Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C

Time bar (total: 1.9s)

analyze113.0ms (6.1%)

Memory
-17.8MiB live, 21.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 7 to 7 computations (0% saved)

sample1.0s (56.5%)

Memory
37.5MiB live, 1 017.2MiB allocated
Samples
707.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-div: 64.0ms (46.7% of total)
ival-mult: 58.0ms (42.3% of total)
ival-true: 7.0ms (5.1% of total)
exact: 5.0ms (3.6% of total)
ival-assert: 4.0ms (2.9% of total)
Bogosity

preprocess71.0ms (3.9%)

Memory
-11.7MiB live, 31.0MiB allocated
Algorithm
1×egg-herbie
Rules
514×times-frac
314×associate-*l*
304×associate-*r*
244×associate-/r*
154×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
14025
210325
332825
497425
5158825
6181425
7184925
8188725
9191925
055
075
1105
2125
0125
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Symmetry

(negabs y)

(negabs x)

explain75.0ms (4%)

Memory
5.3MiB live, 80.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 x (*.f64 y #s(literal 2 binary64)))
00-0-y
00-0-#s(literal 2 binary64)
00-0-x
00-0-(*.f64 y #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (*.f64 y #s(literal 2 binary64)))n/o10
↳(*.f64 y #s(literal 2 binary64))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
20.0ms512×0valid
Compiler

Compiled 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48% of total)
ival-mult: 4.0ms (48% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Rules
10×lower-/.f32
8×lower-/.f64
4×lower-*.f32
4×associate-/r*
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11011
21211
01211
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
Outputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)

localize18.0ms (1%)

Memory
-5.2MiB live, 32.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Samples
13.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (57.5% of total)
ival-mult: 2.0ms (28.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.3%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/.f64 x (*.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 y #s(literal 2 binary64))>
Outputs
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(* y 2)
1.0ms
y
@0
(/ x (* y 2))
1.0ms
x
@inf
(/ x (* y 2))
1.0ms
x
@0
(/ x (* y 2))
1.0ms
y
@inf
(/ x (* y 2))

rewrite114.0ms (6.2%)

Memory
-27.0MiB live, 185.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 060×lower-*.f32
1 058×lower-*.f64
898×lower-/.f32
896×lower-/.f64
210×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1188
2798
33898
023038
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
2 → 155
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -1/2 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (neg.f64 x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x y))) (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x (neg.f64 y)))) (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) y)) x)
(/.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))))) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -2 binary64) #s(literal 0 binary64))
(neg.f64 (*.f64 y #s(literal -2 binary64)))
(/.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))))) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))))) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -2 binary64))

simplify6.0ms (0.3%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
1×egg-herbie
Rules
16×lower-*.f64
16×lower-*.f32
8×*-commutative
6×lower-/.f32
6×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07156
111156
213156
315156
416156
016156
Stop Event
1×iter limit
1×saturated
Counts
36 → 36
Calls
Call 1
Inputs
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))

eval20.0ms (1.1%)

Memory
-2.1MiB live, 35.6MiB allocated
Compiler

Compiled 1 755 to 363 computations (79.3% saved)

prune22.0ms (1.2%)

Memory
2.4MiB live, 40.2MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1901191
Fresh000
Picked101
Done000
Total1911192
Accuracy
100.0%
Counts
192 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.3%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Rules
12×lower-*.f32
10×lower-*.f64
6×*-commutative
6×lower-/.f32
4×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11011
21311
31411
01411
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
Outputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y

localize18.0ms (1%)

Memory
-3.6MiB live, 34.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
Samples
13.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 5.0ms (65.9% of total)
ival-mult: 2.0ms (26.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.2%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
Outputs
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ (* x 1/2) y)
0.0ms
x
@-inf
(/ (* x 1/2) y)
0.0ms
x
@inf
(/ (* x 1/2) y)
0.0ms
x
@inf
(* x 1/2)
0.0ms
y
@inf
(/ (* x 1/2) y)

rewrite85.0ms (4.6%)

Memory
-11.1MiB live, 109.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
990×lower-*.f32
988×lower-*.f64
778×lower-/.f32
776×lower-/.f64
180×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1188
2728
33488
020888
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
2 → 124
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 y y))) y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/2 binary64))

simplify6.0ms (0.3%)

Memory
7.7MiB live, 7.8MiB allocated
Algorithm
1×egg-herbie
Rules
12×lower-*.f64
12×lower-*.f32
6×*-commutative
6×lower-/.f32
6×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06156
19156
211156
312156
012156
Stop Event
1×iter limit
1×saturated
Counts
36 → 36
Calls
Call 1
Inputs
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)

eval31.0ms (1.7%)

Memory
-8.8MiB live, 29.0MiB allocated
Compiler

Compiled 1 437 to 277 computations (80.7% saved)

prune14.0ms (0.8%)

Memory
25.0MiB live, 25.0MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1600160
Fresh000
Picked011
Done000
Total1601161
Accuracy
100.0%
Counts
161 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes53.0ms (2.9%)

Memory
-29.9MiB live, 13.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Outputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Calls

4 calls:

48.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
1.0ms
(*.f64 y #s(literal 2 binary64))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
100.0%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.3%)

Memory
9.4MiB live, 9.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
x
1.0ms
(*.f64 y #s(literal 2 binary64))
1.0ms
y
1.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
99.6%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.4%)

Memory
13.3MiB live, 13.3MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11010
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 x (*.f64 y #s(literal 2 binary64)))

soundness79.0ms (4.3%)

Memory
-22.0MiB live, 54.3MiB allocated
Rules
1 060×lower-*.f32
1 058×lower-*.f64
898×lower-/.f32
896×lower-/.f64
210×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1188
2798
33898
023038
Stop Event
1×done
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess51.0ms (2.8%)

Memory
-13.3MiB live, 92.2MiB allocated
Remove

(negabs x)

(negabs y)

Compiler

Compiled 94 to 66 computations (29.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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