Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

Time bar (total: 3.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (29.4%)

Memory
-1.8MiB live, 939.7MiB allocated
Samples
532.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 253.0ms
ival-mult: 191.0ms (75.4% of total)
ival-sub: 49.0ms (19.3% of total)
ival-true: 6.0ms (2.4% of total)
exact: 4.0ms (1.6% of total)
ival-assert: 4.0ms (1.6% of total)
Bogosity

explain201.0ms (5.2%)

Memory
33.7MiB live, 112.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(-.f64 (*.f64 x x) (*.f64 x y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
00-0-(*.f64 x x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 x y))nan-rescue110
(*.f64 x x)overflow55
(*.f64 x y)overflow25
Confusion
Predicted +Predicted -
+110
-0245
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1100
-00245
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 10.0ms (77.9% of total)
ival-sub: 2.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess107.0ms (2.8%)

Memory
-28.0MiB live, 10.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01939
17035
218535
356935
4116235
5145535
6158135
7158135
8158135
079
0117
1207
2487
3997
41777
52377
63867
76057
88427
99157
09157
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.7%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (0.6%)

Memory
15.3MiB live, 15.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
cost-diff2
(-.f64 (*.f64 x x) (*.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01121
12021
24821
39921
417721
523721
638621
760521
884221
991521
091521
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) x))
#s(literal 2 binary64)
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 (-.f64 x y) x)
(*.f64 x x)
x
(*.f64 x y)
(*.f64 y x)
y

localize18.0ms (0.5%)

Memory
17.7MiB live, 17.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
accuracy2.3984292433208236
(-.f64 (*.f64 x x) (*.f64 x y))
Samples
13.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (80.1% of total)
ival-sub: 1.0ms (16% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (1%)

Memory
-40.4MiB live, 3.5MiB allocated
Counts
4 → 15
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)
Outputs
(* -1 (* x y))
(* x (- x y))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(pow x 2)
(* x y)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ (* -1 (* x y)) (pow x 2))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* y (- (/ (pow x 2) y) x))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Calls

6 calls:

TimeVariablePointExpression
35.0ms
x
@inf
((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))
1.0ms
y
@inf
((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))
1.0ms
x
@0
((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))
1.0ms
x
@-inf
((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))
1.0ms
y
@-inf
((- (* x x) (* x y)) (* 2 (- (* x x) (* x y))) (* x x) (* x y))

simplify107.0ms (2.8%)

Memory
36.3MiB live, 72.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04290
113290
232090
3112580
4359580
5575480
6678780
0819080
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
(* -1 (* x y))
(* x (- x y))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(pow x 2)
(* x y)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ (* -1 (* x y)) (pow x 2))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* y (- (/ (pow x 2) y) x))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Outputs
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- x y))
(*.f64 (-.f64 x y) x)
(* -2 (* x y))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(* x (+ (* -2 y) (* 2 x)))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
(pow x 2)
(*.f64 x x)
(* x y)
(*.f64 y x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
(* y (- (/ (pow x 2) y) x))
(*.f64 (-.f64 x y) x)
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(*.f64 (-.f64 x y) x)
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))

rewrite214.0ms (5.6%)

Memory
2.3MiB live, 197.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01118
13418
223918
3222718
0881518
Stop Event
iter limit
node limit
iter limit
Counts
4 → 304
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y x) x) (+.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (+.f64 y x)) (-.f64 (*.f64 (*.f64 (*.f64 y x) x) (+.f64 y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)))
(*.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) x))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) x)
(*.f64 (*.f64 (+.f64 y x) x) (/.f64 (*.f64 (-.f64 x y) x) (*.f64 (+.f64 y x) x)))
(*.f64 (*.f64 (+.f64 y x) x) (*.f64 (*.f64 (-.f64 x y) x) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 x y) x) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 x y) x) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 x (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 y x) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 y x) (*.f64 x x)) (-.f64 (*.f64 y x) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) (*.f64 x x))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x)))) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))))
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(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (/.f64 #s(literal 2 binary64) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 y x)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (+.f64 y x)) (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (+.f64 y x)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 y x))))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 y x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) y (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 y (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 x (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval68.0ms (1.8%)

Memory
-28.4MiB live, 96.2MiB allocated
Compiler

Compiled 9 447 to 1 092 computations (88.4% saved)

prune5.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3083311
Fresh000
Picked101
Done000
Total3093312
Accuracy
100.0%
Counts
312 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
57.0%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
59.2%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
Compiler

Compiled 37 to 28 computations (24.3% saved)

simplify43.0ms (1.1%)

Memory
-17.1MiB live, 22.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 2 binary64))
cost-diff0
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 y x))
cost-diff0
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01767
02463
14563
28663
314063
421963
533363
650363
779963
895363
995363
095363
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
#s(literal -2 binary64)
(*.f64 y x)
y
x
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(-.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
#s(literal -2 binary64)
(*.f64 y x)
y
x
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
(-.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize47.0ms (1.2%)

Memory
27.9MiB live, 65.0MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.015625
(*.f64 (*.f64 x x) #s(literal 2 binary64))
accuracy27.493516575724158
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
accuracy0.0
(*.f64 y x)
accuracy0.0
(*.f64 #s(literal -2 binary64) (*.f64 y x))
accuracy26.082607641328604
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
Samples
39.0ms256×0valid
Compiler

Compiled 57 to 16 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 26.0ms (89.3% of total)
ival-sub: 2.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.5%)

Memory
-18.4MiB live, 23.6MiB allocated
Counts
9 → 18
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(*.f64 y x)
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
Outputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* x y)
(* 2 (pow x 2))
(pow x 2)
(* -1 y)
(- x y)
(* 2 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ x (* -1 y))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (* 2 x)) (- x y) (* 2 x))
4.0ms
x
@-inf
((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (* 2 x)) (- x y) (* 2 x))
2.0ms
y
@0
((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (* 2 x)) (- x y) (* 2 x))
1.0ms
x
@0
((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (* 2 x)) (- x y) (* 2 x))
1.0ms
y
@-inf
((* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (* (- x y) (* 2 x)) (- x y) (* 2 x))

simplify104.0ms (2.7%)

Memory
30.9MiB live, 141.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04485
113485
233885
392175
4240475
5490575
6667875
7757175
0825975
Stop Event
iter limit
node limit
Counts
18 → 17
Calls
Call 1
Inputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* x y)
(* 2 (pow x 2))
(pow x 2)
(* -1 y)
(- x y)
(* 2 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ x (* -1 y))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(* -2 (* x y))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(* x (+ (* -2 y) (* 2 x)))
(*.f64 (*.f64 x (-.f64 y x)) #s(literal -2 binary64))
(* x y)
(*.f64 y x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(*.f64 (*.f64 x (-.f64 y x)) #s(literal -2 binary64))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 x (-.f64 y x)) #s(literal -2 binary64))
(+ x (* -1 y))
(-.f64 x y)
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 x (-.f64 y x)) #s(literal -2 binary64))
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(*.f64 (*.f64 x (-.f64 y x)) #s(literal -2 binary64))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite292.0ms (7.6%)

Memory
-24.3MiB live, 189.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01759
02455
16955
239055
3362655
0824755
Stop Event
iter limit
node limit
iter limit
Counts
9 → 217
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(*.f64 y x)
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 #s(literal -2 binary64) y) x))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) y)
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) y)
(*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) x)
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) x)
(*.f64 (*.f64 #s(literal -2 binary64) x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) y) x)
(*.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64)))
(*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 y (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal -2 binary64) x))
(*.f64 x (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) y))
(neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(neg.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(neg.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 y x))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (+.f64 y x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) y) (+.f64 y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (/.f64 #s(literal 2 binary64) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 y x)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y x)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 x x) y) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
(pow.f64 (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 x #s(literal 2 binary64))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) y) x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) y) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) #s(literal 2 binary64))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 x x) y) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) #s(literal 2 binary64)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) x)))
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eval33.0ms (0.8%)

Memory
2.4MiB live, 41.3MiB allocated
Compiler

Compiled 4 431 to 644 computations (85.5% saved)

prune38.0ms (1%)

Memory
-23.2MiB live, 16.2MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2241225
Fresh000
Picked123
Done000
Total2253228
Accuracy
100.0%
Counts
228 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
57.0%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
59.2%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
Compiler

Compiled 37 to 28 computations (24.3% saved)

simplify23.0ms (0.6%)

Memory
26.9MiB live, 26.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
cost-diff0
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
01223
12423
25423
39823
417923
523923
638623
760623
883923
991323
091323
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize130.0ms (3.4%)

Memory
-2.1MiB live, 37.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy27.493516575724158
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
Samples
125.0ms256×0valid
Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 117.0ms (98.7% of total)
ival-sub: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
3 → 8
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
Outputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* 2 (- (* x x) (* x y))) (* (* x 2) x) (* x 2))
1.0ms
x
@inf
((* 2 (- (* x x) (* x y))) (* (* x 2) x) (* x 2))
1.0ms
x
@0
((* 2 (- (* x x) (* x y))) (* (* x 2) x) (* x 2))
0.0ms
y
@-inf
((* 2 (- (* x x) (* x y))) (* (* x 2) x) (* x 2))
0.0ms
y
@inf
((* 2 (- (* x x) (* x y))) (* (* x 2) x) (* x 2))

simplify187.0ms (4.9%)

Memory
-15.4MiB live, 65.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02758
17858
218258
339653
4102448
5259948
6551248
0819148
Stop Event
iter limit
node limit
Counts
8 → 8
Calls
Call 1
Inputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Outputs
(* -2 (* x y))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(* x (+ (* -2 y) (* 2 x)))
(*.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) x))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(*.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) x))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(*.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) x))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) x))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(*.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) x))

rewrite171.0ms (4.4%)

Memory
27.6MiB live, 176.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
01221
13821
224521
3221221
0882221
Stop Event
iter limit
node limit
iter limit
Counts
3 → 7
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

eval1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Compiler

Compiled 177 to 36 computations (79.7% saved)

prune7.0ms (0.2%)

Memory
-33.3MiB live, 5.0MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New11011
Fresh000
Picked011
Done022
Total11314
Accuracy
100.0%
Counts
14 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
57.0%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
59.2%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
Compiler

Compiled 98 to 52 computations (46.9% saved)

regimes9.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

2.0ms
y
2.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(-.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.2%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
Calls

4 calls:

2.0ms
y
2.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
2.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
x
Results
AccuracySegmentsBranch
83.2%3x
85.6%3y
82.8%2(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
82.8%2(-.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes18.0ms (0.5%)

Memory
-26.9MiB live, 11.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

14.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
1.0ms
x
1.0ms
y
1.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
59.2%1x
59.2%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
59.2%1(-.f64 (*.f64 x x) (*.f64 x y))
59.2%1y
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch27.0ms (0.7%)

Memory
5.0MiB live, 48.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.034138357082849e+59
1.5841252217055151e+60
12.0ms
-3.2939897737741863e-72
-1.5015923263168763e-77
Samples
11.0ms240×0valid
Compiler

Compiled 462 to 372 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (83% of total)
ival-sub: 1.0ms (16.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify68.0ms (1.8%)

Memory
12.4MiB live, 49.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02355
13755
26755
311855
421555
528455
655255
7476055
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(if (<=.f64 y #s(literal -2934207094817741/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (if (<=.f64 y #s(literal 155000000000000007319512706047296660623653402107964385394688 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
Outputs
(*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(if (<=.f64 y #s(literal -2934207094817741/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (if (<=.f64 y #s(literal 155000000000000007319512706047296660623653402107964385394688 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
(if (or (<=.f64 y #s(literal -2934207094817741/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (not (<=.f64 y #s(literal 155000000000000007319512706047296660623653402107964385394688 binary64)))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))

soundness673.0ms (17.5%)

Memory
-8.0MiB live, 371.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01118
13418
223918
3222718
0881518
01759
02455
16955
239055
3362655
0824755
04290
113290
232090
3112580
4359580
5575480
6678780
0819080
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 107 to 61 computations (43% saved)

preprocess39.0ms (1%)

Memory
-19.0MiB live, 102.0MiB allocated
Compiler

Compiled 154 to 76 computations (50.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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