Linear.Projection:inversePerspective from linear-1.19.1.3, C

Time bar (total: 4.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze20.0ms (0.5%)

Memory
21.7MiB live, 21.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.2s (28.9%)

Memory
33.1MiB live, 1 385.3MiB allocated
Samples
911.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 682.0ms
ival-mult: 357.0ms (52.3% of total)
ival-add: 236.0ms (34.6% of total)
ival-div: 74.0ms (10.9% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain151.0ms (3.6%)

Memory
-23.9MiB live, 223.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
520-5(-4.860402712771498e-202 -2.1114463989688487e-109)(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 x y)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u270
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow27
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/o200
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow20
Confusion
Predicted +Predicted -
+475
-0204
Precision
1.0
Recall
0.9038461538461539
Confusion?
Predicted +Predicted MaybePredicted -
+4705
-00204
Precision?
1.0
Recall?
0.9038461538461539
Freqs
test
numberfreq
0209
147
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 13.0ms (54.5% of total)
ival-mult: 7.0ms (29.3% of total)
ival-add: 3.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess71.0ms (1.7%)

Memory
-4.6MiB live, 94.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01953
16249
223935
383635
4176635
5190535
6195735
7210535
8266935
9289335
10289335
11289335
079
0119
1239
2567
31177
41787
51917
62157
73377
88347
912647
1014417
1116037
1218117
1318117
018117
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.6%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify30.0ms (0.7%)

Memory
6.1MiB live, 52.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0723
01123
12323
25621
311721
417821
519121
621521
733721
883421
9126421
10144121
11160321
12181121
13181121
0181121
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 x y)
(+.f64 y x)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize19.0ms (0.4%)

Memory
29.9MiB live, 29.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy11.746204902041878
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
13.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (44.5% of total)
ival-div: 2.0ms (29.6% of total)
ival-add: 1.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.6%)

Memory
-32.5MiB live, 13.3MiB allocated
Counts
4 → 14
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 x y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
y
(+ x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
x
@0
((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
2.0ms
y
@-inf
((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
2.0ms
x
@-inf
((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
2.0ms
x
@inf
((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
1.0ms
y
@inf
((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))

simplify108.0ms (2.6%)

Memory
35.7MiB live, 123.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03758
110758
221758
357752
4158552
5290552
6552452
7794652
0801152
Stop Event
1×iter limit
1×node limit
Counts
14 → 12
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
y
(+ x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
y
(+ x y)
(+.f64 y x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite232.0ms (5.5%)

Memory
-30.0MiB live, 248.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0720
01120
13920
222718
3252918
0831218
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 455
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 x y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (+.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) x)
(/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 x y) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 y x) y) (/.f64 (/.f64 x y) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 y (*.f64 y x)) (/.f64 (/.f64 x y) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 y x) y) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 y (*.f64 y x)) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)) (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x))) (neg.f64 y))
(/.f64 (+.f64 (neg.f64 (/.f64 y (*.f64 #s(literal 2 binary64) x))) (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x))) (neg.f64 y))
(/.f64 (+.f64 (/.f64 (neg.f64 y) y) (/.f64 (neg.f64 x) y)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 x) x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (neg.f64 x) x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) x)
(/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 y x) y) (/.f64 x (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 y (*.f64 y x)) (/.f64 x (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (neg.f64 y) y) (neg.f64 (/.f64 x y))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 (/.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 (neg.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 y (neg.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (+.f64 (neg.f64 (neg.f64 y)) x) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (+.f64 (/.f64 (/.f64 x y) x) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 x (*.f64 y x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 x y) x) (/.f64 (/.f64 y x) y)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 y x) y)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 x (*.f64 y x)) (/.f64 (/.f64 y x) y)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) (/.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x))) (neg.f64 y))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x))) (neg.f64 y))
(/.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 y) y)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (neg.f64 y) y)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y))) x)
(/.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 #s(literal 2 binary64) y))) x)
(/.f64 (+.f64 (/.f64 (/.f64 x y) x) (/.f64 y (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 x (*.f64 y x)) (/.f64 y (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 (/.f64 (neg.f64 x) x) (neg.f64 (/.f64 y x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 y (*.f64 #s(literal 2 binary64) x)))) (neg.f64 y))
(/.f64 (+.f64 x (neg.f64 (neg.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (neg.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (+.f64 y x) (*.f64 y x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 y x) y) x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 y x) x) y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 y x) y))) (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) x)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x y)))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 x)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
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(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) y) (-.f64 x y)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 y x)
(+.f64 x y)
(*.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) x)) y)
(*.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) y)) x)
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) y)
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) x))
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 y))
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 y)))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 y (fabs.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 y (fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 y (fabs.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 x (fabs.f64 (*.f64 #s(literal -2 binary64) y)))
(*.f64 x (fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y))))
(*.f64 x (fabs.f64 (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(+.f64 (*.f64 y x) (*.f64 y x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(+.f64 x x)

eval124.0ms (2.9%)

Memory
-9.7MiB live, 148.0MiB allocated
Compiler

Compiled 10 941 to 1 329 computations (87.9% saved)

prune9.0ms (0.2%)

Memory
36.8MiB live, 36.8MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4565461
Fresh000
Picked101
Done000
Total4575462
Accuracy
100.0%
Counts
462 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.0%
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
▶81.6%
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
▶100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶51.1%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶50.3%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 102 to 78 computations (23.5% saved)

simplify51.0ms (1.2%)

Memory
-19.9MiB live, 27.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 (+.f64 y x) x)
cost-diff2
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
cost-diff0
(+.f64 x x)
cost-diff0
(*.f64 (+.f64 x x) y)
cost-diff0
(+.f64 x y)
cost-diff2
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02197
03293
15993
29589
316289
422889
525289
637489
786789
8128489
9146289
10162489
11183089
12183089
0183089
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
(+.f64 x y)
x
y
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 x y)
x
y
(*.f64 (+.f64 x x) y)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 y x) x)
(/.f64 (+.f64 x y) x)
(+.f64 y x)
(+.f64 x y)
y
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize140.0ms (3.3%)

Memory
-5.7MiB live, 179.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy0.00390625
(/.f64 (+.f64 y x) x)
accuracy8.327878479695187
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
accuracy0.0
(+.f64 x y)
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 (+.f64 x x) y)
accuracy11.746204902041878
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy31.32422360374697
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) x)
accuracy31.821535700576298
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy0.0
(/.f64 #s(literal 1/2 binary64) x)
accuracy0.01953125
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Samples
81.0ms256×0valid
Compiler

Compiled 91 to 20 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 47.0ms (80.8% of total)
ival-mult: 6.0ms (10.3% of total)
ival-add: 5.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
39.0MiB live, 39.0MiB allocated
Counts
13 → 20
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
(+.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
(*.f64 #s(literal 2 binary64) y)
Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
y
(+ x y)
(* 2 (* x y))
(* 2 x)
(/ y x)
(/ (+ x y) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
x
(* x (+ 1 (/ y x)))
1
(+ 1 (/ y x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(* y (+ 1 (/ x y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
((+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
1.0ms
x
@-inf
((+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
1.0ms
x
@inf
((+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
1.0ms
y
@0
((+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
1.0ms
y
@inf
((+ (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))

simplify269.0ms (6.4%)

Memory
-36.3MiB live, 195.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04180
112280
223580
366374
4237174
5547874
0823574
Stop Event
1×iter limit
1×node limit
Counts
20 → 18
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
y
(+ x y)
(* 2 (* x y))
(* 2 x)
(/ y x)
(/ (+ x y) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
x
(* x (+ 1 (/ y x)))
1
(+ 1 (/ y x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(* y (+ 1 (/ x y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
y
(+ x y)
(+.f64 x y)
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(/.f64 (+.f64 x y) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ (/ 1 x) (/ 1 y)))
(/.f64 (+.f64 x y) x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

rewrite165.0ms (3.9%)

Memory
18.9MiB live, 118.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02179
03279
111979
073579
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
13 → 143
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
(+.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
(*.f64 #s(literal 2 binary64) y)
Outputs
(/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) y) x)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) y) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(/.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (/.f64 (+.f64 x y) (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (+.f64 x y)) (*.f64 x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (/.f64 (+.f64 x y) x) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (/.f64 (+.f64 x y) (neg.f64 x)) (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal -2 binary64) y)))
(neg.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(+.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 x y)
(+.f64 y x)
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 x y (*.f64 x y))
(fma.f64 y x (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) y) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(/.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (/.f64 (+.f64 x y) (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (+.f64 x y)) (*.f64 x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (/.f64 (+.f64 x y) x) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (/.f64 (+.f64 x y) (neg.f64 x)) (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal -2 binary64) y)))
(neg.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(+.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 x y (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 y x) x))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (-.f64 x y) x))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) x))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 x))
(/.f64 (+.f64 x y) x)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 x y)
(+.f64 y x)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(+.f64 y y)

eval19.0ms (0.5%)

Memory
-8.8MiB live, 37.0MiB allocated
Compiler

Compiled 1 854 to 360 computations (80.6% saved)

prune4.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1222124
Fresh000
Picked145
Done000
Total1236129
Accuracy
100.0%
Counts
129 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.0%
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
✓81.6%
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
▶37.3%
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓51.1%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓50.3%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 64 to 47 computations (26.6% saved)

simplify31.0ms (0.7%)

Memory
-2.2MiB live, 42.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01353
02053
13253
25753
310353
416851
521451
634051
785451
8127751
9146951
10163151
11183551
12183551
0183551
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
y
x
(+.f64 y y)
Outputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 y x) x)
(/.f64 (+.f64 x y) x)
(+.f64 y x)
(+.f64 x y)
y
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)

localize40.0ms (0.9%)

Memory
-13.1MiB live, 49.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y y)
accuracy0.0
(+.f64 y x)
accuracy0.00390625
(/.f64 (+.f64 y x) x)
accuracy8.327878479695187
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
accuracy0.0
(/.f64 y x)
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy8.327878479695187
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
accuracy31.66809452359328
#s(approx (/ (+ y x) x) (/.f64 y x))
Samples
32.0ms256×0valid
Compiler

Compiled 47 to 12 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 7.0ms (61.9% of total)
ival-add: 3.0ms (26.5% of total)
ival-mult: 1.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
8 → 18
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
(*.f64 #s(literal 2 binary64) y)
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
(+.f64 y y)
Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ y x)
(/ (+ x y) x)
y
(+ x y)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
1
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify216.0ms (5.1%)

Memory
-17.4MiB live, 256.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03872
111372
222772
365166
4232166
5522866
0809066
Stop Event
1×iter limit
1×node limit
Counts
18 → 16
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ y x)
(/ (+ x y) x)
y
(+ x y)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
1
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
y
(+ x y)
(+.f64 x y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(/.f64 (+.f64 x y) x)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ (/ 1 x) (/ 1 y)))
(/.f64 (+.f64 x y) x)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

rewrite51.0ms (1.2%)

Memory
21.5MiB live, 62.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
02048
16348
034748
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
8 → 84
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
(*.f64 #s(literal 2 binary64) y)
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
(+.f64 y y)
Outputs
(*.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x)))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 2 binary64)) y)
(/.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal -2 binary64) y)))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 y (neg.f64 x)))
(*.f64 #s(literal -2 binary64) y)
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
(*.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) y) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 x y) (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (+.f64 x y)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (*.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x y) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (/.f64 (/.f64 y x) (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 x (*.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 y (*.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (/.f64 y (*.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (*.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 y) x (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 x y (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 y x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 x))
(/.f64 (+.f64 x y) x)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 x y)
(+.f64 y x)
(*.f64 #s(literal -2 binary64) y)
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)

eval8.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated
Compiler

Compiled 1 139 to 220 computations (80.7% saved)

prune22.0ms (0.5%)

Memory
-46.4MiB live, 12.7MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New74175
Fresh000
Picked112
Done044
Total75681
Accuracy
100.0%
Counts
81 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.0%
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
✓81.6%
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
▶37.3%
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓51.1%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓50.3%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 64 to 46 computations (28.1% saved)

simplify4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y y)
cost-diff0
(/.f64 y x)
cost-diff0
#s(approx (/ (+ y x) x) (/.f64 y x))
cost-diff0
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01130
11630
22330
32730
02730
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
y
x
(+.f64 y y)
Outputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
y
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)

localize23.0ms (0.5%)

Memory
-2.5MiB live, 45.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y x)
accuracy0.0
(+.f64 y y)
accuracy8.327878479695187
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
accuracy31.66809452359328
#s(approx (/ (+ y x) x) (/.f64 y x))
Samples
17.0ms256×0valid
Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (47.4% of total)
ival-add: 5.0ms (47.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
4 → 11
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
(+.f64 y y)
Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ y x)
(/ (+ x y) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
1
(+ 1 (/ y x))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(* y (+ (/ 1 x) (/ 1 y)))
Calls

6 calls:

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

simplify164.0ms (3.9%)

Memory
14.5MiB live, 157.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02655
17055
213855
326949
466449
5232949
6652649
0902849
Stop Event
1×iter limit
1×node limit
Counts
11 → 11
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ y x)
(/ (+ x y) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
1
(+ 1 (/ y x))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(* y (+ (/ 1 x) (/ 1 y)))
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(/.f64 (+.f64 x y) x)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ (/ 1 x) (/ 1 y)))
(/.f64 (+.f64 x y) x)

rewrite37.0ms (0.9%)

Memory
-7.1MiB live, 37.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01128
14328
027228
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
4 → 27
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
(+.f64 y y)
Outputs
(*.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 2 binary64)) y)
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x)))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal -2 binary64) y)))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 y (neg.f64 x)))
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)

eval3.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Compiler

Compiled 516 to 95 computations (81.6% saved)

prune4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New33033
Fresh000
Picked011
Done055
Total33639
Accuracy
100.0%
Counts
39 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.0%
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
✓81.6%
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
✓37.3%
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓51.1%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓50.3%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 159 to 79 computations (50.3% saved)

regimes15.0ms (0.4%)

Memory
-15.1MiB live, 27.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Calls

3 calls:

8.0ms
y
3.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
100.0%1x
100.0%1y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
91.2%5(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
90.7%3x
92.8%3y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

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

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
57.7%3(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
83.2%2x
84.6%2y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.2%)

Memory
-33.9MiB live, 10.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

4.0ms
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
50.3%1(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
50.3%1x
50.3%1y
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch135.0ms (3.2%)

Memory
-2.3MiB live, 77.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
1.888045653517232e+126
5.244181603671892e+126
12.0ms
2.116883504886178e-189
6.674476840964101e-184
Samples
11.0ms224×0valid
Compiler

Compiled 320 to 264 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.1% of total)
ival-div: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (1.2%)

Memory
-36.2MiB live, 13.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.0369121803073665e-90
6.546887405997217e-87
Samples
6.0ms128×0valid
Compiler

Compiled 220 to 188 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (58.6% of total)
ival-div: 1.0ms (29.3% of total)
ival-add: 1.0ms (29.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify40.0ms (0.9%)

Memory
26.6MiB live, 71.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02693
13893
27193
313593
423993
537693
689693
7657493
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 4784065733063811/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 4399999999999999970031601718619334157050068216308428734419960538056237930426733673176674587226278439860204050270478330132168704 binary64)) (/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 7839106597622315/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 4784065733063811/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 4399999999999999970031601718619334157050068216308428734419960538056237930426733673176674587226278439860204050270478330132168704 binary64)) (/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 7839106597622315/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

soundness650.0ms (15.4%)

Memory
-14.2MiB live, 320.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0720
01120
13920
222718
3252918
0831218
03758
110758
221758
357752
4158552
5290552
6552452
7794652
0801152
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 142 to 67 computations (52.8% saved)

preprocess31.0ms (0.7%)

Memory
31.7MiB live, 31.7MiB allocated
Remove

(sort x y)

Compiler

Compiled 232 to 90 computations (61.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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