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; 0ms collecting garbage

analyze21.0ms (0.6%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
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 (34.9%)

Memory
19.8MiB live, 1 288.0MiB allocated; 282ms collecting garbage
Samples
928.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 496.0ms
ival-div: 216.0ms (43.5% of total)
ival-mult: 213.0ms (42.9% of total)
ival-add: 51.0ms (10.3% of total)
ival-true: 5.0ms (1% of total)
exact: 5.0ms (1% of total)
adjust: 3.0ms (0.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain148.0ms (4.3%)

Memory
23.9MiB live, 161.4MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-2(4.371666834367014e-304 -2.564450725774742e-11)(/.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/o360
↳(*.f64 x #s(literal 2 binary64))overflow1
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow36
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u260
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow26
*.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
104.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 24.0ms (76.4% of total)
ival-div: 3.0ms (9.6% of total)
ival-add: 3.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess84.0ms (2.4%)

Memory
-13.4MiB live, 124.8MiB allocated; 35ms collecting garbage
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
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.7%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify33.0ms (1%)

Memory
6.3MiB live, 48.9MiB allocated; 10ms collecting garbage
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)

localize30.0ms (0.9%)

Memory
-2.2MiB live, 59.8MiB allocated; 12ms collecting garbage
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))
accuracy14.893122311943051
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
18.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (47.9% of total)
ival-mult: 3.0ms (28.7% of total)
ival-add: 2.0ms (19.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory
-17.3MiB live, 28.7MiB allocated; 6ms collecting garbage
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
6.0ms
x
@-inf
((/ (+ 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))
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))

simplify186.0ms (5.4%)

Memory
-27.9MiB live, 144.5MiB allocated; 81ms collecting garbage
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)

rewrite178.0ms (5.2%)

Memory
-5.4MiB live, 275.2MiB allocated; 38ms collecting garbage
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)))
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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)

eval127.0ms (3.7%)

Memory
18.1MiB live, 149.5MiB allocated; 52ms collecting garbage
Compiler

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

prune10.0ms (0.3%)

Memory
36.1MiB live, 36.1MiB allocated; 0ms collecting garbage
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
88.1%
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
▶85.2%
(/.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
▶76.7%
(/.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))
▶53.1%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶48.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 120 to 94 computations (21.7% saved)

simplify62.0ms (1.8%)

Memory
-27.7MiB live, 59.0MiB allocated; 20ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(/.f64 x (*.f64 #s(literal 2 binary64) y))
cost-diff0
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
cost-diff2
(/.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
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
021102
03298
15798
29494
315894
421494
523894
636094
785394
8126694
9144194
10160394
11180794
12180794
0180794
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 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)
Outputs
(+.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 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.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 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)

localize68.0ms (2%)

Memory
-9.7MiB live, 95.3MiB allocated; 28ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x (*.f64 #s(literal 2 binary64) y))
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy0.00390625
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
accuracy9.454194292700523
(/.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
accuracy0.0
(+.f64 x y)
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 (+.f64 x x) y)
accuracy14.893122311943051
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy30.02668751520898
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) x)
accuracy33.30760227065607
#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)
accuracy0.02734375
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Samples
52.0ms256×0valid
Compiler

Compiled 96 to 20 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 10.0ms (43.9% of total)
ival-add: 6.0ms (26.3% of total)
ival-mult: 6.0ms (26.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory
30.7MiB live, 30.7MiB allocated; 0ms collecting garbage
Counts
13 → 21
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 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.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)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* 2 y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
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) (/ (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms
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) (/ (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 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) (/ (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms
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) (/ (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms
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) (/ (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))

simplify198.0ms (5.7%)

Memory
-1.5MiB live, 226.0MiB allocated; 84ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04595
113695
228489
386089
4236689
5485489
6705089
0801485
Stop Event
1×iter limit
1×node limit
Counts
21 → 19
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
y
(+ x y)
(* 2 (* x y))
(* 2 x)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* 2 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 x y)
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ 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)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

rewrite66.0ms (1.9%)

Memory
-5.6MiB live, 103.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02183
03283
112283
079683
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
13 → 113
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 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.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 x y) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x)) (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))) (-.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (-.f64 (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 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) #s(literal 0 binary64)) #s(literal 0 binary64)) 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 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (+.f64 x y)) (*.f64 x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (+.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) x) 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 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x))
(+.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.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 y (-.f64 y x) (*.f64 x 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 y y (-.f64 (*.f64 x x) (*.f64 x 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 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x 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 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (neg.f64 x) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x))
(neg.f64 (/.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (neg.f64 x)))
(+.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(*.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)

eval16.0ms (0.5%)

Memory
6.6MiB live, 52.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 051 to 401 computations (80.4% saved)

prune4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1301131
Fresh011
Picked145
Done000
Total1316137
Accuracy
100.0%
Counts
137 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.1%
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
▶85.2%
(/.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
✓76.7%
(/.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))
✓53.1%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓48.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify61.0ms (1.8%)

Memory
-32.4MiB live, 60.7MiB allocated; 5ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 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 y y)
cost-diff0
(/.f64 x (+.f64 y y))
cost-diff0
(+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
cost-diff2
(/.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01250
02050
13750
27146
311846
416546
520846
633046
782046
8124246
9141946
10158146
11178946
12178946
0178946
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 x (+.f64 y y))
x
(+.f64 y y)
y
#s(literal 1/2 binary64)
(/.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 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) y)
(/.f64 x (+.f64 y y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 1/2 binary64)
(/.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 y x)
y
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize88.0ms (2.6%)

Memory
-6.9MiB live, 90.1MiB allocated; 6ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy0.01171875
(/.f64 (+.f64 y x) x)
accuracy7.6370510333334565
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
accuracy0.0
(/.f64 x (+.f64 y y))
accuracy0.0
(+.f64 y y)
accuracy0.00390625
(+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
accuracy9.454194292700523
(/.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
Samples
58.0ms256×0valid
Compiler

Compiled 52 to 14 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-add: 37.0ms (75.3% of total)
ival-div: 10.0ms (20.4% of total)
ival-mult: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
8 → 24
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(/.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)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ y x)
(/ (+ x y) x)
y
(+ x y)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
1
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ (* 1/2 x) (* 1/2 y)) 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
((/ (+ (/ x (+ y y)) 1/2) x) (+ (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
1.0ms
y
@-inf
((/ (+ (/ x (+ y y)) 1/2) x) (+ (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
1.0ms
x
@-inf
((/ (+ (/ x (+ y y)) 1/2) x) (+ (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
1.0ms
x
@inf
((/ (+ (/ x (+ y y)) 1/2) x) (+ (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
1.0ms
x
@0
((/ (+ (/ x (+ y y)) 1/2) x) (+ (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))

simplify187.0ms (5.4%)

Memory
9.5MiB live, 149.4MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045106
1138106
2292100
3868100
42264100
54712100
0826896
Stop Event
1×iter limit
1×node limit
Counts
24 → 22
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ y x)
(/ (+ x y) x)
y
(+ x y)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
1
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ (* 1/2 x) (* 1/2 y)) 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 y x) x)
y
(+ x y)
(+.f64 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 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(/.f64 (+.f64 y x) x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* -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))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ (/ 1 x) (/ 1 y)))
(/.f64 (+.f64 y x) x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite53.0ms (1.5%)

Memory
0.6MiB live, 43.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
02044
18144
053142
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
8 → 101
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(/.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 (*.f64 (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) x))
(/.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)) x)
(neg.f64 (/.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64)) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)) (neg.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))))
(+.f64 (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))) (pow.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 x (*.f64 #s(literal -2 binary64) y))
(neg.f64 (*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.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 y x) x) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 y x) 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 y x) x) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 y x) x) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 (+.f64 y x) x) #s(literal 2 binary64)) y)
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 (*.f64 y x) #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 y x) #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 y x) (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 y x) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 y x) x) #s(literal 2 binary64)) y))
(+.f64 (/.f64 (/.f64 y x) (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 y (*.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))))
(+.f64 (/.f64 x (*.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 y (*.f64 (*.f64 y x) #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 y x))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 y x (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 y x) (-.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 y x)) (neg.f64 x))
(/.f64 (+.f64 y x) x)
(neg.f64 (/.f64 (+.f64 y x) (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 y x) (-.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 y x) (-.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 y x))))
(/.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 y x)
(+.f64 x y)
(*.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)

eval9.0ms (0.3%)

Memory
25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 464 to 332 computations (77.3% saved)

prune9.0ms (0.3%)

Memory
-25.5MiB live, 17.8MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New96096
Fresh000
Picked022
Done044
Total966102
Accuracy
100.0%
Counts
102 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓88.1%
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
✓85.2%
(/.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
✓76.7%
(/.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))
✓53.1%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓48.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 138 to 78 computations (43.5% saved)

regimes9.0ms (0.3%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
8 → 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 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(/.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:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
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 (0.2%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
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
89.9%5(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
89.5%3x
91.0%3y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes15.0ms (0.4%)

Memory
-35.0MiB live, 10.5MiB allocated; 5ms collecting garbage
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:

12.0ms
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
62.3%6(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
83.0%2x
84.3%2y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
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:

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

Compiled 11 to 11 computations (0% saved)

bsearch83.0ms (2.4%)

Memory
-25.3MiB live, 81.0MiB allocated; 26ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
62.0ms
5.624523329228191e+110
4.583998361600822e+111
13.0ms
6.742635988137341e-211
2.1353974109228342e-202
Samples
30.0ms240×0valid
Compiler

Compiled 342 to 282 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (43.1% of total)
ival-div: 2.0ms (28.7% of total)
ival-add: 1.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.4%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.046565004265118e-121
9.691616331813722e-119
Samples
7.0ms128×0valid
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 (57.3% of total)
ival-div: 1.0ms (28.7% of total)
ival-add: 1.0ms (28.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify49.0ms (1.4%)

Memory
5.9MiB live, 92.4MiB allocated; 19ms collecting garbage
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 4633147901005669/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 4500000000000000005937761504973491137356255101058213012082831941239168916830152430025842481198497013854065655808 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 8722064691547283/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 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 4633147901005669/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 4500000000000000005937761504973491137356255101058213012082831941239168916830152430025842481198497013854065655808 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 8722064691547283/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 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))

derivations301.0ms (8.7%)

Memory
-13.0MiB live, 364.5MiB allocated; 83ms collecting garbage
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 93 to 26 computations (72% saved)

preprocess94.0ms (2.7%)

Memory
26.7MiB live, 169.5MiB allocated; 14ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 232 to 90 computations (61.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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