Details

analyze49.0ms (2.3%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	7
60.7%	53.1%	34.3%	0.1%	12.5%	0%	0%	8
71.2%	57.8%	23.4%	0.1%	18.7%	0%	0%	9
77.9%	63.2%	18%	0.1%	18.7%	0%	0%	10
84.5%	66%	12.1%	0.1%	21.9%	0%	0%	11
88.3%	68.9%	9.2%	0.1%	21.9%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample700.0ms (32.4%)

Results

662.0ms	8256×	body	256	valid
25.0ms	322×	body	256	infinite

Bogosity

preprocess151.0ms (7%)

Algorithm

2×	egg-herbie

Rules

1088×	`rational.json-simplify-2`
922×	`rational.json-simplify-44`
906×	`rational.json-simplify-37`
844×	`rational.json-simplify-39`
820×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	21	38
2	29	38
3	65	38
4	361	38
5	3916	38
6	6211	38
7	7296	38
8	7968	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify139.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1010×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
716×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	14	19
2	18	19
3	36	19
4	185	19
5	1965	19
6	5909	19
7	7834	19

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

7.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.1b	(.f64 x (-.f64 (.f64 y y) -1))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.6b	(.f64 x (-.f64 (.f64 y y) -1))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (-.f64 (.f64 y y) -1))
1.0ms	y	@	0	(.f64 x (-.f64 (.f64 y y) -1))
0.0ms	x	@	inf	(.f64 x (-.f64 (.f64 y y) -1))
0.0ms	y	@	inf	(.f64 x (-.f64 (.f64 y y) -1))
0.0ms	x	@	-inf	(.f64 x (-.f64 (.f64 y y) -1))

rewrite68.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1976×	`rational.json-simplify-35`
1366×	`rational.json-1`
1366×	`rational.json-2`
1366×	`rational.json-4`
1366×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	57	19
2	134	19
3	306	19
4	1145	19
5	4455	19

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify108.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational.json-simplify-51`
1084×	`rational.json-simplify-59`
1040×	`rational.json-simplify-1`
894×	`rational.json-simplify-53`
764×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	635
1	95	635
2	184	635
3	398	635
4	1323	635
5	4940	635
6	7347	635

Stop Event

1×	node limit

Counts

35 → 17

Calls

Call 1

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

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

eval3.0ms (0.1%)

Compiler: Compiled 179 to 113 computations (36.9% saved)

prune4.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Error

6.9b

Counts

18 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.1b	(+.f64 (*.f64 (pow.f64 y 2) x) x)
✓	7.1b	(.f64 x (-.f64 (.f64 y y) -1))
	21.8b	x

Compiler

Compiled 21 to 14 computations (33.3% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.2b	(*.f64 (pow.f64 y 2) x)

Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite216.0ms (10%)

Algorithm

1×	batch-egg-rewrite

Rules

2314×	`rational.json-simplify-2`
1668×	`rational.json-simplify-35`
1356×	`rational.json-1`
1356×	`rational.json-2`
1356×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	98	13
3	190	13
4	334	13
5	732	13
6	1767	13
7	3086	13
8	3762	13
9	4514	13
10	5525	13
11	6106	13
12	6106	13
13	7431	13

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 y 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 y 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 y 2) (.f64 x 1/2)) (.f64 (pow.f64 y 2) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 y 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 y 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 y 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 y 2) (.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 y 2) (.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8)))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 2) x) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 y 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) (*.f64 x 1/2)) (*.f64 (pow.f64 y 2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 y 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 y 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (*.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 x 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 x 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 x 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 x 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 x 8)))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 2) x) 1)))))

simplify437.0ms (20.2%)

Algorithm

1×	egg-herbie

Rules

3016×	`rational.json-simplify-2`
2368×	`rational.json-simplify-35`
1646×	`rational.json-simplify-53`
1350×	`exponential.json-simplify-26`
1012×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	195
1	130	195
2	256	195
3	590	195
4	2459	195
5	4075	195
6	4591	195
7	4726	195
8	4830	195
9	4931	195
10	5652	195
11	6493	195
12	6930	195
13	7029	195
14	7029	195
15	7128	195
16	7227	195
17	7987	195

Stop Event

1×	node limit

Counts

15 → 16

Calls

Call 1

Inputs
(+.f64 (*.f64 (pow.f64 y 2) x) 0)
(+.f64 0 (*.f64 (pow.f64 y 2) x))
(+.f64 (.f64 (pow.f64 y 2) (.f64 x 1/2)) (.f64 (pow.f64 y 2) (.f64 x 1/2)))
(-.f64 (*.f64 (pow.f64 y 2) x) 0)
(/.f64 (*.f64 (pow.f64 y 2) x) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) x)) 2)
(/.f64 (.f64 (pow.f64 y 2) (.f64 x 4)) 4)
(/.f64 (.f64 (pow.f64 y 2) (.f64 x 8)) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) (*.f64 x 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (*.f64 x 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (*.f64 x 8))))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8)))))))) 512)
(pow.f64 (*.f64 (pow.f64 y 2) x) 1)

Outputs
(+.f64 (*.f64 (pow.f64 y 2) x) 0)
(*.f64 (pow.f64 y 2) x)
(+.f64 0 (*.f64 (pow.f64 y 2) x))
(*.f64 (pow.f64 y 2) x)
(+.f64 (.f64 (pow.f64 y 2) (.f64 x 1/2)) (.f64 (pow.f64 y 2) (.f64 x 1/2)))
(*.f64 (pow.f64 y 2) x)
(-.f64 (*.f64 (pow.f64 y 2) x) 0)
(*.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 (pow.f64 y 2) x) 1)
(*.f64 (pow.f64 y 2) x)
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) x)) 2)
(*.f64 (pow.f64 y 2) x)
(/.f64 (.f64 (pow.f64 y 2) (.f64 x 4)) 4)
(*.f64 (pow.f64 y 2) x)
(/.f64 (.f64 (pow.f64 y 2) (.f64 x 8)) 8)
(*.f64 (pow.f64 y 2) x)
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) (*.f64 x 8))) 16)
(*.f64 (pow.f64 y 2) x)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8)))) 32)
(*.f64 (pow.f64 y 2) x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (*.f64 x 8))))) 64)
(*.f64 (pow.f64 y 2) x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8)))))) 128)
(*.f64 (pow.f64 y 2) x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (*.f64 x 8))))))) 256)
(*.f64 (pow.f64 y 2) x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 x 8)))))))) 512)
(*.f64 (pow.f64 y 2) x)
(pow.f64 (*.f64 (pow.f64 y 2) x) 1)
(*.f64 (pow.f64 y 2) x)

eval4.0ms (0.2%)

Compiler: Compiled 212 to 162 computations (23.6% saved)

prune4.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Error

6.9b

Counts

19 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.1b	(+.f64 (*.f64 (pow.f64 y 2) x) x)
✓	7.1b	(.f64 x (-.f64 (.f64 y y) -1))
	21.8b	x

Compiler

Compiled 21 to 14 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

6.9b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.1b	(+.f64 (*.f64 (pow.f64 y 2) x) x)
✓	7.1b	(.f64 x (-.f64 (.f64 y y) -1))
	21.8b	x

Compiler

Compiled 21 to 14 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

6.9b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.1b	(+.f64 (*.f64 (pow.f64 y 2) x) x)
✓	7.1b	(.f64 x (-.f64 (.f64 y y) -1))
	21.8b	x

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes18.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	y
4.0ms	x
4.0ms	(.f64 x (+.f64 1 (.f64 y y)))
3.0ms	(*.f64 y y)
2.0ms	(+.f64 1 (*.f64 y y))

Results

Error	Segments	Branch
7.1b	1	`x`
7.1b	1	`y`
7.1b	1	`(.f64 x (+.f64 1 (.f64 y y)))`
7.1b	1	`(+.f64 1 (*.f64 y y))`
7.1b	1	`(*.f64 y y)`

Compiler

Compiled 51 to 31 computations (39.2% saved)

regimes17.0ms (0.8%)

Accuracy

Total -14.9b remaining (-211.3%)

Threshold costs -14.9b (-211.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
3.0ms	(.f64 x (+.f64 1 (.f64 y y)))
3.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(+.f64 1 (*.f64 y y))

Results

Error	Segments	Branch
7.1b	1	`x`
7.1b	1	`y`
7.1b	1	`(.f64 x (+.f64 1 (.f64 y y)))`
7.1b	1	`(+.f64 1 (*.f64 y y))`
7.1b	1	`(*.f64 y y)`

Compiler

Compiled 44 to 27 computations (38.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

soundness194.0ms (9%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1010×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
716×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	14	19
2	18	19
3	36	19
4	185	19
5	1965	19
6	5909	19
7	7834	19

Stop Event

1×	node limit

Compiler

Compiled 16 to 9 computations (43.8% saved)

end19.0ms (0.9%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

Details

analyze49.0ms (2.3%)

sample700.0ms (32.4%)

preprocess151.0ms (7%)

simplify139.0ms (6.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite68.0ms (3.2%)

simplify108.0ms (5%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

localize8.0ms (0.4%)

series1.0ms (0.1%)

rewrite216.0ms (10%)

simplify437.0ms (20.2%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes18.0ms (0.8%)

regimes17.0ms (0.8%)

simplify2.0ms (0.1%)

soundness194.0ms (9%)

end19.0ms (0.9%)

Profiling