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

Time bar (total: 3.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×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)

sample496.0ms (15.7%)

Memory
-5.3MiB live, 735.1MiB allocated
Samples
306.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-div: 72.0ms (46.3% of total)
ival-mult: 69.0ms (44.3% of total)
ival-true: 6.0ms (3.9% of total)
exact: 5.0ms (3.2% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain43.0ms (1.4%)

Memory
17.4MiB live, 94.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.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)overflow50
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
4.135986328125
Average Time
0.01615619659423828
Samples
11.0ms256×0valid
Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 4.0ms (62.4% of total)
ival-mult: 2.0ms (31.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.6%)

Memory
-12.7MiB live, 24.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
12410
26710
313510
418510
522310
623510
045
065
1105
0105
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize13.0ms (0.4%)

Memory
17.2MiB live, 17.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.5007304140502538
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Samples
9.0ms256×0valid
Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (51.3% of total)
ival-mult: 2.0ms (51.3% 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%)

Memory
2.1MiB live, 2.1MiB 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
2.1MiB live, 2.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
188
2108
0108
Stop Event
1×iter limit
1×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)

rewrite59.0ms (1.9%)

Memory
-8.9MiB live, 33.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048
068
1206
2726
32606
010926
Stop Event
1×iter limit
1×iter limit
1×node limit
1×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))

eval14.0ms (0.5%)

Memory
-16.9MiB live, 20.1MiB allocated
Compiler

Compiled 1 027 to 266 computations (74.1% saved)

prune4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB 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))
▶99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶99.5%
(*.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)

simplify25.0ms (0.8%)

Memory
23.2MiB live, 23.2MiB allocated
Algorithm
1×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-diff512
(/.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-diff1600
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff8448
(*.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
419055
521955
625255
727855
830955
933355
1034155
1142355
1256555
1360455
1460655
1560755
060755
Stop Event
1×iter limit
1×saturated
1×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)

localize51.0ms (1.6%)

Memory
-20.8MiB live, 53.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal -2 binary64))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(neg.f64 x)
accuracy0.1171875
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
accuracy0
(sqrt.f64 x)
accuracy0.16015625
(*.f64 x (sqrt.f64 x))
accuracy0.181972509768442
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.5007304140502538
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
accuracy0
(sqrt.f64 x)
accuracy0.213222509768442
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
accuracy0.21875
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
accuracy0.24609375
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
Samples
36.0ms256×0valid
Compiler

Compiled 142 to 32 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 8.0ms (31.1% of total)
ival-sqrt: 7.0ms (27.2% of total)
ival-mult: 6.0ms (23.3% of total)
ival-pow: 3.0ms (11.6% of total)
ival-neg: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory
12.5MiB live, 12.5MiB 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 #s(literal -1 binary64) 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))
(neg.f64 x)
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
Outputs
(/ 1 (pow x 2))
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(/ -1 x)
(pow x 2)
(sqrt (pow x 3))
(* -1 x)
(* -1 (sqrt (/ 1 (pow x 3))))
(/ -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) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (/ (/ -1 x) (neg x)) (neg x) (pow x -2) (/ (/ -1 x) (sqrt x)))
2.0ms
x
@0
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ -1 (sqrt x)) (sqrt x) (/ -1 x) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (/ (/ -1 x) (neg x)) (neg x) (pow x -2) (/ (/ -1 x) (sqrt x)))
2.0ms
x
@inf
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ -1 (sqrt x)) (sqrt x) (/ -1 x) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (/ (/ -1 x) (neg x)) (neg x) (pow x -2) (/ (/ -1 x) (sqrt x)))

simplify105.0ms (3.3%)

Memory
-13.3MiB live, 38.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02745
15645
213245
328845
472245
5129145
6169945
7221945
8247345
9254745
10257345
11262145
12272545
13272545
14272545
15272545
0272545
Stop Event
1×iter limit
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
(/ 1 (pow x 2))
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(/ -1 x)
(pow x 2)
(sqrt (pow x 3))
(* -1 x)
(* -1 (sqrt (/ 1 (pow x 3))))
(/ -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 x)
(/.f64 #s(literal -1 binary64) x)
(pow x 2)
(*.f64 x x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (sqrt (/ 1 (pow x 3))))
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/ -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)))

rewrite101.0ms (3.2%)

Memory
12.2MiB live, 85.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01557
02672
18734
245731
0213531
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×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 #s(literal -1 binary64) 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))
(neg.f64 x)
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
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)) (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 (/.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)) (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 (/.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 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 (/.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)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 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 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 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 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 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) (pow.f64 x #s(literal -1/2 binary64))) x)
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(*.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 #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)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 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 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.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)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))

eval65.0ms (2.1%)

Memory
10.5MiB live, 90.9MiB allocated
Compiler

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

prune13.0ms (0.4%)

Memory
-4.2MiB live, 32.5MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New5056511
Fresh000
Picked134
Done011
Total50610516
Accuracy
100.0%
Counts
516 → 10
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))
▶99.5%
(/.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)
✓99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
▶99.4%
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
✓99.5%
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
▶99.8%
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Compiler

Compiled 178 to 112 computations (37.1% saved)

simplify25.0ms (0.8%)

Memory
-12.6MiB live, 26.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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-diff2304
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
cost-diff-5760
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff8064
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff128
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
cost-diff1984
(/.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-diff128
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
cost-diff1600
(*.f64 (sqrt.f64 x) (neg.f64 (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
024133
039105
17493
213991
318891
422591
525691
629591
733091
844491
962691
1066591
1166791
1266891
066891
Stop Event
1×iter limit
1×saturated
1×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 #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)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.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) (sqrt.f64 x)) 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
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 #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)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(/.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

localize62.0ms (2%)

Memory
4.8MiB live, 127.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.1171875
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
accuracy0.24609375
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0.47103500976844204
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
accuracy0
(sqrt.f64 x)
accuracy0.1953125
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
accuracy0.213222509768442
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
accuracy0.24609375
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0
(neg.f64 x)
accuracy0.1171875
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
accuracy0.24609375
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0.296875
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
accuracy0
(sqrt.f64 x)
accuracy0
(neg.f64 (sqrt.f64 x))
accuracy0.1171875
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
accuracy0.46484375
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy0.1171875
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
Samples
47.0ms256×0valid
Compiler

Compiled 262 to 47 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 19.0ms (62.4% of total)
ival-mult: 6.0ms (19.7% of total)
ival-neg: 3.0ms (9.9% of total)
ival-sqrt: 2.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
16 → 14
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 (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)
(sqrt.f64 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))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(/.f64 (/.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 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(neg.f64 (sqrt.f64 x))
(neg.f64 x)
Outputs
(/ 1 (pow x 2))
(/ 1 x)
(* -1 x)
(/ -1 x)
(sqrt x)
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 (pow x 3))))
(* -1 (sqrt x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* x (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1 (* x (pow (sqrt -1) 2)))
(/ -1 (* x (pow (sqrt -1) 2)))
(* (sqrt x) (pow (sqrt -1) 2))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ (/ 1 x) x) (/ 1 x) (* (sqrt x) (neg (sqrt x))) (/ (/ -1 x) (* (sqrt x) (neg (sqrt x)))) (/ -1 x) (sqrt x) (/ (/ -1 (sqrt x)) (sqrt x)) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (/ -1 (sqrt x)) (* (/ -1 (sqrt x)) (/ (/ -1 (sqrt x)) x)) (/ (/ -1 (sqrt x)) x) (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) (/ (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) x) (neg (sqrt x)) (neg x))
2.0ms
x
@0
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ (/ 1 x) x) (/ 1 x) (* (sqrt x) (neg (sqrt x))) (/ (/ -1 x) (* (sqrt x) (neg (sqrt x)))) (/ -1 x) (sqrt x) (/ (/ -1 (sqrt x)) (sqrt x)) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (/ -1 (sqrt x)) (* (/ -1 (sqrt x)) (/ (/ -1 (sqrt x)) x)) (/ (/ -1 (sqrt x)) x) (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) (/ (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) x) (neg (sqrt x)) (neg x))
1.0ms
x
@inf
((* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/ (/ 1 x) x) (/ 1 x) (* (sqrt x) (neg (sqrt x))) (/ (/ -1 x) (* (sqrt x) (neg (sqrt x)))) (/ -1 x) (sqrt x) (/ (/ -1 (sqrt x)) (sqrt x)) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (/ -1 (sqrt x)) (* (/ -1 (sqrt x)) (/ (/ -1 (sqrt x)) x)) (/ (/ -1 (sqrt x)) x) (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) (/ (* (/ -1 (sqrt x)) (/ -1 (sqrt x))) x) (neg (sqrt x)) (neg x))

simplify182.0ms (5.8%)

Memory
-8.1MiB live, 110.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02748
15148
210448
320248
457148
5104948
6223248
7293848
8326948
9345448
10368248
11387848
12405448
13556048
14625648
15679448
16761248
17764048
18766848
19798848
0818048
Stop Event
1×iter limit
1×node limit
Counts
14 → 14
Calls
Call 1
Inputs
(/ 1 (pow x 2))
(/ 1 x)
(* -1 x)
(/ -1 x)
(sqrt x)
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 (pow x 3))))
(* -1 (sqrt x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* x (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1 (* x (pow (sqrt -1) 2)))
(/ -1 (* x (pow (sqrt -1) 2)))
(* (sqrt x) (pow (sqrt -1) 2))
Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(sqrt x)
(sqrt.f64 x)
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 (pow x 3))))
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* x (pow (sqrt -1) 2))
(neg.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(/ 1 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal -1 binary64) 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 (3.7%)

Memory
-12.6MiB live, 157.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024109
03980
113551
279846
3267446
0826646
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 824
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 (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)
(sqrt.f64 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))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(/.f64 (/.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 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) 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 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal -1 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)))
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(fma.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(sqrt.f64 (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) x)
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) x)
(fabs.f64 (-.f64 x (/.f64 #s(literal 0 binary64) (*.f64 x x))))
(fabs.f64 (-.f64 x (/.f64 #s(literal 0 binary64) x)))
(fabs.f64 (-.f64 x (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(fabs.f64 (-.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(fabs.f64 x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (fma.f64 (log.f64 x) #s(literal -1 binary64) (neg.f64 (log.f64 x)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
x

eval239.0ms (7.6%)

Memory
22.5MiB live, 479.1MiB allocated
Compiler

Compiled 37 522 to 5 448 computations (85.5% saved)

prune38.0ms (1.2%)

Memory
19.9MiB live, 137.4MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New2 27332 276
Fresh011
Picked235
Done044
Total2 275112 286
Accuracy
100.0%
Counts
2 286 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 x #s(literal -2 binary64))
▶99.7%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
✓99.6%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
▶99.7%
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (neg.f64 x))
✓99.5%
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
✓99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
✓99.5%
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
▶99.2%
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) x))
✓99.8%
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Compiler

Compiled 128 to 86 computations (32.8% saved)

simplify78.0ms (2.5%)

Memory
-66.6MiB live, 107.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (sqrt.f64 x))
cost-diff512
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
cost-diff704
(/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)))
cost-diff1984
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x))
cost-diff0
#s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
cost-diff0
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (neg.f64 x))
cost-diff128
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(sqrt.f64 (sqrt.f64 x))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
cost-diff2240
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff8448
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) x))
cost-diff320
(/.f64 x (*.f64 x x))
cost-diff384
(/.f64 (/.f64 x (*.f64 x x)) x)
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
030177
050146
184132
2186132
3578128
43737128
56526125
08069125
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) x))
(/.f64 (/.f64 x (*.f64 x x)) x)
(/.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
#s(literal -1 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
#s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(neg.f64 x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)))
#s(literal -1 binary64)
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(neg.f64 x)
Outputs
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) x))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 x (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
x
(*.f64 x x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (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) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 x))
(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 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(/.f64 #s(approx (/ -1 (sqrt x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
#s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ -1 (sqrt x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(neg.f64 x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(neg.f64 x)

localize118.0ms (3.7%)

Memory
18.1MiB live, 96.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
accuracy0.24609375
(/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)))
accuracy0.296875
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x))
accuracy0.46875
(/.f64 x (sqrt.f64 x))
accuracy0
#s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy0.08984375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.1171875
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (neg.f64 x))
accuracy0.296875
(/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
accuracy0.213222509768442
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
accuracy0.21875
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
accuracy0.24609375
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
accuracy0.5514450195368841
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy0
(*.f64 x x)
accuracy0
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) x))
accuracy0.1171875
(/.f64 (/.f64 x (*.f64 x x)) x)
accuracy27.097883123235178
(/.f64 x (*.f64 x x))
Samples
54.0ms256×0valid
Compiler

Compiled 330 to 58 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 26.0ms (63.3% of total)
ival-mult: 7.0ms (17% of total)
ival-sqrt: 5.0ms (12.2% of total)
ival-neg: 2.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series96.0ms (3%)

Memory
-16.7MiB live, 59.1MiB allocated
Counts
18 → 15
Calls
Call 1
Inputs
(/.f64 (/.f64 x (*.f64 x x)) x)
(/.f64 x (*.f64 x x))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) x))
(*.f64 x x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
#s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 x (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Outputs
(/ 1 (pow x 2))
(/ 1 x)
(pow x 2)
(sqrt x)
(* -1 (sqrt (/ 1 x)))
(pow (* 1 x) 1/4)
(/ -1 x)
(* -1 (sqrt (/ 1 (pow x 3))))
(sqrt (/ 1 x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(/ 1 (* x (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
Calls

3 calls:

TimeVariablePointExpression
46.0ms
x
@0
((/ (/ x (* x x)) x) (/ x (* x x)) (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (* x x) (* (/ -1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/ (/ -1 x) (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (/ -1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (sqrt (sqrt x)) (neg (sqrt (/ 1 x))) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (/ (/ -1 (sqrt x)) (sqrt x)) (/ -1 (sqrt x)) (/ (/ -1 (/ x (sqrt x))) (sqrt x)) (/ -1 (/ x (sqrt x))) (/ (/ (/ -1 (/ x (sqrt x))) (sqrt x)) (neg x)) (/ x (sqrt x)) (/ (/ -1 x) (sqrt x)) (sqrt (/ 1 x)))
39.0ms
x
@inf
((/ (/ x (* x x)) x) (/ x (* x x)) (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (* x x) (* (/ -1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/ (/ -1 x) (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (/ -1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (sqrt (sqrt x)) (neg (sqrt (/ 1 x))) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (/ (/ -1 (sqrt x)) (sqrt x)) (/ -1 (sqrt x)) (/ (/ -1 (/ x (sqrt x))) (sqrt x)) (/ -1 (/ x (sqrt x))) (/ (/ (/ -1 (/ x (sqrt x))) (sqrt x)) (neg x)) (/ x (sqrt x)) (/ (/ -1 x) (sqrt x)) (sqrt (/ 1 x)))
10.0ms
x
@-inf
((/ (/ x (* x x)) x) (/ x (* x x)) (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (* x x) (* (/ -1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/ (/ -1 x) (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (/ -1 (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (sqrt (sqrt x)) (neg (sqrt (/ 1 x))) (/ (/ (/ -1 (sqrt x)) (sqrt x)) (neg x)) (/ (/ -1 (sqrt x)) (sqrt x)) (/ -1 (sqrt x)) (/ (/ -1 (/ x (sqrt x))) (sqrt x)) (/ -1 (/ x (sqrt x))) (/ (/ (/ -1 (/ x (sqrt x))) (sqrt x)) (neg x)) (/ x (sqrt x)) (/ (/ -1 x) (sqrt x)) (sqrt (/ 1 x)))

simplify98.0ms (3.1%)

Memory
9.5MiB live, 46.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03362
16262
214362
326962
452262
590162
6156362
7189362
8212962
9216562
10222062
11229262
12247262
13251262
14252862
15252862
16252862
0252862
Stop Event
1×iter limit
1×saturated
Counts
15 → 15
Calls
Call 1
Inputs
(/ 1 (pow x 2))
(/ 1 x)
(pow x 2)
(sqrt x)
(* -1 (sqrt (/ 1 x)))
(pow (* 1 x) 1/4)
(/ -1 x)
(* -1 (sqrt (/ 1 (pow x 3))))
(sqrt (/ 1 x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(/ 1 (* x (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x x)
(sqrt x)
(sqrt.f64 x)
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (sqrt (/ 1 (pow x 3))))
(neg.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal -1 binary64) x)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

rewrite245.0ms (7.8%)

Memory
-11.7MiB live, 103.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030154
050122
116092
2108686
0616186
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 633
Calls
Call 1
Inputs
(/.f64 (/.f64 x (*.f64 x x)) x)
(/.f64 x (*.f64 x x))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) x))
(*.f64 x x)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
#s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 x (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal -5/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))
(*.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 (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal -5/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -5/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -5/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (pow.f64 x #s(literal -5/4 binary64)) (neg.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7/4 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -5/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7/4 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.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 (neg.f64 x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) x))
(*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(*.f64 x (pow.f64 x #s(literal -3 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 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal 5/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.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))) #s(literal 0 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 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(/.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal 7/4 binary64)))))
(/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 5/4 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -5/4 binary64))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)))
(/.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 7/4 binary64))))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(/.f64 (neg.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 (*.f64 (neg.f64 x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal -5/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 7/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(/.f64 (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 x (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) (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 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 0 binary64)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 x (neg.f64 (pow.f64 x #s(literal -3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal -5/4 binary64))))
(*.f64 (*.f64 x (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -5/4 binary64))) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal -5/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -5/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7/4 binary64))) x))
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(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) x)
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (sqrt.f64 x))))
(*.f64 x (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (sqrt.f64 x) x)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal -3/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 x (pow.f64 x #s(literal -3/2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))

eval165.0ms (5.2%)

Memory
39.2MiB live, 228.9MiB allocated
Compiler

Compiled 22 233 to 3 709 computations (83.3% saved)

prune39.0ms (1.2%)

Memory
-20.9MiB live, 61.5MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1 11521 117
Fresh000
Picked224
Done077
Total1 117111 128
Accuracy
100.0%
Counts
1 128 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 x #s(literal -2 binary64))
✓99.7%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
✓99.6%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
99.5%
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 x)) (sqrt.f64 x))
99.8%
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (/.f64 (sqrt.f64 x) x))) (sqrt.f64 x)) (neg.f64 x))
✓99.5%
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
✓99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓99.5%
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
✓99.2%
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) x))
✓99.8%
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Compiler

Compiled 314 to 145 computations (53.8% saved)

regimes14.0ms (0.5%)

Memory
21.9MiB live, 21.9MiB allocated
Counts
16 → 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))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) 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 #s(approx (/ -1 (sqrt x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (/.f64 (sqrt.f64 x) 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 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(pow.f64 x #s(literal -2 binary64))
Outputs
(pow.f64 x #s(literal -2 binary64))
Calls

3 calls:

5.0ms
x
5.0ms
(/.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms
(*.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)

regimes25.0ms (0.8%)

Memory
-9.6MiB live, 26.3MiB allocated
Counts
15 → 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))
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 x (*.f64 x x)) 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 #s(approx (/ -1 (sqrt x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(approx (/ -1 (sqrt x)) (neg.f64 (/.f64 (sqrt.f64 x) 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 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
Outputs
#s(approx (* (/ -1 (sqrt x)) (/ (/ -1 x) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
Calls

3 calls:

16.0ms
(*.f64 x x)
5.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) (*.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)

regimes4.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB 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
99.2%1x
99.2%1(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.2%1(*.f64 x x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify58.0ms (1.8%)

Memory
-32.7MiB live, 51.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
11825
Stop Event
1×saturated
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))
(/.f64 #s(literal 1 binary64) (*.f64 x x))

soundness494.0ms (15.6%)

Memory
16.4MiB live, 173.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048
068
1206
2726
32606
010926
02745
15645
213245
328845
472245
5129145
6169945
7221945
8247345
9254745
10257345
11262145
12272545
13272545
14272545
15272545
0272545
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 54 to 35 computations (35.2% saved)

preprocess28.0ms (0.9%)

Memory
25.1MiB live, 61.4MiB allocated
Remove

(abs x)

Compiler

Compiled 82 to 58 computations (29.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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