Metrics for quadp (p42, positive)

analyze152.0ms (3.5%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

Operation ival-mult, time spent: 34.0ms, 38.0% of total-time

Operation ival-sqrt, time spent: 18.0ms, 20.0% of total-time

Operation ival-add, time spent: 12.0ms, 14.0% of total-time

Operation ival-div, time spent: 9.0ms, 10.0% of total-time

Operation ival-sub, time spent: 7.0ms, 8.0% of total-time

Operation ival-neg, time spent: 7.0ms, 8.0% of total-time

Operation const, time spent: 2.0ms, 2.0% of total-time

sample1.8s (41.7%)

Results

1.4s	7564×	valid
167.0ms	955×	invalid
124.0ms	691×	infinite
2.0ms	1×	valid

Precisions

Click to see histograms. Total time spent on operations: 877.0ms

Operation ival-mult, time spent: 276.0ms, 31.0% of total-time

Operation ival-sub, time spent: 167.0ms, 19.0% of total-time

Operation ival-add, time spent: 153.0ms, 17.0% of total-time

Operation ival-sqrt, time spent: 126.0ms, 14.0% of total-time

Operation ival-div, time spent: 76.0ms, 9.0% of total-time

Operation ival-neg, time spent: 53.0ms, 6.0% of total-time

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

Bogosity

preprocess1.6s (36.8%)

Algorithm

1×	egg-herbie

Rules

1298×	`div-sub`
1250×	`fma-def`
1238×	`associate-/r*`
718×	`sub-neg`
690×	`associate-/l*`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`b`
-	-	`(neg.f64 b)`
-	-	`(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))`
-	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`
-	-	`c`
-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))`
-	-	`(*.f64 b b)`
-	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))`
-	-	`(*.f64 a c)`
-	-	`4`
-	-	`(.f64 4 (.f64 a c))`
-	-	`a`
-	-	`(*.f64 2 a)`
-	-	`2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	779
1	180	691
2	439	671
3	1250	671
4	2803	671
5	6734	671

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 (neg.f64 a) c))))) (.f64 2 (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 (neg.f64 a) c))))) (.f64 2 (neg.f64 a))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 4 (.f64 a c))))) (.f64 2 a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 2 a)))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 (neg.f64 a) c))))) (.f64 2 (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (neg.f64 (.f64 a 2)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 4 c)))) b) (.f64 a -2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b))) b) (*.f64 a -2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 4 a)))) b) (*.f64 a -2))
(.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a c) (*.f64 b b))) b) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a))))) (*.f64 a 2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 a 2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (*.f64 a 2))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) a) 1/2)
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 4 c)))) b) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b))) b) (*.f64 a 2))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 4 a))))) a) -1/2)
(.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a c) (*.f64 b b))) b) (/.f64 1/2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 (neg.f64 a) c))))) (.f64 2 (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 4 c)))) b) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b))) b) (*.f64 a 2))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 4 a))))) a) -1/2)
(.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a c) (*.f64 b b))) b) (/.f64 1/2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 4 (.f64 a c))))) (.f64 2 a)))
(/.f64 (neg.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
(/.f64 (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a)))))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) a) -1/2)
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) (/.f64 -1/2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 2 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (neg.f64 (.f64 a 2)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 4 c)))) b) (.f64 a -2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b))) b) (*.f64 a -2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 4 a)))) b) (*.f64 a -2))
(.f64 (-.f64 (sqrt.f64 (fma.f64 4 (.f64 a c) (*.f64 b b))) b) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 b -4) (.f64 a a))) a) (*.f64 b 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a)))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b) (*.f64 c 2))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (+.f64 (.f64 c c) (.f64 -4 (.f64 b a))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 (.f64 -4 a) b))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 a (.f64 b -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (*.f64 a 2))

Compiler

Compiled 168 to 80 computations (52.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 927.0ms

Operation ival-sub, time spent: 263.0ms, 28.0% of total-time

Operation ival-mult, time spent: 252.0ms, 27.0% of total-time

Operation ival-add, time spent: 181.0ms, 20.0% of total-time

Operation ival-sqrt, time spent: 153.0ms, 16.0% of total-time

Operation ival-div, time spent: 31.0ms, 3.0% of total-time

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

Operation ival-neg, time spent: 20.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 65 to 41 computations (36.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))

Compiler

Compiled 20 to 14 computations (30% saved)

localize697.0ms (16%)

Compiler: Compiled 74 to 33 computations (55.4% saved)
Precisions: Click to see histograms. Total time spent on operations: 425.0ms
Operation ival-sub, time spent: 125.0ms, 29.0% of total-time
Operation ival-mult, time spent: 124.0ms, 29.0% of total-time
Operation ival-sqrt, time spent: 75.0ms, 18.0% of total-time
Operation ival-add, time spent: 64.0ms, 15.0% of total-time
Operation const, time spent: 14.0ms, 3.0% of total-time
Operation ival-div, time spent: 14.0ms, 3.0% of total-time
Operation ival-neg, time spent: 10.0ms, 2.0% of total-time

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Accuracy

66.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))

Compiler

Compiled 57 to 36 computations (36.8% saved)

regimes14.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Calls

4 calls:

5.0ms	b
3.0ms	a
3.0ms	c
3.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Results

Accuracy	Segments	Branch
66.0%	1	`a`
66.0%	1	`b`
66.0%	1	`c`
66.0%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	34	65
2	47	65
3	60	65
4	68	65
5	73	65
6	75	65

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))

(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2))

Compiler

Compiled 19 to 13 computations (31.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess64.0ms (1.5%)

Compiler: Compiled 294 to 158 computations (46.3% saved)

analyze152.0ms (3.5%)

sample1.8s (41.7%)

preprocess1.6s (36.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize697.0ms (16%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes14.0ms (0.3%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess64.0ms (1.5%)

Profiling