Details

analyze25.0ms (1.7%)

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	6.2%	0%	0%	6
75%	65.6%	21.9%	0.1%	12.5%	0%	0%	7
79.6%	67.1%	17.2%	0.1%	15.6%	0%	0%	8
86.5%	70.2%	10.9%	0.1%	18.7%	0%	0%	9
89.2%	71%	8.6%	0.1%	20.3%	0%	0%	10
93%	72.6%	5.5%	0.1%	21.9%	0%	0%	11
94.4%	73%	4.3%	0.1%	22.6%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample714.0ms (47.4%)

Results

675.0ms	8256×	body	256	valid
22.0ms	264×	body	256	infinite

Bogosity

preprocess155.0ms (10.3%)

Algorithm

2×	egg-herbie

Rules

1146×	`rational.json-simplify-2`
944×	`rational.json-simplify-19`
912×	`rational.json-simplify-44`
890×	`rational.json-simplify-37`
816×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	14	34
2	18	34
3	22	34
4	30	34
5	70	34
6	378	34
7	3949	34
8	6179	34
9	7213	34
10	7871	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 (.f64 y x) x))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 y (.f64 x y)))
(exp.f64 (.f64 x (.f64 y y)))
(exp.f64 (.f64 (.f64 y x) x))
(exp.f64 (.f64 x (.f64 x y)))
(exp.f64 (.f64 y (.f64 x x)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify149.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
1022×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`
610×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	10	17
2	12	17
3	14	17
4	18	17
5	38	17
6	191	17
7	1970	17
8	5942	17
9	7797	17

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 y (.f64 x y)))
(exp.f64 (.f64 x (.f64 y y)))

eval1.0ms (0%)

Compiler: Compiled 20 to 10 computations (50% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(exp.f64 (.f64 x (.f64 y y)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (.f64 x (.f64 y y)))
✓	6.5b	(.f64 x (.f64 y y))

Compiler

Compiled 18 to 5 computations (72.2% saved)

series3.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2028×	`rational.json-simplify-35`
1126×	`rational.json-1`
1126×	`rational.json-2`
1126×	`rational.json-4`
1126×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	54	30
2	131	30
3	326	30
4	1179	30
5	3945	30

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(.f64 x (.f64 y y))
(exp.f64 (.f64 x (.f64 y y)))

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

Outputs

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

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

simplify97.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational.json-simplify-54`
1238×	`rational.json-simplify-2`
1016×	`rational.json-simplify-1`
994×	`rational.json-simplify-51`
598×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1455
1	290	1455
2	836	1455
3	3604	1455
4	7833	1455

Stop Event

1×	node limit

Counts

87 → 56

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
1
(+.f64 1 (*.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 1 (*.f64 (pow.f64 y 2) x))))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
1
(+.f64 1 (*.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 1 (*.f64 (pow.f64 y 2) x))))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(+.f64 (.f64 x (.f64 y y)) 0)
(+.f64 0 (.f64 x (.f64 y y)))
(+.f64 (/.f64 (.f64 x (.f64 y y)) 2) (/.f64 (.f64 x (.f64 y y)) 2))
(-.f64 (.f64 x (.f64 y y)) 0)
(/.f64 x (/.f64 1 (*.f64 y y)))
(/.f64 x (/.f64 (/.f64 (+.f64 y y) (.f64 (.f64 y (*.f64 y y)) (/.f64 y y))) 2))
(/.f64 x (/.f64 (/.f64 (.f64 y 4) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 4))
(/.f64 (.f64 x (.f64 y y)) 1)
(/.f64 (.f64 x (.f64 y (+.f64 y y))) 2)
(/.f64 (+.f64 x x) (.f64 2 (/.f64 1 (.f64 y y))))
(/.f64 (+.f64 x x) (+.f64 (/.f64 (/.f64 (+.f64 y y) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 2) (/.f64 (/.f64 (+.f64 y y) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 2)))
(/.f64 (+.f64 x x) (+.f64 (/.f64 (/.f64 (.f64 y 4) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 4) (/.f64 (/.f64 (.f64 y 4) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 4)))
(/.f64 (.f64 (.f64 y y) (*.f64 x 4)) 4)
(/.f64 (.f64 x 4) (.f64 2 (.f64 2 (/.f64 1 (.f64 y y)))))
(/.f64 (*.f64 x (fabs.f64 y)) (/.f64 1 (fabs.f64 y)))
(/.f64 (.f64 2 (.f64 (.f64 y y) (.f64 x 4))) 8)
(/.f64 (.f64 x (.f64 2 (fabs.f64 y))) (*.f64 2 (/.f64 1 (fabs.f64 y))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y y) (*.f64 x 4)))) 16)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1 (*.f64 y y))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 y y) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (.f64 y y) (.f64 x 4))))) 32)
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 1 (.f64 y y))) (neg.f64 (/.f64 1 (.f64 y y)))))
(pow.f64 (.f64 x (.f64 y y)) 1)
(+.f64 (exp.f64 (.f64 x (.f64 y y))) 0)
(+.f64 0 (exp.f64 (.f64 x (.f64 y y))))
(+.f64 (/.f64 (exp.f64 (.f64 x (.f64 y y))) 2) (/.f64 (exp.f64 (.f64 x (.f64 y y))) 2))
(-.f64 (exp.f64 (.f64 x (.f64 y y))) 0)
(.f64 (exp.f64 (.f64 x (*.f64 y y))) 1)
(.f64 1 (exp.f64 (.f64 x (*.f64 y y))))
(.f64 2 (/.f64 (exp.f64 (.f64 x (*.f64 y y))) 2))
(.f64 (.f64 (exp.f64 (.f64 x (.f64 y y))) 2) 1/2)
(.f64 1/2 (.f64 (exp.f64 (.f64 x (.f64 y y))) 2))
(.f64 (/.f64 (exp.f64 (.f64 x (*.f64 y y))) 2) 2)
(/.f64 (exp.f64 (.f64 x (.f64 y y))) 1)
(/.f64 (.f64 (exp.f64 (.f64 x (*.f64 y y))) 2) 2)
(/.f64 (.f64 (exp.f64 (.f64 x (*.f64 y y))) 4) 4)
(/.f64 (.f64 2 (.f64 (exp.f64 (.f64 x (.f64 y y))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (*.f64 y y))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (.f64 y y))) 4))) (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (.f64 y y))) 4)))) 32)
(pow.f64 (exp.f64 (.f64 x (.f64 y y))) 1)

Outputs
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
1
(+.f64 1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 (pow.f64 y 2) x) 1)
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (+.f64 (.f64 (pow.f64 y 2) x) 1) (.f64 1/2 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) (pow.f64 x 2))) 1))
(+.f64 (+.f64 (.f64 (pow.f64 y 2) x) 1) (.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 y 4))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 1 (*.f64 (pow.f64 y 2) x))))
(+.f64 (+.f64 (+.f64 (.f64 (pow.f64 y 2) x) 1) (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2)))) (.f64 1/6 (*.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) 1)) (.f64 1/6 (*.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 1 (.f64 1/6 (*.f64 (pow.f64 y 6) (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (+.f64 1 (.f64 (pow.f64 y 6) (.f64 1/6 (pow.f64 x 3)))) (.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 y 4)))))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 y 4))) (+.f64 1 (.f64 (pow.f64 y 6) (*.f64 1/6 (pow.f64 x 3))))))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
1
(+.f64 1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 (pow.f64 y 2) x) 1)
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (+.f64 (.f64 (pow.f64 y 2) x) 1) (.f64 1/2 (*.f64 (pow.f64 y 4) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) (pow.f64 x 2))) 1))
(+.f64 (+.f64 (.f64 (pow.f64 y 2) x) 1) (.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 y 4))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 6) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 1 (*.f64 (pow.f64 y 2) x))))
(+.f64 (+.f64 (+.f64 (.f64 (pow.f64 y 2) x) 1) (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2)))) (.f64 1/6 (*.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) 1)) (.f64 1/6 (*.f64 (pow.f64 y 6) (pow.f64 x 3))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 1 (.f64 1/6 (*.f64 (pow.f64 y 6) (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (+.f64 1 (.f64 (pow.f64 y 6) (.f64 1/6 (pow.f64 x 3)))) (.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 y 4)))))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 y 4))) (+.f64 1 (.f64 (pow.f64 y 6) (*.f64 1/6 (pow.f64 x 3))))))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(exp.f64 (*.f64 (pow.f64 y 2) x))
(+.f64 (.f64 x (.f64 y y)) 0)
(.f64 y (.f64 y x))
(+.f64 0 (.f64 x (.f64 y y)))
(.f64 y (.f64 y x))
(+.f64 (/.f64 (.f64 x (.f64 y y)) 2) (/.f64 (.f64 x (.f64 y y)) 2))
(.f64 y (.f64 y x))
(-.f64 (.f64 x (.f64 y y)) 0)
(.f64 y (.f64 y x))
(/.f64 x (/.f64 1 (*.f64 y y)))
(.f64 y (.f64 y x))
(/.f64 x (/.f64 (/.f64 (+.f64 y y) (.f64 (.f64 y (*.f64 y y)) (/.f64 y y))) 2))
(.f64 y (.f64 y x))
(/.f64 x (/.f64 (/.f64 (.f64 y 4) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 4))
(.f64 y (.f64 y x))
(/.f64 (.f64 x (.f64 y y)) 1)
(.f64 y (.f64 y x))
(/.f64 (.f64 x (.f64 y (+.f64 y y))) 2)
(.f64 y (.f64 y x))
(/.f64 (+.f64 x x) (.f64 2 (/.f64 1 (.f64 y y))))
(.f64 y (.f64 y x))
(/.f64 (+.f64 x x) (+.f64 (/.f64 (/.f64 (+.f64 y y) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 2) (/.f64 (/.f64 (+.f64 y y) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 2)))
(.f64 y (.f64 y x))
(/.f64 (+.f64 x x) (+.f64 (/.f64 (/.f64 (.f64 y 4) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 4) (/.f64 (/.f64 (.f64 y 4) (.f64 (.f64 y (.f64 y y)) (/.f64 y y))) 4)))
(.f64 y (.f64 y x))
(/.f64 (.f64 (.f64 y y) (*.f64 x 4)) 4)
(.f64 y (.f64 y x))
(/.f64 (.f64 x 4) (.f64 2 (.f64 2 (/.f64 1 (.f64 y y)))))
(.f64 y (.f64 y x))
(/.f64 (*.f64 x (fabs.f64 y)) (/.f64 1 (fabs.f64 y)))
(.f64 y (.f64 y x))
(/.f64 (.f64 2 (.f64 (.f64 y y) (.f64 x 4))) 8)
(.f64 y (.f64 y x))
(/.f64 (.f64 x (.f64 2 (fabs.f64 y))) (*.f64 2 (/.f64 1 (fabs.f64 y))))
(.f64 y (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y y) (*.f64 x 4)))) 16)
(.f64 y (.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1 (*.f64 y y))))
(.f64 y (.f64 y x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 y y) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (.f64 y y) (.f64 x 4))))) 32)
(.f64 y (.f64 y x))
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 1 (.f64 y y))) (neg.f64 (/.f64 1 (.f64 y y)))))
(.f64 y (.f64 y x))
(pow.f64 (.f64 x (.f64 y y)) 1)
(.f64 y (.f64 y x))
(+.f64 (exp.f64 (.f64 x (.f64 y y))) 0)
(exp.f64 (.f64 y (.f64 y x)))
(+.f64 0 (exp.f64 (.f64 x (.f64 y y))))
(exp.f64 (.f64 y (.f64 y x)))
(+.f64 (/.f64 (exp.f64 (.f64 x (.f64 y y))) 2) (/.f64 (exp.f64 (.f64 x (.f64 y y))) 2))
(exp.f64 (.f64 y (.f64 y x)))
(-.f64 (exp.f64 (.f64 x (.f64 y y))) 0)
(exp.f64 (.f64 y (.f64 y x)))
(.f64 (exp.f64 (.f64 x (*.f64 y y))) 1)
(exp.f64 (.f64 y (.f64 y x)))
(.f64 1 (exp.f64 (.f64 x (*.f64 y y))))
(exp.f64 (.f64 y (.f64 y x)))
(.f64 2 (/.f64 (exp.f64 (.f64 x (*.f64 y y))) 2))
(exp.f64 (.f64 y (.f64 y x)))
(.f64 (.f64 (exp.f64 (.f64 x (.f64 y y))) 2) 1/2)
(exp.f64 (.f64 y (.f64 y x)))
(.f64 1/2 (.f64 (exp.f64 (.f64 x (.f64 y y))) 2))
(exp.f64 (.f64 y (.f64 y x)))
(.f64 (/.f64 (exp.f64 (.f64 x (*.f64 y y))) 2) 2)
(exp.f64 (.f64 y (.f64 y x)))
(/.f64 (exp.f64 (.f64 x (.f64 y y))) 1)
(exp.f64 (.f64 y (.f64 y x)))
(/.f64 (.f64 (exp.f64 (.f64 x (*.f64 y y))) 2) 2)
(exp.f64 (.f64 y (.f64 y x)))
(/.f64 (.f64 (exp.f64 (.f64 x (*.f64 y y))) 4) 4)
(exp.f64 (.f64 y (.f64 y x)))
(/.f64 (.f64 2 (.f64 (exp.f64 (.f64 x (.f64 y y))) 4)) 8)
(exp.f64 (.f64 y (.f64 y x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (*.f64 y y))) 4))) 16)
(exp.f64 (.f64 y (.f64 y x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (.f64 y y))) 4))) (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (.f64 y y))) 4)))) 32)
(exp.f64 (.f64 y (.f64 y x)))
(pow.f64 (exp.f64 (.f64 x (.f64 y y))) 1)
(exp.f64 (.f64 y (.f64 y x)))

eval14.0ms (0.9%)

Compiler: Compiled 781 to 433 computations (44.6% saved)

prune10.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Error

0.0b

Counts

57 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (.f64 x (.f64 y y)))
	17.1b	1

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	1	1
Total	2	2

Error

0.0b

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (.f64 x (.f64 y y)))
	17.1b	1

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	1	1
Total	2	2

Error

0.0b

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (.f64 x (.f64 y y)))
	17.1b	1

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	1	1
Total	2	2

Error

0.0b

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (.f64 x (.f64 y y)))
	17.1b	1

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.8%)

Accuracy

Total -17.1b remaining (-155876.5%)

Threshold costs -17.1b (-155876.5%)

Counts

3 → 1

Calls

Call 1

Inputs
1
(exp.f64 (.f64 x (.f64 y y)))
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 x (.f64 y y)))

Calls

4 calls:

3.0ms	y
3.0ms	x
3.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(exp.f64 (.f64 (.f64 x y) y))`
0.0b	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 36 to 22 computations (38.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 x (.f64 y y)))
1

Outputs
(exp.f64 (.f64 x (.f64 y y)))
1

Compiler

Compiled 11 to 8 computations (27.3% saved)

soundness233.0ms (15.5%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
1022×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`
610×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	10	17
2	12	17
3	14	17
4	18	17
5	38	17
6	191	17
7	1970	17
8	5942	17
9	7797	17

Stop Event

1×	node limit

Compiler

Compiled 20 to 10 computations (50% saved)

end13.0ms (0.9%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

Details

analyze25.0ms (1.7%)

sample714.0ms (47.4%)

preprocess155.0ms (10.3%)

simplify149.0ms (9.9%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series3.0ms (0.2%)

rewrite70.0ms (4.7%)

simplify97.0ms (6.4%)

eval14.0ms (0.9%)

prune10.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes12.0ms (0.8%)

simplify2.0ms (0.1%)

soundness233.0ms (15.5%)

end13.0ms (0.9%)

Profiling