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

Time bar (total: 4.5s)

analyze1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample444.0ms (9.8%)

Memory
13.6MiB live, 799.6MiB allocated
Samples
266.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-mult: 67.0ms (49.5% of total)
ival-div: 54.0ms (39.9% of total)
ival-true: 6.0ms (4.4% of total)
exact: 5.0ms (3.7% of total)
ival-assert: 4.0ms (3% of total)
Bogosity

preprocess16.0ms (0.4%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Rules
30×associate-/r*
26×unsub-neg
26×div-sub
24×distribute-lft-neg-in
20×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
12410
26710
313510
418510
522310
623510
045
065
1105
0105
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Symmetry

(abs x)

explain52.0ms (1.1%)

Memory
-17.4MiB live, 61.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
31(2.9414802173680515e+161)0-(/.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 #s(literal 1 binary64) (*.f64 x x))n/o40
(*.f64 x x)overflow80
Confusion
Predicted +Predicted -
+30
-1252
Precision
0.75
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-10252
Precision?
0.75
Recall?
1.0
Freqs
test
numberfreq
0252
14
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
18.0ms512×0valid
Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45% of total)
ival-div: 3.0ms (33.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Rules
lower-/.f32
lower-/.f64
lift-/.f64
1-exp
lift-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize14.0ms (0.3%)

Memory
18.3MiB live, 18.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Samples
9.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (50.4% of total)
ival-mult: 2.0ms (50.4% 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
1.3MiB live, 1.3MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
Outputs
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

6 calls:

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

rewrite81.0ms (1.8%)

Memory
2.1MiB live, 74.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
426×lower-*.f32
424×lower-*.f64
306×lower-/.f32
304×lower-/.f64
242×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048
068
1206
2726
32606
010926
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
2 → 110
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x 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 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 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 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) 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 #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) x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.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 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) #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 (/.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 (/.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) (/.f64 #s(literal 1 binary64) x)) (/.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) (/.f64 #s(literal -1 binary64) x)) #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 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x)))
(/.f64 (exp.f64 (log.f64 (*.f64 x (neg.f64 x)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(*.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.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 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1 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 -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))

simplify4.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
egg-herbie
Rules
lower-/.f32
lower-/.f64
lower-*.f64
lower-pow.f64
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0596
1896
21096
01096
Stop Event
iter limit
saturated
Counts
24 → 24
Calls
Call 1
Inputs
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval23.0ms (0.5%)

Memory
-26.4MiB live, 23.2MiB allocated
Compiler

Compiled 1 284 to 259 computations (79.8% saved)

prune17.0ms (0.4%)

Memory
-7.2MiB live, 30.5MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1286134
Fresh000
Picked011
Done000
Total1287135
Accuracy
100.0%
Counts
135 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 x #s(literal -2 binary64))
99.5%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
23.4%
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
Compiler

Compiled 120 to 72 computations (40% saved)

simplify128.0ms (2.8%)

Memory
20.8MiB live, 137.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
cost-diff1984
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.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 x (*.f64 x (*.f64 x x)))
cost-diff0
(neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff128
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
cost-diff1280
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff0
(pow.f64 x #s(literal -2 binary64))
Rules
3 474×lower-*.f32
3 462×lower-*.f64
1 666×lower-fma.f64
1 666×lower-fma.f32
1 594×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019110
03481
16374
213174
359274
4304674
5626574
6792274
0857174
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.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) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
#s(literal -1 binary64)
(neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x 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 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
Outputs
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal -1 binary64)
(neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x 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))
x
(sqrt.f64 x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)

localize67.0ms (1.5%)

Memory
5.2MiB live, 79.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(*.f64 x (sqrt.f64 x))
accuracy99.7%
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
accuracy28.5%
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy100.0%
(pow.f64 x #s(literal -2 binary64))
Samples
40.0ms256×0valid
Compiler

Compiled 112 to 21 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 13.0ms (46.4% of total)
ival-mult: 8.0ms (28.5% of total)
ival-pow: 3.0ms (10.7% of total)
ival-sqrt: 2.0ms (7.1% of total)
ival-neg: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (pow.f64 x #s(literal -2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))>
#<alt (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))>
#<alt (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))>
#<alt (*.f64 x (*.f64 x (*.f64 x x)))>
#<alt (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))>
#<alt (*.f64 x (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))>
#<alt (*.f64 x (*.f64 x x))>
Outputs
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (* -1 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

42 calls:

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

rewrite401.0ms (8.9%)

Memory
-169.4MiB live, 208.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 446×lower-fma.f64
1 446×lower-fma.f32
1 278×lower-*.f32
1 266×lower-*.f64
1 104×div-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01992
03460
110645
246943
3364741
0877641
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 175
Calls
Call 1
Inputs
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x 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))
(sqrt.f64 x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 x (*.f64 x x))
Outputs
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (*.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 x))) (*.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 12 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))

simplify187.0ms (4.1%)

Memory
8.4MiB live, 124.1MiB allocated
Algorithm
egg-herbie
Rules
740×lower-*.f64
740×lower-fma.f64
740×lower-fma.f32
740×lower-*.f32
556×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026696
151696
2128696
3290696
4733696
51252696
61664696
72222696
82480696
92554696
102580696
112628696
122757696
132757696
142757696
152757696
02757696
Stop Event
iter limit
saturated
Counts
168 → 168
Calls
Call 1
Inputs
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))

eval221.0ms (4.9%)

Memory
5.4MiB live, 330.2MiB allocated
Compiler

Compiled 19 779 to 2 296 computations (88.4% saved)

prune114.0ms (2.5%)

Memory
1.6MiB live, 238.9MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1 55771 564
Fresh101
Picked325
Done011
Total1 561101 571
Accuracy
100.0%
Counts
1 571 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
23.7%
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
92.2%
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
84.2%
(/.f64 x (*.f64 x (*.f64 x x)))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
84.1%
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x))) (sqrt.f64 x))
23.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
Compiler

Compiled 174 to 90 computations (48.3% saved)

simplify244.0ms (5.4%)

Memory
-21.0MiB live, 265.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (sqrt.f64 x))
cost-diff0
(*.f64 x (*.f64 x (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff1600
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff1280
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff960
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff320
(/.f64 x (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 x (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff384
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
cost-diff1600
(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))
Rules
7 288×lower-*.f32
7 276×lower-*.f64
3 352×cube-prod
3 018×lower-/.f32
3 006×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015127
028111
155105
211681
334081
479081
5205281
6355881
7475681
8516381
9571181
10653381
11707781
0873081
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))
(sqrt.f64 x)
x
(*.f64 x (sqrt.f64 x))
(/.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x x)
x
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal 1 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
(sqrt.f64 x)
x
(*.f64 x (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
Outputs
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
x
(*.f64 x (sqrt.f64 x))
(/.f64 x (*.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal 1 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 x)
x
(*.f64 x (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))

localize111.0ms (2.5%)

Memory
24.8MiB live, 101.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy99.9%
(*.f64 x (*.f64 x (sqrt.f64 x)))
accuracy99.7%
(*.f64 x (sqrt.f64 x))
accuracy92.2%
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
accuracy28.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy28.5%
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy84.3%
(/.f64 x (*.f64 x (*.f64 x x)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
accuracy99.7%
(*.f64 x (sqrt.f64 x))
accuracy66.6%
(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))
Samples
87.0ms256×0valid
Compiler

Compiled 129 to 17 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 10.0ms (47.2% of total)
ival-mult: 9.0ms (42.5% of total)
ival-sqrt: 2.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))>
#<alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (sqrt.f64 x))>
#<alt (/.f64 x (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))>
#<alt (*.f64 x (*.f64 x (*.f64 x x)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))>
#<alt (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))>
#<alt (*.f64 x (*.f64 x (sqrt.f64 x)))>
Outputs
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (sqrt (pow x 5))>
#<alt (sqrt (pow x 5))>
#<alt (sqrt (pow x 5))>
#<alt (sqrt (pow x 5))>
#<alt (sqrt (pow x 5))>
#<alt (sqrt (pow x 5))>
#<alt (sqrt (pow x 5))>
#<alt (sqrt (pow x 5))>
#<alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))>
Calls

39 calls:

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

rewrite352.0ms (7.8%)

Memory
-8.9MiB live, 391.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 682×lower-*.f32
2 670×lower-*.f64
2 166×lower-/.f32
2 154×lower-/.f64
1 706×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01592
02882
19658
247338
3283138
0845038
Stop Event
iter limit
node limit
iter limit
Counts
13 → 2 277
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
(sqrt.f64 x)
(*.f64 x (sqrt.f64 x))
(/.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 x (*.f64 x (sqrt.f64 x)))
Outputs
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/4 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -4 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -4 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (log.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal -3 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (*.f64 #s(literal -4 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -4 binary64) (log.f64 x))) (log.f64 x)))
(exp.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))) (log.f64 x)))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal -4 binary64) (log.f64 x) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (*.f64 #s(literal 4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -4 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal -4 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
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(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 x (*.f64 x (neg.f64 x))) (/.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 x (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (pow.f64 x #s(literal -7/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -7/4 binary64)))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal -9/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(exp.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -4 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (fma.f64 #s(literal -4 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (*.f64 #s(literal 3/2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x (sqrt.f64 x)))))
(neg.f64 (neg.f64 (*.f64 x (*.f64 x (sqrt.f64 x)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))))
(/.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x))) x)
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (neg.f64 x)))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (sqrt.f64 x)) (*.f64 x (neg.f64 x)))
(pow.f64 x #s(literal 5/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/4 binary64))
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 x x))
(*.f64 (*.f64 x (sqrt.f64 x)) x)
(*.f64 (*.f64 x x) (sqrt.f64 x))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (sqrt.f64 x)))))
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))

simplify51.0ms (1.1%)

Memory
-15.7MiB live, 98.4MiB allocated
Algorithm
egg-herbie
Rules
214×lower-*.f64
214×lower-*.f32
208×lower-fma.f64
208×lower-fma.f32
178×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025624
146624
2104624
3185624
4414624
5554624
6647624
7674624
8676624
9676624
0676624
Stop Event
iter limit
saturated
Counts
156 → 156
Calls
Call 1
Inputs
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))

eval528.0ms (11.7%)

Memory
89.7MiB live, 828.4MiB allocated
Compiler

Compiled 74 138 to 5 663 computations (92.4% saved)

prune490.0ms (10.9%)

Memory
-38.4MiB live, 759.6MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3 95823 960
Fresh202
Picked145
Done033
Total3 96193 970
Accuracy
100.0%
Counts
3 970 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
23.8%
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
92.2%
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
84.2%
(/.f64 x (*.f64 x (*.f64 x x)))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
23.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
99.4%
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))
Compiler

Compiled 87 to 46 computations (47.1% saved)

simplify379.0ms (8.4%)

Memory
10.7MiB live, 250.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff960
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff448
(/.f64 (neg.f64 x) (*.f64 x x))
cost-diff704
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))
Rules
3 970×lower-*.f32
3 964×lower-*.f64
2 968×lower-fma.f64
2 968×lower-fma.f32
1 528×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0948
01644
13740
210530
323630
443030
5148030
6267530
7511030
8622630
9659630
10680830
11704630
12798830
0800430
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 (neg.f64 x) (*.f64 x x))
(neg.f64 x)
(*.f64 x x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 x x)
x
(*.f64 (*.f64 x x) (*.f64 x x))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 (neg.f64 x) (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))

localize34.0ms (0.7%)

Memory
0.3MiB live, 78.2MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy28.5%
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(neg.f64 x)
accuracy99.6%
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))
accuracy51.1%
(/.f64 (neg.f64 x) (*.f64 x x))
Samples
22.0ms256×0valid
Compiler

Compiled 50 to 11 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 6.0ms (48.3% of total)
ival-mult: 4.0ms (32.2% of total)
ival-neg: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))>
#<alt (/.f64 (neg.f64 x) (*.f64 x x))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (neg.f64 x)>
#<alt (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))>
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 x x) (*.f64 x x))>
Outputs
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
Calls

21 calls:

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

rewrite164.0ms (3.6%)

Memory
-26.8MiB live, 171.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 334×frac-times
602×lower-*.f32
596×lower-*.f64
540×lower-/.f32
534×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0942
01642
16220
240020
0271320
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
7 → 405
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 x) (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 x x))
Outputs
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x x))))
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 x (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (neg.f64 x) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (neg.f64 x))))
(/.f64 x (*.f64 x (neg.f64 x)))
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (*.f64 x x))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) x))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (neg.f64 x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
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(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) x #s(literal 0 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x x)) x)
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x x)) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))
(neg.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (neg.f64 x) (*.f64 x (*.f64 x (neg.f64 x))))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (neg.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))

simplify11.0ms (0.2%)

Memory
24.7MiB live, 24.7MiB allocated
Algorithm
egg-herbie
Rules
12×lower-+.f64
12×lower-+.f32
lower-/.f32
lower-/.f64
lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010288
115288
218288
319288
421288
523288
627288
736288
839288
039288
Stop Event
iter limit
saturated
Counts
84 → 84
Calls
Call 1
Inputs
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))

eval82.0ms (1.8%)

Memory
-18.8MiB live, 173.1MiB allocated
Compiler

Compiled 12 612 to 1 257 computations (90% saved)

prune84.0ms (1.9%)

Memory
13.9MiB live, 184.1MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New8040804
Fresh000
Picked022
Done077
Total8049813
Accuracy
100.0%
Counts
813 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
23.8%
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
92.2%
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
84.2%
(/.f64 x (*.f64 x (*.f64 x x)))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
23.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
99.4%
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))
Compiler

Compiled 234 to 86 computations (63.2% saved)

regimes39.0ms (0.9%)

Memory
-17.2MiB live, 22.2MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x))) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal -2 binary64))
Outputs
(pow.f64 x #s(literal -2 binary64))
Calls

3 calls:

29.0ms
(/.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms
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 12 to 7 computations (41.7% saved)

regimes38.0ms (0.8%)

Memory
-8.8MiB live, 30.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x))) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
Calls

3 calls:

28.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.8%1(*.f64 x x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Accuracy

Total -9.8b remaining (-3252.2%)

Threshold costs -9.8b (-3252.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (*.f64 x (*.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
99.5%1x
99.5%1(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.5%1(*.f64 x x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Algorithm
egg-herbie
Rules
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Outputs
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))

soundness72.0ms (1.6%)

Memory
-22.4MiB live, 54.1MiB allocated
Rules
426×lower-*.f32
424×lower-*.f64
306×lower-/.f32
304×lower-/.f64
242×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048
068
1206
2726
32606
010926
Stop Event
done
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 24 to 15 computations (37.5% saved)

preprocess38.0ms (0.8%)

Memory
11.3MiB live, 86.7MiB allocated
Remove

(abs x)

Compiler

Compiled 68 to 44 computations (35.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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