Details

analyze139.0ms (3.9%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	5
30.8%	25%	56.2%	0.1%	18.7%	0%	0%	6
38.1%	25%	40.6%	0.1%	34.3%	0%	0%	7
50%	31.2%	31.2%	0.1%	37.5%	0%	0%	8
64.9%	39%	21.1%	0.1%	39.8%	0%	0%	9
72.8%	42.9%	16%	0.1%	41%	0%	0%	10
81.5%	47.2%	10.7%	0.1%	42%	0%	0%	11
85.9%	49.4%	8.1%	0.1%	42.4%	0%	0%	12

Compiler

Compiled 10 to 5 computations (50% saved)

sample2.3s (62.6%)

Results

2.2s	8256×	body	256	valid
21.0ms	177×	body	256	infinite

Bogosity

preprocess11.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`
2×	`swap-x-y`
2×	`rational.json-simplify-73`
2×	`rational.json-simplify-71`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	10	38
2	12	38
3	14	38
4	18	38
5	18	38
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 y x))
(*.f64 (+.f64 x y) (+.f64 x y))

Symmetry

(sort x y)

Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify27.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-73`
2×	`rational.json-simplify-71`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	9	19
2	11	19
3	13	19
4	17	19
5	17	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))

eval1.0ms (0%)

Compiler: Compiled 9 to 4 computations (55.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 4 computations (71.4% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite110.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`rational.json-5`
1434×	`exponential.json-3`
1434×	`rational.json-1`
1434×	`rational.json-2`
1434×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	53	19
2	191	19
3	696	19
4	2838	19

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

Outputs

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

simplify169.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1882×	`rational.json-simplify-47`
1260×	`rational.json-simplify-111`
1152×	`rational.json-simplify-49`
1090×	`rational.json-simplify-50`
1046×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1269
1	217	1269
2	370	1269
3	1167	1269
4	4326	1269

Stop Event

1×	node limit

Counts

55 → 48

Calls

Call 1

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

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

eval14.0ms (0.4%)

Compiler: Compiled 665 to 189 computations (71.6% saved)

prune16.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	2	49

Error

0.0b

Counts

49 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.8b	(+.f64 (pow.f64 y 2) (.f64 y (.f64 x 2)))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 20 to 12 computations (40% saved)

localize18.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 y 2) (.f64 y (.f64 x 2)))
✓	0.0b	(pow.f64 y 2)

Compiler

Compiled 25 to 16 computations (36% saved)

series8.0ms (0.2%)

Counts

2 → 24

Calls

9 calls:

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

rewrite103.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1990×	`rational.json-5`
1988×	`rational.json-1`
1988×	`rational.json-2`
1988×	`rational.json-4`
1988×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	78	32
2	260	32
3	969	32
4	3843	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (.f64 y (.f64 x 2)))

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

Outputs

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

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

simplify208.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1494×	`rational.json-simplify-47`
1130×	`rational.json-simplify-49`
1068×	`rational.json-simplify-2`
860×	`rational.json-simplify-50`
806×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	876
1	103	876
2	291	876
3	1476	876
4	5777	876

Stop Event

1×	node limit

Counts

48 → 29

Calls

Call 1

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

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

eval16.0ms (0.4%)

Compiler: Compiled 513 to 274 computations (46.6% saved)

prune12.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	28	3	31

Error

0.0b

Counts

31 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.8b	(+.f64 (pow.f64 y 2) (.f64 y (.f64 x 2)))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
▶	53.6b	(.f64 2 (.f64 y x))

Compiler

Compiled 27 to 17 computations (37% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite96.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational.json-5`
1518×	`exponential.json-3`
1518×	`rational.json-1`
1518×	`rational.json-2`
1518×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	61	13
2	208	13
3	766	13
4	2950	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 2 (.f64 y x))

Outputs

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

simplify258.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational.json-simplify-43`
944×	`rational.json-simplify-104`
928×	`rational.json-simplify-79`
900×	`rational.json-simplify-73`
816×	`rational.json-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	183
1	54	177
2	120	177
3	318	177
4	887	171
5	3307	171
6	4965	171
7	6098	171
8	7552	171

Stop Event

1×	node limit

Counts

11 → 23

Calls

Call 1

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

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

eval6.0ms (0.2%)

Compiler: Compiled 193 to 86 computations (55.4% saved)

prune12.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	22	4	26

Error

0.0b

Counts

26 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.8b	(+.f64 (pow.f64 y 2) (.f64 y (.f64 x 2)))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
▶	53.6b	(*.f64 y (+.f64 x x))
✓	53.6b	(.f64 2 (.f64 y x))

Compiler

Compiled 34 to 21 computations (38.2% saved)

localize8.0ms (0.2%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Error

0.0b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.8b	(+.f64 (pow.f64 y 2) (.f64 y (.f64 x 2)))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
✓	53.6b	(*.f64 y (+.f64 x x))
✓	53.6b	(.f64 2 (.f64 y x))

Compiler

Compiled 34 to 21 computations (38.2% saved)

regimes38.0ms (1%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 2 (.f64 y x))
(*.f64 y (+.f64 x x))
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 (pow.f64 y 2) (.f64 y (.f64 x 2)))

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))

Calls

4 calls:

10.0ms	(+.f64 x y)
10.0ms	y
8.0ms	x
7.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 48 to 26 computations (45.8% saved)

regimes16.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 2 (.f64 y x))
(*.f64 y (+.f64 x x))

Outputs
(.f64 2 (.f64 y x))

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

Error	Segments	Branch
53.6b	1	`x`
53.6b	1	`y`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(.f64 2 (.f64 y x))

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(.f64 2 (.f64 y x))

Compiler

Compiled 16 to 9 computations (43.8% saved)

soundness0.0ms (0%)

end31.0ms (0.9%)

Remove: (sort x y)
Compiler: Compiled 32 to 15 computations (53.1% saved)

Details

analyze139.0ms (3.9%)

sample2.3s (62.6%)

preprocess11.0ms (0.3%)

simplify27.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite110.0ms (3.1%)

simplify169.0ms (4.7%)

eval14.0ms (0.4%)

prune16.0ms (0.4%)

localize18.0ms (0.5%)

series8.0ms (0.2%)

rewrite103.0ms (2.9%)

simplify208.0ms (5.8%)

eval16.0ms (0.4%)

prune12.0ms (0.3%)

localize9.0ms (0.2%)

series2.0ms (0.1%)

rewrite96.0ms (2.7%)

simplify258.0ms (7.2%)

eval6.0ms (0.2%)

prune12.0ms (0.3%)

localize8.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes38.0ms (1%)

regimes16.0ms (0.4%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end31.0ms (0.9%)

Profiling