Details

analyze820.0ms (4.3%)

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)

sample2.4s (12.6%)

Results

1.1s	1392×	body	1024	valid
991.0ms	6044×	body	256	valid
193.0ms	817×	body	512	valid
85.0ms	658×	body	256	infinite
12.0ms	52×	body	512	infinite
9.0ms	25×	body	1024	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess75.0ms (0.4%)

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)

simplify112.0ms (0.6%)

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

5 alts after pruning (5 fresh and 0 done)

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

Error

0.0b

Counts

5 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
▶	3.7b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
▶	3.3b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
▶	9.8b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.2b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	6.7b	(/.f64 (sin.f64 y) (*.f64 y z))

Compiler

Compiled 25 to 7 computations (72% saved)

series11.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

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

rewrite86.0ms (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	40
1	73	40
2	202	40
3	607	40
4	2062	40
5	5419	40

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

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)))))) (#(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)))))

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)))))) (#(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)))))

simplify175.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1592×	`rational.json-simplify-51`
1212×	`rational.json-simplify-50`
786×	`rational.json-simplify-49`
776×	`rational.json-simplify-2`
756×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	272	3599
1	792	3559
2	2275	3535
3	4104	3511
4	6886	3505

Stop Event

1×	node limit

Counts

145 → 173

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))
(+.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)

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	3.2b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series2.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite224.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2004×	`rational.json-1`
2004×	`rational.json-2`
1638×	`rational.json-simplify-35`
908×	`exponential.json-3`
908×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	77	51
2	237	51
3	744	51
4	2643	51
5	7006	51

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

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

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1758×	`rational.json-simplify-51`
1434×	`rational.json-simplify-61`
1140×	`rational.json-simplify-49`
994×	`rational.json-simplify-2`
768×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	343	4837
1	894	4785
2	2447	4779
3	5755	4755

Stop Event

1×	node limit

Counts

219 → 233

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	3.4b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite135.0ms (0.7%)

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	23
1	73	23
2	201	23
3	525	23
4	1641	23
5	4536	23

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

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

Outputs

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

simplify331.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational.json-simplify-43`
1284×	`rational.json-simplify-50`
1258×	`rational.json-simplify-35`
764×	`rational.json-simplify-51`
692×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	335	3929
1	1314	3917
2	4568	3917
3	6800	3917

Stop Event

1×	node limit

Counts

159 → 152

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 (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)

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	0.1b	(/.f64 (sin.f64 y) y)
✓	2.2b	(/.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	y	@	0	(*.f64 x (/.f64 (sin.f64 y) y))
0.0ms	x	@	inf	(*.f64 x (/.f64 (sin.f64 y) y))
0.0ms	y	@	-inf	(*.f64 x (/.f64 (sin.f64 y) y))
0.0ms	x	@	0	(*.f64 x (/.f64 (sin.f64 y) y))
0.0ms	x	@	-inf	(*.f64 x (/.f64 (sin.f64 y) y))

rewrite103.0ms (0.5%)

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 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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)))))))

simplify151.0ms (0.8%)

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)))
(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
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(*.f64 (sin.f64 y) (/.f64 x y))
(/.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))

eval781.0ms (4.1%)

Compiler: Compiled 11055 to 5099 computations (53.9% saved)

prune459.0ms (2.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	805	7	812
Fresh	0	0	0
Picked	0	1	1
Done	2	1	3
Total	807	9	816

Error

Counts

816 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.3b	(/.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 x))
	9.4b	(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
▶	10.0b	(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
✓	2.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
▶	31.0b	(/.f64 x z)
▶	12.3b	(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
✓	3.3b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
▶	31.1b	(*.f64 x (/.f64 1 z))
	10.3b	(.f64 x (.f64 (/.f64 (/.f64 1 z) y) (sin.f64 y)))

Compiler

Compiled 168 to 112 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
	0.1b	(/.f64 (sin.f64 y) y)
✓	3.3b	(/.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 x))

Compiler

Compiled 32 to 12 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`exponential.json-3`
1532×	`rational.json-1`
1532×	`rational.json-2`
1532×	`rational.json-4`
1532×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	107	23
2	391	23
3	1657	23
4	4980	23

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational.json-simplify-51`
1058×	`rational.json-simplify-35`
1028×	`rational.json-simplify-2`
822×	`rational.json-simplify-44`
812×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	148	2117
1	352	2117
2	780	2117
3	1900	2105
4	5491	2099

Stop Event

1×	node limit

Counts

87 → 72

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

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

localize3.0ms (0%)

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

localize5.0ms (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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite188.0ms (1%)

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))))))

simplify104.0ms (0.5%)

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)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.3b	(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
✓	6.5b	(/.f64 x (*.f64 z y))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`rational.json-1`
1612×	`rational.json-2`
1612×	`rational.json-4`
1612×	`rational.json-3`
1600×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	73	36
2	202	36
3	602	36
4	2034	36
5	5529	36

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-50`
1040×	`rational.json-simplify-49`
842×	`rational.json-simplify-46`
814×	`rational.json-simplify-2`
796×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	3598
1	766	3562
2	2312	3528
3	4592	3512
4	6557	3512

Stop Event

1×	node limit

Counts

176 → 147

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 z (sin.f64 y))
✓	9.7b	(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

15 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`exponential.json-3`
1414×	`rational.json-1`
1414×	`rational.json-2`
1414×	`rational.json-4`
1414×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	81	34
2	291	34
3	1165	34
4	4175	34

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational.json-simplify-51`
1136×	`rational.json-simplify-35`
1094×	`rational.json-simplify-61`
1018×	`rational.json-simplify-44`
1010×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	297	3500
1	749	3410
2	1780	3372
3	6089	3348

Stop Event

1×	node limit

Counts

146 → 160

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 z y)
(+.f64 (.f64 1/6 (.f64 y z)) (/.f64 z y))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/120 z) (.f64 -1/36 z)))) (+.f64 (.f64 1/6 (.f64 y z)) (/.f64 z y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/5040 z) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 z) (.f64 -1/36 z))) (.f64 1/720 z))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/120 z) (.f64 -1/36 z)))) (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(+.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 0)
(+.f64 0 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))
(-.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 0)
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(.f64 (.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 1)
(.f64 1 (.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y)))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y)) 1))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (sin.f64 y) z) 2) (/.f64 1 y)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (/.f64 (sin.f64 y) z) y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 y) (/.f64 (sin.f64 y) z)))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 y) (+.f64 z z)) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 (*.f64 y (/.f64 z x))))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 x y) (/.f64 1/2 z)))
(.f64 (.f64 (sin.f64 y) 2) (.f64 (/.f64 1/2 (.f64 y (/.f64 z x))) 1))
(.f64 (.f64 (sin.f64 y) 2) (.f64 (/.f64 1 (.f64 z (/.f64 2 x))) (/.f64 1 y)))
(.f64 (.f64 x (/.f64 2 y)) (/.f64 (/.f64 (sin.f64 y) z) 2))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) 2) 1))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 1/2 (/.f64 (sin.f64 y) z)))
(.f64 (.f64 x (/.f64 2 y)) (*.f64 (/.f64 1/2 z) (sin.f64 y)))
(.f64 (.f64 x (/.f64 (sin.f64 y) z)) (/.f64 1 y))
(*.f64 2 (/.f64 (/.f64 x y) (/.f64 (+.f64 z z) (sin.f64 y))))
(.f64 2 (/.f64 x (.f64 y (/.f64 (+.f64 z z) (sin.f64 y)))))
(.f64 2 (/.f64 (sin.f64 y) (.f64 (+.f64 y y) (/.f64 z x))))
(.f64 2 (/.f64 (.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 2))
(.f64 2 (.f64 (*.f64 (/.f64 x y) (/.f64 1/2 z)) (sin.f64 y)))
(.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y)) x))
(.f64 2 (.f64 (/.f64 1/2 (*.f64 y (/.f64 z x))) (sin.f64 y)))
(.f64 2 (.f64 (/.f64 (/.f64 (sin.f64 y) z) 2) (/.f64 x y)))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 y (.f64 (/.f64 z (sin.f64 y)) 4))))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 (.f64 y (/.f64 z x)) 4)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 (*.f64 y (/.f64 z x)))) 1/2)
(.f64 (.f64 (/.f64 x y) 4) (/.f64 1 (*.f64 (/.f64 z (sin.f64 y)) 4)))
(.f64 (/.f64 (.f64 (sin.f64 y) 2) (/.f64 z x)) (/.f64 1/2 y))
(.f64 (/.f64 1 y) (.f64 x (/.f64 (sin.f64 y) z)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(.f64 (neg.f64 x) (/.f64 1 (.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 (/.f64 z (sin.f64 y))))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 y (/.f64 (sin.f64 y) z)))))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 (neg.f64 z) (/.f64 y x))))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (.f64 y (/.f64 z x)))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 1 (neg.f64 (/.f64 z (sin.f64 y)))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 1 (/.f64 z (neg.f64 (sin.f64 y)))))
(.f64 (.f64 x (neg.f64 (/.f64 (sin.f64 y) z))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x z) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 x z) (/.f64 1 (/.f64 y (sin.f64 y))))
(.f64 (/.f64 x (.f64 y z)) (sin.f64 y))
(.f64 (/.f64 x (.f64 y z)) (/.f64 1 (/.f64 1 (sin.f64 y))))
(.f64 (.f64 x (/.f64 2 z)) (/.f64 1 (/.f64 (+.f64 y y) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(.f64 -1 (/.f64 x (.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))))
(.f64 -1 (/.f64 x (.f64 y (neg.f64 (/.f64 z (sin.f64 y))))))
(*.f64 -1 (/.f64 x (neg.f64 (/.f64 y (/.f64 (sin.f64 y) z)))))
(*.f64 -1 (/.f64 (/.f64 x y) (neg.f64 (/.f64 z (sin.f64 y)))))
(*.f64 -1 (/.f64 (/.f64 x y) (/.f64 z (neg.f64 (sin.f64 y)))))
(.f64 -1 (/.f64 (.f64 x (/.f64 (sin.f64 y) z)) (neg.f64 y)))
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(.f64 (.f64 2 (/.f64 1 y)) (.f64 (.f64 x (/.f64 1/2 z)) (sin.f64 y)))
(*.f64 (/.f64 1 z) (/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 z) (/.f64 (sin.f64 y) (/.f64 y x)))
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 1 z) (/.f64 (+.f64 x x) (/.f64 (+.f64 y y) (sin.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 (*.f64 y (/.f64 z x)))))
(.f64 (/.f64 1/2 y) (/.f64 (.f64 (sin.f64 y) 2) (/.f64 z x)))
(.f64 (/.f64 (/.f64 (sin.f64 y) z) 2) (.f64 x (/.f64 2 y)))
(.f64 (/.f64 1 (.f64 z (/.f64 2 x))) (*.f64 (sin.f64 y) (/.f64 2 y)))
(*.f64 (/.f64 2 z) (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 x (+.f64 y y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y)) (+.f64 x x))
(.f64 (/.f64 1/2 (.f64 y (/.f64 z x))) (*.f64 (sin.f64 y) 2))
(*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y)) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y))) x)
(.f64 (+.f64 (/.f64 1/2 (.f64 y (/.f64 z x))) (/.f64 1/2 (*.f64 y (/.f64 z x)))) (sin.f64 y))
(*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 y) z) 2) (/.f64 (/.f64 (sin.f64 y) z) 2)) (/.f64 x y))
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(.f64 (+.f64 (/.f64 1 (.f64 z (/.f64 2 x))) (/.f64 1 (.f64 z (/.f64 2 x)))) (.f64 (/.f64 1 y) (sin.f64 y)))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 1)
(+.f64 (/.f64 z (sin.f64 y)) 0)
(+.f64 0 (/.f64 z (sin.f64 y)))
(-.f64 (/.f64 z (sin.f64 y)) 0)
(-.f64 0 (neg.f64 (/.f64 z (sin.f64 y))))
(*.f64 z (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 z (sin.f64 y)) 1)
(*.f64 1 (/.f64 z (sin.f64 y)))
(*.f64 (+.f64 z z) (/.f64 1/2 (sin.f64 y)))
(.f64 (+.f64 z z) (.f64 1/2 (/.f64 1 (sin.f64 y))))
(.f64 (+.f64 z z) (.f64 (/.f64 1/2 (sin.f64 y)) 1))
(*.f64 (/.f64 (+.f64 z z) (sin.f64 y)) 1/2)
(.f64 2 (/.f64 z (.f64 (sin.f64 y) 2)))
(*.f64 2 (/.f64 (/.f64 z (sin.f64 y)) 2))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 y)) z))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 (sin.f64 y) 4)))
(.f64 (.f64 (/.f64 z (sin.f64 y)) 4) 1/4)
(*.f64 (/.f64 1 (sin.f64 y)) z)
(*.f64 (neg.f64 (/.f64 z (sin.f64 y))) -1)
(*.f64 (neg.f64 z) (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 -1 (/.f64 z (neg.f64 (sin.f64 y))))
(.f64 (.f64 2 (/.f64 1 (sin.f64 y))) (/.f64 z 2))
(*.f64 1/2 (/.f64 (+.f64 z z) (sin.f64 y)))
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(*.f64 (+.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 1/2 (sin.f64 y))) z)
(pow.f64 (/.f64 z (sin.f64 y)) 1)
(neg.f64 (neg.f64 (/.f64 z (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)))
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(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.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 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
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(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
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(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
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(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
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(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 z y)
(+.f64 (.f64 1/6 (.f64 y z)) (/.f64 z y))
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(+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/5040 z) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 z) (.f64 -1/36 z))) (.f64 1/720 z))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/120 z) (.f64 -1/36 z)))) (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
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(.f64 (/.f64 1 (.f64 z (/.f64 2 x))) (*.f64 (sin.f64 y) (/.f64 2 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 x z) y))
(*.f64 (/.f64 2 z) (/.f64 x (/.f64 (+.f64 y y) (sin.f64 y))))
(.f64 (.f64 x (/.f64 2 z)) (/.f64 (sin.f64 y) (/.f64 (+.f64 y y) 1)))
(.f64 x (.f64 (/.f64 2 z) (/.f64 (sin.f64 y) (+.f64 y y))))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 x (+.f64 y y)))
(.f64 (sin.f64 y) (.f64 (/.f64 2 z) (/.f64 x (+.f64 y y))))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (*.f64 x (/.f64 1/2 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y)) (+.f64 x x))
(.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 (/.f64 1/2 (.f64 y (/.f64 z x))) (*.f64 (sin.f64 y) 2))
(.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 (+.f64 (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y)) (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y))) x)
(.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 (+.f64 (/.f64 1/2 (.f64 y (/.f64 z x))) (/.f64 1/2 (*.f64 y (/.f64 z x)))) (sin.f64 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 x z) y))
(*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 y) z) 2) (/.f64 (/.f64 (sin.f64 y) z) 2)) (/.f64 x 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 x z) y))
(.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (.f64 x (/.f64 (sin.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 (+.f64 (/.f64 1 (.f64 z (/.f64 2 x))) (/.f64 1 (.f64 z (/.f64 2 x)))) (.f64 (/.f64 1 y) (sin.f64 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 x z) y))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 1)
(.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 (/.f64 z (sin.f64 y)) 0)
(/.f64 z (sin.f64 y))
(+.f64 0 (/.f64 z (sin.f64 y)))
(/.f64 z (sin.f64 y))
(-.f64 (/.f64 z (sin.f64 y)) 0)
(/.f64 z (sin.f64 y))
(-.f64 0 (neg.f64 (/.f64 z (sin.f64 y))))
(/.f64 z (sin.f64 y))
(*.f64 z (/.f64 1 (sin.f64 y)))
(/.f64 z (sin.f64 y))
(*.f64 (/.f64 z (sin.f64 y)) 1)
(/.f64 z (sin.f64 y))
(*.f64 1 (/.f64 z (sin.f64 y)))
(/.f64 z (sin.f64 y))
(*.f64 (+.f64 z z) (/.f64 1/2 (sin.f64 y)))
(/.f64 z (sin.f64 y))
(.f64 (+.f64 z z) (.f64 1/2 (/.f64 1 (sin.f64 y))))
(/.f64 z (sin.f64 y))
(.f64 (+.f64 z z) (.f64 (/.f64 1/2 (sin.f64 y)) 1))
(/.f64 z (sin.f64 y))
(*.f64 (/.f64 (+.f64 z z) (sin.f64 y)) 1/2)
(/.f64 z (sin.f64 y))
(.f64 2 (/.f64 z (.f64 (sin.f64 y) 2)))
(/.f64 z (sin.f64 y))
(*.f64 2 (/.f64 (/.f64 z (sin.f64 y)) 2))
(/.f64 z (sin.f64 y))
(.f64 2 (.f64 (/.f64 1/2 (sin.f64 y)) z))
(/.f64 z (sin.f64 y))
(.f64 (.f64 z 4) (/.f64 1 (*.f64 (sin.f64 y) 4)))
(.f64 z (.f64 4 (/.f64 1/4 (sin.f64 y))))
(.f64 (.f64 (/.f64 z (sin.f64 y)) 4) 1/4)
(/.f64 z (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) z)
(/.f64 z (sin.f64 y))
(*.f64 (neg.f64 (/.f64 z (sin.f64 y))) -1)
(/.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) (/.f64 1 (neg.f64 (sin.f64 y))))
(/.f64 z (sin.f64 y))
(*.f64 -1 (/.f64 z (neg.f64 (sin.f64 y))))
(/.f64 z (sin.f64 y))
(.f64 (.f64 2 (/.f64 1 (sin.f64 y))) (/.f64 z 2))
(/.f64 z (sin.f64 y))
(*.f64 1/2 (/.f64 (+.f64 z z) (sin.f64 y)))
(/.f64 z (sin.f64 y))
(*.f64 (/.f64 1/2 (sin.f64 y)) (+.f64 z z))
(/.f64 z (sin.f64 y))
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 y)) (/.f64 1/2 (sin.f64 y))) z)
(/.f64 z (sin.f64 y))
(pow.f64 (/.f64 z (sin.f64 y)) 1)
(/.f64 z (sin.f64 y))
(neg.f64 (neg.f64 (/.f64 z (sin.f64 y))))
(/.f64 z (sin.f64 y))

eval132.0ms (0.7%)

Compiler: Compiled 8146 to 4008 computations (50.8% saved)

prune111.0ms (0.6%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	585	13	598
Fresh	1	1	2
Picked	0	1	1
Done	0	6	6
Total	586	21	607

Error

Counts

607 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.3b	(/.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 x))
	37.9b	(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
	44.3b	(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
✓	10.0b	(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
	36.4b	(/.f64 (/.f64 x y) (/.f64 z y))
	32.6b	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))
▶	32.6b	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
▶	31.2b	(/.f64 (/.f64 2 z) (/.f64 2 x))
✓	2.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	10.6b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
	39.8b	(/.f64 x (/.f64 (*.f64 z z) z))
✓	31.0b	(/.f64 x z)
▶	31.1b	(/.f64 1 (/.f64 z x))
	31.2b	(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
	33.6b	(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
▶	6.5b	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
▶	46.0b	(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
✓	12.3b	(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
✓	3.3b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
✓	31.1b	(*.f64 x (/.f64 1 z))
	10.3b	(.f64 x (.f64 (/.f64 (/.f64 1 z) y) (sin.f64 y)))

Compiler

Compiled 407 to 265 computations (34.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 y) z)
✓	3.2b	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
✓	5.1b	(/.f64 (/.f64 (sin.f64 y) z) y)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series3.0ms (0%)

Counts

3 → 64

Calls

21 calls:

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

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2004×	`rational.json-1`
2004×	`rational.json-2`
1634×	`rational.json-simplify-35`
908×	`exponential.json-3`
908×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	77	51
2	237	51
3	743	51
4	2642	51
5	6995	51

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

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

simplify485.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational.json-simplify-49`
1042×	`rational.json-simplify-2`
776×	`rational.json-simplify-46`
768×	`rational.json-simplify-35`
758×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	352	4895
1	917	4829
2	2610	4817
3	5020	4787
4	7348	4787

Stop Event

1×	node limit

Counts

219 → 247

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 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.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) (.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 (sin.f64 y) (*.f64 y z)) 0)
(+.f64 0 (/.f64 (sin.f64 y) (*.f64 y z)))
(-.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 0)
(*.f64 (sin.f64 y) (/.f64 (/.f64 1 y) z))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 1 y))
(.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 z) y))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 (/.f64 1 y) z) 1/2))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (/.f64 1/2 y))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) (*.f64 (/.f64 1 y) 1/2))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))
(*.f64 2 (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y)))
(.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 z) y) (sin.f64 y)))
(.f64 2 (.f64 (/.f64 1/2 y) (/.f64 (sin.f64 y) z)))
(.f64 2 (.f64 (/.f64 1/2 z) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) z) 1/2)
(.f64 (.f64 (/.f64 (sin.f64 y) z) 4) (/.f64 1 (*.f64 y 4)))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (/.f64 1/2 z))
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (.f64 y (.f64 z 4))))
(*.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 1 z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 -1 y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 -1 z))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 y (neg.f64 z))))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (.f64 z (neg.f64 y))))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (.f64 y z)))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)))
(*.f64 -1 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 y (neg.f64 z))))
(.f64 -1 (/.f64 (sin.f64 y) (.f64 z (neg.f64 y))))
(.f64 -1 (/.f64 (neg.f64 (sin.f64 y)) (.f64 y z)))
(.f64 (.f64 2 (/.f64 1 z)) (/.f64 (sin.f64 y) (+.f64 y y)))
(*.f64 (/.f64 1/2 z) (/.f64 (sin.f64 y) (/.f64 y 2)))
(*.f64 1/2 (/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) z))
(.f64 (/.f64 1/2 y) (.f64 (sin.f64 y) (/.f64 2 z)))
(.f64 (/.f64 (/.f64 1/2 z) y) (.f64 (sin.f64 y) 2))
(.f64 (.f64 (/.f64 (/.f64 1 y) z) 1/2) (*.f64 (sin.f64 y) 2))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 y) (/.f64 2 z)))
(*.f64 (/.f64 2 y) (/.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) -1)
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) -1)
(.f64 (/.f64 (sin.f64 y) (.f64 y (neg.f64 z))) -1)
(.f64 (/.f64 (sin.f64 y) (.f64 z (neg.f64 y))) -1)
(.f64 (/.f64 (neg.f64 (sin.f64 y)) (.f64 y z)) -1)
(*.f64 (/.f64 -1 y) (/.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (+.f64 y y)) 2)
(.f64 (/.f64 (sin.f64 y) (+.f64 y y)) (.f64 2 (/.f64 1 z)))
(*.f64 (/.f64 (sin.f64 y) (+.f64 z z)) (/.f64 2 y))
(.f64 (/.f64 (sin.f64 y) (.f64 y (+.f64 z z))) 2)
(.f64 (/.f64 (/.f64 (sin.f64 y) (.f64 y z)) 2) 2)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (/.f64 (sin.f64 y) z) 4))
(.f64 (/.f64 1 (.f64 y (.f64 z 4))) (.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 z) (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 (/.f64 1 (.f64 y (neg.f64 z))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 1 (.f64 z (neg.f64 y))) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 -1 (.f64 y z)) (neg.f64 (sin.f64 y)))
(*.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (/.f64 (sin.f64 y) y))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 (sin.f64 y) z))
(*.f64 (+.f64 (/.f64 (/.f64 1/2 z) y) (/.f64 (/.f64 1/2 z) y)) (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 1)
(neg.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)))
(neg.f64 (/.f64 (sin.f64 y) (*.f64 y (neg.f64 z))))
(neg.f64 (/.f64 (sin.f64 y) (*.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y 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 (/.f64 (sin.f64 y) z) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (/.f64 1 x))
(/.f64 x (*.f64 y (/.f64 z (sin.f64 y))))
(/.f64 (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) 1)
(/.f64 1 (/.f64 (*.f64 y (/.f64 z (sin.f64 y))) x))
(/.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 (sin.f64 y) y) (/.f64 z x))
(/.f64 2 (/.f64 (*.f64 y (/.f64 (+.f64 z z) (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 (/.f64 (sin.f64 y) (/.f64 y 2)) z) (/.f64 2 x))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) z) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) 4) (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x)))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (/.f64 (+.f64 z z) x))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) (+.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (+.f64 x x) (*.f64 y (/.f64 (+.f64 z z) (sin.f64 y))))
(/.f64 (*.f64 x (/.f64 (/.f64 (sin.f64 y) (/.f64 y 2)) z)) 2)
(/.f64 (/.f64 1 y) (/.f64 (/.f64 z (sin.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 (sin.f64 y) (neg.f64 y)) (/.f64 z (neg.f64 x)))
(/.f64 4 (+.f64 (/.f64 (.f64 y (/.f64 (+.f64 z z) (sin.f64 y))) x) (/.f64 (.f64 y (/.f64 (+.f64 z z) (sin.f64 y))) x)))
(/.f64 (.f64 x 4) (.f64 2 (*.f64 y (/.f64 (+.f64 z z) (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 z 4) 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) (.f64 y z)) (*.f64 x 4)) 4)
(/.f64 (*.f64 2 (/.f64 1 z)) (+.f64 (/.f64 (/.f64 y (sin.f64 y)) x) (/.f64 (/.f64 y (sin.f64 y)) x)))
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) -2) (+.f64 (/.f64 z (neg.f64 x)) (/.f64 z (neg.f64 x))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) 4)) (+.f64 (/.f64 (.f64 z 4) x) (/.f64 (.f64 z 4) 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 y) (+.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (/.f64 (/.f64 z (sin.f64 y)) x)))
(/.f64 (/.f64 (.f64 x 4) (.f64 y (/.f64 z (sin.f64 y)))) 4)
(/.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 y) (/.f64 x y)) (/.f64 (+.f64 z z) (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 z) (/.f64 x z)) (*.f64 y (/.f64 2 (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 y (/.f64 (+.f64 z z) (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 (sin.f64 y) (/.f64 x (.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) 2) (/.f64 1/2 z))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 z) 1/2))
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) 1/2)
(*.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 (/.f64 (sin.f64 y) (neg.f64 z)) -1)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 z))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 z)))
(.f64 (.f64 2 (/.f64 1 z)) (/.f64 (sin.f64 y) 2))
(.f64 (/.f64 1/2 z) (.f64 (sin.f64 y) 2))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 z)))
(.f64 (.f64 (/.f64 1 z) 1/2) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) (+.f64 z z)) 2)
(*.f64 (/.f64 -1 z) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) 2) (.f64 2 (/.f64 1 z)))
(.f64 1/4 (.f64 (/.f64 (sin.f64 y) z) 4))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) 2) 2)
(.f64 (/.f64 1 (.f64 z 4)) (*.f64 (sin.f64 y) 4))
(*.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 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 1/120 (/.f64 (pow.f64 y 4) z)) (.f64 -1/6 (/.f64 (pow.f64 y 2) 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 1/120 (/.f64 (pow.f64 y 4) z))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 z) (+.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (.f64 1/120 (/.f64 (pow.f64 y 4) z))) (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z))))
(+.f64 (/.f64 1 z) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (*.f64 1/120 (/.f64 (pow.f64 y 4) z)))))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) 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 x (/.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 x z) (.f64 -1/6 (.f64 (pow.f64 y 2) (/.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 -1/6 (.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 1/120 (.f64 (pow.f64 y 4) (/.f64 x z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z))) (+.f64 (/.f64 x z) (.f64 (/.f64 (pow.f64 y 4) z) (.f64 x 1/120))))
(+.f64 (/.f64 x z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z))) (.f64 (pow.f64 y 4) (.f64 (/.f64 x 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 (/.f64 x z) (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z)))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) (/.f64 x z))) (.f64 1/120 (.f64 (pow.f64 y 4) (/.f64 x z)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) (/.f64 x z))) (+.f64 (/.f64 x z) (.f64 (/.f64 (pow.f64 y 4) z) (.f64 x 1/120)))))
(+.f64 (/.f64 x z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) (/.f64 x z))) (+.f64 (.f64 (pow.f64 y 4) (.f64 (/.f64 x 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 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
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(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
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(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (*.f64 x 4)) 4)
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(/.f64 (*.f64 2 (/.f64 1 z)) (+.f64 (/.f64 (/.f64 y (sin.f64 y)) x) (/.f64 (/.f64 y (sin.f64 y)) x)))
(.f64 (/.f64 1 z) (/.f64 2 (+.f64 (/.f64 y (.f64 (sin.f64 y) x)) (/.f64 y (*.f64 (sin.f64 y) x)))))
(.f64 (/.f64 1 z) (/.f64 1 (/.f64 y (.f64 (sin.f64 y) x))))
(.f64 (/.f64 1 z) (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 (/.f64 1 z) (.f64 x (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))))
(*.f64 -2 (/.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))) (+.f64 z z)))
(.f64 -2 (/.f64 (.f64 x (/.f64 (sin.f64 (neg.f64 y)) y)) (+.f64 z z)))
(.f64 -1/2 (/.f64 (.f64 2 (/.f64 (sin.f64 y) z)) (/.f64 y (neg.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) -2) (+.f64 (/.f64 z (neg.f64 x)) (/.f64 z (neg.f64 x))))
(*.f64 -2 (/.f64 (/.f64 (sin.f64 y) y) (+.f64 (/.f64 z (neg.f64 x)) (/.f64 z (neg.f64 x)))))
(*.f64 -2 (/.f64 (/.f64 (sin.f64 y) (/.f64 z (neg.f64 x))) (+.f64 y y)))
(.f64 -2 (/.f64 (.f64 x (/.f64 (sin.f64 y) (neg.f64 z))) (+.f64 y y)))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) y) 4)) (+.f64 (/.f64 (.f64 z 4) x) (/.f64 (.f64 z 4) x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) 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 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 y) (.f64 y z)) (.f64 x 4))) 8)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (/.f64 2 y) (+.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (/.f64 (/.f64 z (sin.f64 y)) x)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (/.f64 (.f64 x 4) (.f64 y (/.f64 z (sin.f64 y)))) 4)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (/.f64 x 2) (/.f64 (*.f64 y (/.f64 z (sin.f64 y))) 2))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y (/.f64 z (sin.f64 y)))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (+.f64 z z) (sin.f64 y)))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) 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)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) 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)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (+.f64 (/.f64 x z) (/.f64 x z)) (*.f64 y (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (+.f64 (/.f64 x z) (/.f64 x z)) y) (/.f64 2 (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 2 (/.f64 (+.f64 (/.f64 x z) (/.f64 x z)) 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 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (neg.f64 (+.f64 x x)) (-.f64 0 (*.f64 y (/.f64 (+.f64 z z) (sin.f64 y)))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 z (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 y (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y (/.f64 z (sin.f64 y))))
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(pow.f64 (.f64 (sin.f64 y) (/.f64 x (.f64 y z))) 1)
(.f64 x (/.f64 (sin.f64 y) (.f64 z y)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(+.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) 2) (/.f64 1/2 z))
(/.f64 (sin.f64 y) z)
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 z) 1/2))
(/.f64 (sin.f64 y) z)
(.f64 (.f64 (sin.f64 y) (/.f64 2 z)) 1/2)
(.f64 (sin.f64 y) (.f64 (/.f64 2 z) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 2 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 (sin.f64 y) (.f64 4 (/.f64 1 (*.f64 z 4))))
(.f64 4 (.f64 (/.f64 1/4 z) (sin.f64 y)))
(.f64 4 (.f64 (sin.f64 y) (/.f64 1/4 z)))
(*.f64 (/.f64 1 z) (sin.f64 y))
(/.f64 (sin.f64 y) z)
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) -1)
(/.f64 (sin.f64 y) z)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 z))
(/.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 2 (.f64 (/.f64 1 z) (/.f64 (sin.f64 y) 2)))
(.f64 (.f64 (/.f64 1 z) 2) (/.f64 (sin.f64 y) 2))
(.f64 (/.f64 1/2 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) (.f64 (/.f64 2 z) 1/2))
(.f64 (sin.f64 y) (.f64 1/2 (/.f64 2 z)))
(.f64 (.f64 (/.f64 1 z) 1/2) (*.f64 (sin.f64 y) 2))
(/.f64 (sin.f64 y) z)
(*.f64 (/.f64 (sin.f64 y) (+.f64 z z)) 2)
(/.f64 (sin.f64 y) z)
(*.f64 (/.f64 -1 z) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) z)
(.f64 (/.f64 (sin.f64 y) 2) (.f64 2 (/.f64 1 z)))
(.f64 2 (.f64 (/.f64 1 z) (/.f64 (sin.f64 y) 2)))
(.f64 (.f64 (/.f64 1 z) 2) (/.f64 (sin.f64 y) 2))
(.f64 1/4 (.f64 (/.f64 (sin.f64 y) z) 4))
(/.f64 (sin.f64 y) z)
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) 2) 2)
(/.f64 (sin.f64 y) z)
(.f64 (/.f64 1 (.f64 z 4)) (*.f64 (sin.f64 y) 4))
(.f64 (sin.f64 y) (.f64 4 (/.f64 1 (*.f64 z 4))))
(.f64 4 (.f64 (/.f64 1/4 z) (sin.f64 y)))
(.f64 4 (.f64 (sin.f64 y) (/.f64 1/4 z)))
(*.f64 (+.f64 (/.f64 1/2 z) (/.f64 1/2 z)) (sin.f64 y))
(*.f64 (sin.f64 y) (+.f64 (/.f64 1/2 z) (/.f64 1/2 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
✓	0.4b	(/.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))

rewrite124.0ms (0.7%)

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))))))

simplify260.0ms (1.4%)

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)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite178.0ms (0.9%)

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)))))))

simplify134.0ms (0.7%)

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)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (/.f64 z x))
✓	5.6b	(/.f64 x (*.f64 z (/.f64 z x)))
✓	31.4b	(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))

Compiler

Compiled 31 to 7 computations (77.4% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite274.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`exponential.json-3`
1546×	`rational.json-1`
1546×	`rational.json-2`
1546×	`rational.json-4`
1546×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	63
1	59	63
2	187	39
3	762	39
4	3665	39

Stop Event

1×	node limit

Counts

3 → 263

Calls

Call 1

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

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

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

simplify185.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1590×	`rational.json-simplify-44`
1486×	`rational.json-simplify-61`
1438×	`rational.json-simplify-47`
1322×	`rational.json-simplify-49`
902×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	527	5123
1	2088	4835

Stop Event

1×	node limit

Counts

335 → 319

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

localize104.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))
✓	0.2b	(.f64 y (.f64 z 1/6))
✓	0.3b	(*.f64 z 1/6)
✓	9.3b	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))

Compiler

Compiled 43 to 20 computations (53.5% saved)

series10.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
1.0ms	z	@	0	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
1.0ms	z	@	inf	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
1.0ms	z	@	-inf	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
1.0ms	x	@	inf	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))

rewrite143.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2000×	`rational.json-1`
2000×	`rational.json-2`
1048×	`exponential.json-3`
1048×	`rational.json-4`
1048×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	82
1	91	82
2	270	82
3	853	82
4	2974	82
5	7133	82

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
(*.f64 z 1/6)
(.f64 y (.f64 z 1/6))
(+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (/.f64 1/2 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x y) 2) (/.f64 1/2 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x y) 2) (.f64 (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 x y) (+.f64 (.f64 y (.f64 z 1/3)) (/.f64 (+.f64 z z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 x (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 y) (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 x y) 2) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x y) 4) (/.f64 1 (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (/.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 2)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (.f64 y (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 -1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 x) y) (/.f64 -1 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 x) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 x (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 y)) (/.f64 x (+.f64 (.f64 y (.f64 z 1/3)) (/.f64 (+.f64 z z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 (/.f64 x y) 2) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 y) (/.f64 x (/.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) 1/2) (.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 (.f64 y (.f64 z 1/3)) (/.f64 (+.f64 z z) y))) (.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 y y)) (/.f64 2 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x y) (+.f64 (.f64 y (.f64 z 1/3)) (/.f64 (+.f64 z z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4)) (.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 y) (/.f64 (neg.f64 x) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4))) (.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) (neg.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/2 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (/.f64 1/2 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/2 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) (/.f64 1/2 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (.f64 y (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))) (neg.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 z 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 1/6) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 z 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y (.f64 z 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 z 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 z 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 z 2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 y (.f64 z 2/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (*.f64 z 1/6)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (+.f64 (.f64 y 1/6) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 z z) (+.f64 (/.f64 1/2 y) (.f64 (.f64 y 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 z z) (+.f64 (/.f64 1/2 y) (/.f64 (.f64 y 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y (.f64 z 1/3)) (/.f64 (+.f64 z z) y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 y (.f64 z 1/3)) (/.f64 (+.f64 z z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y 1/6) (/.f64 1 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y (.f64 z 1/3)) (/.f64 (+.f64 z z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))))))))

simplify252.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1492×	`rational.json-simplify-53`
1454×	`rational.json-simplify-51`
1172×	`rational.json-simplify-35`
1028×	`rational.json-simplify-61`
954×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	6258
1	575	6206
2	1585	6206
3	4672	6194

Stop Event

1×	node limit

Counts

204 → 180

Calls

Call 1

Inputs
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
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eval485.0ms (2.6%)

Compiler: Compiled 12164 to 5483 computations (54.9% saved)

prune841.0ms (4.5%)

Pruning

40 alts after pruning (29 fresh and 11 done)

	Pruned	Kept	Total
New	838	23	861
Fresh	3	6	9
Picked	0	1	1
Done	1	10	11
Total	842	40	882

Error

Counts

882 → 40

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.3b	(/.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 x))
▶	45.8b	(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
	37.0b	(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
	48.7b	(/.f64 (/.f64 (.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (/.f64 x z) z)) (.f64 x (/.f64 z x)))
	45.9b	(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
✓	10.0b	(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
	36.4b	(/.f64 (/.f64 x y) (/.f64 z y))
	32.6b	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))
✓	32.6b	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
✓	31.2b	(/.f64 (/.f64 2 z) (/.f64 2 x))
	31.1b	(/.f64 (/.f64 1 (/.f64 1 x)) z)
✓	2.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	37.8b	(/.f64 (*.f64 x (/.f64 x z)) x)
	10.6b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
	37.7b	(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
	39.8b	(/.f64 x (/.f64 (*.f64 z z) z))
	31.2b	(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
	28.5b	(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
	28.5b	(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
✓	31.0b	(/.f64 x z)
	31.2b	(/.f64 2 (*.f64 z (/.f64 2 x)))
✓	31.1b	(/.f64 1 (/.f64 z x))
	33.6b	(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
✓	6.5b	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
▶	34.5b	(*.f64 (/.f64 (/.f64 y z) y) x)
	46.3b	(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
	44.2b	(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
	30.7b	(.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))) (/.f64 1 y))
	32.6b	(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
▶	28.6b	(.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)
	28.6b	(.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4))) (.f64 x 4))
	41.1b	(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
✓	12.3b	(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
▶	37.0b	(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
✓	3.3b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
	28.6b	(.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (.f64 y (*.f64 1/6 z)))))
✓	31.1b	(*.f64 x (/.f64 1 z))
▶	10.3b	(.f64 x (.f64 (/.f64 (/.f64 1 z) y) (sin.f64 y)))
	28.6b	(.f64 x (.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 z y) (.f64 y (.f64 1/6 z)))) y)))
	30.6b	(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (neg.f64 y)))

Compiler

Compiled 960 to 618 computations (35.6% saved)

localize65.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 z) y)
✓	3.2b	(.f64 x (.f64 (/.f64 (/.f64 1 z) y) (sin.f64 y)))
✓	6.8b	(*.f64 (/.f64 (/.f64 1 z) y) (sin.f64 y))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series2.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite147.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2062×	`rational.json-1`
2062×	`rational.json-2`
1584×	`rational.json-simplify-35`
956×	`exponential.json-3`
956×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	99	53
2	270	53
3	761	53
4	2611	53
5	7056	53

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

Outputs

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

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

simplify267.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-35`
1162×	`rational.json-simplify-41`
1160×	`rational.json-simplify-53`
1064×	`rational.json-simplify-2`
962×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	431	5771
1	1335	5695
2	3958	5613
3	6109	5601

Stop Event

1×	node limit

Counts

271 → 258

Calls

Call 1

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

Outputs
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.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 1/120 (/.f64 (pow.f64 y 4) z)) (+.f64 (+.f64 (/.f64 1 z) (.f64 -1/6 (/.f64 (pow.f64 y 2) z))) (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 y 4) z)) (+.f64 (/.f64 1 z) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)))))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.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 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
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localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (/.f64 y z) y) x)
✓	11.4b	(/.f64 (/.f64 y z) y)

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	@	-inf	(/.f64 (/.f64 y z) y)
0.0ms	z	@	0	(/.f64 (/.f64 y z) y)
0.0ms	y	@	0	(/.f64 (/.f64 y z) y)
0.0ms	y	@	inf	(/.f64 (/.f64 y z) y)
0.0ms	y	@	0	(*.f64 (/.f64 (/.f64 y z) y) x)

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`rational.json-1`
1552×	`rational.json-2`
1552×	`rational.json-4`
1552×	`rational.json-3`
1532×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	60	32
2	189	14
3	656	14
4	2040	14
5	5600	14

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

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

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational.json-simplify-35`
1154×	`rational.json-simplify-2`
1008×	`rational.json-simplify-51`
714×	`rational.json-simplify-41`
550×	`rational.json-simplify-49`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	197	1394
1	528	1370
2	1459	1370
3	3552	1370
4	6944	1368

Stop Event

1×	node limit

Counts

158 → 108

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 x z) (neg.f64 z))
✓	17.1b	(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))

Compiler

Compiled 25 to 7 computations (72% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/.f64 (/.f64 x z) (neg.f64 z))
2.0ms	z	@	inf	(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
0.0ms	z	@	0	(/.f64 (/.f64 x z) (neg.f64 z))
0.0ms	x	@	inf	(/.f64 (/.f64 x z) (neg.f64 z))
0.0ms	z	@	inf	(/.f64 (/.f64 x z) (neg.f64 z))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`exponential.json-3`
1196×	`rational.json-1`
1196×	`rational.json-2`
1196×	`rational.json-4`
1196×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	71	44
2	239	44
3	950	36
4	3729	36

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (/.f64 z z)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x (/.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (neg.f64 z) (/.f64 x (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x (/.f64 z z)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (neg.f64 z) (/.f64 x (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (*.f64 z (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (*.f64 z (/.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (*.f64 z (neg.f64 z)) (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (-.f64 0 (*.f64 z (/.f64 -1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 z z)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 z) (/.f64 x (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z (/.f64 z x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z z) (neg.f64 (*.f64 (neg.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z (*.f64 z -2)) (*.f64 (neg.f64 z) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z -2) (/.f64 z (/.f64 z (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x (/.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z -4) (*.f64 (neg.f64 z) (*.f64 (/.f64 x z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 z z) (/.f64 z (/.f64 z (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 0 (*.f64 (/.f64 -1 z) (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 -1 z) (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 z (/.f64 z x)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 z (/.f64 z (/.f64 z (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (/.f64 1 z) (/.f64 x (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 (*.f64 z (*.f64 z -2)) (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z z) (*.f64 z (/.f64 (+.f64 z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z z) (-.f64 0 (*.f64 z (*.f64 z (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) z) (*.f64 2 (/.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) z) (/.f64 (+.f64 z z) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) z) (-.f64 0 (*.f64 (+.f64 z z) (/.f64 -1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -2) (*.f64 z (*.f64 z (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -2) (-.f64 0 (*.f64 z (/.f64 (+.f64 z z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 z)) (*.f64 z (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 z)) (/.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 z)) (-.f64 0 (/.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 (/.f64 1 z) (/.f64 x (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 z (/.f64 (+.f64 z z) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 z (*.f64 z -2)) (*.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 z z) (*.f64 x (/.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 z -4) (/.f64 z (/.f64 z (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 z 4) (/.f64 z (/.f64 z (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (*.f64 z z)) -2) (*.f64 2 (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (*.f64 z z)) -2) (/.f64 -2 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 4) (*.f64 (*.f64 z -4) (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) 4) (/.f64 (*.f64 z 4) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 -2 z)) (*.f64 (+.f64 z z) (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 -2 z)) (/.f64 (*.f64 z -2) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 -2 z)) (-.f64 0 (*.f64 2 (/.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (/.f64 -1 z) (*.f64 z (/.f64 (+.f64 z z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (*.f64 z (*.f64 z (/.f64 -2 x))) z))))) 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simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational.json-simplify-35`
882×	`rational.json-simplify-53`
878×	`rational.json-simplify-51`
858×	`rational.json-simplify-44`
748×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	2881
1	1464	2803
2	5424	2755

Stop Event

1×	node limit

Counts

239 → 216

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 z x) x)
✓	11.4b	(/.f64 (/.f64 z x) z)
✓	17.6b	(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`exponential.json-3`
1294×	`rational.json-1`
1294×	`rational.json-2`
1294×	`rational.json-4`
1294×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	57
1	71	57
2	337	27
3	2137	27
4	4766	27

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

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

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

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

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-35`
1324×	`rational.json-simplify-49`
964×	`rational.json-simplify-1`
962×	`rational.json-simplify-19`
900×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	103	1708
1	191	1708
2	551	1624
3	1993	1588
4	4975	1552
5	7471	1552

Stop Event

1×	node limit

Counts

136 → 91

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 z 1/6)
✓	0.5b	(/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
✓	3.7b	(.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)
✓	5.4b	(.f64 y (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6))))

Compiler

Compiled 67 to 35 computations (47.8% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
0.0ms	z	@	-inf	(/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
0.0ms	y	@	-inf	(.f64 y (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6))))
0.0ms	y	@	inf	(/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
0.0ms	y	@	-inf	(/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`rational.json-1`
1704×	`rational.json-2`
1704×	`rational.json-4`
1704×	`rational.json-3`
1686×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	111
1	111	105
2	272	105
3	683	105
4	2201	105
5	5714	105

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs
(.f64 y (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6))))
(.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)
(/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 (/.f64 z y) (*.f64 1/6 (*.f64 y z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 (/.f64 z y) (*.f64 1/6 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 (/.f64 z y) (*.f64 1/6 (*.f64 y z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 y (+.f64 (/.f64 z y) (*.f64 1/6 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (+.f64 (/.f64 z y) (*.f64 1/6 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (neg.f64 (/.f64 -1 (+.f64 (/.f64 z y) (*.f64 1/6 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (neg.f64 (neg.f64 (/.f64 1 (+.f64 (/.f64 z y) (*.f64 1/6 (*.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 z y) (*.f64 1/6 (*.f64 y z))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (/.f64 z y) (*.f64 1/6 (*.f64 y z)))) 1)))) 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simplify229.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-35`
1274×	`rational.json-simplify-2`
1248×	`rational.json-simplify-43`
1146×	`rational.json-simplify-50`
580×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	484	10573
1	1481	10413
2	4280	10359
3	7251	10269

Stop Event

1×	node limit

Counts

271 → 304

Calls

Call 1

Inputs
z
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(.f64 1/6 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(.f64 1/6 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) z)) z)
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z))
(.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z))
(.f64 -1 (.f64 y (.f64 z (-.f64 (.f64 -1/6 y) (/.f64 1 y)))))
(.f64 -1 (.f64 y (.f64 z (-.f64 (.f64 -1/6 y) (/.f64 1 y)))))
(.f64 -1 (.f64 y (.f64 z (-.f64 (.f64 -1/6 y) (/.f64 1 y)))))
(.f64 -1 (.f64 y (.f64 z (-.f64 (.f64 -1/6 y) (/.f64 1 y)))))
(/.f64 x z)
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(.f64 6 (/.f64 x (.f64 (pow.f64 y 2) z)))
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(+.f64 (.f64 6 (/.f64 x (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 216 (/.f64 x (.f64 (pow.f64 y 6) z))) (+.f64 (.f64 -36 (/.f64 x (.f64 (pow.f64 y 4) z))) (.f64 -1296 (/.f64 x (.f64 (pow.f64 y 8) z))))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
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(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
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(.f64 -1 (/.f64 x (.f64 y (.f64 z (-.f64 (.f64 -1/6 y) (/.f64 1 y))))))
(.f64 -1 (/.f64 x (.f64 y (.f64 z (-.f64 (.f64 -1/6 y) (/.f64 1 y))))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
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(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
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(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 1 z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
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(/.f64 6 (*.f64 (pow.f64 y 2) z))
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(-.f64 (+.f64 (.f64 216 (/.f64 1 (.f64 (pow.f64 y 6) z))) (.f64 6 (/.f64 1 (.f64 (pow.f64 y 2) z)))) (.f64 36 (/.f64 1 (.f64 (pow.f64 y 4) z))))
(-.f64 (+.f64 (.f64 216 (/.f64 1 (.f64 (pow.f64 y 6) z))) (.f64 6 (/.f64 1 (.f64 (pow.f64 y 2) z)))) (+.f64 (.f64 1296 (/.f64 1 (.f64 (pow.f64 y 8) z))) (.f64 36 (/.f64 1 (.f64 (pow.f64 y 4) z)))))
(/.f64 6 (*.f64 (pow.f64 y 2) z))
(-.f64 (.f64 6 (/.f64 1 (.f64 (pow.f64 y 2) z))) (.f64 36 (/.f64 1 (.f64 (pow.f64 y 4) z))))
(-.f64 (+.f64 (.f64 216 (/.f64 1 (.f64 (pow.f64 y 6) z))) (.f64 6 (/.f64 1 (.f64 (pow.f64 y 2) z)))) (.f64 36 (/.f64 1 (.f64 (pow.f64 y 4) z))))
(-.f64 (+.f64 (.f64 216 (/.f64 1 (.f64 (pow.f64 y 6) z))) (.f64 6 (/.f64 1 (.f64 (pow.f64 y 2) z)))) (+.f64 (.f64 1296 (/.f64 1 (.f64 (pow.f64 y 8) z))) (.f64 36 (/.f64 1 (.f64 (pow.f64 y 4) z)))))
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 1 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
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(/.f64 -1 (.f64 y (.f64 z (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(/.f64 -1 (.f64 y (.f64 z (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(/.f64 -1 (.f64 y (.f64 z (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(+.f64 (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))) 0)
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(/.f64 y (/.f64 1 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))))
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(/.f64 y (neg.f64 (neg.f64 (/.f64 1 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))))))
(/.f64 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))) (/.f64 1 y))
(/.f64 (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))) 1)
(/.f64 1 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y))))
(/.f64 (+.f64 y y) (.f64 2 (/.f64 1 (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z))))))
(/.f64 (+.f64 y y) (/.f64 2 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))))
(/.f64 2 (.f64 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (.f64 y 1/6) (/.f64 1 y))) 2))
(/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))))
(/.f64 (.f64 z (.f64 (+.f64 y y) (+.f64 (*.f64 y 1/6) (/.f64 1 y)))) 2)
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(/.f64 4 (+.f64 (/.f64 (/.f64 2 y) (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))) (/.f64 (/.f64 2 y) (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))))))
(/.f64 (.f64 y 4) (.f64 2 (/.f64 2 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))))))
(/.f64 (.f64 y 4) (.f64 2 (.f64 2 (/.f64 1 (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))))
(/.f64 (.f64 y 4) (/.f64 4 (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
(/.f64 (.f64 y 4) (.f64 4 (/.f64 1 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))))))
(/.f64 (.f64 y (.f64 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))) 4)) 4)
(/.f64 (.f64 z (.f64 2 (+.f64 (*.f64 y 1/6) (/.f64 1 y)))) (/.f64 2 y))
(/.f64 (neg.f64 y) (/.f64 -1 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 1 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z))))))
(pow.f64 (/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z))))) 1)
(+.f64 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y))) 0)
(+.f64 0 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y))))
(+.f64 (/.f64 1 (.f64 z (.f64 (+.f64 y y) (+.f64 (.f64 y 1/6) (/.f64 1 y))))) (/.f64 1 (.f64 z (.f64 (+.f64 y y) (+.f64 (.f64 y 1/6) (/.f64 1 y))))))
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(.f64 1 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (.f64 y 1/6) (/.f64 1 y))))
(.f64 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (.f64 y 1/6) (/.f64 1 y))) 1)
(.f64 2 (/.f64 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (.f64 y 1/6) (/.f64 1 y))) 2))
(.f64 (/.f64 1 y) (/.f64 1 (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y))) 2) 1/2)
(.f64 (/.f64 2 y) (/.f64 1 (.f64 z (.f64 2 (+.f64 (.f64 y 1/6) (/.f64 1 y))))))
(.f64 (/.f64 1 (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))) (/.f64 1 y))
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(.f64 (/.f64 -1 (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))) (/.f64 -1 y))
(.f64 1/2 (.f64 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y))) 2))
(.f64 (/.f64 (/.f64 -1 y) (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))) -1)
(.f64 (/.f64 1 (.f64 z (.f64 2 (+.f64 (.f64 y 1/6) (/.f64 1 y))))) (/.f64 2 y))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (.f64 y 1/6) (/.f64 1 y))) 2) 2)
(pow.f64 (/.f64 (/.f64 (/.f64 1 y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y))) 1)
(neg.f64 (/.f64 (/.f64 -1 y) (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))))

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

eval1.4s (7.5%)

Compiler: Compiled 15002 to 7536 computations (49.8% saved)

prune608.0ms (3.2%)

Pruning

59 alts after pruning (45 fresh and 14 done)

	Pruned	Kept	Total
New	957	29	986
Fresh	8	16	24
Picked	0	1	1
Done	2	13	15
Total	967	59	1026

Error

Counts

1026 → 59

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.3b	(/.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 x))
✓	45.8b	(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
	37.0b	(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
	33.2b	(/.f64 (/.f64 (/.f64 x y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y)))
	39.7b	(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) z)
	33.7b	(/.f64 (/.f64 (*.f64 -2 (/.f64 x y)) (neg.f64 z)) (/.f64 2 y))
	42.7b	(/.f64 (/.f64 z (*.f64 x z)) (/.f64 (/.f64 z x) x))
	34.8b	(/.f64 (/.f64 y z) (/.f64 y x))
	45.9b	(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
	30.6b	(/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))) y)
	34.0b	(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 1/6 y))) (.f64 z y))
	24.9b	(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
✓	10.0b	(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
	36.4b	(/.f64 (/.f64 x y) (/.f64 z y))
	32.6b	(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))
✓	31.2b	(/.f64 (/.f64 2 z) (/.f64 2 x))
	31.2b	(/.f64 (/.f64 1 z) (/.f64 (/.f64 z x) z))
	30.7b	(/.f64 (/.f64 1 y) (/.f64 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))) x))
	37.4b	(/.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
	42.4b	(/.f64 (.f64 (neg.f64 z) (+.f64 x x)) (.f64 z (*.f64 z -2)))
✓	2.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	37.8b	(/.f64 (*.f64 x (/.f64 x z)) x)
	10.6b	(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
	36.0b	(/.f64 z (*.f64 z (/.f64 z x)))
	37.7b	(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
	31.9b	(/.f64 x (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 (/.f64 1 z) y)))
	39.8b	(/.f64 x (/.f64 (*.f64 z z) z))
	39.9b	(/.f64 x (.f64 (.f64 z (neg.f64 z)) (/.f64 -1 z)))
	28.5b	(/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
	28.5b	(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
✓	31.0b	(/.f64 x z)
	31.2b	(/.f64 2 (*.f64 z (/.f64 2 x)))
✓	31.1b	(/.f64 1 (/.f64 z x))
	36.0b	(/.f64 -1 (.f64 (/.f64 -1 z) (.f64 z (/.f64 z x))))
	33.6b	(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
✓	6.5b	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
✓	34.5b	(*.f64 (/.f64 (/.f64 y z) y) x)
	41.1b	(.f64 (/.f64 (.f64 x x) z) (/.f64 1 x))
	46.3b	(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
	44.2b	(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
	32.6b	(.f64 (/.f64 2 (+.f64 (.f64 y (*.f64 z 1/6)) (/.f64 z y))) (/.f64 2 (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x))))
✓	28.6b	(.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)
	30.6b	(.f64 (/.f64 1 y) (/.f64 x (.f64 z (+.f64 (/.f64 1 y) (*.f64 1/6 y)))))
	35.1b	(.f64 (.f64 (/.f64 (/.f64 1 z) y) y) x)
	34.5b	(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
✓	12.3b	(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
	34.5b	(.f64 (neg.f64 (/.f64 (neg.f64 y) (.f64 y z))) x)
	42.4b	(.f64 (neg.f64 z) (+.f64 (-.f64 1 (/.f64 x (.f64 z z))) -1))
	42.0b	(.f64 (neg.f64 z) (.f64 (/.f64 (/.f64 -1 z) z) x))
	42.0b	(.f64 (neg.f64 z) (.f64 4 (*.f64 (/.f64 (/.f64 -1/4 z) z) x)))
	41.8b	(.f64 z (/.f64 x (.f64 z z)))
✓	3.3b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
	28.6b	(.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (.f64 y (*.f64 1/6 z)))))
	39.4b	(.f64 x (/.f64 x (.f64 x z)))
✓	31.1b	(*.f64 x (/.f64 1 z))
✓	10.3b	(.f64 x (.f64 (/.f64 (/.f64 1 z) y) (sin.f64 y)))
	28.6b	(.f64 x (.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 z y) (.f64 y (.f64 1/6 z)))) y)))
	30.6b	(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (neg.f64 y)))
	24.8b	(neg.f64 (/.f64 x (.f64 z (.f64 y (-.f64 (*.f64 y -1/6) (/.f64 1 y))))))

Compiler

Compiled 791 to 519 computations (34.4% saved)

regimes1.0s (5.3%)

Counts

76 → 3

Calls

Call 1

Inputs
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 x (.f64 x z)))
(.f64 z (/.f64 x (.f64 z z)))
(*.f64 (/.f64 (/.f64 y z) y) x)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 2 (*.f64 z (/.f64 2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 z (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 x (/.f64 x z)) x)
(/.f64 (/.f64 1 (/.f64 1 x)) z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
(.f64 (neg.f64 (/.f64 (neg.f64 y) (.f64 y z))) x)
(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
(.f64 (.f64 (/.f64 (/.f64 1 z) y) y) x)
(.f64 (/.f64 (.f64 x x) z) (/.f64 1 x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 z x) z))
(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) z)
(.f64 (neg.f64 z) (.f64 (/.f64 (/.f64 -1 z) z) x))
(/.f64 x (.f64 (.f64 z (neg.f64 z)) (/.f64 -1 z)))
(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 -1 (.f64 (/.f64 -1 z) (.f64 z (/.f64 z x))))
(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 z (*.f64 x z)) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
(.f64 (neg.f64 z) (.f64 4 (*.f64 (/.f64 (/.f64 -1/4 z) z) x)))
(.f64 (neg.f64 z) (+.f64 (-.f64 1 (/.f64 x (.f64 z z))) -1))
(/.f64 (.f64 (neg.f64 z) (+.f64 x x)) (.f64 z (*.f64 z -2)))
(/.f64 (/.f64 (*.f64 -2 (/.f64 x y)) (neg.f64 z)) (/.f64 2 y))
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))
(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 1/6 y))) (.f64 z y))
(/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))) y)
(/.f64 (/.f64 (/.f64 x y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y)))
(neg.f64 (/.f64 x (.f64 z (.f64 y (-.f64 (*.f64 y -1/6) (/.f64 1 y))))))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (neg.f64 y)))
(.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (.f64 y (*.f64 1/6 z)))))
(.f64 (/.f64 1 y) (/.f64 x (.f64 z (+.f64 (/.f64 1 y) (*.f64 1/6 y)))))
(.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
(.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))) (/.f64 1 y))
(/.f64 x (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 (/.f64 1 z) y)))
(/.f64 (/.f64 1 y) (/.f64 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))) x))
(.f64 x (.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 z y) (.f64 y (.f64 1/6 z)))) y)))
(.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4))) (.f64 x 4))
(/.f64 (/.f64 (.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (/.f64 x z) z)) (.f64 x (/.f64 z x)))
(.f64 (/.f64 2 (+.f64 (.f64 y (*.f64 z 1/6)) (/.f64 z y))) (/.f64 2 (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))
(.f64 x (.f64 (/.f64 (/.f64 1 z) y) (sin.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (/.f64 1 x))

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

Calls

6 calls:

278.0ms	z
204.0ms	x
198.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
137.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
35.0ms	y

Results

Error	Segments	Branch
0.2b	3	`x`
2.2b	1	`y`
0.2b	3	`z`
0.2b	3	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
0.2b	3	`(*.f64 x (/.f64 (sin.f64 y) y))`
2.2b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 854 to 385 computations (54.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.3512149212681734e-11	0.002422002927634064
0.0ms	-1.10746050351945e+117	-3.950676945127543e+112

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes331.0ms (1.7%)

Counts

71 → 3

Calls

Call 1

Inputs
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 x (.f64 x z)))
(.f64 z (/.f64 x (.f64 z z)))
(*.f64 (/.f64 (/.f64 y z) y) x)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 2 (*.f64 z (/.f64 2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 z (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 x (/.f64 x z)) x)
(/.f64 (/.f64 1 (/.f64 1 x)) z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
(.f64 (neg.f64 (/.f64 (neg.f64 y) (.f64 y z))) x)
(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
(.f64 (.f64 (/.f64 (/.f64 1 z) y) y) x)
(.f64 (/.f64 (.f64 x x) z) (/.f64 1 x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 z x) z))
(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) z)
(.f64 (neg.f64 z) (.f64 (/.f64 (/.f64 -1 z) z) x))
(/.f64 x (.f64 (.f64 z (neg.f64 z)) (/.f64 -1 z)))
(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 -1 (.f64 (/.f64 -1 z) (.f64 z (/.f64 z x))))
(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 z (*.f64 x z)) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
(.f64 (neg.f64 z) (.f64 4 (*.f64 (/.f64 (/.f64 -1/4 z) z) x)))
(.f64 (neg.f64 z) (+.f64 (-.f64 1 (/.f64 x (.f64 z z))) -1))
(/.f64 (.f64 (neg.f64 z) (+.f64 x x)) (.f64 z (*.f64 z -2)))
(/.f64 (/.f64 (*.f64 -2 (/.f64 x y)) (neg.f64 z)) (/.f64 2 y))
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))
(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 1/6 y))) (.f64 z y))
(/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))) y)
(/.f64 (/.f64 (/.f64 x y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y)))
(neg.f64 (/.f64 x (.f64 z (.f64 y (-.f64 (*.f64 y -1/6) (/.f64 1 y))))))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (neg.f64 y)))
(.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (.f64 y (*.f64 1/6 z)))))
(.f64 (/.f64 1 y) (/.f64 x (.f64 z (+.f64 (/.f64 1 y) (*.f64 1/6 y)))))
(.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
(.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))) (/.f64 1 y))
(/.f64 x (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 (/.f64 1 z) y)))
(/.f64 (/.f64 1 y) (/.f64 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))) x))
(.f64 x (.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 z y) (.f64 y (.f64 1/6 z)))) y)))
(.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4))) (.f64 x 4))
(/.f64 (/.f64 (.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (/.f64 x z) z)) (.f64 x (/.f64 z x)))
(.f64 (/.f64 2 (+.f64 (.f64 y (*.f64 z 1/6)) (/.f64 z y))) (/.f64 2 (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))

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

Calls

4 calls:

96.0ms	x
91.0ms	z
67.0ms	y
59.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
2.0b	3	`x`
2.1b	2	`y`
0.2b	3	`z`
2.1b	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 790 to 359 computations (54.6% saved)

bsearch44.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	4.6764441871414736e-71	1.1170575582838478e-70
27.0ms	-8.736543656569742e+23	-1.4073214523340417e+20

Results

19.0ms	137×	body	256	valid
17.0ms	50×	body	1024	valid
5.0ms	21×	body	512	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 329 to 220 computations (33.1% saved)

regimes136.0ms (0.7%)

Counts

68 → 1

Calls

Call 1

Inputs
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 x (.f64 x z)))
(.f64 z (/.f64 x (.f64 z z)))
(*.f64 (/.f64 (/.f64 y z) y) x)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 2 (*.f64 z (/.f64 2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 z (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 x (/.f64 x z)) x)
(/.f64 (/.f64 1 (/.f64 1 x)) z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
(.f64 (neg.f64 (/.f64 (neg.f64 y) (.f64 y z))) x)
(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
(.f64 (.f64 (/.f64 (/.f64 1 z) y) y) x)
(.f64 (/.f64 (.f64 x x) z) (/.f64 1 x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 z x) z))
(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) z)
(.f64 (neg.f64 z) (.f64 (/.f64 (/.f64 -1 z) z) x))
(/.f64 x (.f64 (.f64 z (neg.f64 z)) (/.f64 -1 z)))
(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 -1 (.f64 (/.f64 -1 z) (.f64 z (/.f64 z x))))
(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 z (*.f64 x z)) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
(.f64 (neg.f64 z) (.f64 4 (*.f64 (/.f64 (/.f64 -1/4 z) z) x)))
(.f64 (neg.f64 z) (+.f64 (-.f64 1 (/.f64 x (.f64 z z))) -1))
(/.f64 (.f64 (neg.f64 z) (+.f64 x x)) (.f64 z (*.f64 z -2)))
(/.f64 (/.f64 (*.f64 -2 (/.f64 x y)) (neg.f64 z)) (/.f64 2 y))
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))
(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 1/6 y))) (.f64 z y))
(/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))) y)
(/.f64 (/.f64 (/.f64 x y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y)))
(neg.f64 (/.f64 x (.f64 z (.f64 y (-.f64 (*.f64 y -1/6) (/.f64 1 y))))))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (neg.f64 y)))
(.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (.f64 y (*.f64 1/6 z)))))
(.f64 (/.f64 1 y) (/.f64 x (.f64 z (+.f64 (/.f64 1 y) (*.f64 1/6 y)))))
(.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
(.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))) (/.f64 1 y))
(/.f64 x (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 (/.f64 1 z) y)))
(/.f64 (/.f64 1 y) (/.f64 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))) x))
(.f64 x (.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 z y) (.f64 y (.f64 1/6 z)))) y)))
(.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4))) (.f64 x 4))
(/.f64 (/.f64 (.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (/.f64 x z) z)) (.f64 x (/.f64 z x)))
(.f64 (/.f64 2 (+.f64 (.f64 y (*.f64 z 1/6)) (/.f64 z y))) (/.f64 2 (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x))))
(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(.f64 (sin.f64 y) (/.f64 x (.f64 z y)))

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

Calls

4 calls:

32.0ms	x
31.0ms	z
30.0ms	y
26.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
3.3b	1	`x`
3.3b	1	`y`
3.3b	1	`z`
3.3b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 766 to 353 computations (53.9% saved)

regimes261.0ms (1.4%)

Counts

66 → 3

Calls

Call 1

Inputs
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 x (.f64 x z)))
(.f64 z (/.f64 x (.f64 z z)))
(*.f64 (/.f64 (/.f64 y z) y) x)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 2 (*.f64 z (/.f64 2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 z (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 x (/.f64 x z)) x)
(/.f64 (/.f64 1 (/.f64 1 x)) z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
(.f64 (neg.f64 (/.f64 (neg.f64 y) (.f64 y z))) x)
(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
(.f64 (.f64 (/.f64 (/.f64 1 z) y) y) x)
(.f64 (/.f64 (.f64 x x) z) (/.f64 1 x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 z x) z))
(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) z)
(.f64 (neg.f64 z) (.f64 (/.f64 (/.f64 -1 z) z) x))
(/.f64 x (.f64 (.f64 z (neg.f64 z)) (/.f64 -1 z)))
(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 -1 (.f64 (/.f64 -1 z) (.f64 z (/.f64 z x))))
(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 z (*.f64 x z)) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
(.f64 (neg.f64 z) (.f64 4 (*.f64 (/.f64 (/.f64 -1/4 z) z) x)))
(.f64 (neg.f64 z) (+.f64 (-.f64 1 (/.f64 x (.f64 z z))) -1))
(/.f64 (.f64 (neg.f64 z) (+.f64 x x)) (.f64 z (*.f64 z -2)))
(/.f64 (/.f64 (*.f64 -2 (/.f64 x y)) (neg.f64 z)) (/.f64 2 y))
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))
(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 1/6 y))) (.f64 z y))
(/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))) y)
(/.f64 (/.f64 (/.f64 x y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y)))
(neg.f64 (/.f64 x (.f64 z (.f64 y (-.f64 (*.f64 y -1/6) (/.f64 1 y))))))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (neg.f64 y)))
(.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (.f64 y (*.f64 1/6 z)))))
(.f64 (/.f64 1 y) (/.f64 x (.f64 z (+.f64 (/.f64 1 y) (*.f64 1/6 y)))))
(.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
(.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))) (/.f64 1 y))
(/.f64 x (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 (/.f64 1 z) y)))
(/.f64 (/.f64 1 y) (/.f64 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))) x))
(.f64 x (.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 z y) (.f64 y (.f64 1/6 z)))) y)))
(.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4))) (.f64 x 4))
(/.f64 (/.f64 (.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (/.f64 x z) z)) (.f64 x (/.f64 z x)))
(.f64 (/.f64 2 (+.f64 (.f64 y (*.f64 z 1/6)) (/.f64 z y))) (/.f64 2 (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x))))
(.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:

132.0ms	z
80.0ms	y
32.0ms	x

Results

Error	Segments	Branch
9.8b	1	`x`
3.3b	3	`y`
7.5b	5	`z`

Compiler

Compiled 743 to 343 computations (53.8% saved)

bsearch43.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	9.16905362177927e-26	7.986528300213069e-17
18.0ms	-2.8765257343808425e-7	-3.226648656235162e-9

Results

38.0ms	256×	body	256	valid
2.0ms	16×	body	256	infinite

Compiler

Compiled 321 to 220 computations (31.5% saved)

regimes100.0ms (0.5%)

Counts

65 → 1

Calls

Call 1

Inputs
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 x (.f64 x z)))
(.f64 z (/.f64 x (.f64 z z)))
(*.f64 (/.f64 (/.f64 y z) y) x)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 2 (*.f64 z (/.f64 2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 z (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 x (/.f64 x z)) x)
(/.f64 (/.f64 1 (/.f64 1 x)) z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
(.f64 (neg.f64 (/.f64 (neg.f64 y) (.f64 y z))) x)
(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
(.f64 (.f64 (/.f64 (/.f64 1 z) y) y) x)
(.f64 (/.f64 (.f64 x x) z) (/.f64 1 x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 z x) z))
(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) z)
(.f64 (neg.f64 z) (.f64 (/.f64 (/.f64 -1 z) z) x))
(/.f64 x (.f64 (.f64 z (neg.f64 z)) (/.f64 -1 z)))
(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 -1 (.f64 (/.f64 -1 z) (.f64 z (/.f64 z x))))
(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 z (*.f64 x z)) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
(.f64 (neg.f64 z) (.f64 4 (*.f64 (/.f64 (/.f64 -1/4 z) z) x)))
(.f64 (neg.f64 z) (+.f64 (-.f64 1 (/.f64 x (.f64 z z))) -1))
(/.f64 (.f64 (neg.f64 z) (+.f64 x x)) (.f64 z (*.f64 z -2)))
(/.f64 (/.f64 (*.f64 -2 (/.f64 x y)) (neg.f64 z)) (/.f64 2 y))
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))
(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 1/6 y))) (.f64 z y))
(/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))) y)
(/.f64 (/.f64 (/.f64 x y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y)))
(neg.f64 (/.f64 x (.f64 z (.f64 y (-.f64 (*.f64 y -1/6) (/.f64 1 y))))))
(neg.f64 (/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6)))) (neg.f64 y)))
(.f64 x (/.f64 (/.f64 1 y) (+.f64 (/.f64 z y) (.f64 y (*.f64 1/6 z)))))
(.f64 (/.f64 1 y) (/.f64 x (.f64 z (+.f64 (/.f64 1 y) (*.f64 1/6 y)))))
(.f64 (/.f64 1 (.f64 y (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))) x)
(.f64 (/.f64 x y) (/.f64 1 (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))))
(.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 y (*.f64 z 1/6)))) (/.f64 1 y))
(/.f64 x (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 (/.f64 1 z) y)))
(/.f64 (/.f64 1 y) (/.f64 (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z))) x))
(.f64 x (.f64 4 (/.f64 (/.f64 1/4 (+.f64 (/.f64 z y) (.f64 y (.f64 1/6 z)))) y)))
(.f64 (/.f64 1 (.f64 y (.f64 (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))) 4))) (.f64 x 4))
(/.f64 (/.f64 (.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (/.f64 x z) z)) (.f64 x (/.f64 z x)))
(.f64 (/.f64 2 (+.f64 (.f64 y (*.f64 z 1/6)) (/.f64 z y))) (/.f64 2 (+.f64 (/.f64 (+.f64 y y) x) (/.f64 (+.f64 y y) x))))

Outputs
(neg.f64 (/.f64 x (.f64 z (.f64 y (-.f64 (*.f64 y -1/6) (/.f64 1 y))))))

Calls

3 calls:

29.0ms	z
28.0ms	x
28.0ms	y

Results

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

Compiler

Compiled 735 to 340 computations (53.7% saved)

regimes81.0ms (0.4%)

Counts

52 → 1

Calls

Call 1

Inputs
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 x (.f64 x z)))
(.f64 z (/.f64 x (.f64 z z)))
(*.f64 (/.f64 (/.f64 y z) y) x)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 2 (*.f64 z (/.f64 2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 z (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 x (/.f64 x z)) x)
(/.f64 (/.f64 1 (/.f64 1 x)) z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
(.f64 (neg.f64 (/.f64 (neg.f64 y) (.f64 y z))) x)
(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
(.f64 (.f64 (/.f64 (/.f64 1 z) y) y) x)
(.f64 (/.f64 (.f64 x x) z) (/.f64 1 x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 z x) z))
(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) z)
(.f64 (neg.f64 z) (.f64 (/.f64 (/.f64 -1 z) z) x))
(/.f64 x (.f64 (.f64 z (neg.f64 z)) (/.f64 -1 z)))
(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 -1 (.f64 (/.f64 -1 z) (.f64 z (/.f64 z x))))
(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 z (*.f64 x z)) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
(.f64 (neg.f64 z) (.f64 4 (*.f64 (/.f64 (/.f64 -1/4 z) z) x)))
(.f64 (neg.f64 z) (+.f64 (-.f64 1 (/.f64 x (.f64 z z))) -1))
(/.f64 (.f64 (neg.f64 z) (+.f64 x x)) (.f64 z (*.f64 z -2)))
(/.f64 (/.f64 (*.f64 -2 (/.f64 x y)) (neg.f64 z)) (/.f64 2 y))
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))
(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 (/.f64 x (+.f64 (/.f64 1 y) (.f64 1/6 y))) (.f64 z y))
(/.f64 (/.f64 x (+.f64 (/.f64 z y) (.f64 1/6 (.f64 y z)))) y)
(/.f64 (/.f64 (/.f64 x y) z) (+.f64 (*.f64 y 1/6) (/.f64 1 y)))

Outputs
(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))

Calls

3 calls:

24.0ms	y
23.0ms	x
22.0ms	z

Results

Error	Segments	Branch
24.9b	1	`x`
24.9b	1	`y`
24.9b	1	`z`

Compiler

Compiled 521 to 229 computations (56% saved)

regimes348.0ms (1.8%)

Counts

48 → 3

Calls

Call 1

Inputs
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 x (.f64 x z)))
(.f64 z (/.f64 x (.f64 z z)))
(*.f64 (/.f64 (/.f64 y z) y) x)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 2 (*.f64 z (/.f64 2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 z (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 x (/.f64 x z)) x)
(/.f64 (/.f64 1 (/.f64 1 x)) z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
(.f64 (neg.f64 (/.f64 (neg.f64 y) (.f64 y z))) x)
(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
(.f64 (.f64 (/.f64 (/.f64 1 z) y) y) x)
(.f64 (/.f64 (.f64 x x) z) (/.f64 1 x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 z x) z))
(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) z)
(.f64 (neg.f64 z) (.f64 (/.f64 (/.f64 -1 z) z) x))
(/.f64 x (.f64 (.f64 z (neg.f64 z)) (/.f64 -1 z)))
(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 -1 (.f64 (/.f64 -1 z) (.f64 z (/.f64 z x))))
(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 z (*.f64 x z)) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
(.f64 (neg.f64 z) (.f64 4 (*.f64 (/.f64 (/.f64 -1/4 z) z) x)))
(.f64 (neg.f64 z) (+.f64 (-.f64 1 (/.f64 x (.f64 z z))) -1))
(/.f64 (.f64 (neg.f64 z) (+.f64 x x)) (.f64 z (*.f64 z -2)))
(/.f64 (/.f64 (*.f64 -2 (/.f64 x y)) (neg.f64 z)) (/.f64 2 y))
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 y (.f64 z 1/6))))
(/.f64 (/.f64 x y) (+.f64 (/.f64 z y) (.f64 (.f64 y z) 1/6)))

Outputs
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))
(/.f64 x z)
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (*.f64 y z)))

Calls

3 calls:

257.0ms	y
41.0ms	x
39.0ms	z

Results

Error	Segments	Branch
27.3b	2	`x`
24.8b	3	`y`
25.8b	2	`z`

Compiler

Compiled 469 to 202 computations (56.9% saved)

bsearch26.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	1.5463295308280994e-40	7.841031349802216e-39
19.0ms	-2.8765257343808425e-7	-3.226648656235162e-9

Results

23.0ms	160×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 257 to 182 computations (29.2% saved)

regimes559.0ms (3%)

Counts

45 → 3

Calls

Call 1

Inputs
(/.f64 x z)
(*.f64 x (/.f64 1 z))
(/.f64 1 (/.f64 z x))
(.f64 x (/.f64 x (.f64 x z)))
(.f64 z (/.f64 x (.f64 z z)))
(*.f64 (/.f64 (/.f64 y z) y) x)
(/.f64 1/2 (*.f64 z (/.f64 1/2 x)))
(/.f64 2 (*.f64 z (/.f64 2 x)))
(/.f64 x (/.f64 (*.f64 z z) z))
(/.f64 z (*.f64 z (/.f64 z x)))
(/.f64 (*.f64 x (/.f64 x z)) x)
(/.f64 (/.f64 1 (/.f64 1 x)) z)
(/.f64 (/.f64 2 z) (/.f64 2 x))
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (/.f64 y z) (/.f64 y x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 x z) (neg.f64 z)))
(.f64 (neg.f64 (/.f64 (neg.f64 y) (.f64 y z))) x)
(.f64 (.f64 (/.f64 y z) (/.f64 1 y)) x)
(.f64 (.f64 (/.f64 (/.f64 1 z) y) y) x)
(.f64 (/.f64 (.f64 x x) z) (/.f64 1 x))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 z x) z))
(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) z)
(.f64 (neg.f64 z) (.f64 (/.f64 (/.f64 -1 z) z) x))
(/.f64 x (.f64 (.f64 z (neg.f64 z)) (/.f64 -1 z)))
(/.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 -1 z))
(.f64 (/.f64 1 x) (.f64 (/.f64 (*.f64 x x) z) 1))
(.f64 (/.f64 z x) (.f64 (/.f64 x z) (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 x z) z) x))
(.f64 (/.f64 z x) (/.f64 x (.f64 z (/.f64 z x))))
(/.f64 -1 (.f64 (/.f64 -1 z) (.f64 z (/.f64 z x))))
(/.f64 z (.f64 x (.f64 (/.f64 z x) (/.f64 z x))))
(/.f64 (/.f64 x (/.f64 z x)) (*.f64 z (/.f64 x z)))
(/.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (/.f64 z (*.f64 x z)) (/.f64 (/.f64 z x) x))
(/.f64 (/.f64 (/.f64 x z) (/.f64 2 x)) (*.f64 x 1/2))
(/.f64 (/.f64 (/.f64 z x) z) (/.f64 (/.f64 z x) x))
(.f64 (neg.f64 z) (.f64 4 (*.f64 (/.f64 (/.f64 -1/4 z) z) x)))
(.f64 (neg.f64 z) (+.f64 (-.f64 1 (/.f64 x (.f64 z z))) -1))
(/.f64 (.f64 (neg.f64 z) (+.f64 x x)) (.f64 z (*.f64 z -2)))
(/.f64 (/.f64 (*.f64 -2 (/.f64 x y)) (neg.f64 z)) (/.f64 2 y))
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x (.f64 y (+.f64 (.f64 1/6 (*.f64 y z)) (/.f64 z y))))
(/.f64 x (.f64 y (+.f64 (/.f64 z y) (.f64 1/6 (*.f64 y z)))))

Outputs
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(/.f64 x z)
(/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))

Calls

3 calls:

338.0ms	y
170.0ms	z
41.0ms	x

Results

Error	Segments	Branch
27.4b	2	`x`
24.8b	3	`y`
25.9b	2	`z`

Compiler

Compiled 430 to 186 computations (56.7% saved)

bsearch86.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	5.81551560739724e-115	1.723678966918504e-109
23.0ms	-21.94050531451553	-2.8765257343808425e-7

Results

79.0ms	288×	body	256	valid
3.0ms	20×	body	256	infinite

Compiler

Compiled 449 to 318 computations (29.2% saved)

regimes403.0ms (2.1%)

Counts

42 → 3

Calls

Call 1

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

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

Calls

3 calls:

172.0ms	z
169.0ms	y
54.0ms	x

Results

Error	Segments	Branch
27.9b	3	`x`
25.2b	3	`y`
28.1b	3	`z`

Compiler

Compiled 391 to 168 computations (57% saved)

bsearch20.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.3042738125552102	1.3307049378711582
19.0ms	-2.9679102851432714e+49	-4.1626906835128585e+47

Results

17.0ms	112×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 150 to 117 computations (22% saved)

regimes60.0ms (0.3%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
23.0ms	x
10.0ms	z

Results

Error	Segments	Branch
28.3b	3	`x`
28.2b	3	`y`
31.0b	1	`z`

Compiler

Compiled 112 to 59 computations (47.3% saved)

bsearch167.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
93.0ms	8.378906082558829e+179	1.695063191421007e+182
74.0ms	-6.086286173655111e+122	-5.537533932809019e+119

Results

87.0ms	73×	body	1024	valid
69.0ms	106×	body	512	valid
7.0ms	61×	body	256	valid
1.0ms	2×	body	512	infinite

Compiler

Compiled 287 to 192 computations (33.1% saved)

regimes52.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
21.0ms	x
7.0ms	z

Results

Error	Segments	Branch
28.8b	3	`x`
28.4b	3	`y`
31.0b	1	`z`

Compiler

Compiled 105 to 57 computations (45.7% saved)

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.3042738125552102	1.3307049378711582
30.0ms	-6.086286173655111e+122	-5.537533932809019e+119

Results

25.0ms	100×	body	512	valid
3.0ms	28×	body	256	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 161 to 108 computations (32.9% saved)

regimes112.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

82.0ms	z
20.0ms	y
7.0ms	x

Results

Error	Segments	Branch
31.0b	1	`x`
28.6b	3	`y`
31.0b	1	`z`

Compiler

Compiled 98 to 54 computations (44.9% saved)

bsearch100.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.3042738125552102	1.3307049378711582
100.0ms	-3.6182622391004936e+179	-1.5346366477516543e+172

Results

90.0ms	96×	body	1024	valid
7.0ms	48×	body	256	valid
1.0ms	4×	body	1024	infinite

Compiler

Compiled 179 to 120 computations (33% saved)

regimes73.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	y
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
31.0b	1	`x`
30.0b	2	`y`
31.0b	1	`z`

Compiler

Compiled 70 to 40 computations (42.9% saved)

bsearch106.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
106.0ms	-3.6182622391004936e+179	-1.5346366477516543e+172

Results

99.0ms	99×	body	1024	valid
5.0ms	45×	body	256	valid
0.0ms	1×	body	1024	infinite

Compiler

Compiled 179 to 120 computations (33% saved)

regimes12.0ms (0.1%)

Accuracy

Total -9.4b remaining (-30.2%)

Threshold costs -9.4b (-30.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 x z)

Calls

3 calls:

4.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
31.0b	1	`x`
31.0b	1	`y`
31.0b	1	`z`

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	890

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) -1000000000000000050555427725995033814228237030803003279020481474722232763977085405824233377105062219252417113236701184) (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) (if (<=.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) 7737125245533627/154742504910672534362390528) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 z -142000000000000000000) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (if (<=.f64 z 738214179045777/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(if (<=.f64 y -1662273001970115/75557863725914323419136) (.f64 x (/.f64 (sin.f64 y) (.f64 y z))) (if (<=.f64 y 6328111796339321/81129638414606681695789005144064) (/.f64 x z) (.f64 x (/.f64 (sin.f64 y) (.f64 y z)))))
(neg.f64 (/.f64 x (.f64 z (.f64 y (-.f64 (*.f64 y -1/6) (/.f64 1 y))))))
(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(if (<=.f64 y -3475661731392059/151115727451828646838272) (/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (.f64 y z))) (if (<=.f64 y 1915619426082361/383123885216472214589586756787577295904684780545900544) (/.f64 x z) (/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (.f64 y z)))))
(if (<=.f64 y -1369486280032197/4722366482869645213696) (/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6))))) (if (<=.f64 y 7192288940437905/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 x z) (/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))))))
(if (<=.f64 y -620000000000000010958495005025906020715308515328) (+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z))) (if (<=.f64 y 5944751508129055/4503599627370496) (/.f64 x z) (+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))))
(if (<=.f64 y -25999999999999998906715523034731352820683711189800486273763608815529801845915937015353806286058601416119539677176581324800) (/.f64 (/.f64 y z) (/.f64 y x)) (if (<=.f64 y 12200000000000000020694506930432839103747937530813160244420363958504306723735570222472716233286455335606245648533275313122684086877353268911655994275907038664044937726300802271674368) (/.f64 x z) (/.f64 (/.f64 y z) (/.f64 y x))))
(if (<=.f64 y -1699999999999999994674628890446035903972230019201001240877764494715827151586489325626677990487047248458351241684402044928) (/.f64 (/.f64 x y) (/.f64 z y)) (if (<=.f64 y 5944751508129055/4503599627370496) (/.f64 x z) (/.f64 z (*.f64 z (/.f64 z x)))))
(if (<=.f64 y -17999999999999998742449867375660556624824978904716736697613641698576644751975058438653643636357492165067090491960056248109549563709576376010260839037534265382730684977643520) (/.f64 z (.f64 z (/.f64 z x))) (if (<=.f64 y 5944751508129055/4503599627370496) (/.f64 x z) (/.f64 z (.f64 z (/.f64 z x)))))
(if (<=.f64 y -15499999999999999393831667749222265078453509548602830022211420639281653077705151654503358645033955206207747414011059198184355970936083687475640444707088104397214498947072000) (.f64 z (/.f64 x (.f64 z z))) (/.f64 x z))
(/.f64 x z)

Outputs
(if (<=.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) -1000000000000000050555427725995033814228237030803003279020481474722232763977085405824233377105062219252417113236701184) (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) (if (<=.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) 7737125245533627/154742504910672534362390528) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 z -142000000000000000000) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (if (<=.f64 z 738214179045777/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(if (<=.f64 y -1662273001970115/75557863725914323419136) (.f64 x (/.f64 (sin.f64 y) (.f64 y z))) (if (<=.f64 y 6328111796339321/81129638414606681695789005144064) (/.f64 x z) (.f64 x (/.f64 (sin.f64 y) (.f64 y z)))))
(neg.f64 (/.f64 x (.f64 z (.f64 y (-.f64 (*.f64 y -1/6) (/.f64 1 y))))))
(/.f64 (/.f64 x z) (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(if (<=.f64 y -3475661731392059/151115727451828646838272) (/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (.f64 y z))) (if (<=.f64 y 1915619426082361/383123885216472214589586756787577295904684780545900544) (/.f64 x z) (/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (.f64 y z)))))
(if (<=.f64 y -1369486280032197/4722366482869645213696) (/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6))))) (if (<=.f64 y 7192288940437905/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 x z) (/.f64 x (.f64 y (.f64 z (+.f64 (/.f64 1 y) (.f64 y 1/6)))))))
(if (<=.f64 y -620000000000000010958495005025906020715308515328) (+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z))) (if (<=.f64 y 5944751508129055/4503599627370496) (/.f64 x z) (+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) z)))))
(if (<=.f64 y -25999999999999998906715523034731352820683711189800486273763608815529801845915937015353806286058601416119539677176581324800) (/.f64 (/.f64 y z) (/.f64 y x)) (if (<=.f64 y 12200000000000000020694506930432839103747937530813160244420363958504306723735570222472716233286455335606245648533275313122684086877353268911655994275907038664044937726300802271674368) (/.f64 x z) (/.f64 (/.f64 y z) (/.f64 y x))))
(if (<=.f64 y -1699999999999999994674628890446035903972230019201001240877764494715827151586489325626677990487047248458351241684402044928) (/.f64 (/.f64 x y) (/.f64 z y)) (if (<=.f64 y 5944751508129055/4503599627370496) (/.f64 x z) (/.f64 z (*.f64 z (/.f64 z x)))))
(if (<=.f64 y -17999999999999998742449867375660556624824978904716736697613641698576644751975058438653643636357492165067090491960056248109549563709576376010260839037534265382730684977643520) (/.f64 z (.f64 z (/.f64 z x))) (if (<=.f64 y 5944751508129055/4503599627370496) (/.f64 x z) (/.f64 z (.f64 z (/.f64 z x)))))
(if (<=.f64 y -15499999999999999393831667749222265078453509548602830022211420639281653077705151654503358645033955206207747414011059198184355970936083687475640444707088104397214498947072000) (.f64 z (/.f64 x (.f64 z z))) (/.f64 x z))
(/.f64 x z)

Compiler

Compiled 375 to 203 computations (45.9% saved)

soundness255.0ms (1.3%)

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 46 to 20 computations (56.5% saved)

end155.0ms (0.8%)

Compiler: Compiled 336 to 139 computations (58.6% saved)