The quadratic formula (r2)

Time bar (total: 10.5s)

analyze166.0ms (1.6%)

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
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: 84.0ms
ival-mult: 39.0ms (46.3% of total)
ival-sub: 16.0ms (19% of total)
ival-sqrt: 10.0ms (11.9% of total)
ival-div: 8.0ms (9.5% of total)
ival-neg: 8.0ms (9.5% of total)
const: 2.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

sample3.3s (31.6%)

Results
994.0ms5570×0valid
1.0s1942×2valid
219.0ms933×0invalid
157.0ms744×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 745.0ms (48% of total)
ival-sub: 279.0ms (18% of total)
ival-sqrt: 143.0ms (9.2% of total)
ival-neg: 128.0ms (8.2% of total)
backward-pass: 126.0ms (8.1% of total)
ival-div: 112.0ms (7.2% of total)
const: 20.0ms (1.3% of total)
Bogosity

preprocess263.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1892×fma-neg
379×fma-define
372×sub-neg
364×div-sub
281×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067779
1216723
2635691
32137671
45143671
56383671
66747671
76881671
86920671
97073671
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) c))))) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a (neg.f64 c)))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) c))))) (*.f64 #s(literal 2 binary64) (neg.f64 a))))
(neg.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a (neg.f64 c)))))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 b c))))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 #s(literal 4 binary64) (*.f64 a b))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) c))))) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal -2 binary64)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a (neg.f64 c)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) c))))) (*.f64 #s(literal 2 binary64) (neg.f64 a))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a))
(neg.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a) #s(literal 1/2 binary64))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) a))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a (neg.f64 c)))))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 b c))))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (+.f64 (*.f64 a a) (*.f64 #s(literal -4 binary64) (*.f64 b c))))) (*.f64 b #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 #s(literal -4 binary64) b) c)))) (*.f64 b #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b #s(literal -4 binary64)))))) (*.f64 b #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b #s(literal -4 binary64)))))) #s(literal -2 binary64)) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (+.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b #s(literal -4 binary64)))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) c))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 c #s(literal 2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 c #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) c) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 #s(literal 4 binary64) (*.f64 a b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 #s(literal -4 binary64) (*.f64 b a))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 #s(literal -4 binary64) a) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 c (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 c (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a #s(literal -4 binary64)))))))

explain196.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1140-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
661(28081392574.66158 -5.5146164122414425e+219 -5.396315364703039e-114)0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
150-0-(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
30-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-b
00-0-(neg.f64 b)
00-0-#s(literal 2 binary64)
00-0-c
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-(*.f64 b b)
00-0-#s(literal 4 binary64)
00-0-(*.f64 a c)
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-a
Results
53.0ms324×0valid
71.0ms154×2valid
10.0ms34×1valid
Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 24.0ms (35.9% of total)
ival-sqrt: 12.0ms (17.9% of total)
ival-sub: 10.0ms (15% of total)
backward-pass: 8.0ms (12% of total)
ival-div: 7.0ms (10.5% of total)
ival-neg: 5.0ms (7.5% of total)
const: 1.0ms (1.5% of total)

eval1.0ms (0%)

Compiler

Compiled 82 to 33 computations (59.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
▶46.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize437.0ms (4.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 4 binary64) c)
✓cost-diff0
(*.f64 (*.f64 #s(literal 4 binary64) c) a)
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
✓cost-diff0
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
✓accuracy99.1%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))
✓accuracy94.4%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
✓accuracy76.2%
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))))
✓accuracy58.4%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))
✓accuracy100.0%
(*.f64 b b)
✓accuracy94.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
✓accuracy76.2%
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
✓accuracy58.4%
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
Rules
752×fma-neg
404×fma-define
219×times-frac
175×div-sub
129×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030483
165479
2159479
3320479
4537479
5983479
62261479
73205479
83421479
93551479
103593479
113609479
123615479
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) c) a)
(*.f64 #s(literal 4 binary64) c)
#s(literal 4 binary64)
c
a
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal 4 binary64))))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) c) a)
(*.f64 a (*.f64 c #s(literal 4 binary64)))
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) c)
(*.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
c
a
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
Results
33.0ms162×0valid
205.0ms77×2valid
7.0ms17×1valid
Compiler

Compiled 131 to 23 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 16.0ms (26.6% of total)
ival-mult: 16.0ms (26.6% of total)
ival-sqrt: 7.0ms (11.6% of total)
backward-pass: 7.0ms (11.6% of total)
ival-fma: 5.0ms (8.3% of total)
ival-sub: 4.0ms (6.6% of total)
ival-neg: 2.0ms (3.3% of total)
ival-add: 2.0ms (3.3% of total)
const: 1.0ms (1.7% of total)

series67.0ms (0.6%)

Counts
12 → 300
Calls
Call 1
Inputs
#<alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))>
#<alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))>
#<alt (*.f64 b b)>
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))>
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))))>
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))>
#<alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))>
#<alt (/.f64 #s(literal -1/2 binary64) a)>
#<alt (neg.f64 b)>
#<alt (*.f64 (*.f64 #s(literal 4 binary64) c) a)>
#<alt (*.f64 #s(literal 4 binary64) c)>
Outputs
#<alt b>
#<alt (+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))>
#<alt (+.f64 b (*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 3 binary64)))))))>
#<alt (+.f64 b (*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt b>
#<alt (+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))>
#<alt (+.f64 b (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 b #s(literal 3 binary64)))))))>
#<alt (+.f64 b (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) (*.f64 c (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))))))>
#<alt b>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))))))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (+.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) b)>
#<alt (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))))))>
#<alt (*.f64 b (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))>
#<alt (*.f64 b (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) (*.f64 #s(literal -4 binary64) c))))>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 a c))>
Calls

81 calls:

TimeVariablePointExpression
2.0ms
a
@0
(* (/ -1/2 a) (+ b (sqrt (+ (* a (* c -4)) (* b b)))))
2.0ms
a
@-inf
(- (neg b) (sqrt (- (* b b) (* (* 4 c) a))))
2.0ms
c
@inf
(* (* 4 c) a)
2.0ms
a
@inf
(sqrt (+ (* a (* c -4)) (* b b)))
2.0ms
b
@0
(* (/ -1/2 a) (+ b (sqrt (+ (* a (* c -4)) (* b b)))))

rewrite475.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
530×log1p-expm1-u
203×expm1-log1p-u
199×add-cube-cbrt
198×add-exp-log
198×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030369
1442353
27353353
Stop Event
1×node limit
Counts
12 → 433
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 b b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a))
(/.f64 #s(literal -1/2 binary64) a)
(neg.f64 b)
(*.f64 (*.f64 #s(literal 4 binary64) c) a)
(*.f64 #s(literal 4 binary64) c)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(*.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (neg.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(*.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (sqrt.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (+.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))) (neg.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) b))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))) (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))))
(pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) b)
(fma.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
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(*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (+.f64 b (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 a c)))) (-.f64 b (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 a c)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (pow.f64 b #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(fma.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(fma.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(fma.f64 (cbrt.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) a))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1/2 binary64) a))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) a))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) a)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) b)
(-.f64 #s(literal 0 binary64) b)
(-.f64 (exp.f64 (log1p.f64 b)) #s(literal 1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) b)
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 b)))
(*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(*.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))) b)
(pow.f64 b #s(literal 1 binary64))
(pow.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 b) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 b) #s(literal 2 binary64))
(pow.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 b #s(literal 2 binary64)))
(fabs.f64 b)
(log.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)))
(cbrt.f64 (pow.f64 b #s(literal 3 binary64)))
b
(expm1.f64 (log1p.f64 b))
(log1p.f64 (expm1.f64 b))
(exp.f64 (log.f64 b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 a c))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) c) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) c) a)))
(cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 c #s(literal -4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 c)) #s(literal 2 binary64))
(neg.f64 (*.f64 c #s(literal -4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) c))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 c #s(literal -4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) c)))
(cbrt.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 c #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 c #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 c #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)))

eval101.0ms (1%)

Compiler

Compiled 18740 to 2273 computations (87.9% saved)

prune301.0ms (2.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New74218760
Fresh000
Picked022
Done000
Total74220762
Accuracy
90.4%
Counts
762 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.2%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))) (sqrt.f64 (*.f64 a #s(literal 2 binary64))))
21.9%
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
45.9%
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
✓46.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
31.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))))) (*.f64 a #s(literal 2 binary64)))
▶31.9%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))
29.4%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
29.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
45.4%
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
▶30.3%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
▶45.9%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
45.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
12.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 #s(literal -1 binary64) b)))
✓46.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
▶35.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
30.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b b))
32.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
29.7%
(*.f64 b (-.f64 (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))
38.8%
(*.f64 #s(literal -1 binary64) (/.f64 c b))
▶30.6%
(*.f64 #s(literal -1 binary64) (/.f64 b a))
Compiler

Compiled 662 to 452 computations (31.7% saved)

localize832.0ms (7.9%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
✓cost-diff0
(+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
✓cost-diff64
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(/.f64 b a)
✓cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 b a))
✓cost-diff128
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
✓cost-diff0
(/.f64 b a)
✓cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 b a))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))
✓cost-diff6528
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
✓cost-diff12864
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))
✓accuracy99.9%
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))
✓accuracy97.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
✓accuracy87.8%
(+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))))
✓accuracy61.2%
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) (*.f64 a c))
✓accuracy100.0%
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
✓accuracy99.9%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))
✓accuracy86.1%
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
✓accuracy100.0%
(/.f64 c b)
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) (/.f64 b a))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) (/.f64 b a))
✓accuracy99.2%
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))
✓accuracy97.1%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
✓accuracy87.8%
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
✓accuracy72.3%
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
Rules
1766×fma-define
878×fma-neg
430×div-sub
370×distribute-lft-neg-in
355×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043801
188799
2212799
3433795
4679795
51222795
62984795
75544795
86580795
96906795
107016795
117026795
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))
(cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
#s(literal 3 binary64)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 #s(literal -1 binary64) (/.f64 b a))
#s(literal -1 binary64)
(/.f64 b a)
b
a
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
#s(literal -1 binary64)
(/.f64 b a)
b
a
(/.f64 c b)
c
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(neg.f64 b)
b
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
#s(literal -4 binary64)
(*.f64 a c)
a
c
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))))
b
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(pow.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3/2 binary64)
Outputs
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) a))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))
(/.f64 #s(literal -1/2 binary64) a)
(cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
#s(literal 3 binary64)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
b
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
#s(literal -1 binary64)
(/.f64 b a)
b
a
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
#s(literal -1 binary64)
(/.f64 b a)
b
a
(/.f64 c b)
c
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) a))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(neg.f64 b)
b
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
#s(literal -4 binary64)
(*.f64 a c)
a
c
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))) a))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))))
b
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(pow.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3/2 binary64)
Results
56.0ms130×0valid
42.0ms77×0invalid
98.0ms41×2valid
7.0ms8×1valid
Compiler

Compiled 231 to 36 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-pow: 52.0ms (38.8% of total)
ival-mult: 24.0ms (17.9% of total)
ival-div: 16.0ms (12% of total)
ival-add: 8.0ms (6% of total)
ival-fma: 8.0ms (6% of total)
ival-sub: 6.0ms (4.5% of total)
backward-pass: 6.0ms (4.5% of total)
ival-cbrt: 5.0ms (3.7% of total)
ival-sqrt: 5.0ms (3.7% of total)
const: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)

series113.0ms (1.1%)

Counts
19 → 411
Calls
Call 1
Inputs
#<alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))>
#<alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))>
#<alt (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 b a))>
#<alt (/.f64 b a)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))>
#<alt (/.f64 c b)>
#<alt (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))>
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))>
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 a c))>
#<alt (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))>
#<alt (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))>
#<alt (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))>
#<alt (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))>
#<alt (/.f64 #s(literal -1/2 binary64) a)>
#<alt (neg.f64 b)>
Outputs
#<alt b>
#<alt (+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))>
#<alt (+.f64 b (*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 3 binary64)))))))>
#<alt (+.f64 b (*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt b>
#<alt (+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))>
#<alt (+.f64 b (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 b #s(literal 3 binary64)))))))>
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#<alt (+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (sqrt.f64 #s(literal -64 binary64))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (sqrt.f64 #s(literal -64 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (-.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -64 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -64 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal -64 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -64 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -64 binary64))))))))))>
#<alt (pow.f64 b #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (pow.f64 b #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 4 binary64)))))))>
#<alt (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -64 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (-.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (pow.f64 b #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -64 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (-.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal 32 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 a c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 4 binary64)))))))))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (cbrt.f64 #s(literal -1/2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
Calls

132 calls:

TimeVariablePointExpression
8.0ms
a
@inf
(/ (- (neg b) (sqrt (* -4 (* a c)))) (* a 2))
4.0ms
b
@-inf
(* (/ -1/2 a) (+ b (cbrt (pow (+ (* a (* c -4)) (pow b 2)) 3/2))))
4.0ms
a
@-inf
(pow (+ (* a (* c -4)) (pow b 2)) 3/2)
3.0ms
b
@0
(pow (+ (* a (* c -4)) (pow b 2)) 3/2)
2.0ms
a
@-inf
(pow (cbrt (/ -1/2 a)) 3)

rewrite296.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
288×log1p-expm1-u
288×expm1-log1p-u
265×add-cube-cbrt
264×add-exp-log
263×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043557
1660535
Stop Event
1×node limit
Counts
19 → 579
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(/.f64 b a)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
(/.f64 c b)
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))
(cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
(neg.f64 b)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
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(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (cbrt.f64 #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (cbrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 a)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 a) (cbrt.f64 #s(literal -1/2 binary64))))
(/.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 a))
(/.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (neg.f64 a)))
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (neg.f64 (cbrt.f64 a)))
(pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) a))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1 binary64))
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(neg.f64 (/.f64 #s(literal 1/2 binary64) a))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) a))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) a)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) b)
(-.f64 #s(literal 0 binary64) b)
(-.f64 (exp.f64 (log1p.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) b)
(*.f64 #s(literal 1 binary64) b)
(*.f64 (cbrt.f64 (pow.f64 b #s(literal 2 binary64))) (cbrt.f64 b))
(*.f64 (cbrt.f64 (pow.f64 b #s(literal 2 binary64))) (neg.f64 (cbrt.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 b))
(*.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))) b)
(pow.f64 b #s(literal 1 binary64))
(pow.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 b) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 b) #s(literal 2 binary64))
(pow.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 b #s(literal 2 binary64)))
(fabs.f64 b)
(log.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)))
(cbrt.f64 (pow.f64 b #s(literal 3 binary64)))
b
(expm1.f64 (log1p.f64 b))
(log1p.f64 (expm1.f64 b))
(exp.f64 (log.f64 b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))

eval130.0ms (1.2%)

Compiler

Compiled 25223 to 2859 computations (88.7% saved)

prune273.0ms (2.6%)

Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New1053261079
Fresh6713
Picked325
Done022
Total1062371099
Accuracy
94.2%
Counts
1099 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
▶1.6%
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
2.7%
(pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64))
2.4%
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) (/.f64 c b))) #s(literal 3 binary64))
24.8%
(/.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal 2 binary64)))
21.9%
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
1.8%
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a c)) (*.f64 a b))
31.8%
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
▶17.5%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
✓46.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
29.4%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
18.1%
(/.f64 (cbrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (*.f64 a #s(literal 2 binary64)))
12.1%
(/.f64 c b)
30.6%
(/.f64 b (neg.f64 a))
▶2.7%
(/.f64 b a)
30.5%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
▶45.4%
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
2.4%
(+.f64 (/.f64 b a) (/.f64 c b))
30.3%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 c) b)))
30.3%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)))
✓45.9%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
25.1%
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) #s(literal 1/2 binary64))
13.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))))
✓46.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
✓35.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
30.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b b))
▶32.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
31.8%
(*.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a))
29.7%
(*.f64 b (-.f64 (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))
38.3%
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) b))
10.5%
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
15.8%
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
30.1%
(*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64)))
38.8%
(*.f64 #s(literal -1 binary64) (/.f64 c b))
2.7%
(*.f64 #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a))))
15.0%
(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 b a))))
1.3%
(exp.f64 (log.f64 (+.f64 (/.f64 b a) (/.f64 c b))))
Compiler

Compiled 997 to 706 computations (29.2% saved)

localize254.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -4 binary64) a)
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -4 binary64) a))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))
✓cost-diff0
(neg.f64 b)
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(sqrt.f64 (/.f64 b a))
✓cost-diff12864
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (*.f64 a c) b)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff448
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
✓cost-diff256
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
✓accuracy100.0%
(neg.f64 b)
✓accuracy100.0%
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c)))
✓accuracy100.0%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
✓accuracy99.9%
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))
✓accuracy100.0%
(/.f64 b a)
✓accuracy99.9%
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
✓accuracy93.3%
(sqrt.f64 (/.f64 b a))
✓accuracy100.0%
(*.f64 a c)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))
✓accuracy98.6%
(/.f64 (*.f64 a c) b)
✓accuracy96.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
✓accuracy99.9%
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a))
✓accuracy90.9%
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
✓accuracy89.9%
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
Rules
678×fma-neg
435×associate-*l*
398×distribute-lft-neg-in
387×associate-*r*
352×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039650
184644
2202638
3531615
41421597
54721597
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(pow.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(/.f64 b a)
b
a
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))
#s(literal 2 binary64)
(/.f64 (*.f64 a c) b)
(*.f64 a c)
c
b
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 b a))
(/.f64 b a)
b
a
#s(literal 2 binary64)
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c)))
(neg.f64 b)
b
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))
(sqrt.f64 (*.f64 #s(literal -4 binary64) a))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
(sqrt.f64 c)
c
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(pow.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(/.f64 b a)
b
a
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b))))
(*.f64 (*.f64 a (/.f64 c b)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (neg.f64 (*.f64 c (/.f64 a b))) a)
(*.f64 a (/.f64 (/.f64 (neg.f64 c) b) a))
(/.f64 c (neg.f64 b))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))
(*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b)))
(*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))
(*.f64 c (*.f64 (/.f64 a b) #s(literal 2 binary64)))
(*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 c b)))
(*.f64 a (*.f64 c (/.f64 #s(literal 2 binary64) b)))
#s(literal 2 binary64)
(/.f64 (*.f64 a c) b)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(*.f64 a c)
c
b
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(/.f64 b a)
(sqrt.f64 (/.f64 b a))
(/.f64 b a)
b
a
#s(literal 2 binary64)
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b) (*.f64 a #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b))
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c)))
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c) b))
(neg.f64 b)
b
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))
(*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))
(sqrt.f64 (*.f64 #s(literal -4 binary64) a))
(sqrt.f64 (*.f64 a #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) a)
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
a
(sqrt.f64 c)
c
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
Results
78.0ms205×0invalid
7.0ms20×0valid
19.0ms17×2valid
16.0ms9×3valid
3.0ms5×1valid
Compiler

Compiled 182 to 32 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 22.0ms (32.2% of total)
ival-div: 12.0ms (17.6% of total)
ival-sqrt: 12.0ms (17.6% of total)
ival-pow: 9.0ms (13.2% of total)
ival-fma: 4.0ms (5.9% of total)
backward-pass: 4.0ms (5.9% of total)
ival-sub: 3.0ms (4.4% of total)
const: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)

series66.0ms (0.6%)

Counts
18 → 320
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))>
#<alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a))>
#<alt (*.f64 b (/.f64 #s(literal -1/2 binary64) a))>
#<alt (/.f64 b a)>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))>
#<alt (/.f64 (*.f64 a c) b)>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))>
#<alt (*.f64 a c)>
#<alt (sqrt.f64 (/.f64 b a))>
#<alt (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))>
#<alt (/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))>
#<alt (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c)))>
#<alt (neg.f64 b)>
#<alt (/.f64 #s(literal -1/2 binary64) a)>
#<alt (sqrt.f64 (*.f64 #s(literal -4 binary64) a))>
#<alt (*.f64 #s(literal -4 binary64) a)>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (-.f64 (*.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 b a))>
#<alt (*.f64 b (-.f64 (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))>
#<alt (*.f64 b (-.f64 (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a))))>
#<alt (*.f64 b (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 c b))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c)) b))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64)))))) b))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -1 binary64))))>
Calls

120 calls:

TimeVariablePointExpression
6.0ms
a
@0
(* b (/ -1/2 a))
4.0ms
a
@inf
(- (* b (/ -1/2 a)) (* (sqrt (+ (* a (* c -4)) (pow b 2))) (/ 1/2 a)))
2.0ms
a
@-inf
(pow (sqrt (/ b a)) 2)
1.0ms
c
@inf
(* (sqrt (+ (* a (* c -4)) (pow b 2))) (/ 1/2 a))
1.0ms
c
@inf
(- (* b (/ -1/2 a)) (* (sqrt (+ (* a (* c -4)) (pow b 2))) (/ 1/2 a)))

rewrite256.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
293×associate-*r*
276×log1p-expm1-u
276×expm1-log1p-u
270×add-exp-log
270×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039476
1637449
Stop Event
1×node limit
Counts
18 → 502
Calls
Call 1
Inputs
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(/.f64 b a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
(/.f64 (*.f64 a c) b)
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b))
(*.f64 a c)
(sqrt.f64 (/.f64 b a))
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
(-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c)))
(neg.f64 b)
(/.f64 #s(literal -1/2 binary64) a)
(sqrt.f64 (*.f64 #s(literal -4 binary64) a))
(*.f64 #s(literal -4 binary64) a)
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(+.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(+.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(+.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(+.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a) (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(+.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a)))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a)) (sqrt.f64 (/.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a)))
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(*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(*.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (sqrt.f64 b) (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64))) (fma.f64 b b (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 b (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(pow.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64))
(neg.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(sqrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(cbrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(log1p.f64 (expm1.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(exp.f64 (log.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(+.f64 #s(literal 0 binary64) b)
(-.f64 #s(literal 0 binary64) b)
(-.f64 (exp.f64 (log1p.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) b)
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))) b)
(pow.f64 b #s(literal 1 binary64))
(pow.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 b) #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 b) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 b #s(literal 2 binary64)))
(fabs.f64 b)
(log.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)))
(cbrt.f64 (pow.f64 b #s(literal 3 binary64)))
b
(expm1.f64 (log1p.f64 b))
(log1p.f64 (expm1.f64 b))
(exp.f64 (log.f64 b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) a))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)))
(pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) a))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) a))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1/2 binary64) a))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) a)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 a #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (*.f64 a #s(literal -4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 a #s(literal -4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 16 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 a #s(literal -4 binary64)))))
(pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 a) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 a #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 a #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64)))

eval105.0ms (1%)

Compiler

Compiled 17406 to 2286 computations (86.9% saved)

prune141.0ms (1.3%)

Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New86520885
Fresh72128
Picked145
Done134
Total87448922
Accuracy
94.3%
Counts
922 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶25.1%
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
✓1.6%
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
32.9%
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))) a)) #s(literal 3 binary64))
2.7%
(pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64))
2.4%
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) (/.f64 c b))) #s(literal 3 binary64))
24.8%
(/.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
21.9%
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
31.8%
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
17.4%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
17.2%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))) #s(literal 3 binary64)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
17.3%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 3 binary64))) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
✓17.5%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
✓46.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
▶29.4%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
31.9%
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) c) a) #s(literal -1/2 binary64)) (*.f64 b a))
12.2%
(/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c b)) (*.f64 a #s(literal 2 binary64)))
18.1%
(/.f64 (cbrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 3 binary64))) (*.f64 a #s(literal 2 binary64)))
▶12.1%
(/.f64 c b)
30.6%
(/.f64 b (neg.f64 a))
✓2.7%
(/.f64 b a)
30.5%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
▶45.0%
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
✓45.4%
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
2.4%
(+.f64 (/.f64 b a) (/.f64 c b))
30.3%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 c) b)))
30.3%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)))
25.1%
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 1/2 binary64))
13.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))))
32.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))
✓46.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
✓35.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
32.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) #s(literal 3 binary64))))
28.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a b))))
12.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a (/.f64 c b)))))
32.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (*.f64 a (/.f64 c b))))))
31.8%
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))
30.5%
(*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a)))
2.7%
(*.f64 b (/.f64 #s(literal 1 binary64) a))
29.7%
(*.f64 b (-.f64 (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))
38.3%
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) b))
10.5%
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
▶15.8%
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
30.1%
(*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64)))
38.8%
(*.f64 #s(literal -1 binary64) (/.f64 c b))
15.0%
(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 b a))))
14.1%
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))) a)))
30.5%
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))) a)))
1.3%
(exp.f64 (log.f64 (+.f64 (/.f64 b a) (/.f64 c b))))
Compiler

Compiled 1324 to 947 computations (28.5% saved)

localize553.0ms (5.3%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
✓cost-diff0
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
✓cost-diff6464
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
✓cost-diff-12864
(/.f64 b a)
✓cost-diff0
(sqrt.f64 (/.f64 b a))
✓cost-diff12864
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
✓cost-diff12928
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (*.f64 a c) b)
✓cost-diff64
(*.f64 #s(literal -1 binary64) b)
✓cost-diff128
(+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b))
✓cost-diff256
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
✓cost-diff0
(/.f64 c b)
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
✓cost-diff0
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
✓cost-diff384
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
✓accuracy99.9%
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
✓accuracy99.9%
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
✓accuracy93.1%
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
✓accuracy100.0%
(/.f64 b a)
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
✓accuracy99.8%
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
✓accuracy88.7%
(sqrt.f64 (/.f64 b a))
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) b)
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b))
✓accuracy98.1%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
✓accuracy96.7%
(/.f64 (*.f64 a c) b)
✓accuracy100.0%
(/.f64 c b)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
✓accuracy99.9%
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
✓accuracy89.9%
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
✓accuracy85.1%
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
Rules
1295×fma-define
539×div-sub
535×fma-neg
316×distribute-lft-neg-in
274×associate-*r/
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
043848
181804
2140792
3279792
4583778
51265772
62984772
75440772
86875772
97510772
107625772
117690772
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(pow.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 c b)
c
b
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
(+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b))
(*.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
(/.f64 (*.f64 a c) b)
(*.f64 a c)
a
c
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 b a))
(/.f64 b a)
b
a
#s(literal 2 binary64)
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(literal 2 binary64)
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
a
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
b
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
#s(literal -4 binary64)
(*.f64 a c)
c
#s(literal -1 binary64)
Outputs
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) a))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
b
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a))
#s(literal 1 binary64)
(/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 a (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(pow.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 c b)
c
b
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
(/.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (*.f64 a c) b)) a)
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 c b)) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b))
(fma.f64 #s(literal -1 binary64) b (/.f64 (*.f64 a c) b))
(-.f64 (*.f64 c (/.f64 a b)) b)
(-.f64 (*.f64 a (/.f64 c b)) b)
(*.f64 #s(literal -1 binary64) b)
(neg.f64 b)
#s(literal -1 binary64)
b
(/.f64 (*.f64 a c) b)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(*.f64 a c)
a
c
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
(neg.f64 (/.f64 b a))
(/.f64 b (neg.f64 a))
#s(literal -1 binary64)
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(/.f64 b a)
(sqrt.f64 (/.f64 b a))
(/.f64 b a)
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
b
a
#s(literal 2 binary64)
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a))
(*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(*.f64 a (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 a (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
#s(literal 2 binary64)
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
a
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
b
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
#s(literal -4 binary64)
(*.f64 a c)
c
#s(literal -1 binary64)
Results
67.0ms158×0invalid
25.0ms67×0valid
158.0ms17×2valid
13.0ms9×3valid
4.0ms5×1valid
Compiler

Compiled 232 to 36 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-mult: 157.0ms (73% of total)
ival-pow: 19.0ms (8.8% of total)
ival-div: 17.0ms (7.9% of total)
ival-sqrt: 7.0ms (3.3% of total)
ival-fma: 4.0ms (1.9% of total)
backward-pass: 4.0ms (1.9% of total)
ival-sub: 3.0ms (1.4% of total)
const: 1.0ms (0.5% of total)
ival-add: 1.0ms (0.5% of total)

series112.0ms (1.1%)

Counts
19 → 419
Calls
Call 1
Inputs
#<alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))>
#<alt (-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 b (/.f64 #s(literal -1/2 binary64) a))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (/.f64 c b)>
#<alt (/.f64 (*.f64 a c) b)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b))>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (sqrt.f64 (/.f64 b a))>
#<alt (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))>
#<alt (/.f64 b a)>
#<alt (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))>
#<alt (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))>
#<alt (/.f64 #s(literal -1/2 binary64) a)>
#<alt (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))>
Outputs
#<alt b>
#<alt (+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))>
#<alt (+.f64 b (*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 3 binary64)))))))>
#<alt (+.f64 b (*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))>
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#<alt (*.f64 #s(literal 2 binary64) (/.f64 a b))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) b))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)))) b))) b))) b))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) b))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)))))) b)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))))) b))) b))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -2 binary64) (/.f64 b (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64))))) c)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (/.f64 b (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)))))) c)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))))))) c)>
#<alt (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) b)) c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 b c))) c))) c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a))) c)) (*.f64 #s(literal 1/2 binary64) (*.f64 b c))) c))) c))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt b>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))))>
#<alt b>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)) #s(literal 1 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 a (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))>
#<alt (*.f64 c (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 c (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 c (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))>
Calls

138 calls:

TimeVariablePointExpression
12.0ms
c
@0
(pow (* 2 (/ a (- b (sqrt (* -4 (* a c)))))) -1)
7.0ms
b
@inf
(/ a (- b (sqrt (* -4 (* a c)))))
7.0ms
b
@inf
(* b (/ -1/2 a))
5.0ms
a
@0
(pow (* 2 (/ a (- b (sqrt (* -4 (* a c)))))) -1)
1.0ms
a
@inf
(/ a (- b (sqrt (* -4 (* a c)))))

rewrite254.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
302×log1p-expm1-u
302×expm1-log1p-u
294×add-exp-log
294×add-log-exp
294×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043567
1698551
Stop Event
1×node limit
Counts
19 → 483
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 c b)
(/.f64 (*.f64 a c) b)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
(+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b))
(*.f64 #s(literal -1 binary64) b)
(sqrt.f64 (/.f64 b a))
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
(/.f64 b a)
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
(/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 #s(literal -1/2 binary64) a)
(-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
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(expm1.f64 (log1p.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(log1p.f64 (expm1.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(exp.f64 (log.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(exp.f64 (*.f64 (log.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))

eval186.0ms (1.8%)

Compiler

Compiled 18517 to 2734 computations (85.2% saved)

prune569.0ms (5.4%)

Pruning

52 alts after pruning (42 fresh and 10 done)

PrunedKeptTotal
New89111902
Fresh53136
Picked235
Done077
Total89852950
Accuracy
94.3%
Counts
950 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))))) #s(literal -1 binary64))
25.1%
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) #s(literal -1 binary64))
✓1.6%
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
32.9%
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))) a)) #s(literal 3 binary64))
12.1%
(pow.f64 (cbrt.f64 (/.f64 c b)) #s(literal 3 binary64))
2.7%
(pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64))
24.8%
(/.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
12.0%
(/.f64 (/.f64 (*.f64 a c) b) a)
21.9%
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
31.8%
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
17.4%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
17.2%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))) #s(literal 3 binary64)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
17.3%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 3 binary64))) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
✓17.5%
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
✓46.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
2.3%
(/.f64 (+.f64 (pow.f64 (cbrt.f64 b) #s(literal 3 binary64)) (/.f64 (*.f64 a c) b)) a)
30.3%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) #s(literal 3 binary64))) a)
31.9%
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) c) a) #s(literal -1/2 binary64)) (*.f64 b a))
✓12.1%
(/.f64 c b)
30.6%
(/.f64 b (neg.f64 a))
✓2.7%
(/.f64 b a)
25.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
30.5%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓45.0%
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
✓45.4%
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
2.4%
(+.f64 (/.f64 b a) (/.f64 c b))
2.4%
(*.f64 (fma.f64 a (/.f64 c b) b) (/.f64 #s(literal 1 binary64) a))
25.1%
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 1/2 binary64))
13.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))))
32.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))
✓46.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
✓35.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
32.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) #s(literal 3 binary64))))
28.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a b))))
12.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a (/.f64 c b)))))
32.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (*.f64 a (/.f64 c b))))))
31.8%
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))
12.1%
(*.f64 c (/.f64 #s(literal 1 binary64) b))
30.5%
(*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a)))
2.7%
(*.f64 b (/.f64 #s(literal 1 binary64) a))
29.7%
(*.f64 b (-.f64 (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))
38.3%
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) b))
13.4%
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
10.5%
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
✓15.8%
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
30.1%
(*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64)))
38.8%
(*.f64 #s(literal -1 binary64) (/.f64 c b))
15.0%
(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 b a))))
14.1%
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))) a)))
30.5%
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))) a)))
11.5%
(expm1.f64 (log1p.f64 (/.f64 c b)))
1.3%
(exp.f64 (log.f64 (+.f64 (/.f64 b a) (/.f64 c b))))
Compiler

Compiled 1711 to 812 computations (52.5% saved)

regimes94.0ms (0.9%)

Counts
78 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b b))
(+.f64 (/.f64 b a) (/.f64 c b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 #s(literal -1 binary64) b)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))
(/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c b)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) c) a) #s(literal -1/2 binary64)) (*.f64 b a))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a (/.f64 c b)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a b))))
(*.f64 (fma.f64 a (/.f64 c b) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 b (-.f64 (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a c)) (*.f64 a b))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 1/2 binary64))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) c) a)))) (*.f64 a #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 c b)))
(pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 c b)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 b a))))
(*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (+.f64 (/.f64 b a) (/.f64 c b))))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) b))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) (/.f64 c b))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))) a)))
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))) a)))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 b) #s(literal 3 binary64)) (/.f64 (*.f64 a c) b)) a)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))) a)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (*.f64 a (/.f64 c b))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) #s(literal 3 binary64))) a)
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 3 binary64))) (*.f64 a #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (-.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))))) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 c) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))))) (*.f64 a #s(literal 2 binary64)))
(-.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 3 binary64))) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64)))) #s(literal 3 binary64)) (sqrt.f64 c))) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64))))) (sqrt.f64 (*.f64 a #s(literal 2 binary64)))) (sqrt.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
Calls

4 calls:

22.0ms
c
22.0ms
a
22.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
21.0ms
b
Results
AccuracySegmentsBranch
54.0%3a
86.1%3b
55.4%5c
74.4%5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes12.0ms (0.1%)

Counts
32 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b b))
(+.f64 (/.f64 b a) (/.f64 c b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 #s(literal -1 binary64) b)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))
(/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c b)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) c) a) #s(literal -1/2 binary64)) (*.f64 b a))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a (/.f64 c b)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a b))))
(*.f64 (fma.f64 a (/.f64 c b) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 b (-.f64 (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a c)) (*.f64 a b))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 1/2 binary64))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 b (neg.f64 a))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
84.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b b))
(+.f64 (/.f64 b a) (/.f64 c b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 #s(literal -1 binary64) b)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))
(/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c b)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) c) a) #s(literal -1/2 binary64)) (*.f64 b a))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a (/.f64 c b)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a b))))
(*.f64 (fma.f64 a (/.f64 c b) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 b (-.f64 (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a c)) (*.f64 a b))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 b (neg.f64 a))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
84.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Counts
26 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b b))
(+.f64 (/.f64 b a) (/.f64 c b))
(/.f64 (/.f64 (*.f64 a c) b) a)
(*.f64 #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 a))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 #s(literal -1 binary64) b)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))))
(/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c b)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) c) a) #s(literal -1/2 binary64)) (*.f64 b a))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) b)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a (/.f64 c b)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a b))))
(*.f64 (fma.f64 a (/.f64 c b) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 b (-.f64 (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a c)) (*.f64 a b))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(/.f64 b (neg.f64 a))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
67.0%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
Outputs
(/.f64 c b)
(/.f64 b (neg.f64 a))
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
c
Results
AccuracySegmentsBranch
30.6%1c
30.6%1a
39.8%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

3 calls:

2.0ms
c
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
12.1%1c
12.1%1a
12.1%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 b a)
Outputs
(/.f64 b a)
Calls

3 calls:

5.0ms
b
1.0ms
a
1.0ms
c
Results
AccuracySegmentsBranch
2.7%1a
2.7%1b
2.7%1c
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
2.1378550431289012e+75
6.391902586596456e+76
26.0ms
-1.7587602469262413e-66
-9.977612254249643e-71
Results
21.0ms198×0valid
2.0ms24×0invalid
6.0ms23×1valid
5.0ms19×2valid
Compiler

Compiled 504 to 363 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (37.6% of total)
ival-div: 4.0ms (16.7% of total)
ival-neg: 4.0ms (16.7% of total)
ival-sub: 3.0ms (12.5% of total)
ival-sqrt: 3.0ms (12.5% of total)
backward-pass: 1.0ms (4.2% of total)
const: 0.0ms (0% of total)

bsearch64.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
5.641718159208978e-43
1.1364045049181917e-31
29.0ms
-1.7587602469262413e-66
-9.977612254249643e-71
Results
21.0ms231×0valid
4.0ms50×0invalid
7.0ms37×1valid
6.0ms20×2valid
Compiler

Compiled 484 to 369 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 11.0ms (42.8% of total)
ival-sub: 4.0ms (15.6% of total)
ival-div: 3.0ms (11.7% of total)
ival-sqrt: 3.0ms (11.7% of total)
ival-neg: 2.0ms (7.8% of total)
backward-pass: 1.0ms (3.9% of total)
const: 1.0ms (3.9% of total)

bsearch60.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
5.641718159208978e-43
1.1364045049181917e-31
27.0ms
-1.7587602469262413e-66
-9.977612254249643e-71
Results
26.0ms238×0valid
3.0ms38×0invalid
6.0ms32×1valid
5.0ms18×2valid
Compiler

Compiled 466 to 351 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 11.0ms (44.8% of total)
ival-sub: 4.0ms (16.3% of total)
ival-div: 3.0ms (12.2% of total)
ival-sqrt: 3.0ms (12.2% of total)
ival-neg: 2.0ms (8.1% of total)
const: 1.0ms (4.1% of total)
backward-pass: 1.0ms (4.1% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-7.185314897088689e-289
-8.228034786691589e-290
Results
9.0ms96×0valid
3.0ms39×0invalid
Compiler

Compiled 128 to 97 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (51.1% of total)
ival-sub: 1.0ms (12.8% of total)
ival-div: 1.0ms (12.8% of total)
ival-sqrt: 1.0ms (12.8% of total)
ival-neg: 1.0ms (12.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
-0.40892546482463416
-1.0236432639025486e-5
Results
5.0ms58×0valid
11.0ms37×2valid
22.0ms33×1valid
1.0ms13×0invalid
Compiler

Compiled 146 to 107 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 22.0ms (69.8% of total)
ival-sqrt: 2.0ms (6.3% of total)
ival-div: 2.0ms (6.3% of total)
ival-sub: 2.0ms (6.3% of total)
backward-pass: 1.0ms (3.2% of total)
ival-neg: 1.0ms (3.2% of total)
const: 0.0ms (0% of total)

soundness576.0ms (5.5%)

Rules
1892×fma-neg
379×fma-define
372×sub-neg
364×div-sub
288×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067779
1216723
2635691
32137671
45143671
56383671
66747671
76881671
86920671
97073671
043557
1660535
Stop Event
1×fuel
1×node limit
1×node limit
Compiler

Compiled 725 to 196 computations (73% saved)

preprocess64.0ms (0.6%)

Compiler

Compiled 392 to 182 computations (53.6% saved)

end0.0ms (0%)

Profiling

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