Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

Time bar (total: 6.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.4s (21%)

Memory
9.6MiB live, 1 386.2MiB allocated
Samples
828.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 515.0ms
ival-mult: 459.0ms (89.2% of total)
ival-sub: 40.0ms (7.8% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain127.0ms (1.9%)

Memory
-11.3MiB live, 133.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
150-0-(-.f64 (*.f64 x x) (*.f64 x y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
00-0-(*.f64 x x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 x y))nan-rescue150
↳(*.f64 x x)overflow60
↳(*.f64 x y)overflow35
Confusion
Predicted +Predicted -
+150
-0241
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1500
-00241
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0241
115
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (73.1% of total)
ival-sub: 2.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess264.0ms (4%)

Memory
39.3MiB live, 168.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01939
16735
222235
374335
4204535
5371435
6464535
7521335
8565935
9601935
10628535
11729635
079
0117
1247
2737
32547
46727
513667
626837
742067
853297
957257
1058067
1159237
1259267
1359267
1462127
1564927
1666927
066927
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.1%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify200.0ms (3.1%)

Memory
-10.4MiB live, 92.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01121
12421
27321
325421
467221
5136621
6268321
7420621
8532921
9572521
10580621
11592321
12592621
13592621
14621221
15649221
16669221
0669221
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x)
#s(literal 2 binary64)
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 (-.f64 x y) x)
(*.f64 x x)
x
(*.f64 x y)
(*.f64 y x)
y

localize45.0ms (0.7%)

Memory
-18.7MiB live, 26.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
accuracy3.351548050811441
(-.f64 (*.f64 x x) (*.f64 x y))
Samples
40.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sub: 28.0ms (84% of total)
ival-mult: 5.0ms (15% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
4 → 15
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)
Outputs
(* -1 (* x y))
(* x (- x y))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(pow x 2)
(* x y)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ (* -1 (* x y)) (pow x 2))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* y (- (/ (pow x 2) y) x))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Calls

6 calls:

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

simplify442.0ms (6.8%)

Memory
-11.2MiB live, 222.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04290
114080
244680
3153380
4424280
5679880
0807880
Stop Event
1×iter limit
1×node limit
Counts
15 → 15
Calls
Call 1
Inputs
(* -1 (* x y))
(* x (- x y))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(pow x 2)
(* x y)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ (* -1 (* x y)) (pow x 2))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* y (- (/ (pow x 2) y) x))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Outputs
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- x y))
(*.f64 (-.f64 x y) x)
(* -2 (* x y))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(* x (+ (* -2 y) (* 2 x)))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* x y)
(*.f64 y x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(* y (- (/ (pow x 2) y) x))
(*.f64 (-.f64 x y) x)
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(*.f64 (-.f64 x y) x)
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))

rewrite206.0ms (3.1%)

Memory
21.6MiB live, 226.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0722
01118
13818
231012
3459212
0821912
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 100
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)
Outputs
(*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)) (/.f64 (*.f64 (+.f64 y x) x) x))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (+.f64 y x) x) (+.f64 y x)))
(*.f64 (+.f64 y x) x)
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x))
(*.f64 (-.f64 x y) x)
(*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 (+.f64 y x) x) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) x)))
(*.f64 x (-.f64 x (neg.f64 y)))
(*.f64 x (+.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 (+.f64 y x)))
(*.f64 x (+.f64 y x))
(*.f64 x (-.f64 x y))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 x y)) x)
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))) #s(literal 2 binary64))) (*.f64 (+.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 (+.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) x))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) x) (-.f64 x y))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) x)) (*.f64 (*.f64 (+.f64 y x) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (+.f64 y x) x)))
(/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x))
(neg.f64 (*.f64 (+.f64 y x) x))
(fma.f64 (exp.f64 (log.f64 y)) x (*.f64 x x))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) x (*.f64 x x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))) (*.f64 (+.f64 y x) x) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (*.f64 (+.f64 y x) x)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 y x (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) x)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 y x)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 x (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 y x) x)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 x (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 x (neg.f64 y) (*.f64 x x))
(fma.f64 x y (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x x (*.f64 y x))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 y x) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) x))
(-.f64 (*.f64 x x) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 y x) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (*.f64 x x) (*.f64 y x))
#s(literal 0 binary64)
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) x)
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x))))

eval75.0ms (1.1%)

Memory
-29.3MiB live, 66.5MiB allocated
Compiler

Compiled 2 073 to 383 computations (81.5% saved)

prune7.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1025107
Fresh000
Picked011
Done000
Total1026108
Accuracy
100.0%
Counts
108 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.0%
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y)))
✓94.1%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
▶100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
▶57.2%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
▶56.8%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
▶11.1%
#s(literal 0 binary64)
Compiler

Compiled 107 to 87 computations (18.7% saved)

simplify351.0ms (5.4%)

Memory
2.0MiB live, 227.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y)))
cost-diff2
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
cost-diff2
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 2 binary64))
cost-diff0
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 y x))
cost-diff0
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 (-.f64 x y) x)
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024105
03591
16491
215791
344291
4134891
5498491
0905291
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
#s(literal 2 binary64)
(*.f64 (-.f64 x y) x)
(-.f64 x y)
x
y
#s(literal 0 binary64)
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
#s(literal -2 binary64)
(*.f64 y x)
y
x
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y)))
#s(literal 2 binary64)
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 x y)
y
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (-.f64 x y) x)
(-.f64 x y)
x
y
#s(literal 0 binary64)
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 #s(literal -2 binary64) y) x))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(*.f64 (*.f64 #s(literal -2 binary64) y) x)
#s(literal -2 binary64)
(*.f64 y x)
y
x
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y)))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y))
(*.f64 (-.f64 x y) x)
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 x y)
(*.f64 y x)
y

localize68.0ms (1%)

Memory
-10.7MiB live, 93.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y)))
accuracy3.351548050811441
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y))
accuracy11.369843285419416
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(*.f64 (*.f64 x x) #s(literal 2 binary64))
accuracy27.368778722371324
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
accuracy0.0
(*.f64 y x)
accuracy0.0
(*.f64 #s(literal -2 binary64) (*.f64 y x))
accuracy27.62706237217425
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
accuracy0.0
(-.f64 x y)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
accuracy0.015625
(*.f64 (-.f64 x y) x)
Samples
36.0ms256×0valid
Compiler

Compiled 95 to 22 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 13.0ms (56% of total)
ival-sub: 4.0ms (17.2% of total)
ival-pow: 4.0ms (17.2% of total)
ival-div: 2.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
30.1MiB live, 30.1MiB allocated
Counts
14 → 27
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
(*.f64 (-.f64 x y) x)
(-.f64 x y)
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(*.f64 y x)
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x y)
Outputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* -1 (* x y))
(* x (+ x (* -1 y)))
(* -1 y)
(- x y)
(* x y)
(* 2 (pow x 2))
(pow x 2)
(* x (- x y))
(pow x 3)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ (* -1 (* x y)) (pow x 2))
(+ x (* -1 y))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* y (- (/ x y) 1))
(* y (- (/ (pow x 2) y) x))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@0
((* 2 (* (- x y) x)) (* (- x y) x) (- x y) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (- (/ (pow x 3) x) (* x y)) (/ (pow x 3) x) (* 2 (- (/ (pow x 3) x) (* x y))) (pow x 3) (* x y))
2.0ms
x
@-inf
((* 2 (* (- x y) x)) (* (- x y) x) (- x y) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (- (/ (pow x 3) x) (* x y)) (/ (pow x 3) x) (* 2 (- (/ (pow x 3) x) (* x y))) (pow x 3) (* x y))
2.0ms
x
@inf
((* 2 (* (- x y) x)) (* (- x y) x) (- x y) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (- (/ (pow x 3) x) (* x y)) (/ (pow x 3) x) (* 2 (- (/ (pow x 3) x) (* x y))) (pow x 3) (* x y))
2.0ms
y
@-inf
((* 2 (* (- x y) x)) (* (- x y) x) (- x y) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (- (/ (pow x 3) x) (* x y)) (/ (pow x 3) x) (* 2 (- (/ (pow x 3) x) (* x y))) (pow x 3) (* x y))
2.0ms
y
@inf
((* 2 (* (- x y) x)) (* (- x y) x) (- x y) (* 2 (- (* x x) (* x y))) (* -2 (* y x)) (* y x) (* 2 (- (* x x) (* x y))) (* (* x x) 2) (* x x) (- (/ (pow x 3) x) (* x y)) (/ (pow x 3) x) (* 2 (- (/ (pow x 3) x) (* x y))) (pow x 3) (* x y))

simplify250.0ms (3.8%)

Memory
-26.0MiB live, 365.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063143
1218119
2654119
32058119
44979119
57258119
08065119
Stop Event
1×iter limit
1×node limit
Counts
27 → 26
Calls
Call 1
Inputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* -1 (* x y))
(* x (+ x (* -1 y)))
(* -1 y)
(- x y)
(* x y)
(* 2 (pow x 2))
(pow x 2)
(* x (- x y))
(pow x 3)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ (* -1 (* x y)) (pow x 2))
(+ x (* -1 y))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* y (- (/ x y) 1))
(* y (- (/ (pow x 2) y) x))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
Outputs
(* -2 (* x y))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(* x (+ (* -2 y) (* 2 x)))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ x (* -1 y)))
(*.f64 (-.f64 x y) x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* x y)
(*.f64 y x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* x (- x y))
(*.f64 (-.f64 x y) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
(+ x (* -1 y))
(-.f64 x y)
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(*.f64 (-.f64 x y) x)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ (pow x 2) y) x))
(*.f64 (-.f64 x y) x)
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))
(*.f64 (-.f64 x y) x)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(*.f64 (-.f64 x y) x)

rewrite150.0ms (2.3%)

Memory
23.6MiB live, 211.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02392
03478
110278
268254
01012354
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 450
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
(*.f64 (-.f64 x y) x)
(-.f64 x y)
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(*.f64 y x)
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x y)
Outputs
#s(literal 0 binary64)
(*.f64 (/.f64 (*.f64 (-.f64 x y) x) (neg.f64 x)) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)) (/.f64 (*.f64 (-.f64 x y) x) x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) x) x) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) x) x) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)))
(*.f64 (neg.f64 (-.f64 x y)) x)
(*.f64 (neg.f64 x) (+.f64 y (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (+.f64 y x))
(*.f64 (neg.f64 x) (-.f64 x y))
(*.f64 (-.f64 x y) x)
(*.f64 x (-.f64 (/.f64 (*.f64 x x) x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 x x) x)))
(*.f64 x (+.f64 (/.f64 (*.f64 x x) x) y))
(*.f64 x (-.f64 x (neg.f64 y)))
(*.f64 x (+.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 (+.f64 y x)))
(*.f64 x (+.f64 y x))
(*.f64 x (-.f64 x y))
(/.f64 (*.f64 x (fma.f64 x x (*.f64 y y))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 x x (*.f64 y y))) (neg.f64 (+.f64 y x)))
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(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) x) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) x) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) x) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) x) (*.f64 y x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y x))
(fma.f64 (neg.f64 x) y (*.f64 x x))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) x (*.f64 y x))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 y x))
(fma.f64 (*.f64 x x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x)))
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(fma.f64 y x (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 x (fabs.f64 (/.f64 (*.f64 x x) x)) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x (fabs.f64 (/.f64 (*.f64 x x) x)) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 x (fabs.f64 (/.f64 (*.f64 x x) x)) (*.f64 (neg.f64 x) y))
(fma.f64 x (fabs.f64 (/.f64 (*.f64 x x) x)) (*.f64 y x))
(fma.f64 x (/.f64 (*.f64 x x) x) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x (/.f64 (*.f64 x x) x) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 x (/.f64 (*.f64 x x) x) (*.f64 (neg.f64 x) y))
(fma.f64 x (/.f64 (*.f64 x x) x) (*.f64 y x))
(fma.f64 x (neg.f64 y) (*.f64 x x))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 x) y))
(fma.f64 x (neg.f64 x) (*.f64 y x))
(fma.f64 x y (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 x x (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 x x (*.f64 (neg.f64 x) y))
(fma.f64 x x (*.f64 y x))
(-.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 (neg.f64 x) y) (*.f64 x x))
(-.f64 (*.f64 y x) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 x x) (*.f64 y x))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 x x))
(+.f64 (*.f64 y x) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) y))
(+.f64 (*.f64 x x) (*.f64 y x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fabs.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (*.f64 x x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x (fabs.f64 (/.f64 (*.f64 x x) x)))
(*.f64 x (/.f64 (*.f64 x x) x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x) (/.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 x)) (/.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 x)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 0 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 (/.f64 (*.f64 x x) x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))

eval61.0ms (0.9%)

Memory
13.1MiB live, 57.9MiB allocated
Compiler

Compiled 5 280 to 940 computations (82.2% saved)

prune26.0ms (0.4%)

Memory
-17.0MiB live, 26.1MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2872289
Fresh000
Picked235
Done101
Total2905295
Accuracy
100.0%
Counts
295 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.9%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 x) y)))
✓100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
▶57.2%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
✓56.8%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
✓11.1%
#s(literal 0 binary64)
Compiler

Compiled 47 to 38 computations (19.1% saved)

simplify170.0ms (2.6%)

Memory
-13.4MiB live, 85.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
02044
14544
213744
341644
4110544
5227044
6388344
7529844
8582844
9592444
10609644
11610044
12610044
13645344
14679844
15701844
16701844
0701844
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 x) y)))
#s(literal 2 binary64)
(fma.f64 x x (*.f64 (neg.f64 x) y))
x
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 x) y)))
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x)
#s(literal 2 binary64)
(fma.f64 x x (*.f64 (neg.f64 x) y))
(*.f64 (-.f64 x y) x)
x
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y

localize51.0ms (0.8%)

Memory
8.2MiB live, 53.6MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 x) y)))
accuracy1.999977980844482
(fma.f64 x x (*.f64 (neg.f64 x) y))
accuracy0.0
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy27.368778722371324
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
Samples
44.0ms256×0valid
Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 32.0ms (88.7% of total)
ival-sub: 1.0ms (2.8% of total)
ival-add: 1.0ms (2.8% of total)
ival-neg: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
7 → 16
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 x x (*.f64 (neg.f64 x) y))
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 x) y)))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
Outputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(* -1 (* x y))
(* x (+ x (* -1 y)))
(* -1 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ (* -1 (* x y)) (pow x 2))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))
Calls

6 calls:

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

simplify245.0ms (3.7%)

Memory
-30.9MiB live, 307.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04397
116182
248582
3175582
4493482
5733382
0917482
Stop Event
1×iter limit
1×node limit
Counts
16 → 16
Calls
Call 1
Inputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(* -1 (* x y))
(* x (+ x (* -1 y)))
(* -1 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(+ (* -1 (* x y)) (pow x 2))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* -1 x) (/ (pow x 2) y)))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))
Outputs
(* -2 (* x y))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(* x (+ (* -2 y) (* 2 x)))
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ x (* -1 y)))
(*.f64 (-.f64 x y) x)
(* -1 x)
(neg.f64 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 x y) x)
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x)
(+ (* -1 (* x y)) (pow x 2))
(*.f64 (-.f64 x y) x)
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x)
(* y (+ (* -1 x) (/ (pow x 2) y)))
(*.f64 (-.f64 x y) x)
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x)
(* -1 (* y (+ x (* -1 (/ (pow x 2) y)))))
(*.f64 (-.f64 x y) x)

rewrite143.0ms (2.2%)

Memory
20.0MiB live, 208.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01445
02039
16939
261727
0826627
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 180
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 x x (*.f64 (neg.f64 x) y))
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 x) y)))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x))
(neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(neg.f64 (*.f64 x (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(neg.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(+.f64 x x)
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))) (*.f64 (+.f64 y x) x))
(*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)) (/.f64 (*.f64 (+.f64 y x) x) x))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (neg.f64 x)) (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (neg.f64 x)) (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (+.f64 y x) x) (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (+.f64 y x) x) (-.f64 x y)))
(*.f64 (-.f64 (neg.f64 x) y) (neg.f64 x))
(*.f64 (+.f64 (neg.f64 x) y) (neg.f64 x))
(*.f64 (+.f64 y x) x)
(*.f64 (-.f64 x y) (neg.f64 x))
(*.f64 (-.f64 x y) x)
(*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 (+.f64 y x) x) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (neg.f64 x) (-.f64 y x))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (neg.f64 x) (-.f64 y (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (+.f64 y x))
(*.f64 (neg.f64 x) (-.f64 x y))
(*.f64 x (-.f64 (neg.f64 y) (neg.f64 x)))
(*.f64 x (-.f64 x (neg.f64 y)))
(*.f64 x (-.f64 (neg.f64 y) x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (+.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 (+.f64 y x)))
(*.f64 x (-.f64 (neg.f64 x) y))
(*.f64 x (+.f64 y x))
(*.f64 x (-.f64 x y))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 x y)) x)
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 y x))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))) (*.f64 (+.f64 y x) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (+.f64 y x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 y x)) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (neg.f64 x)) (-.f64 (neg.f64 x) y))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (neg.f64 x)) (+.f64 (neg.f64 x) y))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) x) (+.f64 y x))
(/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) x) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) x)) (*.f64 (*.f64 (+.f64 y x) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (*.f64 x x)))
(/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) x))
(neg.f64 (*.f64 x (+.f64 (neg.f64 x) y)))
(neg.f64 (fma.f64 y x (*.f64 (neg.f64 x) x)))
(neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y x)))
(neg.f64 (*.f64 (+.f64 y x) x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))) (*.f64 (+.f64 y x) x) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (neg.f64 (neg.f64 y)) x (*.f64 x x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (neg.f64 x) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 x)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (/.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 x) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y x))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 y) x (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 y x) x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (*.f64 (+.f64 y x) x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (neg.f64 x) (*.f64 (+.f64 y x) x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 (neg.f64 x) y) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 y x) x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y x))
(fma.f64 (neg.f64 x) y (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) y (*.f64 x x))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) y))
(fma.f64 (*.f64 y x) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 y (neg.f64 x) (*.f64 (neg.f64 x) x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(fma.f64 y x (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 y x) x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(fma.f64 x (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 x (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 y) (*.f64 x x))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 x) y))
(fma.f64 x y (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))
(fma.f64 x x (*.f64 (neg.f64 x) y))
(fma.f64 x x (*.f64 y x))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 (neg.f64 x) y) (*.f64 x x))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 x x) (*.f64 y x))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) y))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (+.f64 y x)))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 x x))
(+.f64 (*.f64 y x) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) y))
(+.f64 (*.f64 x x) (*.f64 y x))
#s(literal 0 binary64)
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 y x))
(neg.f64 x)

eval24.0ms (0.4%)

Memory
4.1MiB live, 47.5MiB allocated
Compiler

Compiled 4 050 to 586 computations (85.5% saved)

prune4.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1871188
Fresh000
Picked112
Done033
Total1885193
Accuracy
100.0%
Counts
193 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓96.9%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 x) y)))
✓100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
▶57.2%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
✓56.8%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
✓11.1%
#s(literal 0 binary64)
Compiler

Compiled 47 to 37 computations (21.3% saved)

simplify153.0ms (2.3%)

Memory
-0.6MiB live, 87.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
01222
12722
27822
327322
471722
5144822
6287722
7455622
8555422
9597622
10602922
11606422
12608122
13608122
14635322
15662322
16682322
0682322
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
x
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (+.f64 x x) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
x

localize34.0ms (0.5%)

Memory
-30.9MiB live, 73.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 (+.f64 x x) x)
accuracy27.368778722371324
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
Samples
26.0ms256×0valid
Compiler

Compiled 20 to 11 computations (45% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 8.0ms (41.2% of total)
ival-mult: 6.0ms (30.9% of total)
ival-add: 4.0ms (20.6% 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
11.1MiB live, 11.1MiB allocated
Counts
3 → 8
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
Outputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Calls

6 calls:

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

simplify209.0ms (3.2%)

Memory
-6.4MiB live, 234.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02758
19148
229648
398448
4381648
5772648
0908248
Stop Event
1×iter limit
1×node limit
Counts
8 → 8
Calls
Call 1
Inputs
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Outputs
(* -2 (* x y))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(* x (+ (* -2 y) (* 2 x)))
(*.f64 (*.f64 (-.f64 y x) x) #s(literal -2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(*.f64 (*.f64 (-.f64 y x) x) #s(literal -2 binary64))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (-.f64 y x) x) #s(literal -2 binary64))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (-.f64 y x) x) #s(literal -2 binary64))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(*.f64 (*.f64 (-.f64 y x) x) #s(literal -2 binary64))

rewrite54.0ms (0.8%)

Memory
-1.7MiB live, 45.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
01219
14817
042217
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
3 → 45
Calls
Call 1
Inputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 x x)

eval3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Compiler

Compiled 480 to 88 computations (81.7% saved)

prune4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New26127
Fresh000
Picked011
Done044
Total26632
Accuracy
100.0%
Counts
32 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓96.9%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 x) y)))
✓100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
4.2%
#s(approx (* 2 (- (* x x) (* x y))) (+.f64 x x))
✓57.2%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
✓56.8%
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
✓11.1%
#s(literal 0 binary64)
Compiler

Compiled 170 to 84 computations (50.6% saved)

regimes13.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (* 2 (- (* x x) (* x y))) (+.f64 x x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x y)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
Calls

4 calls:

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

Compiled 18 to 16 computations (11.1% saved)

regimes45.0ms (0.7%)

Memory
-34.9MiB live, 17.7MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (* 2 (- (* x x) (* x y))) (+.f64 x x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
Calls

4 calls:

36.0ms
x
4.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
2.0ms
y
Results
AccuracySegmentsBranch
78.3%2(-.f64 (*.f64 x x) (*.f64 x y))
78.3%2(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
79.3%3x
85.8%3y
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (* 2 (- (* x x) (* x y))) (+.f64 x x))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
Outputs
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
y
2.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
57.2%1x
57.2%1(-.f64 (*.f64 x x) (*.f64 x y))
57.2%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
57.2%1y
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Accuracy

Total -5.4b remaining (-9.6%)

Threshold costs -5.4b (-9.6%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (* 2 (- (* x x) (* x y))) (+.f64 x x))
Outputs
#s(literal 0 binary64)
Calls

4 calls:

1.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
1.0ms
y
1.0ms
x
1.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
11.1%1y
11.1%1x
11.1%1(-.f64 (*.f64 x x) (*.f64 x y))
11.1%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch53.0ms (0.8%)

Memory
-14.6MiB live, 32.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
44139786644579.78
846952723938671.5
42.0ms
-2.553101255923864e+26
-5.0161524619665536e+23
Samples
42.0ms240×0valid
Compiler

Compiled 462 to 357 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (67.6% of total)
ival-sub: 1.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify54.0ms (0.8%)

Memory
-8.8MiB live, 37.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02456
14256
29356
327256
469756
5142856
6290156
7600556
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
(if (<=.f64 y #s(literal -11499999999999999001755648 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (if (<=.f64 y #s(literal 560000000000000 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x y) x))
(if (<=.f64 y #s(literal -11499999999999999001755648 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (if (<=.f64 y #s(literal 560000000000000 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
(if (or (<=.f64 y #s(literal -11499999999999999001755648 binary64)) (not (<=.f64 y #s(literal 560000000000000 binary64)))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x))) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x)))
#s(approx (* 2 (- (* x x) (* x y))) (*.f64 (+.f64 x x) x))
#s(literal 0 binary64)

soundness1.6s (23.9%)

Memory
16.4MiB live, 291.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04290
114080
244680
3153380
4424280
5679880
0807880
0722
01118
13818
231012
3459212
0821912
01445
02039
16939
261727
0826627
02392
03478
110278
268254
01012354
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 162 to 102 computations (37% saved)

preprocess29.0ms (0.4%)

Memory
33.3MiB live, 33.3MiB allocated
Compiler

Compiled 156 to 78 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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