Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample806.0ms (61.7%)

Results

796.0ms

8256×

body

256

valid

Bogosity

preprocess133.0ms (10.2%)

Algorithm

2×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
988×	`rational.json-simplify-39`
866×	`rational.json-simplify-59`
722×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	10	13
2	15	13
3	33	13
4	181	13
5	1949	13
6	5910	13
7	7810	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify133.0ms (10.2%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
988×	`rational.json-simplify-39`
866×	`rational.json-simplify-59`
722×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	10	13
2	15	13
3	33	13
4	181	13
5	1949	13
6	5910	13
7	7810	13

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 11 to 6 computations (45.5% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (*.f64 x x) 1)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) 1)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite90.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`rational.json-simplify-2`
1298×	`rational.json-1`
1298×	`rational.json-2`
1298×	`rational.json-4`
1298×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	51	13
2	132	13
3	286	13
4	1098	13
5	4287	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify99.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational.json-simplify-2`
1002×	`rational.json-simplify-1`
854×	`rational.json-simplify-46`
834×	`rational.json-simplify-50`
772×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	411
1	98	407
2	219	407
3	607	407
4	1864	395
5	4633	395
6	6663	395

Stop Event

1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

eval5.0ms (0.3%)

Compiler: Compiled 230 to 144 computations (37.4% saved)

prune4.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

0.0b

Counts

30 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) 1)
	22.5b	-1

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 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	(-.f64 (*.f64 x x) 1)
	22.5b	-1

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 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	(-.f64 (*.f64 x x) 1)
	22.5b	-1

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 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	(-.f64 (*.f64 x x) 1)
	22.5b	-1

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.6%)

Accuracy

Total -22.5b remaining (-577097.5%)

Threshold costs -22.5b (-577097.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x x) 1)

Calls

3 calls:

3.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(-.f64 (*.f64 x x) 1)

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x x) 1)
-1

Compiler

Compiled 8 to 6 computations (25% saved)

soundness0.0ms (0%)

end14.0ms (1.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

Details

analyze4.0ms (0.3%)

sample806.0ms (61.7%)

preprocess133.0ms (10.2%)

simplify133.0ms (10.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series1.0ms (0%)

rewrite90.0ms (6.9%)

simplify99.0ms (7.6%)

eval5.0ms (0.3%)

prune4.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes8.0ms (0.6%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end14.0ms (1.1%)

Profiling