64 (.f64 (/.f64 1/2 y) 4) (.f64 (/.f64 1/2 y) (*.f64 z 4)))
(/.f64 (.f64 z 4) (.f64 z (*.f64 z 4)))
(/.f64 (/.f64 1 z) 1)
(/.f64 (/.f64 1 z) (/.f64 y y))
(/.f64 -1/2 (.f64 (/.f64 1/2 y) (.f64 z (neg.f64 y))))
(/.f64 -1/2 (.f64 (/.f64 1/2 y) (.f64 y (neg.f64 z))))
(/.f64 -1/2 (.f64 (/.f64 1/2 y) (neg.f64 (.f64 y z))))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 y z)))
(/.f64 (neg.f64 y) (/.f64 -1/2 (/.f64 1/2 (*.f64 y z))))
(/.f64 -1 (neg.f64 z))
(/.f64 -1 (.f64 (/.f64 1/2 y) (.f64 z (neg.f64 (+.f64 y y)))))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (*.f64 y (+.f64 z z))))
(/.f64 (neg.f64 (+.f64 y y)) (/.f64 -1 (/.f64 1/2 (*.f64 y z))))
(/.f64 (/.f64 -1/2 y) (*.f64 (/.f64 1/2 y) (neg.f64 z)))
(/.f64 (/.f64 -1/2 y) (/.f64 z (neg.f64 (+.f64 y y))))
(/.f64 (/.f64 -1/2 z) (*.f64 (/.f64 1/2 y) (neg.f64 y)))
(/.f64 (/.f64 -1/2 z) (/.f64 y (neg.f64 (+.f64 y y))))
(/.f64 4 (*.f64 z 4))
(/.f64 4 (/.f64 (.f64 (/.f64 1/2 y) 4) (/.f64 1/2 (.f64 y z))))
(/.f64 (.f64 (/.f64 1/2 (.f64 y z)) 4) (*.f64 (/.f64 1/2 y) 4))
(/.f64 (.f64 (/.f64 1 y) 4) (.f64 (/.f64 1 y) (*.f64 z 4)))
(/.f64 (.f64 (+.f64 z z) 4) (.f64 (+.f64 z z) (*.f64 z 4)))
(/.f64 (*.f64 (/.f64 1/2 z) 4) 2)
(/.f64 (.f64 2 (neg.f64 y)) (/.f64 -1 (/.f64 1/2 (.f64 y z))))
(/.f64 (*.f64 (/.f64 1/2 z) 8) 4)
(/.f64 (.f64 (+.f64 y y) 4) (.f64 (*.f64 y (+.f64 z z)) 4))
(/.f64 (.f64 (+.f64 y y) 4) (/.f64 4 (/.f64 1/2 (.f64 y z))))
(/.f64 (.f64 (.f64 y y) 8) (.f64 8 (.f64 (*.f64 y y) z)))
(/.f64 (.f64 (.f64 y y) 8) (/.f64 (.f64 y 4) (/.f64 1/2 (.f64 y z))))
(/.f64 -2 (*.f64 2 (neg.f64 z)))
(/.f64 -2 (neg.f64 (+.f64 z z)))
(/.f64 (.f64 2 (neg.f64 (+.f64 y y))) (/.f64 -2 (/.f64 1/2 (.f64 y z))))
(/.f64 (/.f64 2 z) 2)
(/.f64 (/.f64 -1 z) (*.f64 (/.f64 1 y) (neg.f64 y)))
(/.f64 (/.f64 -1 z) (/.f64 (+.f64 y y) (neg.f64 (+.f64 y y))))
(/.f64 (*.f64 2 (/.f64 y z)) (+.f64 y y))
(/.f64 (.f64 2 (/.f64 y z)) (.f64 (/.f64 1/2 y) (.f64 y (.f64 y 4))))
(/.f64 (neg.f64 (/.f64 1 y)) (*.f64 (/.f64 1 y) (neg.f64 z)))
(/.f64 (neg.f64 (/.f64 1 y)) (*.f64 (/.f64 1/2 y) (neg.f64 (+.f64 z z))))
(/.f64 (neg.f64 (/.f64 1 z)) (*.f64 (/.f64 1 y) (neg.f64 y)))
(/.f64 (/.f64 y z) y)
(/.f64 (/.f64 y z) (/.f64 (.f64 y (.f64 y 4)) (*.f64 y 4)))
(/.f64 (.f64 2 (.f64 (/.f64 1/2 z) 8)) 8)
(/.f64 -4 (neg.f64 (*.f64 z 4)))
(/.f64 (/.f64 1/2 (/.f64 1/2 y)) (*.f64 y z))
(/.f64 (/.f64 (/.f64 1/2 z) (/.f64 1/2 y)) y)
(/.f64 (/.f64 (/.f64 1/2 z) (/.f64 1/2 y)) (/.f64 1/2 (/.f64 1/2 y)))
(/.f64 (/.f64 2 (/.f64 1/2 y)) (.f64 y (.f64 z 4)))
(/.f64 (/.f64 (.f64 (/.f64 1/2 y) 4) (/.f64 1/2 y)) (.f64 z 4))
(/.f64 (/.f64 1/2 (/.f64 -1/2 y)) (*.f64 z (neg.f64 y)))
(/.f64 (/.f64 1/2 (/.f64 -1/2 y)) (*.f64 y (neg.f64 z)))
(/.f64 (/.f64 1/2 (/.f64 -1/2 y)) (neg.f64 (*.f64 y z)))
(/.f64 (/.f64 (/.f64 1/2 z) (/.f64 -1/2 y)) (neg.f64 y))
(/.f64 (/.f64 (.f64 (/.f64 1/2 (.f64 y z)) 4) (/.f64 1/2 y)) 4)
(/.f64 (/.f64 (.f64 (/.f64 1 y) 4) (/.f64 1/2 y)) (.f64 (+.f64 z z) 4))
(/.f64 (/.f64 (.f64 (/.f64 1/2 z) 4) (/.f64 1/2 y)) (.f64 y 4))
(/.f64 (/.f64 (/.f64 2 z) (/.f64 1/2 y)) (*.f64 y 4))
(/.f64 (/.f64 (/.f64 -1 z) (/.f64 1/2 y)) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 (.f64 2 (/.f64 y z)) (/.f64 1/2 y)) (.f64 y (*.f64 y 4)))
(/.f64 (/.f64 (neg.f64 (/.f64 1 y)) (/.f64 1/2 y)) (*.f64 2 (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 (/.f64 1 y)) (/.f64 1/2 y)) (neg.f64 (+.f64 z z)))
(/.f64 (/.f64 (neg.f64 (/.f64 1 z)) (/.f64 1/2 y)) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 (neg.f64 (/.f64 1 z)) (/.f64 1/2 y)) (*.f64 2 (neg.f64 y)))
(/.f64 (/.f64 (.f64 y 4) (.f64 y z)) 4)
(/.f64 (/.f64 4 z) 4)
(/.f64 (/.f64 y y) z)
(/.f64 (/.f64 (+.f64 z z) z) (+.f64 z z))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (.f64 y y) 8)) (-.f64 0 (.f64 8 (.f64 (*.f64 y y) z))))
(/.f64 (/.f64 1 (/.f64 -1/2 y)) (*.f64 z (neg.f64 (+.f64 y y))))
(/.f64 (neg.f64 (.f64 y 4)) (-.f64 0 (.f64 y (*.f64 z 4))))
(/.f64 (neg.f64 (/.f64 1/2 (*.f64 y z))) (/.f64 -1/2 y))
(/.f64 (neg.f64 (*.f64 (/.f64 1/2 z) 4)) -2)
(/.f64 (neg.f64 (/.f64 2 z)) -2)
(/.f64 (neg.f64 (*.f64 2 (/.f64 y z))) (neg.f64 (+.f64 y y)))
(/.f64 (neg.f64 (.f64 z 4)) (-.f64 0 (.f64 z (*.f64 z 4))))
(/.f64 (+.f64 (/.f64 (.f64 y (+.f64 z z)) y) (/.f64 (.f64 y (+.f64 z z)) y)) (.f64 (/.f64 (.f64 y (+.f64 z z)) y) (/.f64 (*.f64 y (+.f64 z z)) y)))
(/.f64 (neg.f64 (/.f64 (/.f64 1 y) z)) (neg.f64 (/.f64 1 y)))
(/.f64 (neg.f64 (/.f64 y y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 1/2 (/.f64 1/2 y))) (neg.f64 (*.f64 y z)))
(/.f64 (neg.f64 (/.f64 (/.f64 1/2 z) (/.f64 1/2 y))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 2 (/.f64 1/2 y))) (-.f64 0 (.f64 y (.f64 z 4))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 1/2 y) 4) (/.f64 1/2 y))) (neg.f64 (.f64 z 4)))
(/.f64 (neg.f64 (/.f64 1/2 (/.f64 -1/2 y))) (*.f64 y z))
(/.f64 (neg.f64 (/.f64 1/2 (/.f64 -1/2 y))) (-.f64 0 (*.f64 z (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 1/2 (/.f64 -1/2 y))) (-.f64 0 (*.f64 y (neg.f64 z))))
(/.f64 (neg.f64 (/.f64 1/2 (/.f64 -1/2 y))) (-.f64 0 (neg.f64 (*.f64 y z))))
(/.f64 (neg.f64 (/.f64 1 (/.f64 -1/2 y))) (-.f64 0 (*.f64 z (neg.f64 (+.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (/.f64 1 y) (neg.f64 y))) z)
(/.f64 (neg.f64 (/.f64 (/.f64 1/2 z) (/.f64 -1/2 y))) y)
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 1 y) 4) (/.f64 1/2 y))) (-.f64 0 (.f64 (+.f64 z z) 4)))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 1/2 z) 4) (/.f64 1/2 y))) (neg.f64 (.f64 y 4)))
(/.f64 (neg.f64 (/.f64 (/.f64 2 z) (/.f64 1/2 y))) (neg.f64 (*.f64 y 4)))
(/.f64 (neg.f64 (/.f64 (/.f64 -1 z) (/.f64 1/2 y))) (+.f64 y y))
(/.f64 (neg.f64 (/.f64 (.f64 2 (/.f64 y z)) (/.f64 1/2 y))) (neg.f64 (.f64 y (*.f64 y 4))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1 y)) (/.f64 1/2 y))) (+.f64 z z))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1 y)) (/.f64 1/2 y))) (-.f64 0 (*.f64 2 (neg.f64 z))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1 y)) (/.f64 1/2 y))) (-.f64 0 (neg.f64 (+.f64 z z))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1 z)) (/.f64 1/2 y))) (+.f64 y y))
(/.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 1 z)) (/.f64 1/2 y))) (-.f64 0 (*.f64 2 (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 (/.f64 1/2 (*.f64 y z)))) (/.f64 1/2 y))
(/.f64 (neg.f64 (/.f64 (+.f64 z z) z)) (neg.f64 (+.f64 z z)))
(pow.f64 (/.f64 1 z) 1)
(+.f64 (/.f64 1/2 (*.f64 y z)) 0)
(+.f64 0 (/.f64 1/2 (*.f64 y z)))
(-.f64 (/.f64 1/2 (*.f64 y z)) 0)
(*.f64 1/2 (/.f64 (/.f64 1 y) z))
(*.f64 (/.f64 1/2 y) (/.f64 1 z))
(.f64 (/.f64 1/2 (.f64 y z)) 1)
(.f64 (+.f64 y y) (/.f64 2 (.f64 8 (.f64 (.f64 y y) z))))
(.f64 (+.f64 y y) (.f64 (/.f64 2 (.f64 y (.f64 y 4))) (/.f64 1/2 z)))
(.f64 1 (/.f64 1/2 (.f64 y z)))
(*.f64 (/.f64 1 y) (/.f64 1/2 z))
(*.f64 (/.f64 1/2 z) (/.f64 1 y))
(.f64 (.f64 y 4) (/.f64 1 (.f64 8 (.f64 (*.f64 y y) z))))
(.f64 (.f64 y 4) (.f64 (/.f64 1 (.f64 y (*.f64 y 4))) (/.f64 1/2 z)))
(.f64 (.f64 y 4) (.f64 (/.f64 2 (.f64 (*.f64 y y) 8)) (/.f64 1/2 z)))
(.f64 2 (.f64 (/.f64 1/2 y) (/.f64 1/2 z)))
(.f64 2 (/.f64 (/.f64 1/2 (.f64 y z)) 2))
(.f64 2 (/.f64 (+.f64 y y) (.f64 8 (.f64 (.f64 y y) z))))
(*.f64 (/.f64 (/.f64 1 y) z) 1/2)
(.f64 (.f64 (/.f64 1/2 y) 4) (*.f64 1/2 (/.f64 1/2 z)))
(.f64 (.f64 (/.f64 1/2 y) 4) (/.f64 1 (*.f64 z 4)))
(*.f64 (/.f64 1 z) (/.f64 1/2 y))
(*.f64 -1 (/.f64 (/.f64 -1/2 y) z))
(*.f64 -1 (/.f64 (/.f64 -1/2 z) y))
(*.f64 (/.f64 -1/2 y) (/.f64 -1 z))
(*.f64 (/.f64 -1/2 z) (/.f64 -1 y))
(.f64 4 (.f64 (/.f64 y (.f64 y (.f64 y 4))) (/.f64 1/2 z)))
(.f64 4 (.f64 (/.f64 (/.f64 1/2 y) 2) (/.f64 1/2 z)))
(.f64 (.f64 (/.f64 1 y) 4) (*.f64 1/4 (/.f64 1/2 z)))
(.f64 (.f64 (/.f64 1/2 z) 4) (*.f64 1/2 (/.f64 1/2 y)))
(.f64 (.f64 (+.f64 y y) 4) (.f64 (/.f64 1 (.f64 (*.f64 y y) 8)) (/.f64 1/2 z)))
(*.f64 (/.f64 -1 z) (/.f64 -1/2 y))
(*.f64 (/.f64 -1 y) (/.f64 -1/2 z))
(*.f64 (/.f64 (/.f64 -1/2 y) z) -1)
(*.f64 (/.f64 (/.f64 -1/2 z) y) -1)
(.f64 (.f64 (/.f64 1/2 y) (/.f64 1/2 z)) 2)
(.f64 (/.f64 (/.f64 1/2 (.f64 y z)) 2) 2)
(.f64 (/.f64 (+.f64 y y) (.f64 8 (.f64 (.f64 y y) z))) 2)
(.f64 (/.f64 1 (.f64 8 (.f64 (.f64 y y) z))) (*.f64 y 4))
(.f64 (/.f64 2 (.f64 8 (.f64 (.f64 y y) z))) (+.f64 y y))
(.f64 (/.f64 1 (.f64 z 4)) (*.f64 (/.f64 1/2 y) 4))
(pow.f64 (/.f64 1/2 (*.f64 y z)) 1)
(neg.f64 (/.f64 (/.f64 -1/2 y) z))
(neg.f64 (/.f64 (/.f64 -1/2 z) y))
(+.f64 (/.f64 x z) 0)
(+.f64 0 (/.f64 x z))
(+.f64 (.f64 (/.f64 1/2 y) (/.f64 (.f64 y x) z)) (.f64 (/.f64 1/2 y) (/.f64 (.f64 y x) z)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(-.f64 (/.f64 x z) 0)
(/.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))
(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
(/.f64 (+.f64 y y) (/.f64 (*.f64 y (+.f64 z z)) x))
(/.f64 (+.f64 y y) (/.f64 (/.f64 (.f64 y (.f64 z 4)) x) 2))
(/.f64 (+.f64 y y) (/.f64 (/.f64 z x) (/.f64 1/2 y)))
(/.f64 (+.f64 y y) (/.f64 (/.f64 (+.f64 z z) x) (/.f64 1 y)))
(/.f64 (+.f64 y y) (/.f64 (/.f64 z (neg.f64 x)) (/.f64 -1/2 y)))
(/.f64 x z)
(/.f64 x (.f64 (/.f64 1 y) (.f64 y z)))
(/.f64 x (/.f64 (*.f64 y z) y))
(/.f64 x (/.f64 (.f64 (/.f64 1/2 y) (.f64 y (*.f64 z 4))) 2))
(/.f64 x (/.f64 (/.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y z))) 2))
(/.f64 x (/.f64 (/.f64 (*.f64 y (+.f64 z z)) y) 2))
(/.f64 x (/.f64 (/.f64 (.f64 (/.f64 1/2 y) 4) (/.f64 1/2 (.f64 y z))) 4))
(/.f64 (/.f64 x z) 1)
(/.f64 1 (/.f64 (.f64 y z) (.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
(/.f64 (.f64 y (+.f64 x x)) (.f64 y (+.f64 z z)))
(/.f64 (/.f64 1/2 z) (/.f64 y (*.f64 y (+.f64 x x))))
(/.f64 2 (/.f64 (.f64 y (+.f64 z z)) (.f64 y x)))
(/.f64 (*.f64 (/.f64 x z) 2) 2)
(/.f64 (+.f64 x x) (/.f64 (*.f64 y (+.f64 z z)) y))
(/.f64 (+.f64 x x) (/.f64 (/.f64 (.f64 y (.f64 z 4)) y) 2))
(/.f64 (/.f64 (/.f64 1 y) z) (/.f64 2 (*.f64 y (+.f64 x x))))
(/.f64 (/.f64 1 z) (/.f64 y (*.f64 y x)))
(/.f64 (*.f64 (/.f64 1/2 y) (/.f64 x z)) (/.f64 1/2 y))
(/.f64 (/.f64 -1/2 y) (/.f64 (neg.f64 z) (*.f64 y (+.f64 x x))))
(/.f64 (/.f64 -1/2 z) (/.f64 (neg.f64 y) (*.f64 y (+.f64 x x))))
(/.f64 (.f64 y x) (.f64 y z))
(/.f64 (*.f64 y x) (/.f64 z (/.f64 1 y)))
(/.f64 (.f64 y (.f64 x 4)) (.f64 y (.f64 z 4)))
(/.f64 (*.f64 (/.f64 x z) 4) 4)
(/.f64 (*.f64 (+.f64 y y) (/.f64 x z)) (+.f64 y y))
(/.f64 (/.f64 2 z) (/.f64 (+.f64 y y) (*.f64 y x)))
(/.f64 (/.f64 -1 z) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 y (+.f64 x x))))
(/.f64 (.f64 2 (.f64 (/.f64 x z) 4)) 8)
(/.f64 (/.f64 (*.f64 y x) z) y)
(/.f64 (/.f64 (*.f64 y x) y) z)
(/.f64 (/.f64 (*.f64 y (+.f64 x x)) y) (+.f64 z z))
(/.f64 (neg.f64 (.f64 y (+.f64 x x))) (neg.f64 (.f64 y (+.f64 z z))))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 (neg.f64 (.f64 y x)) (neg.f64 (.f64 y z)))
(/.f64 (neg.f64 (.f64 y (.f64 x 4))) (-.f64 0 (.f64 y (.f64 z 4))))
(/.f64 (neg.f64 (*.f64 (+.f64 y y) (/.f64 x z))) (neg.f64 (+.f64 y y)))
(/.f64 (neg.f64 (/.f64 (*.f64 y (+.f64 x x)) y)) (neg.f64 (+.f64 z z)))
(/.f64 (neg.f64 (/.f64 (*.f64 y x) y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 y x) z)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (.f64 y (+.f64 x x)))) (.f64 y (+.f64 z z)))
(pow.f64 (/.f64 x z) 1)

Outputs
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 1/2 (*.f64 y z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 0 (/.f64 1 z))
(/.f64 1 z)
(+.f64 (/.f64 1/2 z) (/.f64 1/2 z))
(/.f64 1 z)
(+.f64 (/.f64 1 z) 0)
(/.f64 1 z)
(-.f64 (/.f64 1 z) 0)
(/.f64 1 z)
(/.f64 1/2 (/.f64 z 2))
(/.f64 1 z)
(/.f64 1/2 (.f64 (/.f64 1/2 y) (.f64 y z)))
(/.f64 1 z)
(/.f64 y (*.f64 y z))
(/.f64 1 z)
(/.f64 y (/.f64 z (/.f64 1 y)))
(/.f64 1 z)
(/.f64 y (/.f64 1/2 (/.f64 1/2 (*.f64 y z))))
(/.f64 1 z)
(/.f64 (/.f64 1/2 y) (*.f64 (/.f64 1/2 y) z))
(/.f64 1 z)
(/.f64 (/.f64 1/2 y) (/.f64 z (+.f64 y y)))
(/.f64 1 z)
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z (*.f64 y 4)) 1/2))
(/.f64 1 z)
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2))
(/.f64 1 z)
(/.f64 (/.f64 1/2 y) (/.f64 (.f64 z 4) (.f64 (+.f64 y y) 4)))
(/.f64 1 z)
(/.f64 (/.f64 1/2 (*.f64 y z)) (/.f64 1/2 y))
(/.f64 1 z)
(/.f64 (+.f64 y y) (*.f64 y (+.f64 z z)))
(/.f64 1 z)
(/.f64 (+.f64 y y) (/.f64 (.f64 z (.f64 y (*.f64 y 4))) (+.f64 y y)))
(/.f64 (+.f64 y y) (.f64 (.f64 y (*.f64 y 4)) (/.f64 z (+.f64 y y))))
(/.f64 (+.f64 y y) (.f64 (/.f64 z (+.f64 y y)) (.f64 y (*.f64 y 4))))
(/.f64 (/.f64 (/.f64 y (/.f64 y 2)) (*.f64 y 4)) (/.f64 z (/.f64 y 1/2)))
(/.f64 (+.f64 y y) (/.f64 (.f64 z (.f64 2 (neg.f64 y))) -1))
(/.f64 1 z)
(/.f64 (+.f64 y y) (/.f64 (*.f64 (+.f64 y y) (neg.f64 z)) -1))
(/.f64 1 z)
(/.f64 (+.f64 y y) (/.f64 (.f64 2 (neg.f64 (.f64 y z))) -1))
(/.f64 1 z)
(/.f64 (+.f64 y y) (/.f64 (*.f64 y (neg.f64 (+.f64 z z))) -1))
(/.f64 1 z)
(/.f64 (+.f64 y y) (/.f64 (neg.f64 (*.f64 y (+.f64 z z))) -1))
(/.f64 1 z)
(/.f64 (+.f64 y y) (/.f64 (.f64 2 (.f64 z (neg.f64 (+.f64 y y)))) -2))
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 (.f64 (/.f64 1 y) (.f64 y z)))
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(.f64 (.f64 (/.f64 1 y) 4) (*.f64 1/4 (/.f64 1/2 z)))
(.f64 (.f64 (/.f64 1 y) 4) (*.f64 (/.f64 1/2 z) 1/4))
(.f64 (/.f64 1 y) (.f64 4 (*.f64 (/.f64 1/2 z) 1/4)))
(.f64 (.f64 (/.f64 1/2 z) 4) (*.f64 1/2 (/.f64 1/2 y)))
(.f64 1/2 (.f64 (/.f64 1/2 z) (*.f64 (/.f64 1/2 y) 4)))
(.f64 (/.f64 1/2 z) (.f64 4 (*.f64 1/2 (/.f64 1/2 y))))
(.f64 (.f64 (+.f64 y y) 4) (.f64 (/.f64 1 (.f64 (*.f64 y y) 8)) (/.f64 1/2 z)))
(.f64 (.f64 (+.f64 y y) 4) (.f64 (/.f64 1/2 z) (/.f64 (/.f64 1 (.f64 y y)) 8)))
(.f64 (/.f64 1/2 z) (.f64 (.f64 y 8) (/.f64 1/8 (.f64 y y))))
(*.f64 (/.f64 -1 z) (/.f64 -1/2 y))
(*.f64 (/.f64 -1/2 y) (/.f64 -1 z))
(*.f64 (/.f64 -1 y) (/.f64 -1/2 z))
(*.f64 (/.f64 -1/2 z) (/.f64 -1 y))
(*.f64 (/.f64 (/.f64 -1/2 y) z) -1)
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(*.f64 (/.f64 (/.f64 -1/2 z) y) -1)
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(.f64 (.f64 (/.f64 1/2 y) (/.f64 1/2 z)) 2)
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(.f64 (/.f64 (/.f64 1/2 (.f64 y z)) 2) 2)
(.f64 2 (/.f64 1/4 (.f64 z y)))
(*.f64 2 (/.f64 (/.f64 1/4 z) y))
(.f64 (/.f64 (+.f64 y y) (.f64 8 (.f64 (.f64 y y) z))) 2)
(.f64 2 (/.f64 (+.f64 y y) (.f64 8 (.f64 z (.f64 y y)))))
(.f64 2 (/.f64 (+.f64 y y) (.f64 z (.f64 y (.f64 y 8)))))
(.f64 (/.f64 1 (.f64 8 (.f64 (.f64 y y) z))) (*.f64 y 4))
(.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y)))))
(.f64 (/.f64 2 (.f64 8 (.f64 (.f64 y y) z))) (+.f64 y y))
(.f64 (+.f64 y y) (/.f64 1/4 (.f64 z (*.f64 y y))))
(*.f64 (+.f64 y y) (/.f64 (/.f64 (/.f64 1/4 y) y) z))
(.f64 (/.f64 1 (.f64 z 4)) (*.f64 (/.f64 1/2 y) 4))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(pow.f64 (/.f64 1/2 (*.f64 y z)) 1)
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(neg.f64 (/.f64 (/.f64 -1/2 y) z))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(neg.f64 (/.f64 (/.f64 -1/2 z) y))
(/.f64 1/2 (*.f64 z y))
(/.f64 (/.f64 1/2 y) z)
(+.f64 (/.f64 x z) 0)
(/.f64 x z)
(+.f64 0 (/.f64 x z))
(/.f64 x z)
(+.f64 (.f64 (/.f64 1/2 y) (/.f64 (.f64 y x) z)) (.f64 (/.f64 1/2 y) (/.f64 (.f64 y x) z)))
(.f64 (.f64 y (/.f64 x z)) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(/.f64 x z)
(-.f64 (/.f64 x z) 0)
(/.f64 x z)
(/.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))
(/.f64 x z)
(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
(/.f64 x z)
(/.f64 (+.f64 y y) (/.f64 (*.f64 y (+.f64 z z)) x))
(/.f64 x z)
(/.f64 (+.f64 y y) (/.f64 (/.f64 (.f64 y (.f64 z 4)) x) 2))
(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
(/.f64 2 (.f64 1 (/.f64 (.f64 z 4) (+.f64 x x))))
(/.f64 2 (/.f64 (*.f64 z 4) (+.f64 x x)))
(/.f64 (+.f64 y y) (/.f64 (/.f64 z x) (/.f64 1/2 y)))
(/.f64 x z)
(/.f64 (+.f64 y y) (/.f64 (/.f64 (+.f64 z z) x) (/.f64 1 y)))
(/.f64 x z)
(/.f64 (+.f64 y y) (/.f64 (/.f64 z (neg.f64 x)) (/.f64 -1/2 y)))
(/.f64 x z)
(/.f64 x z)
(/.f64 x (.f64 (/.f64 1 y) (.f64 y z)))
(/.f64 x z)
(/.f64 x (/.f64 (*.f64 y z) y))
(/.f64 x z)
(/.f64 x (/.f64 (.f64 (/.f64 1/2 y) (.f64 y (*.f64 z 4))) 2))
(/.f64 x (.f64 (.f64 z (*.f64 y 4)) (/.f64 1/4 y)))
(/.f64 x (/.f64 (/.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y z))) 2))
(/.f64 x z)
(/.f64 x (/.f64 (/.f64 (*.f64 y (+.f64 z z)) y) 2))
(/.f64 x z)
(/.f64 x (/.f64 (/.f64 (.f64 (/.f64 1/2 y) 4) (/.f64 1/2 (.f64 y z))) 4))
(/.f64 x z)
(/.f64 (/.f64 x z) 1)
(/.f64 x z)
(/.f64 1 (/.f64 (.f64 y z) (.f64 y x)))
(/.f64 x z)
(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
(/.f64 x z)
(/.f64 (.f64 y (+.f64 x x)) (.f64 y (+.f64 z z)))
(/.f64 x z)
(/.f64 (/.f64 1/2 z) (/.f64 y (*.f64 y (+.f64 x x))))
(/.f64 x z)
(/.f64 2 (/.f64 (.f64 y (+.f64 z z)) (.f64 y x)))
(/.f64 x z)
(/.f64 (*.f64 (/.f64 x z) 2) 2)
(/.f64 x z)
(/.f64 (+.f64 x x) (/.f64 (*.f64 y (+.f64 z z)) y))
(/.f64 x z)
(/.f64 (+.f64 x x) (/.f64 (/.f64 (.f64 y (.f64 z 4)) y) 2))
(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
(/.f64 2 (.f64 1 (/.f64 (.f64 z 4) (+.f64 x x))))
(/.f64 2 (/.f64 (*.f64 z 4) (+.f64 x x)))
(/.f64 (/.f64 (/.f64 1 y) z) (/.f64 2 (*.f64 y (+.f64 x x))))
(/.f64 x z)
(/.f64 (/.f64 1 z) (/.f64 y (*.f64 y x)))
(/.f64 x z)
(/.f64 (*.f64 (/.f64 1/2 y) (/.f64 x z)) (/.f64 1/2 y))
(/.f64 x z)
(/.f64 (/.f64 -1/2 y) (/.f64 (neg.f64 z) (*.f64 y (+.f64 x x))))
(/.f64 x z)
(/.f64 (/.f64 -1/2 z) (/.f64 (neg.f64 y) (*.f64 y (+.f64 x x))))
(/.f64 x z)
(/.f64 (.f64 y x) (.f64 y z))
(/.f64 x z)
(/.f64 (*.f64 y x) (/.f64 z (/.f64 1 y)))
(/.f64 x z)
(/.f64 (.f64 y (.f64 x 4)) (.f64 y (.f64 z 4)))
(/.f64 (.f64 y (.f64 x 4)) (.f64 z (.f64 y 4)))
(.f64 (/.f64 1/4 z) (.f64 x 4))
(/.f64 (*.f64 (/.f64 x z) 4) 4)
(/.f64 x z)
(/.f64 (*.f64 (+.f64 y y) (/.f64 x z)) (+.f64 y y))
(/.f64 x z)
(/.f64 (/.f64 2 z) (/.f64 (+.f64 y y) (*.f64 y x)))
(/.f64 x z)
(/.f64 (/.f64 -1 z) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 y (+.f64 x x))))
(/.f64 x z)
(/.f64 (.f64 2 (.f64 (/.f64 x z) 4)) 8)
(/.f64 x z)
(/.f64 (/.f64 (*.f64 y x) z) y)
(/.f64 x z)
(/.f64 (/.f64 (*.f64 y x) y) z)
(/.f64 x z)
(/.f64 (/.f64 (*.f64 y (+.f64 x x)) y) (+.f64 z z))
(/.f64 x z)
(/.f64 (neg.f64 (.f64 y (+.f64 x x))) (neg.f64 (.f64 y (+.f64 z z))))
(/.f64 x z)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 (neg.f64 (.f64 y x)) (neg.f64 (.f64 y z)))
(/.f64 (neg.f64 (.f64 y x)) (neg.f64 (.f64 z y)))
(/.f64 (.f64 y (neg.f64 x)) (.f64 z (neg.f64 y)))
(/.f64 (neg.f64 (.f64 y (.f64 x 4))) (-.f64 0 (.f64 y (.f64 z 4))))
(/.f64 (neg.f64 (.f64 y (.f64 x 4))) (neg.f64 (.f64 z (.f64 y 4))))
(/.f64 (neg.f64 (.f64 (.f64 x 4) (neg.f64 y))) (.f64 z (.f64 y 4)))
(/.f64 (neg.f64 (*.f64 (+.f64 y y) (/.f64 x z))) (neg.f64 (+.f64 y y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) (+.f64 y y))) (neg.f64 (+.f64 y y)))
(/.f64 (*.f64 (/.f64 x z) (/.f64 y -1/2)) (/.f64 y -1/2))
(/.f64 (neg.f64 (/.f64 (*.f64 y (+.f64 x x)) y)) (neg.f64 (+.f64 z z)))
(/.f64 x z)
(/.f64 (neg.f64 (/.f64 (*.f64 y x) y)) (neg.f64 z))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 y x) z)) (neg.f64 y))
(/.f64 x z)
(/.f64 (neg.f64 (neg.f64 (.f64 y (+.f64 x x)))) (.f64 y (+.f64 z z)))
(/.f64 x z)
(pow.f64 (/.f64 x z) 1)
(/.f64 x z)

eval474.0ms (2.7%)

Compiler: Compiled 8634 to 4618 computations (46.5% saved)

prune511.0ms (2.9%)

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	721	20	741
Fresh	7	8	15
Picked	1	0	1
Done	3	8	11
Total	732	36	768

Error

Counts

768 → 36

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.8b	(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
	37.1b	(/.f64 (/.f64 (*.f64 y x) z) y)
✓	9.3b	(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
	46.3b	(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
	31.6b	(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
▶	33.5b	(/.f64 (/.f64 x y) (/.f64 z y))
✓	29.1b	(/.f64 (/.f64 2 z) (/.f64 2 x))
	37.2b	(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
	36.7b	(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
	37.2b	(/.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))
✓	7.8b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
	36.0b	(/.f64 (.f64 y x) (.f64 y z))
	36.1b	(/.f64 x (/.f64 (*.f64 z z) z))
✓	2.2b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
✓	29.0b	(/.f64 x z)
▶	28.9b	(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
	29.2b	(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
	35.1b	(-.f64 (+.f64 -1 (/.f64 x z)) -1)
▶	45.8b	(+.f64 -1 1)
✓	2.6b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
	37.7b	(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
	47.1b	(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
	46.2b	(.f64 x (/.f64 (/.f64 (neg.f64 y) (/.f64 1/4 (/.f64 y z))) (.f64 y (*.f64 y -4))))
	32.8b	(*.f64 x (/.f64 (/.f64 y z) y))
	32.9b	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 z y)))
	32.5b	(.f64 x (/.f64 (/.f64 1/2 (/.f64 1/2 y)) (.f64 y z)))
	32.9b	(*.f64 x (/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2)))
▶	29.1b	(.f64 x (/.f64 (.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 z)))
	36.1b	(.f64 x (/.f64 (.f64 z 4) (.f64 4 (.f64 z z))))
✓	8.1b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	29.1b	(*.f64 x (/.f64 1 z))
	35.5b	(*.f64 x (+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y)))))
	40.5b	(.f64 x (.f64 (*.f64 (+.f64 y y) (/.f64 (/.f64 (/.f64 1/4 y) y) z)) (+.f64 y y)))
	40.3b	(.f64 x (.f64 (.f64 (+.f64 y y) (.f64 (/.f64 2 (.f64 y (.f64 y 4))) (/.f64 1/2 z))) (+.f64 y y)))
	39.7b	(.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))
	45.8b	(.f64 x (.f64 (.f64 y y) (/.f64 8 (/.f64 (.f64 z y) (/.f64 1/8 y)))))

Compiler

Compiled 859 to 573 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
✓	4.4b	(.f64 (.f64 z 4) (/.f64 y x))
✓	10.5b	(/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y))

Compiler

Compiled 48 to 22 computations (54.2% saved)

series8.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Expression
2.0ms	y	@	(/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y))
1.0ms	z	@	(/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y))
1.0ms	z	@	(.f64 (.f64 z 4) (/.f64 y x))
0.0ms	x	@	(.f64 (.f64 z 4) (/.f64 y x))
0.0ms	x	@	(/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y))

rewrite189.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`rational.json-1`
1904×	`rational.json-2`
1904×	`rational.json-4`
1904×	`rational.json-3`
1902×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	94	87
2	275	63
3	1056	63
4	4887	63

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y))
(.f64 (.f64 z 4) (/.f64 y x))
(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (/.f64 x (*.f64 z (/.f64 2 y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (/.f64 x (*.f64 z (/.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 (/.f64 y x) y)) (*.f64 z (/.f64 (/.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (/.f64 x (*.f64 z (/.f64 2 y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (/.f64 y x) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (*.f64 (/.f64 y x) (/.f64 2 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (/.f64 1/2 y) (*.f64 4 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (*.f64 4 (/.f64 y x)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 4 (*.f64 (/.f64 1/2 x) (/.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 (*.f64 y (/.f64 2 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 (*.f64 4 (/.f64 y x)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 4 (*.f64 y (*.f64 x (/.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 (/.f64 2 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 y x) (*.f64 z (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 z (*.f64 (/.f64 1/2 x) (/.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (/.f64 y x) (*.f64 z (/.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 z (/.f64 y x)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 z (/.f64 y x)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 z (*.f64 y (*.f64 x (/.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 z (/.f64 1/2 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 4) (*.f64 (/.f64 1/2 x) (/.f64 y y)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 y (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 x (/.f64 y (/.f64 y z)))) (*.f64 1/2 (/.f64 x (/.f64 y (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 y (/.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 y (/.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 (/.f64 x y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 2 (*.f64 (/.f64 x y) (/.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 x y) (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 x (/.f64 y (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 y (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 (/.f64 1/4 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 (/.f64 (/.f64 1/4 z) (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/2 (*.f64 (/.f64 x y) (/.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y y) 4) (/.f64 1 (*.f64 (/.f64 y x) (*.f64 z 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) (*.f64 y (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (/.f64 (+.f64 x x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 x (/.f64 y (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 y y) (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (/.f64 1/2 z)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (/.f64 1/2 z)) (/.f64 1 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (/.f64 1/2 z)) (/.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y y)) (/.f64 1 (/.f64 (neg.f64 (/.f64 y x)) (/.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y y)) (/.f64 1 (neg.f64 (*.f64 (/.f64 y x) (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 1/2 z)) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 x (/.f64 y (/.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x (/.f64 y (/.f64 y z)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 z) (/.f64 (+.f64 y y) (*.f64 y (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/4 z) (/.f64 y x)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/4 z) (/.f64 y x)) (/.f64 (+.f64 y y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (/.f64 y (*.f64 y (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 1/2 z)) (*.f64 (/.f64 x y) (/.f64 1/2 z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y (/.f64 y z))) 1)))))

simplify181.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational.json-simplify-53`
936×	`rational.json-simplify-41`
824×	`rational.json-simplify-35`
690×	`rational.json-simplify-2`
672×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	363	4288
1	1080	4238
2	3156	4204
3	4402	4114
4	6554	4114

Stop Event

1×	node limit

Counts

278 → 234

Calls

Call 1

Inputs
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(*.f64 2 (/.f64 z x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
(.f64 4 (/.f64 (.f64 y z) x))
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(/.f64 (.f64 z 8) (.f64 x (/.f64 2 y)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (.f64 4 (.f64 (*.f64 z 4) (/.f64 y x))) 4)
(.f64 4 (.f64 z (/.f64 y x)))
(.f64 z (.f64 y (/.f64 4 x)))
(.f64 z (.f64 4 (/.f64 y x)))
(/.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 z))
(*.f64 (/.f64 2 x) (/.f64 y (/.f64 1/2 z)))
(.f64 (/.f64 2 x) (.f64 z (+.f64 y y)))
(*.f64 y (/.f64 (/.f64 2 x) (/.f64 1/2 z)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 2 y) (*.f64 z 8)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 y) (*.f64 z 8)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (.f64 y (/.f64 1/2 x)) (/.f64 1 (.f64 z 8)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 1/2 (/.f64 (/.f64 x y) (*.f64 z 8)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (*.f64 z -4) (-.f64 0 (/.f64 x y)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 y y)) (/.f64 (neg.f64 (+.f64 x x)) (*.f64 z 4)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 x) (*.f64 z 4)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (.f64 2 (.f64 4 (.f64 (.f64 z 4) (/.f64 y x)))) 8)
(.f64 4 (.f64 z (/.f64 y x)))
(.f64 z (.f64 y (/.f64 4 x)))
(.f64 z (.f64 4 (/.f64 y x)))
(/.f64 (.f64 2 (.f64 z 8)) (.f64 2 (.f64 x (/.f64 2 y))))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (/.f64 (*.f64 z 4) x) (/.f64 1 y))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (.f64 z (.f64 4 (/.f64 1/2 x))) (/.f64 1/2 y))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (.f64 y 1/2) (/.f64 x (.f64 z 8)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (.f64 (neg.f64 y) 1/2) (/.f64 (neg.f64 x) (.f64 z 8)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (neg.f64 (/.f64 y x)) (/.f64 -2 (*.f64 z 8)))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(/.f64 (neg.f64 (.f64 z 8)) (neg.f64 (.f64 x (/.f64 2 y))))
(*.f64 4 (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 z 4) (/.f64 x y))
(*.f64 z (/.f64 4 (/.f64 x y)))
(pow.f64 (.f64 (.f64 z 4) (/.f64 y x)) 1)
(.f64 4 (.f64 z (/.f64 y x)))
(.f64 z (.f64 y (/.f64 4 x)))
(.f64 z (.f64 4 (/.f64 y x)))
(+.f64 0 (/.f64 x (/.f64 y (/.f64 y z))))
(/.f64 x z)
(+.f64 (.f64 1/2 (/.f64 x (/.f64 y (/.f64 y z)))) (.f64 1/2 (/.f64 x (/.f64 y (/.f64 y z)))))
(/.f64 x z)
(+.f64 (/.f64 x (/.f64 y (/.f64 y z))) 0)
(/.f64 x z)
(-.f64 (/.f64 x (/.f64 y (/.f64 y z))) 0)
(/.f64 x z)
(*.f64 y (/.f64 (/.f64 x y) z))
(/.f64 x z)
(.f64 y (.f64 (/.f64 (/.f64 x y) z) 1))
(/.f64 x z)
(.f64 y (.f64 2 (*.f64 (/.f64 x y) (/.f64 1/2 z))))
(/.f64 x z)
(.f64 y (/.f64 1 (.f64 z (/.f64 y x))))
(/.f64 x z)
(.f64 (+.f64 y y) (.f64 (/.f64 x y) (/.f64 1/2 z)))
(/.f64 x z)
(.f64 2 (.f64 1/2 (/.f64 x (/.f64 y (/.f64 y z)))))
(/.f64 x z)
(*.f64 1 (/.f64 x (/.f64 y (/.f64 y z))))
(/.f64 x z)
(.f64 (.f64 y 4) (/.f64 (/.f64 1/4 z) (/.f64 y x)))
(.f64 y (.f64 4 (/.f64 x (/.f64 y (/.f64 1/4 z)))))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(.f64 (.f64 y 4) (*.f64 (/.f64 (/.f64 1/4 z) (/.f64 y x)) 1))
(.f64 y (.f64 4 (/.f64 x (/.f64 y (/.f64 1/4 z)))))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(.f64 (.f64 y 4) (.f64 1/2 (.f64 (/.f64 x y) (/.f64 1/2 z))))
(/.f64 x z)
(.f64 (.f64 (+.f64 y y) 4) (/.f64 1 (.f64 (/.f64 y x) (.f64 z 8))))
(.f64 (.f64 4 (+.f64 y y)) (/.f64 (/.f64 1 (/.f64 y x)) (*.f64 z 8)))
(.f64 (/.f64 x (.f64 z (.f64 8 y))) (.f64 y 8))
(.f64 8 (.f64 (/.f64 x (.f64 z (.f64 8 y))) y))
(.f64 8 (.f64 (*.f64 x (/.f64 (/.f64 1/8 z) y)) y))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 y (/.f64 1/2 z)))
(.f64 x (.f64 (/.f64 2 y) (*.f64 y (/.f64 1/2 z))))
(.f64 x (.f64 y (*.f64 (/.f64 1/2 z) (/.f64 2 y))))
(*.f64 (/.f64 1/2 y) (/.f64 (+.f64 x x) (/.f64 z y)))
(*.f64 (/.f64 1/2 y) (/.f64 y (/.f64 z (+.f64 x x))))
(.f64 (/.f64 1/2 y) (/.f64 y (.f64 z (/.f64 1/2 x))))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z x) (+.f64 y y)))
(.f64 1/2 (.f64 2 (/.f64 x (/.f64 y (/.f64 y z)))))
(/.f64 x z)
(.f64 1/2 (/.f64 (+.f64 y y) (.f64 z (/.f64 y x))))
(*.f64 1/2 (/.f64 (+.f64 x x) z))
(.f64 (.f64 (/.f64 x y) (/.f64 1/2 z)) (+.f64 y y))
(/.f64 x z)
(.f64 (.f64 (/.f64 x y) (/.f64 1/2 z)) (/.f64 1 (/.f64 1/2 y)))
(/.f64 x z)
(.f64 (.f64 (/.f64 x y) (/.f64 1/2 z)) (/.f64 y 1/2))
(/.f64 x z)
(*.f64 (neg.f64 (+.f64 y y)) (/.f64 1 (/.f64 (neg.f64 (/.f64 y x)) (/.f64 1/2 z))))
(/.f64 x z)
(.f64 (neg.f64 (+.f64 y y)) (/.f64 1 (neg.f64 (.f64 (/.f64 y x) (+.f64 z z)))))
(/.f64 x z)
(.f64 (.f64 y (/.f64 1/2 z)) (*.f64 x (/.f64 2 y)))
(.f64 x (.f64 (/.f64 2 y) (*.f64 y (/.f64 1/2 z))))
(.f64 x (.f64 y (*.f64 (/.f64 1/2 z) (/.f64 2 y))))
(.f64 (.f64 1/2 (/.f64 x (/.f64 y (/.f64 y z)))) 2)
(/.f64 x z)
(*.f64 (/.f64 x y) (/.f64 y z))
(/.f64 x z)
(.f64 (.f64 2 (/.f64 x (/.f64 y (/.f64 y z)))) 1/2)
(/.f64 x z)
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 z y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z x) y))
(.f64 (/.f64 1/4 z) (/.f64 (+.f64 y y) (.f64 y (/.f64 1/2 x))))
(.f64 (.f64 4 (*.f64 y (/.f64 x y))) (/.f64 1/4 z))
(*.f64 (/.f64 (/.f64 x y) (/.f64 1/4 y)) (/.f64 1/4 z))
(.f64 (/.f64 (/.f64 1/4 z) (/.f64 y x)) (.f64 y 4))
(.f64 y (.f64 4 (/.f64 x (/.f64 y (/.f64 1/4 z)))))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(*.f64 (/.f64 (/.f64 1/4 z) (/.f64 y x)) (/.f64 (+.f64 y y) 1/2))
(.f64 y (.f64 4 (/.f64 x (/.f64 y (/.f64 1/4 z)))))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(.f64 (/.f64 1/2 z) (/.f64 y (.f64 y (/.f64 1/2 x))))
(/.f64 x z)
(*.f64 (/.f64 x (/.f64 y (/.f64 y z))) 1)
(/.f64 x z)
(*.f64 (/.f64 (/.f64 x y) z) y)
(/.f64 x z)
(.f64 (+.f64 (.f64 (/.f64 x y) (/.f64 1/2 z)) (*.f64 (/.f64 x y) (/.f64 1/2 z))) y)
(/.f64 x z)
(pow.f64 (/.f64 x (/.f64 y (/.f64 y z))) 1)
(/.f64 x z)

localize3.0ms (0%)

Compiler: Compiled 8 to 8 computations (0% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.5b	(/.f64 (/.f64 x y) (/.f64 z y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite167.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`exponential.json-3`
1324×	`rational.json-1`
1324×	`rational.json-2`
1324×	`rational.json-4`
1324×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	64	19
2	242	19
3	1075	7
4	4108	7

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) (/.f64 z y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/2 z)) (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (/.f64 y z) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x 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(/.f64 (*.f64 y (/.f64 x z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (/.f64 x (*.f64 z (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (*.f64 x (/.f64 1/2 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 x (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 x (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (+.f64 x x) (*.f64 y (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y z) 2) (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 z (/.f64 2 x))) (*.f64 y (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 z)) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y z) (+.f64 y y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (/.f64 y (*.f64 z (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 z) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 z) (/.f64 x (*.f64 y (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1/2 y)) (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 y z) 2) (/.f64 (/.f64 y z) 2)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (*.f64 z (/.f64 2 x))) (/.f64 1 (*.f64 z (/.f64 2 x)))) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 y z) (+.f64 y y)) (/.f64 (/.f64 y z) (+.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (/.f64 1/2 (/.f64 y (/.f64 x z)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 z)))))))

simplify806.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1326×	`rational.json-simplify-35`
1084×	`rational.json-simplify-43`
878×	`rational.json-simplify-2`
832×	`rational.json-simplify-49`
746×	`rational.json-simplify-57`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	979
1	571	961
2	1843	955
3	5099	949
4	7062	949

Stop Event

1×	node limit

Counts

127 → 102

Calls

Call 1

Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 0 (/.f64 x z))
(+.f64 (/.f64 x z) 0)
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(-.f64 0 (/.f64 x (neg.f64 z)))
(-.f64 (/.f64 x z) 0)
(*.f64 x (/.f64 (/.f64 y z) y))
(*.f64 x (/.f64 1 z))
(.f64 x (.f64 (/.f64 1 z) 1))
(.f64 y (/.f64 x (.f64 y z)))
(*.f64 (/.f64 x y) (/.f64 y z))
(*.f64 1 (/.f64 x z))
(*.f64 (+.f64 x x) (/.f64 (/.f64 y z) (+.f64 y y)))
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 y z) (+.f64 y y)) 1))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (/.f64 y z) y)))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 y z) 2) (/.f64 1 y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 y) (/.f64 y z)))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 y) (+.f64 z z)) y))
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 y (/.f64 x z))))
(.f64 (+.f64 y y) (.f64 (/.f64 x y) (/.f64 1/2 z)))
(.f64 (+.f64 y y) (.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) 1))
(.f64 (+.f64 y y) (.f64 (/.f64 1 (*.f64 z (/.f64 2 x))) (/.f64 1 y)))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 (/.f64 y z) 2))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 (/.f64 (/.f64 y z) 2) 1))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 1/2 (/.f64 y z)))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 (/.f64 1/2 z) y))
(.f64 (.f64 y (/.f64 x z)) (/.f64 1 y))
(.f64 2 (.f64 x (/.f64 1/2 z)))
(.f64 2 (/.f64 (/.f64 x y) (.f64 z (/.f64 2 y))))
(.f64 2 (/.f64 x (.f64 y (*.f64 z (/.f64 2 y)))))
(.f64 2 (/.f64 y (.f64 y (*.f64 z (/.f64 2 x)))))
(.f64 2 (.f64 (/.f64 1/2 z) x))
(.f64 2 (.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) y))
(.f64 2 (.f64 (*.f64 (/.f64 x y) (/.f64 1/2 z)) y))
(.f64 2 (.f64 (/.f64 (/.f64 y z) (+.f64 y y)) x))
(.f64 2 (.f64 (/.f64 (/.f64 y z) 2) (/.f64 x y)))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 y (/.f64 x z))))
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 z y) 4)))
(.f64 (/.f64 y (.f64 z (/.f64 1/2 x))) (/.f64 1/2 y))
(.f64 (.f64 x 4) (/.f64 1 (.f64 y (.f64 (/.f64 z y) 4))))
(.f64 (.f64 y 4) (/.f64 1 (.f64 y (/.f64 (.f64 z 4) x))))
(*.f64 (/.f64 (/.f64 y z) y) x)
(.f64 (/.f64 1 y) (.f64 y (/.f64 x z)))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (/.f64 z y) (neg.f64 y))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 (/.f64 z y)))))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (.f64 y (/.f64 z y)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (neg.f64 (/.f64 z y))))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 (neg.f64 z) y)))
(.f64 (.f64 x (neg.f64 (/.f64 y z))) (/.f64 1 (neg.f64 y)))
(.f64 (neg.f64 y) (/.f64 1 (.f64 (neg.f64 z) (/.f64 y x))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 y (/.f64 x z)))))
(*.f64 (/.f64 x z) 1)
(*.f64 (/.f64 x z) (/.f64 y y))
(*.f64 (/.f64 x z) (/.f64 1 (/.f64 y y)))
(.f64 (/.f64 x (.f64 y z)) y)
(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 y)))
(.f64 (.f64 x (/.f64 2 z)) 1/2)
(.f64 (.f64 x (/.f64 2 z)) (/.f64 1 (*.f64 y (/.f64 2 y))))
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 -1 (/.f64 x (neg.f64 z)))
(.f64 -1 (/.f64 x (.f64 (/.f64 z y) (neg.f64 y))))
(.f64 -1 (/.f64 x (.f64 y (neg.f64 (/.f64 z y)))))
(.f64 -1 (/.f64 x (neg.f64 (.f64 y (/.f64 z y)))))
(*.f64 -1 (/.f64 (/.f64 x y) (neg.f64 (/.f64 z y))))
(*.f64 -1 (/.f64 (/.f64 x y) (/.f64 (neg.f64 z) y)))
(.f64 -1 (/.f64 (.f64 y (/.f64 x z)) (neg.f64 y)))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x (*.f64 z (/.f64 2 y))))
(.f64 (.f64 2 (/.f64 1 y)) (.f64 (.f64 x (/.f64 1/2 z)) y))
(*.f64 (/.f64 1 z) x)
(.f64 (/.f64 1 z) (.f64 x (/.f64 y y)))
(*.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 y y)))
(.f64 (/.f64 1 z) (/.f64 (+.f64 x x) (.f64 y (/.f64 2 y))))
(*.f64 (/.f64 x (neg.f64 z)) -1)
(.f64 (/.f64 (/.f64 y z) 2) (.f64 x (/.f64 2 y)))
(.f64 (/.f64 1 (.f64 z (/.f64 2 x))) (*.f64 y (/.f64 2 y)))
(.f64 (.f64 y (/.f64 2 z)) (/.f64 x (+.f64 y y)))
(*.f64 (/.f64 (/.f64 y z) (+.f64 y y)) (+.f64 x x))
(*.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))
(.f64 (/.f64 1/2 y) (/.f64 y (.f64 z (/.f64 1/2 x))))
(.f64 1/2 (.f64 x (/.f64 2 z)))
(*.f64 (/.f64 2 z) (/.f64 x 2))
(.f64 (/.f64 2 z) (/.f64 x (.f64 y (/.f64 2 y))))
(.f64 (.f64 2 (/.f64 1/2 y)) (*.f64 y (/.f64 x z)))
(*.f64 (+.f64 (/.f64 (/.f64 y z) 2) (/.f64 (/.f64 y z) 2)) (/.f64 x y))
(.f64 (+.f64 (/.f64 1 (.f64 z (/.f64 2 x))) (/.f64 1 (*.f64 z (/.f64 2 x)))) (/.f64 y y))
(*.f64 (+.f64 (/.f64 (/.f64 y z) (+.f64 y y)) (/.f64 (/.f64 y z) (+.f64 y y))) x)
(*.f64 (+.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (/.f64 1/2 (/.f64 y (/.f64 x z)))) y)
(pow.f64 (/.f64 x z) 1)
(neg.f64 (/.f64 x (neg.f64 z)))

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 0 (/.f64 x z))
(/.f64 x z)
(+.f64 (/.f64 x z) 0)
(/.f64 x z)
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(/.f64 x z)
(-.f64 0 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(-.f64 (/.f64 x z) 0)
(/.f64 x z)
(*.f64 x (/.f64 (/.f64 y z) y))
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 x z)
(.f64 x (.f64 (/.f64 1 z) 1))
(/.f64 x z)
(.f64 y (/.f64 x (.f64 y z)))
(/.f64 x z)
(*.f64 (/.f64 x y) (/.f64 y z))
(/.f64 x z)
(*.f64 1 (/.f64 x z))
(/.f64 x z)
(*.f64 (+.f64 x x) (/.f64 (/.f64 y z) (+.f64 y y)))
(/.f64 x z)
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(/.f64 x z)
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 y z) (+.f64 y y)) 1))
(/.f64 x z)
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (/.f64 y z) y)))
(/.f64 x z)
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 y z) 2) (/.f64 1 y)))
(/.f64 x z)
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 y) (/.f64 y z)))
(/.f64 x z)
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 y) (+.f64 z z)) y))
(/.f64 x z)
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 y (/.f64 x z))))
(/.f64 x z)
(.f64 (+.f64 y y) (.f64 (/.f64 x y) (/.f64 1/2 z)))
(/.f64 x z)
(.f64 (+.f64 y y) (.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) 1))
(/.f64 x z)
(.f64 (+.f64 y y) (.f64 (/.f64 1 (*.f64 z (/.f64 2 x))) (/.f64 1 y)))
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 y)) (/.f64 (/.f64 y z) 2))
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 y)) (*.f64 (/.f64 (/.f64 y z) 2) 1))
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 y)) (*.f64 1/2 (/.f64 y z)))
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 y)) (*.f64 (/.f64 1/2 z) y))
(/.f64 x z)
(.f64 (.f64 y (/.f64 x z)) (/.f64 1 y))
(/.f64 x z)
(.f64 2 (.f64 x (/.f64 1/2 z)))
(/.f64 x z)
(.f64 2 (/.f64 (/.f64 x y) (.f64 z (/.f64 2 y))))
(/.f64 x z)
(.f64 2 (/.f64 x (.f64 y (*.f64 z (/.f64 2 y)))))
(/.f64 x z)
(.f64 2 (/.f64 y (.f64 y (*.f64 z (/.f64 2 x)))))
(/.f64 x z)
(.f64 2 (.f64 (/.f64 1/2 z) x))
(/.f64 x z)
(.f64 2 (.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) y))
(/.f64 x z)
(.f64 2 (.f64 (*.f64 (/.f64 x y) (/.f64 1/2 z)) y))
(/.f64 x z)
(.f64 2 (.f64 (/.f64 (/.f64 y z) (+.f64 y y)) x))
(/.f64 x z)
(.f64 2 (.f64 (/.f64 (/.f64 y z) 2) (/.f64 x y)))
(/.f64 x z)
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 y (/.f64 x z))))
(/.f64 x z)
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 z y) 4)))
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 4 (/.f64 z y))))
(.f64 (/.f64 x y) (.f64 4 (/.f64 1/4 (/.f64 z y))))
(.f64 (.f64 (/.f64 x y) 4) (/.f64 y (*.f64 z 4)))
(.f64 (.f64 (/.f64 x y) 4) (*.f64 y (/.f64 1/4 z)))
(.f64 (/.f64 y (.f64 z (/.f64 1/2 x))) (/.f64 1/2 y))
(/.f64 x z)
(.f64 (.f64 x 4) (/.f64 1 (.f64 y (.f64 (/.f64 z y) 4))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 y (.f64 4 (/.f64 z y)))))
(.f64 x (.f64 4 (/.f64 (/.f64 1 z) 4)))
(.f64 x (.f64 4 (*.f64 (/.f64 1 z) 1/4)))
(.f64 x (.f64 4 (/.f64 1/4 z)))
(.f64 (.f64 y 4) (/.f64 1 (.f64 y (/.f64 (.f64 z 4) x))))
(.f64 (.f64 y 4) (/.f64 (/.f64 1 y) (*.f64 z (/.f64 4 x))))
(.f64 (.f64 y 4) (/.f64 (/.f64 x (*.f64 z y)) 4))
(*.f64 (/.f64 (/.f64 y z) y) x)
(/.f64 x z)
(.f64 (/.f64 1 y) (.f64 y (/.f64 x z)))
(/.f64 x z)
(.f64 (neg.f64 x) (/.f64 1 (.f64 (/.f64 z y) (neg.f64 y))))
(/.f64 x z)
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 (/.f64 z y)))))
(/.f64 x z)
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (.f64 y (/.f64 z y)))))
(/.f64 x z)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 z)))
(/.f64 x z)
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (neg.f64 (/.f64 z y))))
(/.f64 x z)
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (/.f64 (neg.f64 z) y)))
(/.f64 x z)
(.f64 (.f64 x (neg.f64 (/.f64 y z))) (/.f64 1 (neg.f64 y)))
(/.f64 x z)
(.f64 (neg.f64 y) (/.f64 1 (.f64 (neg.f64 z) (/.f64 y x))))
(/.f64 x z)
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 y (/.f64 x z)))))
(/.f64 x z)
(*.f64 (/.f64 x z) 1)
(/.f64 x z)
(*.f64 (/.f64 x z) (/.f64 y y))
(/.f64 x z)
(*.f64 (/.f64 x z) (/.f64 1 (/.f64 y y)))
(/.f64 x z)
(.f64 (/.f64 x (.f64 y z)) y)
(/.f64 x z)
(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 y)))
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 z)) 1/2)
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 z)) (/.f64 1 (*.f64 y (/.f64 2 y))))
(/.f64 x z)
(*.f64 (/.f64 y z) (/.f64 x y))
(/.f64 x z)
(*.f64 -1 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(.f64 -1 (/.f64 x (.f64 (/.f64 z y) (neg.f64 y))))
(/.f64 x z)
(.f64 -1 (/.f64 x (.f64 y (neg.f64 (/.f64 z y)))))
(/.f64 x z)
(.f64 -1 (/.f64 x (neg.f64 (.f64 y (/.f64 z y)))))
(/.f64 x z)
(*.f64 -1 (/.f64 (/.f64 x y) (neg.f64 (/.f64 z y))))
(/.f64 x z)
(*.f64 -1 (/.f64 (/.f64 x y) (/.f64 (neg.f64 z) y)))
(/.f64 x z)
(.f64 -1 (/.f64 (.f64 y (/.f64 x z)) (neg.f64 y)))
(/.f64 x z)
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x (*.f64 z (/.f64 2 y))))
(/.f64 x z)
(.f64 (.f64 2 (/.f64 1 y)) (.f64 (.f64 x (/.f64 1/2 z)) y))
(/.f64 x z)
(*.f64 (/.f64 1 z) x)
(/.f64 x z)
(.f64 (/.f64 1 z) (.f64 x (/.f64 y y)))
(/.f64 x z)
(*.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))
(/.f64 x z)
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 y y)))
(/.f64 x z)
(.f64 (/.f64 1 z) (/.f64 (+.f64 x x) (.f64 y (/.f64 2 y))))
(/.f64 x z)
(*.f64 (/.f64 x (neg.f64 z)) -1)
(/.f64 x z)
(.f64 (/.f64 (/.f64 y z) 2) (.f64 x (/.f64 2 y)))
(/.f64 x z)
(.f64 (/.f64 1 (.f64 z (/.f64 2 x))) (*.f64 y (/.f64 2 y)))
(/.f64 x z)
(.f64 (.f64 y (/.f64 2 z)) (/.f64 x (+.f64 y y)))
(/.f64 x z)
(*.f64 (/.f64 (/.f64 y z) (+.f64 y y)) (+.f64 x x))
(/.f64 x z)
(*.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))
(/.f64 x z)
(.f64 (/.f64 1/2 y) (/.f64 y (.f64 z (/.f64 1/2 x))))
(/.f64 x z)
(.f64 1/2 (.f64 x (/.f64 2 z)))
(/.f64 x z)
(*.f64 (/.f64 2 z) (/.f64 x 2))
(/.f64 x z)
(.f64 (/.f64 2 z) (/.f64 x (.f64 y (/.f64 2 y))))
(/.f64 x z)
(.f64 (.f64 2 (/.f64 1/2 y)) (*.f64 y (/.f64 x z)))
(/.f64 x z)
(*.f64 (+.f64 (/.f64 (/.f64 y z) 2) (/.f64 (/.f64 y z) 2)) (/.f64 x y))
(/.f64 x z)
(.f64 (+.f64 (/.f64 1 (.f64 z (/.f64 2 x))) (/.f64 1 (*.f64 z (/.f64 2 x)))) (/.f64 y y))
(/.f64 x z)
(*.f64 (+.f64 (/.f64 (/.f64 y z) (+.f64 y y)) (/.f64 (/.f64 y z) (+.f64 y y))) x)
(/.f64 x z)
(*.f64 (+.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (/.f64 1/2 (/.f64 y (/.f64 x z)))) y)
(/.f64 x z)
(pow.f64 (/.f64 x z) 1)
(/.f64 x z)
(neg.f64 (/.f64 x (neg.f64 z)))
(/.f64 x z)

localize55.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (/.f64 (.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 z)))
✓	0.2b	(*.f64 (/.f64 1 y) (neg.f64 y))

Compiler

Compiled 40 to 20 computations (50% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`rational.json-simplify-35`
1314×	`rational.json-simplify-2`
1116×	`exponential.json-3`
1116×	`rational.json-1`
1116×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	106	38
2	288	38
3	997	30
4	3831	30

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (/.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 y (/.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (*.f64 2 (/.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 -2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 y (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) 2) (*.f64 (/.f64 1 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (neg.f64 (/.f64 y y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (*.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) (+.f64 (*.f64 2 (/.f64 1 (/.f64 -1 y))) (*.f64 2 (/.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 y y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (neg.f64 (/.f64 y y)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (*.f64 (neg.f64 (/.f64 y y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -4) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 (*.f64 y (/.f64 -2 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) 4) (*.f64 (/.f64 1 y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) -2) (*.f64 (/.f64 1 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) -2) (neg.f64 (*.f64 (/.f64 1 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y y) 4) (*.f64 2 (*.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (/.f64 -2 y)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 -1 y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 -1 y)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 1 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 -1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 -1 y)) (/.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 (/.f64 -1 y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 (/.f64 -1 y))) (*.f64 2 (/.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 (/.f64 1 y))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 (/.f64 1 y))) (*.f64 2 (/.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 (/.f64 -1 y))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 4 (/.f64 -1 y))) (*.f64 (+.f64 y y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 1 y) 4)) (+.f64 (*.f64 (/.f64 1 y) -4) (*.f64 (/.f64 1 y) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (*.f64 2 (*.f64 (*.f64 y (/.f64 -2 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (-.f64 0 (*.f64 (*.f64 y (/.f64 -2 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y (/.f64 -2 y)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 y y)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y -4)) (*.f64 (+.f64 y y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (/.f64 1 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (/.f64 1 y))) (neg.f64 (/.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (/.f64 -1 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (/.f64 -1 y))) (neg.f64 (/.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 y (/.f64 -2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (/.f64 1 y) 2)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (+.f64 y y)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (*.f64 y -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (/.f64 -1 y)) (+.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (/.f64 1 y)) (+.f64 y y)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 -1 y)) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 -1 y)) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 4 (/.f64 -1 y)) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (/.f64 -1 y))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 4 (/.f64 -1 y))) (neg.f64 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y 4)) (-.f64 0 (*.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 1 (/.f64 -1 y))) (*.f64 2 (/.f64 1 (/.f64 -1 y)))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 1 (/.f64 1 y))) (*.f64 2 (/.f64 1 (/.f64 1 y)))) (*.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 2 (/.f64 -1 y))) (*.f64 2 (/.f64 2 (/.f64 -1 y)))) (*.f64 (+.f64 y y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 4 (/.f64 -1 y))) (*.f64 2 (/.f64 4 (/.f64 -1 y)))) (*.f64 2 (*.f64 (+.f64 y y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 (/.f64 y y)) -4) (*.f64 (neg.f64 (/.f64 y y)) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 y (/.f64 -2 y))) (/.f64 1 (*.f64 y (/.f64 -2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 y) 2)) (/.f64 1 (*.f64 (/.f64 1 y) 2))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (*.f64 y -2)) (/.f64 1 (*.f64 y -2))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 y (+.f64 y y)) (/.f64 y (+.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 y (*.f64 y -2)) (/.f64 y (*.f64 y -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 1 (/.f64 -1 y)) (+.f64 y y)) (/.f64 (/.f64 1 (/.f64 -1 y)) (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 1 (/.f64 1 y))) (neg.f64 (/.f64 1 (/.f64 1 y)))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 1 (/.f64 1 y)) (+.f64 y y)) (/.f64 (/.f64 1 (/.f64 1 y)) (+.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 2 (/.f64 -1 y)) y) (/.f64 (/.f64 2 (/.f64 -1 y)) y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 2 (/.f64 -1 y)) 2) (/.f64 (/.f64 2 (/.f64 -1 y)) 2)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4 (/.f64 -1 y)) 2) (/.f64 (/.f64 4 (/.f64 -1 y)) 2)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 1 (/.f64 -1 y))) (neg.f64 (/.f64 1 (/.f64 -1 y)))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 2 (/.f64 -1 y))) (neg.f64 (/.f64 2 (/.f64 -1 y)))) (*.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (/.f64 4 (/.f64 -1 y))) (neg.f64 (/.f64 4 (/.f64 -1 y)))) (+.f64 (neg.f64 (*.f64 y 4)) (neg.f64 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y -4)) (neg.f64 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 1 (/.f64 -1 y)))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 1 (/.f64 1 y)))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 2 (/.f64 -1 y)))) (neg.f64 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 4 (/.f64 -1 y)))) (-.f64 0 (*.f64 (+.f64 y y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (*.f64 (/.f64 1 y) 2))) (-.f64 0 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (*.f64 y -2))) (-.f64 0 (*.f64 (/.f64 1 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 1 (/.f64 1 y)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 2 (/.f64 -1 y)) 2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 4 (/.f64 -1 y)) 2)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 1 (/.f64 -1 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 2 (/.f64 -1 y)))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 4 (/.f64 -1 y)))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y y))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 y (*.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 y (*.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 y (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 2 (*.f64 y (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (/.f64 y (*.f64 y z)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 2 (*.f64 2 (*.f64 y (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (/.f64 y (*.f64 y z)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 z)) (neg.f64 (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (*.f64 (/.f64 y (*.f64 y z)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (*.f64 y (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x (neg.f64 z)) (/.f64 x (neg.f64 z))) (*.f64 y (/.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x (*.f64 (/.f64 y (*.f64 y z)) 4))) (*.f64 2 (*.f64 x (*.f64 (/.f64 y (*.f64 y z)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x z) (/.f64 x z)) (*.f64 y (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (*.f64 z (*.f64 y (/.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (-.f64 0 (*.f64 2 (*.f64 y (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (neg.f64 z))) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y (*.f64 y z))) 1)))))

simplify152.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1702×	`rational.json-simplify-35`
1302×	`rational.json-simplify-2`
1184×	`rational.json-simplify-46`
1086×	`rational.json-simplify-51`
748×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	523
1	939	523
2	2943	523
3	5858	523

Stop Event

1×	node limit

Counts

175 → 129

Calls

Call 1

Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 (neg.f64 (/.f64 y y)) 0)
(+.f64 0 (neg.f64 (/.f64 y y)))
(+.f64 -1 (-.f64 1 (/.f64 y y)))
(-.f64 (neg.f64 (/.f64 y y)) 0)
(-.f64 0 (/.f64 y y))
(/.f64 1 (neg.f64 (/.f64 y y)))
(/.f64 y (neg.f64 y))
(/.f64 y (/.f64 1 (/.f64 -1 y)))
(/.f64 (/.f64 1 y) (/.f64 -1 y))
(/.f64 (neg.f64 y) y)
(/.f64 (neg.f64 y) (neg.f64 (/.f64 1 (/.f64 -1 y))))
(/.f64 (neg.f64 (/.f64 y y)) 1)
(/.f64 -1 (/.f64 y y))
(/.f64 2 (*.f64 y (/.f64 -2 y)))
(/.f64 (+.f64 y y) (*.f64 y -2))
(/.f64 (+.f64 y y) (*.f64 2 (/.f64 1 (/.f64 -1 y))))
(/.f64 (*.f64 y (/.f64 -2 y)) 2)
(/.f64 -2 (*.f64 y (/.f64 2 y)))
(/.f64 (.f64 (/.f64 1 y) 2) (.f64 (/.f64 1 y) -2))
(/.f64 4 (*.f64 (neg.f64 (/.f64 y y)) 4))
(/.f64 (.f64 y 4) (.f64 y -4))
(/.f64 (.f64 y 4) (+.f64 (.f64 2 (/.f64 1 (/.f64 -1 y))) (*.f64 2 (/.f64 1 (/.f64 -1 y)))))
(/.f64 (*.f64 (neg.f64 (/.f64 y y)) 4) 4)
(/.f64 (*.f64 y -2) (+.f64 y y))
(/.f64 (/.f64 y y) -1)
(/.f64 (/.f64 -1 y) (/.f64 1 y))
(/.f64 -4 (*.f64 (neg.f64 (/.f64 y y)) -4))
(/.f64 -4 (neg.f64 (*.f64 (neg.f64 (/.f64 y y)) 4)))
(/.f64 (.f64 y -4) (.f64 y 4))
(/.f64 8 (.f64 (.f64 y (/.f64 -2 y)) 4))
(/.f64 (.f64 (/.f64 1 y) 4) (.f64 (/.f64 1 y) -4))
(/.f64 (.f64 (/.f64 1 y) -2) (.f64 (/.f64 1 y) 2))
(/.f64 (.f64 (/.f64 1 y) -2) (neg.f64 (.f64 (/.f64 1 y) -2)))
(/.f64 (.f64 (+.f64 y y) 4) (.f64 2 (*.f64 y -4)))
(/.f64 (.f64 (.f64 y (/.f64 -2 y)) 4) 8)
(/.f64 (*.f64 y (/.f64 2 y)) -2)
(/.f64 (/.f64 2 (/.f64 -1 y)) (+.f64 y y))
(/.f64 (/.f64 4 (/.f64 -1 y)) (*.f64 y 4))
(/.f64 (/.f64 1 (/.f64 1 y)) (neg.f64 y))
(/.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 (/.f64 -1 y)))
(/.f64 (/.f64 1 (/.f64 -1 y)) y)
(/.f64 (/.f64 1 (/.f64 -1 y)) (/.f64 1 (/.f64 1 y)))
(/.f64 (*.f64 2 (/.f64 1 (/.f64 -1 y))) (+.f64 y y))
(/.f64 (.f64 2 (/.f64 1 (/.f64 -1 y))) (.f64 2 (/.f64 1 (/.f64 1 y))))
(/.f64 (.f64 2 (/.f64 1 (/.f64 1 y))) (.f64 y -2))
(/.f64 (.f64 2 (/.f64 1 (/.f64 1 y))) (.f64 2 (/.f64 1 (/.f64 -1 y))))
(/.f64 (.f64 2 (/.f64 2 (/.f64 -1 y))) (.f64 y 4))
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(/.f64 (.f64 2 (.f64 (/.f64 1 y) 4)) (+.f64 (.f64 (/.f64 1 y) -4) (.f64 (/.f64 1 y) -4)))
(/.f64 16 (.f64 2 (.f64 (*.f64 y (/.f64 -2 y)) 4)))
(/.f64 -8 (-.f64 0 (.f64 (.f64 y (/.f64 -2 y)) 4)))
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(/.f64 (*.f64 (neg.f64 (/.f64 y y)) -4) -4)
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(/.f64 (/.f64 1 (*.f64 y (/.f64 -2 y))) 1/2)
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(/.f64 (/.f64 1 (.f64 y -2)) (.f64 (/.f64 1 y) 1/2))
(/.f64 (/.f64 y (+.f64 y y)) -1/2)
(/.f64 (/.f64 y (*.f64 y -2)) 1/2)
(/.f64 (/.f64 (/.f64 1 (/.f64 -1 y)) (+.f64 y y)) 1/2)
(/.f64 (/.f64 (/.f64 1 (/.f64 1 y)) (+.f64 y y)) -1/2)
(/.f64 (/.f64 (/.f64 2 (/.f64 -1 y)) y) 2)
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(/.f64 (+.f64 (.f64 2 (/.f64 1 (/.f64 -1 y))) (.f64 2 (/.f64 1 (/.f64 -1 y)))) (*.f64 y 4))
(/.f64 (+.f64 (.f64 2 (/.f64 1 (/.f64 1 y))) (.f64 2 (/.f64 1 (/.f64 1 y)))) (*.f64 y -4))
(/.f64 (+.f64 (.f64 2 (/.f64 2 (/.f64 -1 y))) (.f64 2 (/.f64 2 (/.f64 -1 y)))) (*.f64 (+.f64 y y) 4))
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(pow.f64 (neg.f64 (/.f64 y y)) 1)
(neg.f64 (/.f64 y y))
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(/.f64 (+.f64 (/.f64 x z) (/.f64 x z)) (*.f64 y (/.f64 2 y)))
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(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 y y)))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y (/.f64 z y)))
(pow.f64 (.f64 x (/.f64 y (.f64 y z))) 1)

Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
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(/.f64 (+.f64 (/.f64 x (neg.f64 z)) (/.f64 x (neg.f64 z))) (*.f64 y (/.f64 -2 y)))
(/.f64 x z)
(/.f64 (+.f64 (.f64 2 (.f64 x (.f64 (/.f64 y (.f64 y z)) 4))) (.f64 2 (.f64 x (.f64 (/.f64 y (.f64 y z)) 4)))) 16)
(/.f64 x z)
(/.f64 (+.f64 (/.f64 x z) (/.f64 x z)) (*.f64 y (/.f64 2 y)))
(/.f64 x z)
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (.f64 z (.f64 y (/.f64 -2 y))))
(/.f64 x z)
(/.f64 (neg.f64 (+.f64 x x)) (-.f64 0 (.f64 2 (.f64 y (/.f64 z y)))))
(/.f64 x z)
(/.f64 (neg.f64 (/.f64 x (neg.f64 z))) (/.f64 y y))
(/.f64 x z)
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 y y)))
(/.f64 x z)
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y (/.f64 z y)))
(/.f64 x z)
(pow.f64 (.f64 x (/.f64 y (.f64 y z))) 1)
(/.f64 x z)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 x z) (/.f64 2 x))
✓	16.8b	(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite336.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`rational.json-simplify-35`
1632×	`rational.json-1`
1632×	`rational.json-2`
1632×	`rational.json-3`
1072×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	93	50
2	403	38
3	2378	26
4	7148	26

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(/.f64 (/.f64 x z) (/.f64 2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (/.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (/.f64 0 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (/.f64 0 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (/.f64 0 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (/.f64 0 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/2 z)) (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 x (*.f64 x (/.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (/.f64 1/2 z))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (/.f64 1/2 z))) (+.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 z x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) (*.f64 (/.f64 1 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 z) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 2 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x z)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 z) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 x z)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (/.f64 1/2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (/.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x (/.f64 1/2 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (/.f64 1/2 z)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (/.f64 1/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 x (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (/.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 z x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) (*.f64 1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 z)) (/.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (*.f64 2 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 z) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 2 x)) (*.f64 x (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 2 (/.f64 z x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/2 z))) 1)))))

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1224×	`rational.json-simplify-35`
920×	`rational.json-simplify-2`
816×	`rational.json-simplify-46`
728×	`rational.json-simplify-61`
656×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1338
1	216	1338
2	547	1338
3	1742	1338
4	5497	1338

Stop Event

1×	node limit

Counts

102 → 67

Calls

Call 1

Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(+.f64 (/.f64 x z) 0)
(+.f64 (/.f64 x z) (/.f64 0 x))
(+.f64 (/.f64 x z) (/.f64 0 (/.f64 2 x)))
(+.f64 (/.f64 x z) (/.f64 0 (*.f64 x 1/2)))
(+.f64 (/.f64 x z) (/.f64 0 (+.f64 x x)))
(+.f64 (/.f64 x z) (/.f64 0 (neg.f64 x)))
(+.f64 0 (/.f64 x z))
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(-.f64 (/.f64 x z) 0)
(-.f64 0 (neg.f64 (/.f64 x z)))
(*.f64 x (/.f64 1 z))
(*.f64 (/.f64 x z) 1)
(.f64 2 (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 2 x) (.f64 x (*.f64 x (/.f64 1/2 z))))
(.f64 (.f64 x (*.f64 x (/.f64 1/2 z))) (/.f64 2 x))
(.f64 (.f64 x (*.f64 x (/.f64 1/2 z))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 1/2 (.f64 x (/.f64 2 z)))
(.f64 (.f64 x 1/2) (/.f64 2 z))
(*.f64 1 (/.f64 x z))
(*.f64 (/.f64 x (/.f64 z x)) (/.f64 1 x))
(.f64 (.f64 x (/.f64 2 z)) 1/2)
(.f64 (.f64 x (/.f64 2 z)) (.f64 (/.f64 1 x) (.f64 x 1/2)))
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(.f64 (/.f64 2 z) (.f64 x 1/2))
(.f64 (.f64 x (.f64 x 1/2)) (/.f64 2 (.f64 x z)))
(*.f64 (/.f64 1 z) x)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 z x)))
(*.f64 (neg.f64 (/.f64 x z)) -1)
(.f64 (.f64 x (/.f64 1/2 z)) 2)
(.f64 (/.f64 2 (.f64 x z)) (.f64 x (.f64 x 1/2)))
(*.f64 (/.f64 1/2 z) (+.f64 x x))
(pow.f64 (/.f64 x z) 1)
(neg.f64 (neg.f64 (/.f64 x z)))
(+.f64 (.f64 x (.f64 x (/.f64 1/2 z))) 0)
(+.f64 0 (.f64 x (.f64 x (/.f64 1/2 z))))
(-.f64 (.f64 x (.f64 x (/.f64 1/2 z))) 0)
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 x z) (.f64 x 1/2))
(.f64 2 (.f64 (.f64 x (/.f64 1/2 z)) (.f64 x 1/2)))
(.f64 (.f64 x (*.f64 x (/.f64 1/2 z))) 1)
(*.f64 1/2 (/.f64 x (/.f64 z x)))
(.f64 (.f64 x 1/2) (/.f64 x z))
(.f64 1 (.f64 x (*.f64 x (/.f64 1/2 z))))
(*.f64 (/.f64 x (/.f64 z x)) 1/2)
(.f64 (.f64 x (/.f64 2 z)) (.f64 1/2 (.f64 x 1/2)))
(.f64 (.f64 x (/.f64 2 z)) (/.f64 1/2 (/.f64 2 x)))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 2 (/.f64 z x))))
(.f64 (/.f64 2 z) (.f64 (.f64 x 1/2) (.f64 x 1/2)))
(.f64 (.f64 x (*.f64 x 1/2)) (/.f64 1 z))
(.f64 (/.f64 1 z) (.f64 x (*.f64 x 1/2)))
(.f64 (.f64 x (/.f64 1/2 z)) x)
(.f64 (/.f64 1/2 (/.f64 2 x)) (.f64 x (/.f64 2 z)))
(.f64 (/.f64 1/2 (.f64 2 (/.f64 z x))) (+.f64 x x))
(pow.f64 (.f64 x (.f64 x (/.f64 1/2 z))) 1)

Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(*.f64 1/2 (/.f64 (pow.f64 x 2) z))
(+.f64 (/.f64 x z) 0)
(/.f64 x z)
(+.f64 (/.f64 x z) (/.f64 0 x))
(/.f64 x z)
(+.f64 (/.f64 x z) (/.f64 0 (/.f64 2 x)))
(/.f64 x z)
(+.f64 (/.f64 x z) (/.f64 0 (*.f64 x 1/2)))
(/.f64 x z)
(+.f64 (/.f64 x z) (/.f64 0 (+.f64 x x)))
(/.f64 x z)
(+.f64 (/.f64 x z) (/.f64 0 (neg.f64 x)))
(/.f64 x z)
(+.f64 0 (/.f64 x z))
(/.f64 x z)
(+.f64 (.f64 x (/.f64 1/2 z)) (.f64 x (/.f64 1/2 z)))
(/.f64 x z)
(-.f64 (/.f64 x z) 0)
(/.f64 x z)
(-.f64 0 (neg.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(*.f64 (/.f64 x z) 1)
(/.f64 x z)
(.f64 2 (.f64 x (/.f64 1/2 z)))
(/.f64 x z)
(.f64 (/.f64 2 x) (.f64 x (*.f64 x (/.f64 1/2 z))))
(/.f64 x z)
(.f64 (.f64 x (*.f64 x (/.f64 1/2 z))) (/.f64 2 x))
(/.f64 x z)
(.f64 (.f64 x (*.f64 x (/.f64 1/2 z))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 x z)
(.f64 1/2 (.f64 x (/.f64 2 z)))
(/.f64 x z)
(.f64 (.f64 x 1/2) (/.f64 2 z))
(/.f64 x z)
(*.f64 1 (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 x (/.f64 z x)) (/.f64 1 x))
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 z)) 1/2)
(/.f64 x z)
(.f64 (.f64 x (/.f64 2 z)) (.f64 (/.f64 1 x) (.f64 x 1/2)))
(/.f64 x z)
(*.f64 (+.f64 x x) (/.f64 1/2 z))
(/.f64 x z)
(.f64 (/.f64 2 z) (.f64 x 1/2))
(/.f64 x z)
(.f64 (.f64 x (.f64 x 1/2)) (/.f64 2 (.f64 x z)))
(.f64 x (.f64 (.f64 x 1/2) (/.f64 2 (.f64 x z))))
(.f64 x (.f64 x (.f64 1/2 (/.f64 2 (.f64 x z)))))
(*.f64 (/.f64 1 z) x)
(*.f64 x (/.f64 1 z))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 z x)))
(/.f64 x z)
(*.f64 (neg.f64 (/.f64 x z)) -1)
(/.f64 x z)
(.f64 (.f64 x (/.f64 1/2 z)) 2)
(/.f64 x z)
(.f64 (/.f64 2 (.f64 x z)) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 (.f64 x 1/2) (/.f64 2 (.f64 x z))))
(.f64 x (.f64 x (.f64 1/2 (/.f64 2 (.f64 x z)))))
(*.f64 (/.f64 1/2 z) (+.f64 x x))
(/.f64 x z)
(pow.f64 (/.f64 x z) 1)
(/.f64 x z)
(neg.f64 (neg.f64 (/.f64 x z)))
(/.f64 x z)
(+.f64 (.f64 x (.f64 x (/.f64 1/2 z))) 0)
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(+.f64 0 (.f64 x (.f64 x (/.f64 1/2 z))))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(-.f64 (.f64 x (.f64 x (/.f64 1/2 z))) 0)
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(.f64 (/.f64 x z) (.f64 x 1/2))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(.f64 2 (.f64 (.f64 x (/.f64 1/2 z)) (.f64 x 1/2)))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(.f64 (.f64 x (*.f64 x (/.f64 1/2 z))) 1)
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(*.f64 1/2 (/.f64 x (/.f64 z x)))
(.f64 (.f64 x 1/2) (/.f64 x z))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(.f64 1 (.f64 x (*.f64 x (/.f64 1/2 z))))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(*.f64 (/.f64 x (/.f64 z x)) 1/2)
(*.f64 1/2 (/.f64 x (/.f64 z x)))
(.f64 (.f64 x (/.f64 2 z)) (.f64 1/2 (.f64 x 1/2)))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(.f64 (.f64 x (/.f64 2 z)) (/.f64 1/2 (/.f64 2 x)))
(.f64 x (.f64 (/.f64 2 z) (/.f64 x 4)))
(.f64 (/.f64 2 z) (.f64 (/.f64 x 4) x))
(*.f64 x (/.f64 (/.f64 x 4) (/.f64 z 2)))
(*.f64 x (/.f64 (/.f64 1 z) (/.f64 2 x)))
(.f64 (+.f64 x x) (/.f64 1/2 (.f64 2 (/.f64 z x))))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(.f64 (/.f64 2 z) (.f64 (.f64 x 1/2) (.f64 x 1/2)))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(.f64 (.f64 x (*.f64 x 1/2)) (/.f64 1 z))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 1 z)))
(.f64 x (.f64 x (*.f64 1/2 (/.f64 1 z))))
(.f64 (/.f64 1 z) (.f64 1/2 (*.f64 x x)))
(.f64 (/.f64 1 z) (.f64 x (*.f64 x 1/2)))
(.f64 x (.f64 (*.f64 x 1/2) (/.f64 1 z)))
(.f64 x (.f64 x (*.f64 1/2 (/.f64 1 z))))
(.f64 (/.f64 1 z) (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 x (/.f64 1/2 z)) x)
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(.f64 (/.f64 1/2 (/.f64 2 x)) (.f64 x (/.f64 2 z)))
(.f64 x (.f64 (/.f64 2 z) (/.f64 x 4)))
(.f64 (/.f64 2 z) (.f64 (/.f64 x 4) x))
(*.f64 x (/.f64 (/.f64 x 4) (/.f64 z 2)))
(*.f64 x (/.f64 (/.f64 1 z) (/.f64 2 x)))
(.f64 (/.f64 1/2 (.f64 2 (/.f64 z x))) (+.f64 x x))
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))
(pow.f64 (.f64 x (.f64 x (/.f64 1/2 z))) 1)
(.f64 x (.f64 x (/.f64 1/2 z)))
(.f64 (/.f64 1/2 z) (.f64 x x))
(*.f64 x (/.f64 1/2 (/.f64 z x)))

eval117.0ms (0.7%)

Compiler: Compiled 6729 to 3783 computations (43.8% saved)

prune188.0ms (1.1%)

Pruning

44 alts after pruning (33 fresh and 11 done)

	Pruned	Kept	Total
New	518	14	532
Fresh	4	19	23
Picked	0	1	1
Done	2	10	12
Total	524	44	568

Error

Counts

568 → 44

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.8b	(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
	37.1b	(/.f64 (/.f64 (*.f64 y x) z) y)
✓	9.3b	(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
	46.3b	(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
✓	33.5b	(/.f64 (/.f64 x y) (/.f64 z y))
✓	29.1b	(/.f64 (/.f64 2 z) (/.f64 2 x))
	34.7b	(/.f64 (/.f64 1 y) (/.f64 (/.f64 z x) y))
	37.2b	(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
	36.7b	(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
	34.7b	(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z x) (+.f64 y y)))
✓	7.8b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
	36.0b	(/.f64 (.f64 y x) (.f64 y z))
	36.1b	(/.f64 x (/.f64 (*.f64 z z) z))
✓	2.2b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
✓	29.0b	(/.f64 x z)
	33.0b	(/.f64 2 (.f64 (/.f64 z y) (.f64 y (/.f64 2 x))))
	32.5b	(/.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 y y) (/.f64 1/2 z)) y)))
	37.2b	(/.f64 2 (.f64 (.f64 4 y) (.f64 z (.f64 (/.f64 2 y) (/.f64 1 (*.f64 x 4))))))
	29.9b	(/.f64 2 (*.f64 z (/.f64 (/.f64 2 y) (/.f64 x y))))
	35.1b	(/.f64 2 (.f64 z (.f64 (.f64 (/.f64 2 y) (/.f64 1/4 x)) (.f64 4 y))))
	29.2b	(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
	35.1b	(-.f64 (+.f64 -1 (/.f64 x z)) -1)
✓	45.8b	(+.f64 -1 1)
	29.7b	(*.f64 (/.f64 (/.f64 x y) z) y)
✓	2.6b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
	33.5b	(*.f64 (/.f64 y z) (/.f64 x y))
	31.6b	(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 y)))
	29.5b	(*.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))
	37.7b	(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
	28.1b	(*.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))
	47.1b	(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
	29.3b	(.f64 y (/.f64 1 (.f64 z (/.f64 y x))))
	31.6b	(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
	46.2b	(.f64 x (/.f64 (/.f64 (neg.f64 y) (/.f64 1/4 (/.f64 y z))) (.f64 y (*.f64 y -4))))
	32.9b	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 z y)))
	32.9b	(*.f64 x (/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2)))
	36.1b	(.f64 x (/.f64 (.f64 z 4) (.f64 4 (.f64 z z))))
✓	8.1b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	29.1b	(*.f64 x (/.f64 1 z))
	35.5b	(*.f64 x (+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y)))))
	40.5b	(.f64 x (.f64 (*.f64 (+.f64 y y) (/.f64 (/.f64 (/.f64 1/4 y) y) z)) (+.f64 y y)))
	40.3b	(.f64 x (.f64 (.f64 (+.f64 y y) (.f64 (/.f64 2 (.f64 y (.f64 y 4))) (/.f64 1/2 z))) (+.f64 y y)))
	39.7b	(.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))
	45.8b	(.f64 x (.f64 (.f64 y y) (/.f64 8 (/.f64 (.f64 z y) (/.f64 1/8 y)))))

Compiler

Compiled 585 to 396 computations (32.3% saved)

regimes785.0ms (4.5%)

Counts

62 → 3

Calls

Call 1

Inputs
(+.f64 -1 1)
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 y (.f64 y z)))
(*.f64 x (/.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) z) y)
(-.f64 (+.f64 -1 (/.f64 x z)) -1)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (.f64 y x) (.f64 y z))
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 x (neg.f64 (/.f64 (/.f64 y z) (neg.f64 y))))
(*.f64 x (/.f64 (/.f64 1 y) (/.f64 z y)))
(.f64 y (/.f64 1 (.f64 z (/.f64 y x))))
(*.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
(.f64 x (.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y)))
(.f64 x (/.f64 (.f64 z 4) (.f64 4 (.f64 z z))))
(.f64 x (/.f64 (.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 z)))
(*.f64 x (/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2)))
(.f64 x (/.f64 (/.f64 1/2 (/.f64 1/2 y)) (.f64 y z)))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(*.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 y)))
(/.f64 2 (*.f64 z (/.f64 (/.f64 2 y) (/.f64 x y))))
(/.f64 2 (.f64 (/.f64 z y) (.f64 y (/.f64 2 x))))
(/.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))
(/.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z x) (+.f64 y y)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(*.f64 x (+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y)))))
(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
(.f64 x (.f64 (.f64 y y) (/.f64 8 (/.f64 (.f64 z y) (/.f64 1/8 y)))))
(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
(/.f64 2 (.f64 z (.f64 (.f64 (/.f64 2 y) (/.f64 1/4 x)) (.f64 4 y))))
(/.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 y y) (/.f64 1/2 z)) y)))
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 z x) (/.f64 2 x))))
(/.f64 (/.f64 z (.f64 (.f64 x 1/2) z)) (*.f64 (/.f64 z x) (/.f64 2 x)))
(.f64 x (/.f64 (/.f64 (neg.f64 y) (/.f64 1/4 (/.f64 y z))) (.f64 y (*.f64 y -4))))
(.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))
(.f64 x (.f64 (*.f64 (+.f64 y y) (/.f64 (/.f64 (/.f64 1/4 y) y) z)) (+.f64 y y)))
(/.f64 2 (.f64 (.f64 4 y) (.f64 z (.f64 (/.f64 2 y) (/.f64 1 (*.f64 x 4))))))
(.f64 x (.f64 (.f64 (+.f64 y y) (.f64 (/.f64 2 (.f64 y (.f64 y 4))) (/.f64 1/2 z))) (+.f64 y y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))

Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

Calls

6 calls:

288.0ms	x
156.0ms	(/.f64 (sin.f64 y) y)
107.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
100.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
92.0ms	z

Results

Error	Segments	Branch
1.1b	2	`x`
2.2b	1	`y`
1.0b	2	`z`
0.1b	3	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
0.9b	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
1.0b	3	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 669 to 332 computations (50.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.013128670444407e-175	1.1073046561606625e-159
0.0ms	-4.169486334839907e+133	-1.9783788792851548e+132

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes1.1s (6.6%)

Counts

59 → 2

Calls

Call 1

Inputs
(+.f64 -1 1)
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 y (.f64 y z)))
(*.f64 x (/.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) z) y)
(-.f64 (+.f64 -1 (/.f64 x z)) -1)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (.f64 y x) (.f64 y z))
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 x (neg.f64 (/.f64 (/.f64 y z) (neg.f64 y))))
(*.f64 x (/.f64 (/.f64 1 y) (/.f64 z y)))
(.f64 y (/.f64 1 (.f64 z (/.f64 y x))))
(*.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
(.f64 x (.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y)))
(.f64 x (/.f64 (.f64 z 4) (.f64 4 (.f64 z z))))
(.f64 x (/.f64 (.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 z)))
(*.f64 x (/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2)))
(.f64 x (/.f64 (/.f64 1/2 (/.f64 1/2 y)) (.f64 y z)))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(*.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 y)))
(/.f64 2 (*.f64 z (/.f64 (/.f64 2 y) (/.f64 x y))))
(/.f64 2 (.f64 (/.f64 z y) (.f64 y (/.f64 2 x))))
(/.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))
(/.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z x) (+.f64 y y)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(*.f64 x (+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y)))))
(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
(.f64 x (.f64 (.f64 y y) (/.f64 8 (/.f64 (.f64 z y) (/.f64 1/8 y)))))
(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
(/.f64 2 (.f64 z (.f64 (.f64 (/.f64 2 y) (/.f64 1/4 x)) (.f64 4 y))))
(/.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 y y) (/.f64 1/2 z)) y)))
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 z x) (/.f64 2 x))))
(/.f64 (/.f64 z (.f64 (.f64 x 1/2) z)) (*.f64 (/.f64 z x) (/.f64 2 x)))
(.f64 x (/.f64 (/.f64 (neg.f64 y) (/.f64 1/4 (/.f64 y z))) (.f64 y (*.f64 y -4))))
(.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))
(.f64 x (.f64 (*.f64 (+.f64 y y) (/.f64 (/.f64 (/.f64 1/4 y) y) z)) (+.f64 y y)))
(/.f64 2 (.f64 (.f64 4 y) (.f64 z (.f64 (/.f64 2 y) (/.f64 1 (*.f64 x 4))))))
(.f64 x (.f64 (.f64 (+.f64 y y) (.f64 (/.f64 2 (.f64 y (.f64 y 4))) (/.f64 1/2 z))) (+.f64 y y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

Outputs
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Calls

4 calls:

611.0ms	x
106.0ms	y
51.0ms	z
21.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
2.2b	1	`x`
2.2b	1	`y`
1.0b	2	`z`
2.2b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 625 to 313 computations (49.9% saved)

bsearch43.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	4.937223234791965e-109	5.098964638563625e-91

Results

14.0ms	104×	body	256	valid
13.0ms	34×	body	1024	valid
5.0ms	22×	body	512	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 257 to 172 computations (33.1% saved)

regimes368.0ms (2.1%)

Counts

58 → 1

Calls

Call 1

Inputs
(+.f64 -1 1)
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 y (.f64 y z)))
(*.f64 x (/.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) z) y)
(-.f64 (+.f64 -1 (/.f64 x z)) -1)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (.f64 y x) (.f64 y z))
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 x (neg.f64 (/.f64 (/.f64 y z) (neg.f64 y))))
(*.f64 x (/.f64 (/.f64 1 y) (/.f64 z y)))
(.f64 y (/.f64 1 (.f64 z (/.f64 y x))))
(*.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
(.f64 x (.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y)))
(.f64 x (/.f64 (.f64 z 4) (.f64 4 (.f64 z z))))
(.f64 x (/.f64 (.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 z)))
(*.f64 x (/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2)))
(.f64 x (/.f64 (/.f64 1/2 (/.f64 1/2 y)) (.f64 y z)))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(*.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 y)))
(/.f64 2 (*.f64 z (/.f64 (/.f64 2 y) (/.f64 x y))))
(/.f64 2 (.f64 (/.f64 z y) (.f64 y (/.f64 2 x))))
(/.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))
(/.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z x) (+.f64 y y)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(*.f64 x (+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y)))))
(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
(.f64 x (.f64 (.f64 y y) (/.f64 8 (/.f64 (.f64 z y) (/.f64 1/8 y)))))
(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
(/.f64 2 (.f64 z (.f64 (.f64 (/.f64 2 y) (/.f64 1/4 x)) (.f64 4 y))))
(/.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 y y) (/.f64 1/2 z)) y)))
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 z x) (/.f64 2 x))))
(/.f64 (/.f64 z (.f64 (.f64 x 1/2) z)) (*.f64 (/.f64 z x) (/.f64 2 x)))
(.f64 x (/.f64 (/.f64 (neg.f64 y) (/.f64 1/4 (/.f64 y z))) (.f64 y (*.f64 y -4))))
(.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))
(.f64 x (.f64 (*.f64 (+.f64 y y) (/.f64 (/.f64 (/.f64 1/4 y) y) z)) (+.f64 y y)))
(/.f64 2 (.f64 (.f64 4 y) (.f64 z (.f64 (/.f64 2 y) (/.f64 1 (*.f64 x 4))))))
(.f64 x (.f64 (.f64 (+.f64 y y) (.f64 (/.f64 2 (.f64 y (.f64 y 4))) (/.f64 1/2 z))) (+.f64 y y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Outputs
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Calls

4 calls:

184.0ms	y
121.0ms	z
27.0ms	x
21.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
2.6b	1	`x`
2.6b	1	`y`
2.6b	1	`z`
2.6b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 617 to 311 computations (49.6% saved)

regimes544.0ms (3.1%)

Counts

57 → 3

Calls

Call 1

Inputs
(+.f64 -1 1)
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 y (.f64 y z)))
(*.f64 x (/.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) z) y)
(-.f64 (+.f64 -1 (/.f64 x z)) -1)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (.f64 y x) (.f64 y z))
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 x (neg.f64 (/.f64 (/.f64 y z) (neg.f64 y))))
(*.f64 x (/.f64 (/.f64 1 y) (/.f64 z y)))
(.f64 y (/.f64 1 (.f64 z (/.f64 y x))))
(*.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
(.f64 x (.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y)))
(.f64 x (/.f64 (.f64 z 4) (.f64 4 (.f64 z z))))
(.f64 x (/.f64 (.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 z)))
(*.f64 x (/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2)))
(.f64 x (/.f64 (/.f64 1/2 (/.f64 1/2 y)) (.f64 y z)))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(*.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 y)))
(/.f64 2 (*.f64 z (/.f64 (/.f64 2 y) (/.f64 x y))))
(/.f64 2 (.f64 (/.f64 z y) (.f64 y (/.f64 2 x))))
(/.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))
(/.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z x) (+.f64 y y)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(*.f64 x (+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y)))))
(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
(.f64 x (.f64 (.f64 y y) (/.f64 8 (/.f64 (.f64 z y) (/.f64 1/8 y)))))
(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
(/.f64 2 (.f64 z (.f64 (.f64 (/.f64 2 y) (/.f64 1/4 x)) (.f64 4 y))))
(/.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 y y) (/.f64 1/2 z)) y)))
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 z x) (/.f64 2 x))))
(/.f64 (/.f64 z (.f64 (.f64 x 1/2) z)) (*.f64 (/.f64 z x) (/.f64 2 x)))
(.f64 x (/.f64 (/.f64 (neg.f64 y) (/.f64 1/4 (/.f64 y z))) (.f64 y (*.f64 y -4))))
(.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))
(.f64 x (.f64 (*.f64 (+.f64 y y) (/.f64 (/.f64 (/.f64 1/4 y) y) z)) (+.f64 y y)))
(/.f64 2 (.f64 (.f64 4 y) (.f64 z (.f64 (/.f64 2 y) (/.f64 1 (*.f64 x 4))))))
(.f64 x (.f64 (.f64 (+.f64 y y) (.f64 (/.f64 2 (.f64 y (.f64 y 4))) (/.f64 1/2 z))) (+.f64 y y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))

Outputs
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(/.f64 x z)
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))

Calls

3 calls:

422.0ms	y
85.0ms	z
25.0ms	x

Results

Error	Segments	Branch
8.1b	1	`x`
2.2b	3	`y`
8.1b	1	`z`

Compiler

Compiled 602 to 304 computations (49.5% saved)

bsearch155.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	4.039824035569267e-32	9.554703872314298e-27
71.0ms	-193918.5211014977	-0.1262899260339912

Results

150.0ms	288×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 359 to 246 computations (31.5% saved)

regimes1.6s (9.2%)

Counts

56 → 3

Calls

Call 1

Inputs
(+.f64 -1 1)
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 y (.f64 y z)))
(*.f64 x (/.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) z) y)
(-.f64 (+.f64 -1 (/.f64 x z)) -1)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (.f64 y x) (.f64 y z))
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 x (neg.f64 (/.f64 (/.f64 y z) (neg.f64 y))))
(*.f64 x (/.f64 (/.f64 1 y) (/.f64 z y)))
(.f64 y (/.f64 1 (.f64 z (/.f64 y x))))
(*.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
(.f64 x (.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y)))
(.f64 x (/.f64 (.f64 z 4) (.f64 4 (.f64 z z))))
(.f64 x (/.f64 (.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 z)))
(*.f64 x (/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2)))
(.f64 x (/.f64 (/.f64 1/2 (/.f64 1/2 y)) (.f64 y z)))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(*.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 y)))
(/.f64 2 (*.f64 z (/.f64 (/.f64 2 y) (/.f64 x y))))
(/.f64 2 (.f64 (/.f64 z y) (.f64 y (/.f64 2 x))))
(/.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))
(/.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z x) (+.f64 y y)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(*.f64 x (+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y)))))
(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
(.f64 x (.f64 (.f64 y y) (/.f64 8 (/.f64 (.f64 z y) (/.f64 1/8 y)))))
(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
(/.f64 2 (.f64 z (.f64 (.f64 (/.f64 2 y) (/.f64 1/4 x)) (.f64 4 y))))
(/.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 y y) (/.f64 1/2 z)) y)))
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 z x) (/.f64 2 x))))
(/.f64 (/.f64 z (.f64 (.f64 x 1/2) z)) (*.f64 (/.f64 z x) (/.f64 2 x)))
(.f64 x (/.f64 (/.f64 (neg.f64 y) (/.f64 1/4 (/.f64 y z))) (.f64 y (*.f64 y -4))))
(.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))
(.f64 x (.f64 (*.f64 (+.f64 y y) (/.f64 (/.f64 (/.f64 1/4 y) y) z)) (+.f64 y y)))
(/.f64 2 (.f64 (.f64 4 y) (.f64 z (.f64 (/.f64 2 y) (/.f64 1 (*.f64 x 4))))))
(.f64 x (.f64 (.f64 (+.f64 y y) (.f64 (/.f64 2 (.f64 y (.f64 y 4))) (/.f64 1/2 z))) (+.f64 y y)))

Outputs
(+.f64 -1 1)
(/.f64 x z)
(.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))

Calls

3 calls:

1.3s	z
189.0ms	y
114.0ms	x

Results

Error	Segments	Branch
24.6b	3	`x`
22.7b	3	`y`
24.8b	3	`z`

Compiler

Compiled 594 to 301 computations (49.3% saved)

bsearch86.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	2.525870107688767e+106	3.61206490285325e+107
65.0ms	-19160431227.88957	-193918.5211014977

Results

67.0ms	172×	body	256	valid
16.0ms	68×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 311 to 234 computations (24.8% saved)

regimes495.0ms (2.8%)

Accuracy

Total -40.7b remaining (-178.9%)

Threshold costs -40.7b (-178.9%)

Counts

52 → 3

Calls

Call 1

Inputs
(+.f64 -1 1)
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 y (.f64 y z)))
(*.f64 x (/.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) z) y)
(-.f64 (+.f64 -1 (/.f64 x z)) -1)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (.f64 y x) (.f64 y z))
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 x (neg.f64 (/.f64 (/.f64 y z) (neg.f64 y))))
(*.f64 x (/.f64 (/.f64 1 y) (/.f64 z y)))
(.f64 y (/.f64 1 (.f64 z (/.f64 y x))))
(*.f64 (/.f64 1 z) (/.f64 y (/.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 z (*.f64 y x)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z y) x))
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 1 y))
(.f64 x (.f64 (/.f64 (/.f64 1/2 y) z) (+.f64 y y)))
(.f64 x (/.f64 (.f64 z 4) (.f64 4 (.f64 z z))))
(.f64 x (/.f64 (.f64 (/.f64 1 y) (neg.f64 y)) (neg.f64 z)))
(*.f64 x (/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z y) 2)))
(.f64 x (/.f64 (/.f64 1/2 (/.f64 1/2 y)) (.f64 y z)))
(.f64 y (.f64 4 (/.f64 x (/.f64 z (/.f64 1/4 y)))))
(*.f64 (/.f64 1/2 (/.f64 y (/.f64 x z))) (+.f64 y y))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 y)))
(/.f64 2 (*.f64 z (/.f64 (/.f64 2 y) (/.f64 x y))))
(/.f64 2 (.f64 (/.f64 z y) (.f64 y (/.f64 2 x))))
(/.f64 (*.f64 y (/.f64 2 z)) (/.f64 (+.f64 y y) x))
(/.f64 (/.f64 1/2 y) (/.f64 z (*.f64 y (+.f64 x x))))
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 z x) (+.f64 y y)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(*.f64 x (+.f64 -1 (-.f64 1 (/.f64 (/.f64 y z) (neg.f64 y)))))
(/.f64 2 (/.f64 (.f64 (.f64 z 4) (/.f64 y x)) (+.f64 y y)))
(/.f64 (/.f64 1/2 (.f64 y z)) (/.f64 1 (.f64 y (+.f64 x x))))
(.f64 x (.f64 (.f64 y y) (/.f64 8 (/.f64 (.f64 z y) (/.f64 1/8 y)))))
(.f64 (.f64 (.f64 x (/.f64 (/.f64 x z) z)) 1/2) (.f64 z (/.f64 2 x)))
(/.f64 2 (.f64 z (.f64 (.f64 (/.f64 2 y) (/.f64 1/4 x)) (.f64 4 y))))
(/.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 y y) (/.f64 1/2 z)) y)))
(/.f64 (/.f64 z (.f64 x 1/2)) (.f64 z (*.f64 (/.f64 z x) (/.f64 2 x))))
(/.f64 (/.f64 z (.f64 (.f64 x 1/2) z)) (*.f64 (/.f64 z x) (/.f64 2 x)))
(.f64 x (/.f64 (/.f64 (neg.f64 y) (/.f64 1/4 (/.f64 y z))) (.f64 y (*.f64 y -4))))

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

Calls

3 calls:

240.0ms	z
127.0ms	y
117.0ms	x

Results

Error	Segments	Branch
24.6b	3	`x`
22.7b	3	`y`
24.8b	3	`z`

Compiler

Compiled 522 to 262 computations (49.8% saved)

bsearch43.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.525870107688767e+106	3.61206490285325e+107
22.0ms	-19160431227.88957	-193918.5211014977

Results

26.0ms	182×	body	256	valid
13.0ms	58×	body	512	valid
1.0ms	4×	body	256	infinite
0.0ms	2×	body	512	infinite

Compiler

Compiled 227 to 192 computations (15.4% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	383

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) -40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) 891101683129335/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))))
(if (<=.f64 z 481634709357915/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(if (<=.f64 y -1170935903116329/9007199254740992) (.f64 x (/.f64 (sin.f64 y) (.f64 y z))) (if (<=.f64 y 6620533730813779/696898287454081973172991196020261297061888) (/.f64 x z) (.f64 x (/.f64 (sin.f64 y) (.f64 y z)))))
(if (<=.f64 y -860000) (+.f64 -1 1) (if (<=.f64 y 26000000000000001959528780042682093018282666192687018275724510441399097400685378924724608300940850458787840) (/.f64 x z) (.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))))
(if (<=.f64 y -860000) (+.f64 -1 1) (if (<=.f64 y 26000000000000001959528780042682093018282666192687018275724510441399097400685378924724608300940850458787840) (/.f64 x z) (+.f64 -1 1)))
(+.f64 -1 1)

Outputs
(if (<=.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) -40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) 891101683129335/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))))
(if (<=.f64 z 481634709357915/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(if (<=.f64 y -1170935903116329/9007199254740992) (.f64 x (/.f64 (sin.f64 y) (.f64 y z))) (if (<=.f64 y 6620533730813779/696898287454081973172991196020261297061888) (/.f64 x z) (.f64 x (/.f64 (sin.f64 y) (.f64 y z)))))
(if (<=.f64 y -860000) (+.f64 -1 1) (if (<=.f64 y 26000000000000001959528780042682093018282666192687018275724510441399097400685378924724608300940850458787840) (/.f64 x z) (.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))))
(if (<=.f64 y -860000) 0 (if (<=.f64 y 26000000000000001959528780042682093018282666192687018275724510441399097400685378924724608300940850458787840) (/.f64 x z) (.f64 x (.f64 (.f64 y (.f64 4 (/.f64 1/8 (.f64 z (.f64 y y))))) (+.f64 y y)))))
(if (<=.f64 y -860000) (+.f64 -1 1) (if (<=.f64 y 26000000000000001959528780042682093018282666192687018275724510441399097400685378924724608300940850458787840) (/.f64 x z) (+.f64 -1 1)))
(if (<=.f64 y -860000) 0 (if (<=.f64 y 26000000000000001959528780042682093018282666192687018275724510441399097400685378924724608300940850458787840) (/.f64 x z) 0))
(+.f64 -1 1)
0

Compiler

Compiled 165 to 87 computations (47.3% saved)

soundness301.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1568×	`rational.json-simplify-43`
1568×	`rational.json-simplify-43`
1004×	`rational.json-simplify-35`
1004×	`rational.json-simplify-35`
970×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	23	23
2	39	23
3	79	23
4	168	23
5	356	23
6	814	23
7	1334	23
8	2611	23
9	5352	23
10	7176	23
11	7954	23
0	10	23
1	23	23
2	39	23
3	79	23
4	168	23
5	356	23
6	814	23
7	1334	23
8	2611	23
9	5352	23
10	7176	23
11	7954	23

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 38 to 18 computations (52.6% saved)

end97.0ms (0.6%)

Compiler: Compiled 147 to 55 computations (62.6% saved)