Cubic critical, narrow range

Time bar (total: 3.1s)

analyze445.0ms (14.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
0%0%0%100%0%0%0%7
2.3%0%0%100%0%0%0%8
11.3%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
28%0%0%100%0%0%0%11
40.1%0%0%100%0%0%0%12
Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-<: 78.0ms (27.6% of total)
...c/correct-round.rkt:104:19: 68.0ms (24% of total)
ival-mult: 60.0ms (21.2% of total)
ival-neg: 19.0ms (6.7% of total)
ival-sqrt: 15.0ms (5.3% of total)
ival-div: 13.0ms (4.6% of total)
ival-sub: 10.0ms (3.5% of total)
ival-add: 9.0ms (3.2% of total)
ival-and: 9.0ms (3.2% of total)
const: 1.0ms (0.4% of total)

sample2.4s (76.5%)

Results
1.7s8256×256valid
213.0ms1315×256invalid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
...c/correct-round.rkt:104:19: 361.0ms (23.9% of total)
ival-sqrt: 347.0ms (23% of total)
ival-mult: 235.0ms (15.6% of total)
ival-<: 226.0ms (15% of total)
ival-div: 99.0ms (6.6% of total)
ival-neg: 92.0ms (6.1% of total)
ival-add: 53.0ms (3.5% of total)
ival-sub: 47.0ms (3.1% of total)
ival-and: 45.0ms (3% of total)
const: 5.0ms (0.3% of total)
Bogosity

preprocess124.0ms (4%)

Algorithm
1×egg-herbie
Rules
838×div-sub
712×fma-neg
592×fma-define
501×sub-neg
393×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060779
1176671
2482671
31308671
43657671
57636671
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (*.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (*.f64 #s(literal 3 binary64) (neg.f64 a))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 3 binary64) b) c)))) (*.f64 #s(literal 3 binary64) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) c) a)))) (*.f64 #s(literal 3 binary64) c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal 3 binary64) a) b)))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (*.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 a) c))))) (*.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal -3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal -1/3 binary64))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (*.f64 #s(literal 3 binary64) (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 a) c))))) (*.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal -3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal -1/3 binary64))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 3 binary64) b) c)))) (*.f64 #s(literal 3 binary64) b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal 3 binary64) (*.f64 b c))))) (*.f64 b #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b #s(literal -3 binary64))))) a) (*.f64 b #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c #s(literal -3 binary64))))) a) (*.f64 b #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c #s(literal -3 binary64)) (*.f64 a a))) a) (*.f64 b #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) c) a)))) (*.f64 #s(literal 3 binary64) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal 3 binary64) a) b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 #s(literal 3 binary64) a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a #s(literal -3 binary64))))) c) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) (*.f64 c c))) c) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) (*.f64 c c)))) (*.f64 a #s(literal -3 binary64)))

explain120.0ms (3.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2262(1.0676156170776956 111100.75215824008 70850909.73651811)1(6639.192662920251 325477.47543267085 260941.74553097016)(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
00-0-(*.f64 #s(literal 3 binary64) a)
00-0-b
00-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-(neg.f64 b)
00-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
00-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
00-0-c
00-0-(*.f64 b b)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-#s(literal 3 binary64)
00-0-a
Results
62.0ms512×256valid
Compiler

Compiled 160 to 38 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 10.0ms (36.7% of total)
ival-div: 4.0ms (14.7% of total)
ival-sqrt: 4.0ms (14.7% of total)
ival-sub: 3.0ms (11% of total)
ival-add: 3.0ms (11% of total)
ival-neg: 3.0ms (11% of total)
const: 1.0ms (3.7% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
55.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 40 to 24 computations (40% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×*-commutative
8×+-commutative
7×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01969
13165
25065
36165
46965
57265
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 19 to 11 computations (42.1% saved)

preprocess31.0ms (1%)

Compiler

Compiled 78 to 46 computations (41% saved)

end0.0ms (0%)

Profiling

Loading profile data...