Linear.Projection:inversePerspective from linear-1.19.1.3, C

Time bar (total: 3.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze20.0ms (0.6%)

Memory
17.5MiB live, 56.7MiB allocated
Algorithm
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)

sample653.0ms (19.1%)

Memory
0.1MiB live, 864.0MiB allocated
Samples
409.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 236.0ms
ival-mult: 121.0ms (51.4% of total)
ival-add: 53.0ms (22.5% of total)
ival-div: 50.0ms (21.2% of total)
ival-true: 5.0ms (2.1% of total)
exact: 5.0ms (2.1% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain116.0ms (3.4%)

Memory
15.1MiB live, 129.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-2(-9.180836523536412e-167 -5.078439338322202e-145)(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
10-0-(*.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-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u320
(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow32
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/o300
(*.f64 x #s(literal 2 binary64))overflow1
(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow30
*.f64(*.f64 (*.f64 x #s(literal 2 binary64)) y)n*o10
Confusion
Predicted +Predicted -
+632
-0191
Precision
1.0
Recall
0.9692307692307692
Confusion?
Predicted +Predicted MaybePredicted -
+6302
-00191
Precision?
1.0
Recall?
0.9692307692307692
Freqs
test
numberfreq
0193
163
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms512×0valid
Compiler

Compiled 82 to 32 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46.6% of total)
ival-div: 3.0ms (23.3% of total)
ival-add: 3.0ms (23.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess74.0ms (2.2%)

Memory
-21.2MiB live, 61.5MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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
0.2MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.4%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify26.0ms (0.8%)

Memory
28.8MiB live, 28.8MiB allocated
Algorithm
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
iter limit
saturated
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)

localize26.0ms (0.8%)

Memory
-20.0MiB live, 19.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy0.24010023243363315
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy14.839478959642303
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
21.0ms256×0valid
Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (78.4% of total)
ival-div: 1.0ms (7.1% of total)
ival-add: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory
7.8MiB live, 7.8MiB 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
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
x
@0
((/ (+ 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))

simplify119.0ms (3.5%)

Memory
-11.9MiB live, 69.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03758
110758
221758
357752
4158552
5290552
6552452
7794652
0801152
Stop Event
iter limit
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)

rewrite271.0ms (8%)

Memory
33.2MiB live, 222.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0720
01120
13920
222718
3252918
0831218
Stop Event
iter limit
node limit
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 (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)

eval57.0ms (1.7%)

Memory
-31.6MiB live, 100.5MiB allocated
Compiler

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

prune9.0ms (0.3%)

Memory
25.0MiB live, 25.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4556461
Fresh000
Picked101
Done000
Total4566462
Accuracy
100.0%
Counts
462 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.7%
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
88.1%
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
76.4%
(/.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))
49.7%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
50.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 120 to 92 computations (23.3% saved)

simplify54.0ms (1.6%)

Memory
-25.0MiB live, 51.2MiB allocated
Algorithm
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
iter limit
saturated
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)

localize68.0ms (2%)

Memory
20.0MiB live, 58.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy0.01953125
(/.f64 (+.f64 y x) x)
accuracy7.580712539420606
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
accuracy0.0
(+.f64 x y)
accuracy0.0
(+.f64 x x)
accuracy0.24010023243363315
(*.f64 (+.f64 x x) y)
accuracy14.839478959642303
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy32.20964564603795
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) x)
accuracy32.01171923156202
#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)
accuracy0.015625
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Samples
55.0ms256×0valid
Compiler

Compiled 188 to 42 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 33.0ms (76.7% of total)
ival-mult: 6.0ms (13.9% of total)
ival-add: 4.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (1%)

Memory
-27.3MiB live, 15.8MiB 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
27.0ms
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))
3.0ms
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))
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))

simplify240.0ms (7%)

Memory
2.3MiB live, 197.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04180
112280
223580
366374
4237174
5547874
0823574
Stop Event
iter limit
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)

rewrite73.0ms (2.1%)

Memory
12.6MiB live, 51.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02179
03279
111979
073579
Stop Event
iter limit
iter limit
node limit
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)

eval12.0ms (0.4%)

Memory
17.0MiB live, 17.0MiB allocated
Compiler

Compiled 1 854 to 360 computations (80.6% saved)

prune4.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1231124
Fresh011
Picked145
Done000
Total1246130
Accuracy
100.0%
Counts
130 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.7%
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
88.1%
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
76.4%
(/.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))
49.7%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
50.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 60 to 45 computations (25% saved)

simplify44.0ms (1.3%)

Memory
-16.2MiB live, 21.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01045
01745
13545
27941
313441
420341
522741
634941
785141
8126441
9144441
10160641
11181041
12181041
0181041
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
y
x
(+.f64 y y)
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 y x) y)
(+.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
(/.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)
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 y x) y)
(/.f64 (+.f64 x y) y)
(+.f64 y x)
(+.f64 x y)
y
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize35.0ms (1%)

Memory
9.9MiB live, 51.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.01171875
(/.f64 (+.f64 y x) y)
accuracy7.844280647445837
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(+.f64 y y)
accuracy0.0
(+.f64 y x)
accuracy0.01953125
(/.f64 (+.f64 y x) x)
accuracy7.580712539420606
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
Samples
27.0ms256×0valid
Compiler

Compiled 92 to 22 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 11.0ms (70.6% of total)
ival-add: 3.0ms (19.3% of total)
ival-mult: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory
-16.2MiB live, 17.2MiB allocated
Counts
7 → 23
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
(+.f64 y y)
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 y x) y)
(*.f64 #s(literal 2 binary64) x)
Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ y x)
(/ (+ x y) x)
y
(+ x y)
1
(+ 1 (/ x y))
(* 2 x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(/ (+ x y) y)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@0
((/ (/ (+ y x) x) (+ y y)) (/ (+ y x) x) (+ y x) (+ y y) (/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (* 2 x))
1.0ms
y
@-inf
((/ (/ (+ y x) x) (+ y y)) (/ (+ y x) x) (+ y x) (+ y y) (/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (* 2 x))
1.0ms
y
@inf
((/ (/ (+ y x) x) (+ y y)) (/ (+ y x) x) (+ y x) (+ y y) (/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (* 2 x))
1.0ms
x
@-inf
((/ (/ (+ y x) x) (+ y y)) (/ (+ y x) x) (+ y x) (+ y y) (/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (* 2 x))
1.0ms
x
@0
((/ (/ (+ y x) x) (+ y y)) (/ (+ y x) x) (+ y x) (+ y y) (/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (* 2 x))

simplify165.0ms (4.8%)

Memory
-2.1MiB live, 168.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04193
112793
224993
369887
4267087
5683187
0809687
Stop Event
iter limit
node limit
Counts
23 → 21
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ y x)
(/ (+ x y) x)
y
(+ x y)
1
(+ 1 (/ x y))
(* 2 x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(/ (+ x y) 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
#s(literal 1 binary64)
(+ 1 (/ x y))
(/.f64 (+.f64 x y) y)
(* 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))
(+ 1 (/ y x))
(/.f64 (+.f64 x y) x)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(/.f64 (+.f64 x y) 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)
(/ (+ x y) y)
(/.f64 (+.f64 x y) 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)

rewrite49.0ms (1.4%)

Memory
0.3MiB live, 37.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01037
01737
16537
041037
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
7 → 99
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
(+.f64 y y)
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 y x) y)
(*.f64 #s(literal 2 binary64) x)
Outputs
(*.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) y) x) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64)) x)
(/.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 (neg.f64 (+.f64 x y)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(/.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) (neg.f64 y)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (+.f64 x y) (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (+.f64 x y) y) (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.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 x y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) x)))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64)) x))
(neg.f64 (/.f64 (/.f64 (+.f64 x y) y) (*.f64 #s(literal -2 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(+.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 y x) (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) 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 (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 (/.f64 y x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/.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 #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)
(*.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) y) x) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64)) x)
(/.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 (neg.f64 (+.f64 x y)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(/.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) (neg.f64 y)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (+.f64 x y) (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (+.f64 x y) y) (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.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 x y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) x)))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64)) x))
(neg.f64 (/.f64 (/.f64 (+.f64 x y) y) (*.f64 #s(literal -2 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(+.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 y x) (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (fma.f64 y y (*.f64 x y)) (*.f64 y y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 y x) y))
(/.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)) y))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 y))
(/.f64 (+.f64 x y) y)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.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))))
(+.f64 x x)

eval9.0ms (0.3%)

Memory
27.7MiB live, 27.7MiB allocated
Compiler

Compiled 1 400 to 276 computations (80.3% saved)

prune7.0ms (0.2%)

Memory
-25.4MiB live, 11.0MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New96197
Fresh000
Picked112
Done044
Total976103
Accuracy
100.0%
Counts
103 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.7%
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
88.1%
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
76.4%
(/.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))
49.7%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
50.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 60 to 44 computations (26.7% saved)

simplify27.0ms (0.8%)

Memory
27.6MiB live, 27.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 (+.f64 y x) y)
cost-diff2
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0622
01022
11822
23922
38222
414220
519220
631420
782320
8123620
9141320
10157520
11177320
12177320
0177320
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
(/.f64 (+.f64 y x) y)
(+.f64 y x)
y
x
(+.f64 x x)
Outputs
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 y x) y)
(/.f64 (+.f64 x y) y)
(+.f64 y x)
(+.f64 x y)
y
x
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)

localize27.0ms (0.8%)

Memory
-18.4MiB live, 28.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0
(+.f64 x x)
accuracy0.01171875
(/.f64 (+.f64 y x) y)
accuracy7.844280647445837
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
Samples
22.0ms256×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 9.0ms (57.1% of total)
ival-div: 6.0ms (38.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
4 → 18
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
(/.f64 (+.f64 y x) y)
(+.f64 y x)
(+.f64 x x)
Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
1
(+ 1 (/ x y))
y
(+ x y)
(* 2 x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ x y) y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x))
1.0ms
x
@-inf
((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x))
1.0ms
x
@0
((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x))
0.0ms
y
@-inf
((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x))
0.0ms
y
@inf
((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (+ y x) (+ x x))

simplify242.0ms (7.1%)

Memory
5.1MiB live, 159.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03872
111372
222772
364266
4230166
5523466
0808366
Stop Event
iter limit
node limit
Counts
18 → 16
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
1
(+ 1 (/ x y))
y
(+ x y)
(* 2 x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ x y) 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))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
y
(+ x y)
(+.f64 x y)
(* 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 y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
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))
(/ (+ x y) y)
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

rewrite33.0ms (1%)

Memory
0.9MiB live, 38.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01020
14320
029620
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
4 → 49
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
(/.f64 (+.f64 y x) y)
(+.f64 y x)
(+.f64 x x)
Outputs
(*.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 x y) y) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 2 binary64)) x)
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.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 (neg.f64 (+.f64 x y)) (*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y)))
(/.f64 (/.f64 (+.f64 x y) (neg.f64 y)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 x y) (*.f64 (*.f64 #s(literal -2 binary64) x) y))
(neg.f64 (*.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 (/.f64 x y) (*.f64 #s(literal -2 binary64) x)))
(+.f64 (/.f64 x (*.f64 (*.f64 #s(literal -2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal -2 binary64) x) y)))
(+.f64 (/.f64 y (*.f64 (*.f64 #s(literal -2 binary64) x) y)) (/.f64 x (*.f64 (*.f64 #s(literal -2 binary64) x) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (fma.f64 y y (*.f64 x y)) (*.f64 y y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 y 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)) y))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 y))
(/.f64 (+.f64 x y) y)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.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 y #s(literal 3 binary64)) (pow.f64 x #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 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y 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 (*.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) x)
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.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 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))) (neg.f64 (fma.f64 x x #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)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.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 (neg.f64 x) (neg.f64 x))
(+.f64 x x)

eval11.0ms (0.3%)

Memory
-17.8MiB live, 18.5MiB allocated
Compiler

Compiled 822 to 181 computations (78% saved)

prune4.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New57057
Fresh000
Picked011
Done055
Total57663
Accuracy
100.0%
Counts
63 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.7%
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
88.1%
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
76.4%
(/.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))
49.7%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
50.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 147 to 75 computations (49% saved)

regimes12.0ms (0.3%)

Memory
-14.3MiB live, 23.2MiB 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 (/.f64 (+.f64 y x) x) (+.f64 y y))
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Calls

3 calls:

5.0ms
x
3.0ms
y
3.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB 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
x
2.0ms
y
2.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
89.6%3x
90.9%4y
88.2%5(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB 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
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
55.8%2(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
81.2%2y
81.0%2x
Compiler

Compiled 11 to 11 computations (0% saved)

regimes9.0ms (0.3%)

Memory
-33.3MiB live, 10.6MiB 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:

3.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
50.0%1(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
50.0%1x
50.0%1y
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch30.0ms (0.9%)

Memory
24.8MiB live, 61.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
-2.839824038082857e-200
-6.49209576669469e-207
11.0ms
-6.389562780433368e+114
-9.162665334935329e+111
Samples
17.0ms272×0valid
Compiler

Compiled 386 to 318 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (44.3% of total)
ival-div: 2.0ms (29.5% of total)
ival-add: 2.0ms (29.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.8%)

Memory
-9.6MiB live, 28.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
1.7066473988579376e-90
1.9398458213010131e-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-div: 1.0ms (32% of total)
ival-add: 1.0ms (32% of total)
ival-mult: 1.0ms (32% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify50.0ms (1.5%)

Memory
7.7MiB live, 46.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02693
13893
27193
313593
423993
537693
689693
7657493
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -6300000000000000098024321615641111052889668800602687030229554656714252821337960930569407956464798920360099569467392 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -4826195730214239/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768 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 x #s(literal -6300000000000000098024321615641111052889668800602687030229554656714252821337960930569407956464798920360099569467392 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -4826195730214239/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768 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))

soundness701.0ms (20.5%)

Memory
-39.3MiB live, 266.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

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

Compiled 142 to 67 computations (52.8% saved)

preprocess40.0ms (1.2%)

Memory
29.9MiB live, 65.4MiB 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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