Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.3%)

Memory
8.8MiB live, 8.8MiB 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
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample859.0ms (27.4%)

Memory
-135.5MiB live, 697.2MiB allocated
Samples
491.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-add: 136.0ms (65.4% of total)
ival-div: 63.0ms (30.3% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain61.0ms (1.9%)

Memory
-11.4MiB live, 149.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 y y)
00-0-(/.f64 (+.f64 x y) (+.f64 y y))
00-0-y
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 8.0ms (66.4% of total)
ival-div: 4.0ms (33.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess249.0ms (8%)

Memory
-7.4MiB live, 74.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
14235
210635
331535
4126335
5238135
6324535
7408135
8461435
9473635
10476835
11484435
12498235
057
087
1117
2147
3167
0167
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

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

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-384
(/.f64 (+.f64 x y) (+.f64 y y))
cost-diff-128
(+.f64 y y)
cost-diff0
(+.f64 x y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11115
21415
31615
01615
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)

localize22.0ms (0.7%)

Memory
-15.8MiB live, 59.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 (+.f64 x y) (+.f64 y y))
accuracy0.0
(+.f64 y y)
accuracy0.0
(+.f64 x y)
Samples
15.0ms256×0valid
Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (45.8% of total)
ival-add: 2.0ms (45.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
3 → 13
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 y y)
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
y
(+ x y)
1/2
(+ 1/2 (* 1/2 (/ x y)))
x
(* x (+ 1 (/ y x)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* 2 y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify93.0ms (3%)

Memory
-28.8MiB live, 95.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03447
19547
219547
354547
4243947
5541747
6665647
7761247
0803744
Stop Event
iter limit
node limit
Counts
13 → 11
Calls
Call 1
Inputs
y
(+ x y)
1/2
(+ 1/2 (* 1/2 (/ x y)))
x
(* x (+ 1 (/ y x)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* 2 y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
y
(+ x y)
(+.f64 y x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite59.0ms (1.9%)

Memory
18.3MiB live, 100.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13813
030513
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
3 → 61
Calls
Call 1
Inputs
(+.f64 x y)
(+.f64 y y)
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.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 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.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 y x))))
(/.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 y x)
(+.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.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 -1 binary64) (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))
(/.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 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
(*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 y x))
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) y)
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal -2 binary64) y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(literal -2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))

eval6.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated
Compiler

Compiled 801 to 172 computations (78.5% saved)

prune3.0ms (0.1%)

Memory
-31.7MiB live, 7.1MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New62466
Fresh000
Picked011
Done000
Total62567
Accuracy
100.0%
Counts
67 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
1.2%
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
4.0%
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
53.0%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
47.3%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify106.0ms (3.4%)

Memory
26.7MiB live, 65.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -2 binary64) y)
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
cost-diff0
(*.f64 #s(literal -2 binary64) y)
cost-diff0
(+.f64 y x)
cost-diff0
(neg.f64 (+.f64 y x))
cost-diff128
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01671
02371
14471
210370
331370
454170
572870
6139270
7315870
8373970
9383770
10389870
11393170
12393170
13393170
0393168
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (+.f64 y x))
(+.f64 y x)
y
x
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(+.f64 y x)
y
x
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))
(neg.f64 (+.f64 y x))
(+.f64 y x)
y
x
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 (+.f64 y x) y) #s(literal -2 binary64))
(+.f64 y x)
y
x
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)

localize74.0ms (2.4%)

Memory
-25.2MiB live, 99.9MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
accuracy0.0
(*.f64 #s(literal -2 binary64) y)
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
accuracy0.0
(*.f64 #s(literal -2 binary64) y)
accuracy0.0
(neg.f64 (+.f64 y x))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy0.22265625
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy29.956821613662925
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy33.728770492622346
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Samples
43.0ms256×0valid
Compiler

Compiled 136 to 32 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (43.7% of total)
ival-div: 10.0ms (36.4% of total)
ival-add: 4.0ms (14.6% of total)
ival-neg: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory
27.5MiB live, 27.5MiB allocated
Counts
9 → 36
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (+.f64 y x))
(+.f64 y x)
(*.f64 #s(literal -2 binary64) y)
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
Outputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* -1 y)
(- (* -1 x) y)
y
(+ x y)
(* -2 (pow y 2))
(+ (* -2 (* x y)) (* -2 (pow y 2)))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
x
(* x (+ 1 (/ y x)))
(* -2 (* x y))
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ 1/2 y)
(* y (+ (* 2 x) (* 2 y)))
(- (* -1 y) x)
(* -2 y)
(* y (+ (* -2 x) (* -2 y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* y (- (* -1 (/ x y)) 1))
(* y (+ 1 (/ x y)))
(* (pow y 2) (- (* -2 (/ x y)) 2))
(* -1 (* y (+ 1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))
2.0ms
y
@-inf
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))
2.0ms
y
@inf
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))
2.0ms
y
@0
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))
1.0ms
x
@inf
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) (* (neg (+ y x)) (* -2 y)) (neg (+ y x)) (+ y x) (* -2 y) (* (+ y x) (* -2 y)))

simplify117.0ms (3.7%)

Memory
-31.3MiB live, 129.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072188
1221168
2563168
31641168
44414168
56644168
08131165
Stop Event
iter limit
node limit
Counts
36 → 34
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* -1 y)
(- (* -1 x) y)
y
(+ x y)
(* -2 (pow y 2))
(+ (* -2 (* x y)) (* -2 (pow y 2)))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
x
(* x (+ 1 (/ y x)))
(* -2 (* x y))
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ 1/2 y)
(* y (+ (* 2 x) (* 2 y)))
(- (* -1 y) x)
(* -2 y)
(* y (+ (* -2 x) (* -2 y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* y (- (* -1 (/ x y)) 1))
(* y (+ 1 (/ x y)))
(* (pow y 2) (- (* -2 (/ x y)) 2))
(* -1 (* y (+ 1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 2 (pow y 2))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(*.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))
(* -1 y)
(neg.f64 y)
(- (* -1 x) y)
(-.f64 (neg.f64 x) y)
y
(+ x y)
(+.f64 y x)
(* -2 (pow y 2))
(*.f64 (*.f64 #s(literal -2 binary64) y) y)
(+ (* -2 (* x y)) (* -2 (pow y 2)))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(*.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (/ y x)) 1))
(-.f64 (neg.f64 x) y)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -2 (* x y))
(*.f64 (*.f64 #s(literal -2 binary64) x) y)
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) y)
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(*.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))
(* -1 (* x (+ 1 (/ y x))))
(-.f64 (neg.f64 x) y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(* y (+ (* 2 x) (* 2 y)))
(*.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))
(- (* -1 y) x)
(-.f64 (neg.f64 x) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* y (+ (* -2 x) (* -2 y)))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) y)
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))
(* y (- (* -1 (/ x y)) 1))
(-.f64 (neg.f64 x) y)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* (pow y 2) (- (* -2 (/ x y)) 2))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) y)
(* -1 (* y (+ 1 (/ x y))))
(-.f64 (neg.f64 x) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite64.0ms (2%)

Memory
25.8MiB live, 100.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01655
02356
18954
063154
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
9 → 268
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (+.f64 y x))
(+.f64 y x)
(*.f64 #s(literal -2 binary64) y)
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 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 -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.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)))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.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)
(/.f64 y #s(literal 1/2 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
(*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (+.f64 y x) y) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (+.f64 y x))
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) y) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 y x))) y)
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) y)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (+.f64 y x)))
(*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 y x))
(*.f64 #s(literal -2 binary64) (*.f64 y (+.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 y (neg.f64 (+.f64 y x))))
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 y x))))
(*.f64 y (*.f64 #s(literal -2 binary64) (+.f64 y x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) y)
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (+.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 #s(literal 2 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(+.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y)) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (+.f64 y x))
(*.f64 (+.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 #s(literal -1 binary64) (+.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 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (+.f64 y x))) (+.f64 #s(literal 0 binary64) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 #s(literal 0 binary64) (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 y) (neg.f64 y) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (neg.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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(neg.f64 (+.f64 y x))
(fma.f64 #s(literal -1 binary64) y (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (*.f64 y #s(literal -1 binary64)))
(-.f64 (neg.f64 x) y)
(-.f64 #s(literal 0 binary64) (+.f64 y x))
(-.f64 (neg.f64 y) x)
(+.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64)))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x)))
(+.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 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 y x)
(+.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 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 -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.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)))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.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)
(/.f64 y #s(literal 1/2 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
(*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (*.f64 (+.f64 y x) y) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (+.f64 y x))
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) y) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 y x))) y)
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 y x)) y)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (+.f64 y x)))
(*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 y x))
(*.f64 #s(literal -2 binary64) (*.f64 y (+.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 y (neg.f64 (+.f64 y x))))
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 y x))))
(*.f64 y (*.f64 #s(literal -2 binary64) (+.f64 y x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) y)
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (+.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 #s(literal 2 binary64) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(+.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y)) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x)))

eval128.0ms (4.1%)

Memory
-16.5MiB live, 68.8MiB allocated
Compiler

Compiled 2 939 to 509 computations (82.7% saved)

prune6.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1994203
Fresh000
Picked224
Done011
Total2017208
Accuracy
100.0%
Counts
208 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
53.2%
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
53.0%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
3.6%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
47.3%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
1.9%
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
3.1%
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
Compiler

Compiled 82 to 59 computations (28% saved)

simplify136.0ms (4.3%)

Memory
0.9MiB live, 78.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff0
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
cost-diff-128
(+.f64 y y)
cost-diff0
(*.f64 (+.f64 y y) x)
cost-diff0
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
cost-diff0
(*.f64 #s(literal -2 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) y) y)
cost-diff0
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
cost-diff0
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02594
03494
16294
213293
333093
453093
574593
6144993
7307593
8355193
9365393
10372693
11375993
12375993
13375993
0375991
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) y)
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
(*.f64 (+.f64 y y) x)
(+.f64 y y)
y
x
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
Outputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) y)
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(*.f64 (+.f64 y y) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y
x
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y

localize106.0ms (3.4%)

Memory
2.5MiB live, 119.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy29.956821613662925
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy0.0
(+.f64 y y)
accuracy0.0
(*.f64 (+.f64 y y) x)
accuracy61.670852608248964
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
accuracy0.0
(*.f64 (*.f64 #s(literal -2 binary64) y) y)
accuracy0.0
(*.f64 #s(literal -2 binary64) y)
accuracy26.36268212742194
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
accuracy0.0
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy26.36268212742194
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
Samples
95.0ms256×0valid
Compiler

Compiled 166 to 47 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 32.0ms (78.6% of total)
ival-div: 3.0ms (7.4% of total)
ival-add: 3.0ms (7.4% of total)
ival-neg: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.9%)

Memory
-17.7MiB live, 21.1MiB allocated
Counts
12 → 22
Calls
Call 1
Inputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 #s(literal 2 binary64) y)
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) y)
(*.f64 #s(literal -2 binary64) y)
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
(*.f64 (+.f64 y y) x)
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* -2 (pow y 2))
(+ (* -2 (* x y)) (* -2 (pow y 2)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 2 (* x y))
(* 1/2 (/ x y))
(* 1/2 x)
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -2 (* x y))
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(* y (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ (* -2 x) (* -2 y)))
(* -2 y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (- (* -2 (/ x y)) 2))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
x
@inf
((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms
y
@-inf
((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms
y
@inf
((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms
y
@0
((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))
2.0ms
x
@-inf
((* (neg (+ y x)) (* -2 y)) (* (* 2 y) y) (* 2 y) (* (+ y x) (* -2 y)) (* (* -2 y) y) (* -2 y) (/ (+ x y) (+ y y)) (* (+ y y) x) (+ y y) (/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x))

simplify119.0ms (3.8%)

Memory
6.4MiB live, 93.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051146
1155126
2372126
3825126
42490126
54361126
66170126
77249126
08045123
Stop Event
iter limit
node limit
Counts
22 → 22
Calls
Call 1
Inputs
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* -2 (pow y 2))
(+ (* -2 (* x y)) (* -2 (pow y 2)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 2 (* x y))
(* 1/2 (/ x y))
(* 1/2 x)
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -2 (* x y))
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(* y (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ (* -2 x) (* -2 y)))
(* -2 y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (- (* -2 (/ x y)) 2))
Outputs
(* 2 (pow y 2))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(* -2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -2 binary64))
(+ (* -2 (* x y)) (* -2 (pow y 2)))
(*.f64 (*.f64 (+.f64 x y) #s(literal -2 binary64)) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(* -2 (* x y))
(*.f64 (*.f64 #s(literal -2 binary64) x) y)
(* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))
(*.f64 (*.f64 (+.f64 x y) #s(literal -2 binary64)) y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(* -1 (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))))
(*.f64 (*.f64 (+.f64 x y) #s(literal -2 binary64)) y)
(* y (+ (* 2 x) (* 2 y)))
(*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ (* -2 x) (* -2 y)))
(*.f64 (*.f64 (+.f64 x y) #s(literal -2 binary64)) y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(* (pow y 2) (- (* -2 (/ x y)) 2))
(*.f64 (*.f64 (+.f64 x y) #s(literal -2 binary64)) y)

rewrite41.0ms (1.3%)

Memory
-2.5MiB live, 36.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02585
03482
110576
066976
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
12 → 271
Calls
Call 1
Inputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 #s(literal 2 binary64) y)
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) y)
(*.f64 #s(literal -2 binary64) y)
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
(*.f64 (+.f64 y y) x)
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
Outputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal -2 binary64))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -2 binary64) (*.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 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 -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.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)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 y y) (*.f64 y y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal -2 binary64))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -2 binary64) (*.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 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 -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.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)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 y y) (*.f64 y y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal -2 binary64))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -2 binary64) (*.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 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 -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.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)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 y y) (*.f64 y y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal -2 binary64))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -2 binary64) (*.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 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 -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.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)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 y y) (*.f64 y y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 0 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 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
(fma.f64 x y (*.f64 x y))
(fma.f64 y x (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal -2 binary64))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -2 binary64) (*.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 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 -1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.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)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 y y) (*.f64 y y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 0 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 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
(fma.f64 x y (*.f64 x y))
(fma.f64 y x (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

eval24.0ms (0.8%)

Memory
-16.8MiB live, 22.3MiB allocated
Compiler

Compiled 1 302 to 237 computations (81.8% saved)

prune5.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New84387
Fresh000
Picked044
Done033
Total841094
Accuracy
100.0%
Counts
94 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
53.2%
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
53.0%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
3.6%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
47.3%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
1.9%
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
3.2%
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
2.8%
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
3.1%
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
2.9%
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
Compiler

Compiled 118 to 88 computations (25.4% saved)

simplify80.0ms (2.5%)

Memory
-14.0MiB live, 67.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff-128
(+.f64 y y)
cost-diff0
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
cost-diff0
(*.f64 y #s(literal -2 binary64))
cost-diff0
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01450
01750
13350
27447
323347
441747
565747
6110647
7162547
8178947
9180247
10181247
11181347
12181347
0181347
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
(+.f64 y y)
y
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
Outputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal -2 binary64) y))
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) y)
y
#s(literal -2 binary64)
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y

localize31.0ms (1%)

Memory
-1.8MiB live, 37.0MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy62.525589439284786
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy0.0
(+.f64 y y)
accuracy61.40279538852306
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
accuracy0.0
(*.f64 y #s(literal -2 binary64))
accuracy61.171098833772106
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
Samples
24.0ms256×0valid
Compiler

Compiled 90 to 28 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.1% of total)
ival-div: 2.0ms (19.5% of total)
ival-add: 2.0ms (19.5% of total)
ival-neg: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
6 → 10
Calls
Call 1
Inputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
Outputs
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* y (+ (* 2 x) (* 2 y)))
(* -2 y)
(* 2 y)
(/ 1/2 y)
(* (pow y 2) (+ 2 (* 2 (/ x y))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))
1.0ms
y
@-inf
((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))
1.0ms
y
@0
((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))
0.0ms
x
@inf
((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))
0.0ms
x
@-inf
((* (neg (+ y x)) (* -2 y)) (* y -2) (* (neg (+ y x)) (* -2 y)) (+ y y) (* (neg (+ y x)) (* -2 y)) (/ 1/2 y))

simplify157.0ms (5%)

Memory
12.9MiB live, 93.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02964
18754
221754
349654
4114854
5278754
6637454
0807654
Stop Event
iter limit
node limit
Counts
10 → 10
Calls
Call 1
Inputs
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* y (+ (* 2 x) (* 2 y)))
(* -2 y)
(* 2 y)
(/ 1/2 y)
(* (pow y 2) (+ 2 (* 2 (/ x y))))
Outputs
(* 2 (pow y 2))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(* y (+ (* 2 x) (* 2 y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) y))

rewrite40.0ms (1.3%)

Memory
-5.9MiB live, 33.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01445
01745
16045
033645
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 53
Calls
Call 1
Inputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
Outputs
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal -2 binary64))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 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 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.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)
(/.f64 y #s(literal 1/2 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 y y)
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 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 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.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)
(/.f64 y #s(literal 1/2 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 y y)

eval3.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Compiler

Compiled 497 to 102 computations (79.5% saved)

prune5.0ms (0.2%)

Memory
9.3MiB live, 9.3MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New34034
Fresh000
Picked033
Done077
Total341044
Accuracy
100.0%
Counts
44 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
53.2%
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
53.0%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
3.6%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
47.3%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
1.9%
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
3.2%
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
2.8%
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
3.1%
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
2.9%
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
Compiler

Compiled 251 to 128 computations (49% saved)

regimes17.0ms (0.6%)

Memory
-14.9MiB live, 23.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
Calls

3 calls:

8.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes19.0ms (0.6%)

Memory
-18.8MiB live, 19.0MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
Outputs
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
Calls

3 calls:

11.0ms
x
4.0ms
y
3.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
75.7%3x
74.3%3y
97.0%3(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
Outputs
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
Calls

1 calls:

3.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
96.8%3(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes10.0ms (0.3%)

Memory
15.1MiB live, 15.1MiB allocated
Accuracy

Total -29.7b remaining (-88.2%)

Threshold costs -29.7b (-88.2%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (neg (+ y x)) (* -2 y)) (+.f64 y y))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 y #s(literal -2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (* (neg (+ y x)) (* -2 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
#s(approx (* (+ y x) (* -2 y)) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
#s(approx (* (neg (+ y x)) (* -2 y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
47.3%1y
47.3%1x
47.3%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5001695104710382
1.0602521599083596
0.0ms
-0.04114305251235875
0.3742299316786401
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5001695104710382
1.0602521599083596
0.0ms
-0.04114305251235875
0.3742299316786401
Compiler

Compiled 10 to 10 computations (0% saved)

simplify9.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024102
133102
236102
338102
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5764607523034235/144115188075855872 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5764607523034235/144115188075855872 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

soundness386.0ms (12.3%)

Memory
-28.7MiB live, 171.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01655
02356
18954
063154
03447
19547
219547
354547
4243947
5541747
6665647
7761247
0803744
Stop Event
done
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
Compiler

Compiled 128 to 52 computations (59.4% saved)

preprocess34.0ms (1.1%)

Memory
-3.0MiB live, 71.6MiB allocated
Compiler

Compiled 232 to 70 computations (69.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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