Metrics for Cubic critical, medium range

analyze188.0ms (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
7.1%	0%	0%	100%	0%	0%	0%	5
20.8%	0%	0%	100%	0%	0%	0%	6
29.5%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
50.6%	0%	0%	100%	0%	0%	0%	9
58.2%	0%	0%	100%	0%	0%	0%	10
63.3%	0%	0%	100%	0%	0%	0%	11
72.3%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 43 to 31 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

Operation ival-mult, time spent: 36.0ms, 29.0% of total-time

Operation ival-<, time spent: 35.0ms, 28.0% of total-time

Operation ival-sqrt, time spent: 13.0ms, 10.0% of total-time

Operation ival-add, time spent: 8.0ms, 6.0% of total-time

Operation ival-sub, time spent: 8.0ms, 6.0% of total-time

Operation ival-div, time spent: 7.0ms, 6.0% of total-time

Operation ival-neg, time spent: 7.0ms, 6.0% of total-time

Operation const, time spent: 5.0ms, 4.0% of total-time

Operation ival-and, time spent: 5.0ms, 4.0% of total-time

sample3.4s (50.8%)

Results

1.3s	5384×	0	valid
1.3s	2871×	1	valid
231.0ms	1167×	0	invalid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

Operation ival-mult, time spent: 427.0ms, 23.0% of total-time

Operation ival-<, time spent: 357.0ms, 20.0% of total-time

Operation ival-sub, time spent: 254.0ms, 14.0% of total-time

Operation ival-add, time spent: 247.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 179.0ms, 10.0% of total-time

Operation ival-div, time spent: 113.0ms, 6.0% of total-time

Operation ival-and, time spent: 83.0ms, 5.0% of total-time

Operation ival-neg, time spent: 83.0ms, 5.0% of total-time

Operation const, time spent: 79.0ms, 4.0% of total-time

Bogosity

preprocess1.3s (20.3%)

Algorithm

1×	egg-herbie

Rules

1524×	`fma-def`
970×	`distribute-lft-neg-in`
798×	`associate-/r*`
710×	`associate-*l/`
678×	`sub-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`b`
-	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))`
-	-	`(*.f64 3 a)`
-	-	`(.f64 (.f64 3 a) c)`
-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))`
-	-	`(neg.f64 b)`
-	-	`c`
-	-	`(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))`
-	-	`(*.f64 b b)`
-	-	`3`
-	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
-	-	`a`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	779
1	173	675
2	466	671
3	1253	671
4	3566	671
5	7143	671

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 (neg.f64 a)) c)))) (.f64 3 (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) (neg.f64 c))))) (.f64 3 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 (neg.f64 a)) c)))) (.f64 3 (neg.f64 a))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 3 a) c)))) (.f64 3 a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) (neg.f64 c))))) (.f64 3 a)))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 (neg.f64 a)) c)))) (.f64 3 (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 (neg.f64 a)))))) (.f64 3 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 3 c)))) b) (*.f64 a -3))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 3 c))))) (*.f64 3 a))
(.f64 (/.f64 -1/3 a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 3 c)))) b))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3))))) (*.f64 3 a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a) 1/3)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) (neg.f64 c))))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a (neg.f64 c)))))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 3 c)))) b) (*.f64 3 a))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 3 c))))) (*.f64 a -3))
(.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 3 c)))) b))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 (neg.f64 a)) c)))) (.f64 3 (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a (neg.f64 c)))))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 3 c)))) b) (*.f64 3 a))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 3 c))))) (*.f64 a -3))
(.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 3 c)))) b))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 3 a) c)))) (.f64 3 a)))
(/.f64 (neg.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
(/.f64 (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))))) (*.f64 3 a))
(.f64 -1/3 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a) -1/3)
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) (neg.f64 c))))) (.f64 3 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 (neg.f64 a)))))) (.f64 3 (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 3 c)))) b) (*.f64 a -3))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 3 c))))) (*.f64 3 a))
(.f64 (/.f64 -1/3 a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 3 c)))) b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 3 (.f64 b c))))) (.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -3) (.f64 a a))) a) (*.f64 b 3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 3 c))))) (.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 3 a))))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 -3 (.f64 b a)))) c) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 (.f64 b a) -3))) c) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -3) (.f64 c c))) c) (*.f64 3 a))

Compiler

Compiled 160 to 86 computations (46.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 917.0ms

Operation ival-mult, time spent: 316.0ms, 34.0% of total-time

Operation ival-sub, time spent: 241.0ms, 26.0% of total-time

Operation ival-sqrt, time spent: 159.0ms, 17.0% of total-time

Operation ival-add, time spent: 123.0ms, 13.0% of total-time

Operation ival-div, time spent: 28.0ms, 3.0% of total-time

Operation const, time spent: 27.0ms, 3.0% of total-time

Operation ival-neg, time spent: 22.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
▶	41.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize1.5s (22.4%)

Compiler: Compiled 129 to 69 computations (46.5% saved)
Precisions: Click to see histograms. Total time spent on operations: 1.2s
Operation ival-mult, time spent: 647.0ms, 53.0% of total-time
Operation ival-sub, time spent: 197.0ms, 16.0% of total-time
Operation ival-sqrt, time spent: 162.0ms, 13.0% of total-time
Operation ival-fma, time spent: 82.0ms, 7.0% of total-time
Operation ival-add, time spent: 63.0ms, 5.0% of total-time
Operation ival-div, time spent: 29.0ms, 2.0% of total-time
Operation const, time spent: 26.0ms, 2.0% of total-time
Operation ival-neg, time spent: 10.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Accuracy

42.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.0%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
✓	41.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 73 to 49 computations (32.9% saved)

regimes18.0ms (0.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))

Outputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))

Calls

5 calls:

5.0ms	c
3.0ms	(*.f64 3 a)
3.0ms	a
3.0ms	b
3.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Results

Accuracy	Segments	Branch
42.0%	1	`a`
42.0%	1	`b`
42.0%	1	`c`
42.0%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
42.0%	1	`(*.f64 3 a)`

Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes14.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Calls

5 calls:

3.0ms	a
3.0ms	(*.f64 3 a)
3.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
3.0ms	c
3.0ms	b

Results

Accuracy	Segments	Branch
41.9%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
41.9%	1	`c`
41.9%	1	`a`
41.9%	1	`b`
41.9%	1	`(*.f64 3 a)`

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
18×	`+-commutative`
16×	`sub-neg`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	130
1	42	126
2	62	126
3	73	126
4	81	126
5	84	126

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Outputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 a 3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 3))))) (.f64 a 3))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 3)))) b) (.f64 a 3))

Compiler

Compiled 37 to 25 computations (32.4% saved)

soundness157.0ms (2.4%)

Rules

1524×	`fma-def`
970×	`distribute-lft-neg-in`
798×	`associate-/r*`
710×	`associate-*l/`
678×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	779
1	173	675
2	466	671
3	1253	671
4	3566	671
5	7143	671

Stop Event

1×	node limit

Compiler

Compiled 140 to 79 computations (43.6% saved)

end0.0ms (0%)

preprocess34.0ms (0.5%)

Compiler: Compiled 108 to 72 computations (33.3% saved)

analyze188.0ms (2.8%)

sample3.4s (50.8%)

preprocess1.3s (20.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize1.5s (22.4%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes18.0ms (0.3%)

regimes14.0ms (0.2%)

simplify5.0ms (0.1%)

soundness157.0ms (2.4%)

end0.0ms (0%)

preprocess34.0ms (0.5%)

Profiling