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

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
2.8MiB live, 2.8MiB 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)

sample624.0ms (12.4%)

Memory
2.7MiB live, 694.9MiB allocated
Samples
449.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-div: 138.0ms (62.6% of total)
ival-mult: 68.0ms (30.9% of total)
ival-true: 6.0ms (2.7% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 4.0ms (1.8% of total)
Bogosity

explain55.0ms (1.1%)

Memory
-16.2MiB live, 59.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
32(1.33145336412811e+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/o50
(*.f64 x x)overflow62
Confusion
Predicted +Predicted -
+30
-2251
Precision
0.6
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-20251
Precision?
0.6
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (49.3% of total)
ival-div: 3.0ms (37% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.3%)

Memory
14.7MiB live, 14.7MiB allocated
Algorithm
egg-herbie
Rules
15×associate-/r*
13×unsub-neg
13×div-sub
12×distribute-lft-neg-in
10×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)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB 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

localize17.0ms (0.3%)

Memory
-14.6MiB live, 22.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.4264418816894384
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Samples
12.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (61.8% of total)
ival-mult: 2.0ms (41.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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)

simplify3.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB 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)

rewrite63.0ms (1.2%)

Memory
1.1MiB live, 43.4MiB allocated
Rules
548×unpow-prod-down
217×associate-*r/
213×lower-*.f32
212×lower-*.f64
206×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048
0610
1206
2726
32606
410926
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 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.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 (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) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) 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) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.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 #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)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/2 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 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.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) (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 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.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)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.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 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.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 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 0 binary64))))
(/.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x) x))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.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 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) (/.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 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))

eval17.0ms (0.3%)

Memory
-9.1MiB live, 28.2MiB allocated
Compiler

Compiled 1 308 to 259 computations (80.2% saved)

prune21.0ms (0.4%)

Memory
5.3MiB live, 42.7MiB 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))
99.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
28.7%
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
Compiler

Compiled 120 to 72 computations (40% saved)

simplify90.0ms (1.8%)

Memory
-9.3MiB live, 107.0MiB 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 (*.f64 (*.f64 x x) x) x)
cost-diff0
(neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
cost-diff128
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))
cost-diff1280
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) 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
1 588×lower-*.f32
1 582×lower-*.f64
851×lower-fma.f64
851×lower-fma.f32
724×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019110
03489
16180
212974
358674
4345874
5523274
6684174
0805374
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 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(literal -1 binary64)
(neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x 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 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(literal -1 binary64)
(neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x 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))
(*.f64 (sqrt.f64 x) 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 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)

localize60.0ms (1.2%)

Memory
29.2MiB live, 103.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(sqrt.f64 x)
accuracy0.15234375
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.23828125
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
accuracy0
(sqrt.f64 x)
accuracy0.1796875
(*.f64 x (sqrt.f64 x))
accuracy0.209316259768442
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.4264418816894384
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
accuracy0.0703125
(*.f64 (*.f64 x x) x)
accuracy0.078125
(*.f64 (*.f64 (*.f64 x x) x) x)
accuracy0.48133844394945896
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))
accuracy41.494952147758
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.12109375
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy0
(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: 26.0ms
ival-div: 9.0ms (34.2% of total)
ival-mult: 8.0ms (30.4% of total)
ival-pow: 6.0ms (22.8% of total)
ival-sqrt: 2.0ms (7.6% of total)
ival-neg: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-13.4MiB live, 27.2MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x x) x) x) (patch (*.f64 (*.f64 (*.f64 x x) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
Calls

42 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
(/ (/ 1 x) (sqrt x))
1.0ms
x
@-inf
(* (* x (sqrt x)) (sqrt x))
1.0ms
x
@-inf
(* x (sqrt x))
1.0ms
x
@-inf
(/ 1 (* (* x (sqrt x)) (sqrt x)))
0.0ms
x
@0
(/ -1 (neg (* (* (* x x) x) x)))

simplify108.0ms (2.1%)

Memory
2.3MiB live, 72.4MiB allocated
Algorithm
egg-herbie
Rules
370×lower-*.f64
370×lower-fma.f64
370×lower-fma.f32
370×lower-*.f32
278×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 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x 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 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)

rewrite115.0ms (2.3%)

Memory
-6.1MiB live, 165.1MiB allocated
Rules
693×lower-fma.f64
693×lower-fma.f32
628×lower-*.f32
622×lower-*.f64
551×div-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01992
03460
110645
246943
3361841
0878041
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 173
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 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 x x) 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 (*.f64 x x) x)
Outputs
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 x x) x)) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) x)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (neg.f64 (sqrt.f64 x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.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)) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (sqrt.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 x x) x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) 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) (*.f64 (*.f64 x x) x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal -8 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) 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) x) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) 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) x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (sqrt.f64 x))) (/.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)) (/.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.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 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 x x)))
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (*.f64 (*.f64 x x) x))
(neg.f64 (/.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)))
(-.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) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (-.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 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) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (-.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sqrt.f64 x) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal -6 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -3/8 binary64))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (sqrt.f64 x) x))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 (sqrt.f64 x) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x))
(/.f64 (sqrt.f64 x) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(exp.f64 (-.f64 (*.f64 #s(literal 3/2 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 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -3/4 binary64)))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) x) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) x) (sqrt.f64 x))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) x) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (*.f64 x x) x) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 12 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (pow.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) x) (/.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x)
(/.f64 (*.f64 (*.f64 x x) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 x x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x))
(exp.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) (*.f64 #s(literal -3/2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (log.f64 x)))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x))

eval260.0ms (5.2%)

Memory
15.9MiB live, 317.2MiB allocated
Compiler

Compiled 20 159 to 2 425 computations (88% saved)

prune439.0ms (8.7%)

Memory
19.3MiB live, 183.1MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1 56981 577
Fresh101
Picked325
Done011
Total1 573111 584
Accuracy
100.0%
Counts
1 584 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
99.5%
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
28.9%
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
93.4%
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
88.0%
(/.f64 x (*.f64 (*.f64 x x) x))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
Compiler

Compiled 198 to 102 computations (48.5% saved)

simplify384.0ms (7.6%)

Memory
-11.8MiB live, 79.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 (sqrt.f64 x) x)
cost-diff384
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
cost-diff2304
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
cost-diff1984
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 (*.f64 (*.f64 x x) x) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
cost-diff1280
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) x)
cost-diff320
(/.f64 x (*.f64 (*.f64 x x) x))
cost-diff0
(*.f64 (sqrt.f64 x) x)
cost-diff0
(sqrt.f64 x)
cost-diff384
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
cost-diff1600
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
Rules
3 132×lower-*.f32
3 126×lower-*.f64
1 069×lower-/.f32
1 062×lower-/.f64
981×fabs-mul
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
032122
16186
211482
331482
4100982
5212382
6322482
7560982
8675282
9722882
10730082
11730882
12731082
0834082
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) x)
(/.f64 x (*.f64 (*.f64 x x) x))
x
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
Outputs
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) x)
(/.f64 x (*.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
x
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 x) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x

localize430.0ms (8.5%)

Memory
-18.6MiB live, 55.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.12109375
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
accuracy0.2890625
(/.f64 (sqrt.f64 x) x)
accuracy0.4739837890737681
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x))
accuracy0
(sqrt.f64 x)
accuracy0.15234375
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
accuracy0.1796875
(*.f64 (sqrt.f64 x) x)
accuracy0.38519929686845295
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
accuracy0.0703125
(*.f64 (*.f64 x x) x)
accuracy0.078125
(*.f64 (*.f64 (*.f64 x x) x) x)
accuracy0.48133844394945896
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
accuracy41.494952147758
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
accuracy0
(*.f64 x x)
accuracy0.0703125
(*.f64 (*.f64 x x) x)
accuracy7.667959543975678
(/.f64 x (*.f64 (*.f64 x x) x))
accuracy0
(sqrt.f64 x)
accuracy0.12109375
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
accuracy0.1796875
(*.f64 (sqrt.f64 x) x)
accuracy16.892461817090286
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
Samples
231.0ms256×0valid
Compiler

Compiled 130 to 19 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-sqrt: 200.0ms (90.9% of total)
ival-div: 11.0ms (5% of total)
ival-mult: 9.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x x) x) x) (patch (*.f64 (*.f64 (*.f64 x x) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) (patch (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 x x) x)) (patch (/.f64 x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) (patch (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) x) (patch (/.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
Calls

45 calls:

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

simplify184.0ms (3.6%)

Memory
2.3MiB live, 82.6MiB allocated
Algorithm
egg-herbie
Rules
448×lower-*.f64
448×lower-fma.f64
448×lower-fma.f32
448×lower-*.f32
404×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031732
162732
2167732
3327732
4633732
5890732
62018732
73112732
83565732
93603732
103658732
113730732
124361732
134537732
144537732
154537732
164537732
174537732
184537732
04537732
Stop Event
iter limit
saturated
Counts
180 → 180
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))
(/ 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)
(/ 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)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) 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 (sqrt -1) 2) (pow x 2)))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (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 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x 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 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x 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))
(/ 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)))
(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) (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 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 (/ (pow (sqrt -1) 2) x))
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (pow (sqrt -1) 2) x))
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (pow (sqrt -1) 2) x))
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (pow (sqrt -1) 2) 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 (sqrt -1) 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (/ (pow (sqrt -1) 2) (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))

rewrite140.0ms (2.8%)

Memory
17.3MiB live, 169.6MiB allocated
Rules
681×lower-*.f32
675×lower-*.f64
513×frac-2neg
494×lower-/.f32
487×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017105
032105
111545
263145
3314745
03293
111559
263144
0314744
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
15 → 1 215
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) x)
(/.f64 x (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
(/.f64 (sqrt.f64 x) x)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))) (exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (*.f64 (*.f64 x x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 x x) x)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))
(/.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (neg.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) 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 (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 x (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(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 (*.f64 (*.f64 x x) x) x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 x) x))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) 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 (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 x (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(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 (*.f64 (*.f64 x x) x) x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (*.f64 x x) x) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 (sqrt.f64 x)) x)))
(/.f64 (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (*.f64 (*.f64 x x) x))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(neg.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x)))
(neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.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)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 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 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) x)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(/.f64 x (*.f64 (sqrt.f64 x) x))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))

eval247.0ms (4.9%)

Memory
-12.7MiB live, 468.8MiB allocated
Compiler

Compiled 25 377 to 2 567 computations (89.9% saved)

prune373.0ms (7.4%)

Memory
28.2MiB live, 422.6MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New1 96711 968
Fresh033
Picked055
Done033
Total1 967121 979
Accuracy
100.0%
Counts
1 979 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
99.5%
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
28.9%
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
93.4%
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
88.0%
(/.f64 x (*.f64 (*.f64 x x) x))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
87.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x)
Compiler

Compiled 120 to 64 computations (46.7% saved)

simplify116.0ms (2.3%)

Memory
-30.5MiB live, 108.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 (*.f64 (*.f64 x x) x) x)
cost-diff0
(*.f64 x x)
cost-diff960
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
cost-diff0
(*.f64 (sqrt.f64 x) x)
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) x) x)
cost-diff0
(sqrt.f64 x)
cost-diff1600
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
cost-diff0
(*.f64 x (sqrt.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))))
cost-diff704
(/.f64 x (sqrt.f64 x))
cost-diff1600
(*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
cost-diff640
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x)
Rules
2 436×lower-*.f32
2 428×lower-*.f64
1 323×cube-prod
1 319×lower-/.f32
1 314×lower-/.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
016107
03095
16171
212269
327069
4113269
5269169
6403367
7444867
8509667
9546667
10590167
11635667
0804967
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
#s(literal 1 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))))
#s(literal 1 binary64)
(*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(/.f64 x (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(sqrt.f64 x)
x
(*.f64 (*.f64 (sqrt.f64 x) x) x)
(*.f64 (sqrt.f64 x) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 x x)
x
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
#s(literal 1 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 x x)
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
x
(sqrt.f64 x)
(/.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 x)
x
(*.f64 (*.f64 (sqrt.f64 x) x) x)
(*.f64 (sqrt.f64 x) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)

localize56.0ms (1.1%)

Memory
4.9MiB live, 79.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.0703125
(*.f64 (*.f64 x x) x)
accuracy0.078125
(*.f64 (*.f64 (*.f64 x x) x) x)
accuracy42.06047074782712
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
accuracy0
(sqrt.f64 x)
accuracy0.125
(*.f64 (*.f64 (sqrt.f64 x) x) x)
accuracy0.1796875
(*.f64 (sqrt.f64 x) x)
accuracy4.2548219917806085
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
accuracy0.1796875
(*.f64 x (sqrt.f64 x))
accuracy0.209316259768442
(*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
accuracy0.4264418816894384
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))))
accuracy0.51171875
(/.f64 x (sqrt.f64 x))
accuracy0
(*.f64 x x)
accuracy0.0703125
(*.f64 (*.f64 x x) x)
accuracy0.20800543290305876
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
accuracy8.06668446254202
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x)
Samples
38.0ms256×0valid
Compiler

Compiled 109 to 18 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 15.0ms (61.2% of total)
ival-div: 7.0ms (28.6% of total)
ival-sqrt: 2.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (patch (/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 x) x) x) (patch (*.f64 (*.f64 (sqrt.f64 x) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) x) (patch (*.f64 (sqrt.f64 x) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x x) x) x) (patch (*.f64 (*.f64 (*.f64 x x) x) x) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (patch (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
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Calls

42 calls:

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

simplify32.0ms (0.6%)

Memory
-25.9MiB live, 18.3MiB allocated
Algorithm
egg-herbie
Rules
107×lower-*.f64
107×lower-*.f32
104×lower-fma.f64
104×lower-fma.f32
88×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024636
145636
2106636
3187636
4416636
5556636
6650636
7677636
8679636
9679636
0679636
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 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 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)
(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 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)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt 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 (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))
(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 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)))
(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 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 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x 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 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)
(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)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(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))
(/.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 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x 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))
(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 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)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 x 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))

rewrite258.0ms (5.1%)

Memory
2.8MiB live, 191.7MiB allocated
Rules
997×lower-*.f32
989×lower-*.f64
931×lower-/.f32
926×lower-/.f64
854×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691
03069
110044
246440
3274940
0836540
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 755
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))))
(*.f64 x (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(sqrt.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) x) x)
(*.f64 (sqrt.f64 x) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 x x) x) x)
Outputs
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -9/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(*.f64 (pow.f64 x #s(literal -7/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -7/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -9/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) x)))
(*.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
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(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(exp.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64)))))
(exp.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64))) (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64)))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 x x) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal -3 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))

eval389.0ms (7.7%)

Memory
62.2MiB live, 550.4MiB allocated
Compiler

Compiled 45 245 to 4 581 computations (89.9% saved)

prune361.0ms (7.1%)

Memory
1.7MiB live, 565.0MiB allocated
Pruning

13 alts after pruning (1 fresh and 12 done)

PrunedKeptTotal
New2 69712 698
Fresh000
Picked044
Done088
Total2 697132 710
Accuracy
100.0%
Counts
2 710 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
99.5%
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
28.9%
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
93.4%
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
88.0%
(/.f64 x (*.f64 (*.f64 x x) x))
88.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
87.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x)
Compiler

Compiled 289 to 114 computations (60.6% saved)

regimes17.0ms (0.3%)

Memory
-0.8MiB live, 35.0MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 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)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
(pow.f64 x #s(literal -2 binary64))
Outputs
(pow.f64 x #s(literal -2 binary64))
Calls

3 calls:

7.0ms
(*.f64 x x)
5.0ms
x
5.0ms
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 1 binary64) (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes16.0ms (0.3%)

Memory
1.0MiB live, 37.7MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 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)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)) x)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
Calls

3 calls:

6.0ms
(*.f64 x x)
5.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.8%1(*.f64 x x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

Memory
-23.4MiB live, 14.4MiB allocated
Accuracy

Total -7.3b remaining (-1710%)

Threshold costs -7.3b (-1710%)

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

3 calls:

3.0ms
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms
x
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(/.f64 #s(literal 1 binary64) (*.f64 x x))
99.3%1(*.f64 x x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB 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 (1.4%)

Memory
-16.5MiB live, 66.1MiB allocated
Rules
548×unpow-prod-down
217×associate-*r/
213×lower-*.f32
212×lower-*.f64
206×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048
0610
1206
2726
32606
410926
068
1206
2726
32606
010926
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 34 to 20 computations (41.2% saved)

preprocess32.0ms (0.6%)

Memory
18.6MiB live, 92.7MiB 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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