Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, A

Time bar (total: 4.0s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample548.0ms (13.5%)

Memory
14.9MiB live, 836.3MiB allocated
Samples
345.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-mult: 103.0ms (67.7% of total)
ival-add: 37.0ms (24.3% of total)
ival-true: 5.0ms (3.3% of total)
exact: 4.0ms (2.6% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

preprocess28.0ms (0.7%)

Memory
-11.1MiB live, 34.0MiB allocated
Algorithm
egg-herbie
Rules
20×sub-neg
16×distribute-lft-neg-in
16×neg-mul-1
14×associate--r+
14×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
12210
25410
39810
413210
514610
614810
045
065
195
094
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Outputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
Symmetry

(abs x)

explain71.0ms (1.8%)

Memory
30.1MiB live, 105.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
18.0ms512×0valid
Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (57.9% of total)
ival-add: 2.0ms (28.9% 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 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.1%)

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

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Rules
lower-+.f32
lift-+.f64
lower-fma.f64
lower-+.f64
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
1910
099
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
Outputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)

localize14.0ms (0.4%)

Memory
-8.5MiB live, 30.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x x)
Samples
10.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (63.1% of total)
ival-add: 1.0ms (21% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x x) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

6 calls:

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

rewrite611.0ms (15.1%)

Memory
-162.8MiB live, 781.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 846×lower-fma.f64
11 846×lower-fma.f32
3 746×lower-/.f64
3 746×lower-/.f32
3 638×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1248
21458
311728
085857
Stop Event
iter limit
node limit
iter limit
Counts
2 → 261
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
Outputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (fma.f64 x (*.f64 x x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (*.f64 x x) x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (*.f64 x x) x))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (fma.f64 x (*.f64 x x) x))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (fma.f64 x (*.f64 x x) x))) (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
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(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))

simplify627.0ms (15.5%)

Memory
32.4MiB live, 927.7MiB allocated
Algorithm
egg-herbie
Rules
18 422×lower-fma.f64
18 422×lower-fma.f32
9 228×lower-*.f64
9 228×lower-*.f32
2 982×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0888
12088
23588
35688
48888
510288
613188
722488
858588
9159488
10314188
11498488
12539088
13574288
14610388
15628688
0890179
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 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
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval42.0ms (1%)

Memory
20.6MiB live, 59.5MiB allocated
Compiler

Compiled 11 788 to 597 computations (94.9% saved)

prune100.0ms (2.5%)

Memory
-8.9MiB live, 70.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2823285
Fresh000
Picked101
Done000
Total2833286
Accuracy
100.0%
Counts
286 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x #s(literal 1 binary64))
49.9%
(*.f64 x x)
53.4%
#s(literal 1 binary64)
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.2%)

Memory
-24.7MiB live, 11.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0611
1911
0911
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x x)
x
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
(*.f64 x x)
x
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize14.0ms (0.3%)

Memory
35.1MiB live, 35.1MiB allocated
Localize:

Found 2 expressions of interest:

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

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (53.9% of total)
ival-add: 1.0ms (27% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
-34.1MiB live, 4.0MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (fma.f64 x x #s(literal 1 binary64))>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
Calls

6 calls:

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

rewrite559.0ms (13.8%)

Memory
15.4MiB live, 661.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 846×lower-fma.f32
11 844×lower-fma.f64
3 746×lower-/.f64
3 746×lower-/.f32
3 638×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1247
21457
311747
086027
Stop Event
iter limit
node limit
iter limit
Counts
2 → 261
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)))
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(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))

simplify581.0ms (14.4%)

Memory
-7.1MiB live, 1 002.3MiB allocated
Algorithm
egg-herbie
Rules
18 422×lower-fma.f64
18 422×lower-fma.f32
9 228×lower-*.f64
9 228×lower-*.f32
2 978×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0888
12088
23588
35688
48888
510288
613188
722788
862188
9164688
10318188
11502888
12543288
13578488
14614588
15632888
0894179
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(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
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
Outputs
(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
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))

eval32.0ms (0.8%)

Memory
14.5MiB live, 89.9MiB allocated
Compiler

Compiled 11 748 to 588 computations (95% saved)

prune39.0ms (1%)

Memory
-15.8MiB live, 100.6MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2850285
Fresh000
Picked033
Done000
Total2853288
Accuracy
100.0%
Counts
288 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x #s(literal 1 binary64))
49.9%
(*.f64 x x)
53.4%
#s(literal 1 binary64)
Compiler

Compiled 25 to 12 computations (52% saved)

regimes6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Outputs
(fma.f64 x x #s(literal 1 binary64))
Calls

3 calls:

2.0ms
x
2.0ms
(*.f64 x x)
2.0ms
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 x x) #s(literal 1 binary64))
100.0%1(*.f64 x x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 x x)
Outputs
#s(literal 1 binary64)
(*.f64 x x)
Calls

3 calls:

1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.9%2x
98.9%2(+.f64 (*.f64 x x) #s(literal 1 binary64))
98.9%2(*.f64 x x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes49.0ms (1.2%)

Memory
-28.8MiB live, 10.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

3 calls:

47.0ms
(+.f64 (*.f64 x x) #s(literal 1 binary64))
1.0ms
x
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
53.4%1x
53.4%1(+.f64 (*.f64 x x) #s(literal 1 binary64))
53.4%1(*.f64 x x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch9.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
7.596516488438148e-7
633.6424508821831
Samples
3.0ms144×0valid
Compiler

Compiled 63 to 53 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (114.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify6.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated
Algorithm
egg-herbie
Rules
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
1915
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x #s(literal 1 binary64))
(if (<=.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
Outputs
(fma.f64 x x #s(literal 1 binary64))
(if (<=.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)

soundness642.0ms (15.9%)

Memory
-24.5MiB live, 275.6MiB allocated
Rules
18 422×lower-fma.f64
18 422×lower-fma.f32
11 846×lower-fma.f64
11 846×lower-fma.f32
9 228×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1248
21458
311728
085857
0888
12088
23588
35688
48888
510288
613188
722488
858588
9159488
10314188
11498488
12539088
13574288
14610388
15628688
0890179
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 29 to 15 computations (48.3% saved)

preprocess45.0ms (1.1%)

Memory
2.5MiB live, 41.4MiB allocated
Remove

(abs x)

Compiler

Compiled 54 to 26 computations (51.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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