Jmat.Real.erfi, branch x less than or equal to 0.5

Time bar (total: 2.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
100%74.9%0%25.1%0%0%0%1
Compiler

Compiled 71 to 30 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-pi: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)

sample2.3s (84.6%)

Results
1.9s8256×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 925.0ms (57.8% of total)
ival-div: 246.0ms (15.4% of total)
ival-add: 138.0ms (8.6% of total)
ival-fabs: 98.0ms (6.1% of total)
ival-sqrt: 70.0ms (4.4% of total)
ival-pi: 56.0ms (3.5% of total)
ival-<=: 44.0ms (2.8% of total)
const: 23.0ms (1.4% of total)
Bogosity

preprocess100.0ms (3.7%)

Algorithm
egg-herbie
Rules
596×fma-neg
516×distribute-lft-neg-out
465×distribute-lft-in
436×neg-sub0
408×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054792
1168576
2389388
32082356
46561356
Stop Event
node limit
Calls
Call 1
Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x)))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))))))
Outputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x)))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))) (fabs.f64 (neg.f64 x))))))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1/21 binary64) (*.f64 (*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))))
(neg.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 1/21 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64)))))
(neg.f64 (fabs.f64 (/.f64 (*.f64 (fabs.f64 x) (+.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))))) (sqrt.f64 (PI.f64)))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))))
Symmetry

(abs x)

explain264.0ms (9.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-#s(literal 21 binary64)
00-0-(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (fabs.f64 x))
00-0-(sqrt.f64 (PI.f64))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
00-0-(fabs.f64 x)
00-0-(*.f64 (fabs.f64 x) (fabs.f64 x))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 5 binary64))
00-0-(*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
00-0-(PI.f64)
00-0-(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
00-0-(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
00-0-(*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 21 binary64))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
00-0-#s(literal 3 binary64)
00-0-(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
00-0-#s(literal 1 binary64)
00-0-#s(literal 5 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
Results
135.0ms512×256valid
Compiler

Compiled 880 to 86 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 36.0ms (48.6% of total)
ival-div: 14.0ms (18.9% of total)
ival-add: 7.0ms (9.5% of total)
ival-fabs: 6.0ms (8.1% of total)
ival-pi: 5.0ms (6.8% of total)
ival-sqrt: 4.0ms (5.4% of total)
const: 2.0ms (2.7% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
Compiler

Compiled 136 to 56 computations (58.8% saved)

simplify12.0ms (0.5%)

Algorithm
egg-herbie
Rules
10×*-commutative
1-exp
+-commutative
fabs-mul
fabs-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036225
158225
262225
Stop Event
saturated
Calls
Call 1
Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
Outputs
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 #s(literal 2/3 binary64) (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 #s(literal 1/5 binary64) (*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))))) (*.f64 #s(literal 1/21 binary64) (*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x))))))))))

soundness0.0ms (0%)

Stop Event
fuel
Compiler

Compiled 56 to 25 computations (55.4% saved)

preprocess33.0ms (1.2%)

Remove

(abs x)

Compiler

Compiled 472 to 206 computations (56.4% saved)

end0.0ms (0%)

Profiling

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