quad2p (problem 3.2.1, positive)

Time bar (total: 4.8s)

analyze107.0ms (2.2%)

Memory
13.0MiB live, 44.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
42.6%40.6%54.6%0.1%0%4.7%0%7
51.2%48.4%46%0.1%0%5.5%0%8
54.5%49.9%41.7%0.1%0%8.2%0%9
60.2%53.4%35.3%0.1%0%11.1%0%10
67.6%58.7%28.2%0.1%0%13%0%11
71.4%60.6%24.2%0.1%0%15.1%0%12
Compiler

Compiled 32 to 23 computations (28.1% saved)

sample4.4s (92.1%)

Memory
-141.7MiB live, 1 391.3MiB allocated
Samples
455.0ms1 111×2336valid-baseline
421.0ms5 504×73valid-baseline
396.0ms5 504×73valid-sollya
350.0ms5 504×73valid-rival
265.0ms771×1168valid-baseline
189.0ms1 111×2336valid-rival
153.0ms1 111×2336valid-sollya
112.0ms375×584valid-baseline
109.0ms771×1168valid-rival
102.0ms212×4672valid-baseline
93.0ms771×1168valid-sollya
45.0ms375×584valid-rival
44.0ms212×4672valid-rival
38.0ms375×584valid-sollya
38.0ms185×292valid-baseline
33.0ms212×4672valid-sollya
22.0ms185×292valid-rival
15.0ms97×146valid-baseline
14.0ms185×292valid-sollya
11.0ms97×146valid-rival
7.0ms97×146valid-sollya
0.0ms1×2336valid-rival+sollya-real
Precisions
Click to see Rival histograms. Total time spent on operations: 604.0ms
ival-mult: 161.0ms (26.7% of total)
ival-sqrt: 100.0ms (16.6% of total)
ival-div: 91.0ms (15.1% of total)
ival-neg: 71.0ms (11.8% of total)
ival-add: 62.0ms (10.3% of total)
ival-sub: 57.0ms (9.4% of total)
adjust: 49.0ms (8.1% of total)
ival-true: 9.0ms (1.5% of total)
ival-assert: 4.0ms (0.7% of total)
Precisions
Click to see Base histograms. Total time spent on operations: 877.0ms
ival-mult: 262.0ms (29.9% of total)
ival-sqrt: 165.0ms (18.8% of total)
ival-div: 145.0ms (16.5% of total)
ival-sub: 98.0ms (11.2% of total)
ival-add: 96.0ms (10.9% of total)
ival-neg: 96.0ms (10.9% of total)
const: 15.0ms (1.7% of total)
Bogosity

preprocess241.0ms (5%)

Memory
-7.0MiB live, 25.4MiB allocated
Algorithm
1×egg-herbie
Rules
1 003×fmm-def
514×div-sub
394×times-frac
264×fma-define
219×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055631
1136579
2281571
3777571
42087571
53950571
65005571
75259571
85352571
95384571
105400571
115400571
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a (neg.f64 c))))) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)))) (neg.f64 a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 a c)))) a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a (neg.f64 c))))) a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a)
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) (neg.f64 a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 a c)))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a (neg.f64 c))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)))) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 a c)))) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a (neg.f64 c))))) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) (neg.f64 a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 (neg.f64 b_2) c))) a) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c))) a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) c)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a))) c) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 b_2) a (*.f64 c c))) c) a)
Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify3.0ms (0.1%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×egg-herbie
Rules
6×+-commutative
5×sub-neg
5×*-commutative
4×neg-sub0
4×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01757
12853
24153
34853
45253
55353
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)

soundness0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Stop Event
1×fuel
Compiler

Compiled 15 to 9 computations (40% saved)

preprocess28.0ms (0.6%)

Memory
3.1MiB live, 34.4MiB allocated
Compiler

Compiled 246 to 90 computations (63.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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