Numeric.SpecFunctions:$slogFactorial from math-functions-0.1.5.2, A

Time bar (total: 2.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample555.0ms (25%)

Memory
8.1MiB live, 790.1MiB allocated
Samples
286.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-mult: 78.0ms (52.1% of total)
ival-div: 58.0ms (38.8% of total)
ival-true: 5.0ms (3.3% of total)
exact: 5.0ms (3.3% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

explain48.0ms (2.1%)

Memory
-2.7MiB live, 72.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
21(4.494148365799654e+161)0-(/.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 #s(literal 1 binary64) (*.f64 x x))n/o30
(*.f64 x x)overflow69
Confusion
Predicted +Predicted -
+20
-1253
Precision
0.6666666666666666
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-10253
Precision?
0.6666666666666666
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 8.0ms (50.2% of total)
ival-mult: 7.0ms (43.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.9%)

Memory
-14.0MiB live, 23.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
12410
26710
313510
418610
522410
623610
045
065
1105
0105
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11010
01010
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize12.0ms (0.6%)

Memory
21.6MiB live, 21.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.38962206650090925
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Samples
8.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.9% of total)
ival-mult: 2.0ms (52.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(/ 1 (pow x 2))
(pow x 2)
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((/ 1 (* x x)) (* x x))
0.0ms
x
@inf
((/ 1 (* x x)) (* x x))
0.0ms
x
@-inf
((/ 1 (* x x)) (* x x))

simplify2.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
188
2108
0108
Stop Event
iter limit
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(/ 1 (pow x 2))
(pow x 2)
Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)

rewrite63.0ms (2.9%)

Memory
-10.5MiB live, 72.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048
068
1206
2736
32606
011026
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
2 → 110
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64))) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x) x))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64))) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))

eval15.0ms (0.7%)

Memory
-13.9MiB live, 24.1MiB allocated
Compiler

Compiled 1 027 to 266 computations (74.1% saved)

prune3.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1084112
Fresh000
Picked011
Done000
Total1085113
Accuracy
100.0%
Counts
113 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 x #s(literal -2 binary64))
99.8%
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.6%
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify28.0ms (1.3%)

Memory
-7.9MiB live, 30.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal -2 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff1
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 x (sqrt.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff4
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff6
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01570
02677
14755
28555
314355
419355
522555
625855
728455
831555
933955
1034755
1142955
1257055
1362755
1462955
1563055
063055
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
#s(literal 1 binary64)
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 x)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x x)
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
x
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 x)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)

localize49.0ms (2.2%)

Memory
-0.3MiB live, 81.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal -2 binary64))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.0
(neg.f64 x)
accuracy0.09765625
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
accuracy0.0
(sqrt.f64 x)
accuracy0.17578125
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.18359375
(*.f64 x (sqrt.f64 x))
accuracy0.38962206650090925
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
accuracy0.0
(sqrt.f64 x)
accuracy0.174160009768442
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
accuracy0.24285126953688405
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
accuracy0.265625
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
Samples
37.0ms256×0valid
Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 8.0ms (33.8% of total)
ival-neg: 6.0ms (25.3% of total)
ival-mult: 4.0ms (16.9% of total)
ival-pow: 3.0ms (12.7% of total)
ival-sqrt: 2.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.4%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
11 → 12
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(pow.f64 x #s(literal -2 binary64))
Outputs
(/ 1 (pow x 2))
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(* -1 (sqrt (/ 1 (pow x 3))))
(pow x 2)
(sqrt (pow x 3))
(/ -1 x)
(* -1 x)
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ -1 (sqrt x)) (sqrt x) (/ (/ -1 x) (sqrt x)) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (/ (/ -1 x) (neg x)) (/ -1 x) (neg x) (pow x -2))
2.0ms
x
@0
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ -1 (sqrt x)) (sqrt x) (/ (/ -1 x) (sqrt x)) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (/ (/ -1 x) (neg x)) (/ -1 x) (neg x) (pow x -2))
2.0ms
x
@inf
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ -1 (sqrt x)) (sqrt x) (/ (/ -1 x) (sqrt x)) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (/ (/ -1 x) (neg x)) (/ -1 x) (neg x) (pow x -2))

simplify98.0ms (4.4%)

Memory
7.9MiB live, 46.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02745
15645
213245
328845
472245
5132545
6174145
7227145
8252345
9260145
10262845
11267645
12282145
13282145
14282145
15282145
0282145
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
(/ 1 (pow x 2))
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(* -1 (sqrt (/ 1 (pow x 3))))
(pow x 2)
(sqrt (pow x 3))
(/ -1 x)
(* -1 x)
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
Outputs
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(* -1 (sqrt (/ 1 (pow x 3))))
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 x)
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))

rewrite104.0ms (4.7%)

Memory
-30.1MiB live, 135.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01557
02672
18734
246031
0214231
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
11 → 558
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(pow.f64 x #s(literal -2 binary64))
Outputs
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 x x)) x)
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(neg.f64 (pow.f64 x #s(literal -3/2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -3/2 binary64)))
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(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
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(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))

eval60.0ms (2.7%)

Memory
-5.2MiB live, 109.8MiB allocated
Compiler

Compiled 5 950 to 1 232 computations (79.3% saved)

prune8.0ms (0.4%)

Memory
30.3MiB live, 30.3MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5074511
Fresh000
Picked224
Done011
Total5097516
Accuracy
100.0%
Counts
516 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 x #s(literal -2 binary64))
99.6%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
99.6%
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
99.5%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.8%
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Compiler

Compiled 65 to 44 computations (32.3% saved)

simplify24.0ms (1.1%)

Memory
-25.6MiB live, 13.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff1
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
cost-diff4
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff1
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
cost-diff4
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
cost-diff6
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff0
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022108
03586
16774
213172
318072
421672
524772
628672
732172
843772
962272
1067972
1168172
1268272
068272
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(neg.f64 (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(neg.f64 x)
Outputs
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(sqrt.f64 x)
(neg.f64 (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(neg.f64 x)

localize51.0ms (2.3%)

Memory
-1.2MiB live, 80.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.09765625
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
accuracy0.265625
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0.33203125
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.0
(sqrt.f64 x)
accuracy0.0
(neg.f64 (sqrt.f64 x))
accuracy0.09765625
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
accuracy0.5
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
accuracy0.0
(sqrt.f64 x)
accuracy0.09765625
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
accuracy0.265625
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0.5341987793053261
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy0.09765625
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
Samples
35.0ms256×0valid
Compiler

Compiled 104 to 20 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 16.0ms (64.7% of total)
ival-mult: 4.0ms (16.2% of total)
ival-sqrt: 2.0ms (8.1% of total)
ival-neg: 2.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
14 → 13
Calls
Call 1
Inputs
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(neg.f64 (sqrt.f64 x))
(neg.f64 x)
Outputs
(/ 1 (pow x 2))
(/ 1 x)
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(* -1 x)
(/ -1 x)
(* -1 (sqrt x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (pow (sqrt -1) 2))
(/ 1 (* x (pow (sqrt -1) 2)))
(* (sqrt x) (pow (sqrt -1) 2))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ (/ 1 x) x) (/ 1 x) (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) (/ (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) x) (/ -1 (sqrt x)) (sqrt x) (* (sqrt x) (neg (sqrt x))) (/ (/ -1 x) (* (sqrt x) (neg (sqrt x)))) (/ -1 x) (/ (/ -1 (sqrt x)) (sqrt x)) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (neg (sqrt x)) (neg x))
1.0ms
x
@0
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ (/ 1 x) x) (/ 1 x) (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) (/ (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) x) (/ -1 (sqrt x)) (sqrt x) (* (sqrt x) (neg (sqrt x))) (/ (/ -1 x) (* (sqrt x) (neg (sqrt x)))) (/ -1 x) (/ (/ -1 (sqrt x)) (sqrt x)) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (neg (sqrt x)) (neg x))
1.0ms
x
@inf
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ (/ 1 x) x) (/ 1 x) (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) (/ (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) x) (/ -1 (sqrt x)) (sqrt x) (* (sqrt x) (neg (sqrt x))) (/ (/ -1 x) (* (sqrt x) (neg (sqrt x)))) (/ -1 x) (/ (/ -1 (sqrt x)) (sqrt x)) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (neg (sqrt x)) (neg x))

simplify51.0ms (2.3%)

Memory
-4.6MiB live, 34.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02241
14241
29141
317941
448041
585141
6166441
7217641
8230541
9233541
10236941
11236941
12236941
13236941
0236941
Stop Event
iter limit
saturated
Counts
13 → 13
Calls
Call 1
Inputs
(/ 1 (pow x 2))
(/ 1 x)
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(* -1 x)
(/ -1 x)
(* -1 (sqrt x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (pow (sqrt -1) 2))
(/ 1 (* x (pow (sqrt -1) 2)))
(* (sqrt x) (pow (sqrt -1) 2))
Outputs
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(* -1 x)
(neg.f64 x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ -1 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* x (pow (sqrt -1) 2))
(neg.f64 x)
(/ 1 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal -1 binary64) x)
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))

rewrite118.0ms (5.3%)

Memory
-1.6MiB live, 189.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02292
03569
112343
272440
3259640
0835840
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 814
Calls
Call 1
Inputs
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(neg.f64 (sqrt.f64 x))
(neg.f64 x)
Outputs
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal -7/4 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal -7/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -7/4 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
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x

eval203.0ms (9.2%)

Memory
30.5MiB live, 422.2MiB allocated
Compiler

Compiled 31 416 to 4 977 computations (84.2% saved)

prune28.0ms (1.3%)

Memory
-11.7MiB live, 107.0MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1 86201 862
Fresh000
Picked044
Done033
Total1 86271 869
Accuracy
100.0%
Counts
1 869 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 x #s(literal -2 binary64))
99.6%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
99.6%
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
99.5%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.8%
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Compiler

Compiled 147 to 77 computations (47.6% saved)

regimes9.0ms (0.4%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(pow.f64 x #s(literal -2 binary64))
Outputs
(pow.f64 x #s(literal -2 binary64))
Calls

3 calls:

3.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 1 binary64) (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.5%)

Memory
-28.7MiB live, 18.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
Outputs
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Calls

3 calls:

4.0ms
(/.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms
x
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.8%1(*.f64 x x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.4%1(*.f64 x x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify88.0ms (4%)

Memory
11.5MiB live, 50.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01525
12624
24424
37520
411720
517319
623019
732419
8171619
9476419
Stop Event
node limit
Calls
Call 1
Inputs
(pow.f64 x #s(literal -2 binary64))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Outputs
(pow.f64 x #s(literal -2 binary64))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))

soundness503.0ms (22.7%)

Memory
-39.9MiB live, 149.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02745
15645
213245
328845
472245
5132545
6174145
7227145
8252345
9260145
10262845
11267645
12282145
13282145
14282145
15282145
0282145
048
068
1206
2736
32606
011026
Stop Event
done
iter limit
iter limit
node limit
iter limit
iter limit
saturated
Compiler

Compiled 54 to 35 computations (35.2% saved)

preprocess43.0ms (1.9%)

Memory
-0.7MiB live, 35.5MiB allocated
Remove

(abs x)

Compiler

Compiled 88 to 64 computations (27.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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