Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

Time bar (total: 2.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
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)

sample680.0ms (25.7%)

Memory
11.8MiB live, 955.5MiB allocated
Samples
457.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 267.0ms
ival-mult: 185.0ms (69.4% of total)
ival-add: 69.0ms (25.9% of total)
ival-true: 5.0ms (1.9% of total)
exact: 4.0ms (1.5% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain74.0ms (2.8%)

Memory
17.4MiB live, 100.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(+.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-rescue170
(*.f64 x x)overflow67
(*.f64 x y)overflow37
Confusion
Predicted +Predicted -
+170
-0239
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1700
-00239
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0239
117
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms512×0valid
Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 10.0ms (77% of total)
ival-add: 2.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess45.0ms (1.7%)

Memory
-9.3MiB live, 27.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01939
17135
222035
363835
4100035
5121935
6160035
7162035
8162035
079
0117
1227
2407
3637
4637
0637
Stop Event
iter limit
saturated
iter limit
saturated
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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.3%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
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-diff320
(+.f64 (*.f64 x x) (*.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01121
12221
24021
36321
46321
06321
Stop Event
iter limit
saturated
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 y x) x)
(*.f64 x x)
x
(*.f64 x y)
(*.f64 y x)
y

localize22.0ms (0.9%)

Memory
-1.2MiB live, 34.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
accuracy3.5976479933208236
(+.f64 (*.f64 x x) (*.f64 x y))
Samples
13.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (79% of total)
ival-add: 1.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
4 → 14
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
(* x y)
(* x (+ x y))
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(+ (* x y) (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(* y (+ x (/ (pow x 2) y)))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
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))

simplify116.0ms (4.4%)

Memory
-26.1MiB live, 92.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04076
113476
234576
375876
4165176
5359376
6583176
7708376
0808176
Stop Event
iter limit
node limit
Counts
14 → 14
Calls
Call 1
Inputs
(* x y)
(* x (+ x y))
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(+ (* x y) (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(* y (+ x (/ (pow x 2) y)))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
Outputs
(* x y)
(*.f64 y x)
(* x (+ x y))
(*.f64 (+.f64 y x) x)
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* x (+ (* 2 x) (* 2 y)))
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (+.f64 y x) x)
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))

rewrite380.0ms (14.4%)

Memory
-121.2MiB live, 213.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01118
13618
225218
3228418
0863618
Stop Event
iter limit
node limit
iter limit
Counts
4 → 269
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 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (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 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y 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 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (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)) (-.f64 (*.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 -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) x))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) x)
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(*.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 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 y x) x) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.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 -1 binary64)))
(*.f64 (*.f64 (+.f64 y x) x) (/.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) x)))
(*.f64 (*.f64 (+.f64 y x) x) (*.f64 (*.f64 (-.f64 x y) x) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y 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 -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 x (+.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 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (pow.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 x y)))
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(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 x (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x) (-.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 y x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.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 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (-.f64 y x)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (-.f64 x y)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 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 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (-.f64 x y)) (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 y x)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) 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 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.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 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval64.0ms (2.4%)

Memory
-10.0MiB live, 42.5MiB allocated
Compiler

Compiled 7 167 to 930 computations (87% saved)

prune4.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2714275
Fresh000
Picked101
Done000
Total2724276
Accuracy
100.0%
Counts
276 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
98.4%
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
57.2%
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
57.5%
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify7.0ms (0.3%)

Memory
-29.4MiB live, 8.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
cost-diff192
(fma.f64 y x (*.f64 x x))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
cost-diff0
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891
02783
15583
27183
37783
07783
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
#s(literal 2 binary64)
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
#s(literal 2 binary64)
(fma.f64 y x (*.f64 x x))
y
x
(*.f64 x x)
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(+.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
#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) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
(*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
#s(literal 2 binary64)
(fma.f64 y x (*.f64 x x))
(*.f64 (+.f64 y x) x)
y
x
(*.f64 x x)
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize104.0ms (3.9%)

Memory
16.1MiB live, 90.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
accuracy0.9999889904222409
(fma.f64 y x (*.f64 x x))
accuracy0.0
(*.f64 y x)
accuracy0.0
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
accuracy27.37796654611005
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(*.f64 (*.f64 x x) #s(literal 2 binary64))
accuracy27.17755104216121
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Samples
95.0ms256×0valid
Compiler

Compiled 172 to 35 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 12.0ms (78% of total)
ival-add: 3.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
11 → 22
Calls
Call 1
Inputs
#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 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
(fma.f64 y x (*.f64 x x))
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(+.f64 y x)
(*.f64 #s(literal 2 binary64) x)
Outputs
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* 2 (pow x 2))
(pow x 2)
(* x y)
(* x (+ x y))
y
(+ x y)
(* 2 x)
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (/ y x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* x y) (pow x 2))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ x (/ (pow x 2) y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify144.0ms (5.4%)

Memory
-5.5MiB live, 112.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05296
117896
244296
3124296
4233996
5389796
6557196
7663696
0805596
Stop Event
iter limit
node limit
Counts
22 → 20
Calls
Call 1
Inputs
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* 2 (pow x 2))
(pow x 2)
(* x y)
(* x (+ x y))
y
(+ x y)
(* 2 x)
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (/ y x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* x y) (pow x 2))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ x (/ (pow x 2) y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* 2 (* x y))
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(* x (+ (* 2 x) (* 2 y)))
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* x y)
(*.f64 y x)
(* x (+ x y))
(*.f64 (+.f64 y x) x)
y
(+ x y)
(+.f64 y x)
(* 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))
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (+.f64 y x) x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite253.0ms (9.6%)

Memory
13.9MiB live, 261.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
02769
19469
249369
3490469
0866469
Stop Event
iter limit
node limit
iter limit
Counts
11 → 472
Calls
Call 1
Inputs
#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 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
(fma.f64 y x (*.f64 x x))
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(+.f64 y x)
(*.f64 #s(literal 2 binary64) x)
Outputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x 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 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.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)) x)
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (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 #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (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 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) x) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 x y))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (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 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y 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 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y 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 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (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)) (-.f64 (*.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 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 y x) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) x))
(*.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 x y) x) (-.f64 x y)))
(*.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) x))
(*.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 -1 binary64)))
(*.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 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 y x) x) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) x)
(*.f64 (*.f64 (+.f64 y x) x) (/.f64 (*.f64 (-.f64 y x) x) (*.f64 (-.f64 y x) x)))
(*.f64 (*.f64 (+.f64 y x) x) (/.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) x)))
(*.f64 (*.f64 (+.f64 y x) x) (*.f64 (*.f64 (-.f64 y x) x) (pow.f64 (*.f64 (-.f64 y x) x) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 y x) x) (*.f64 (*.f64 (-.f64 x y) x) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 y x))
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(/.f64 (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 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.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)))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

eval88.0ms (3.3%)

Memory
1.1MiB live, 73.8MiB allocated
Compiler

Compiled 8 545 to 1 148 computations (86.6% saved)

prune10.0ms (0.4%)

Memory
-5.5MiB live, 30.0MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3830383
Fresh000
Picked044
Done000
Total3834387
Accuracy
100.0%
Counts
387 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
98.4%
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
57.2%
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
57.5%
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Compiler

Compiled 95 to 54 computations (43.2% saved)

regimes39.0ms (1.5%)

Memory
-22.2MiB live, 25.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

32.0ms
y
2.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0.2%)

Memory
24.7MiB live, 24.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
Calls

4 calls:

1.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
1.0ms
x
1.0ms
y
1.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
81.4%3x
84.0%3y
80.6%2(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
80.6%2(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes26.0ms (1%)

Memory
-25.9MiB live, 13.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

22.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
1.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
57.5%1x
57.5%1(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
57.5%1(+.f64 (*.f64 x x) (*.f64 x y))
57.5%1y
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch19.0ms (0.7%)

Memory
26.5MiB live, 26.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
3.3117879399489226e+72
2.5392634354329006e+73
9.0ms
-1.2695685507174354e-17
-5.970377052750271e-20
Samples
9.0ms208×0valid
Compiler

Compiled 376 to 298 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (78.5% of total)
ival-add: 1.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify61.0ms (2.3%)

Memory
6.3MiB live, 42.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02271
12871
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(if (<=.f64 y #s(literal -7788445287802241/2596148429267413814265248164610048 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (if (<=.f64 y #s(literal 4499999999999999845187863884992456543191718318212265143547861334004596736 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
Outputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(if (<=.f64 y #s(literal -7788445287802241/2596148429267413814265248164610048 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (if (<=.f64 y #s(literal 4499999999999999845187863884992456543191718318212265143547861334004596736 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))))
(if (<=.f64 y #s(literal -7788445287802241/2596148429267413814265248164610048 binary64)) (*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 4499999999999999845187863884992456543191718318212265143547861334004596736 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 x y)) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))

soundness446.0ms (16.8%)

Memory
-19.8MiB live, 223.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04076
113476
234576
375876
4165176
5359376
6583176
7708376
0808176
0722
01118
13618
225218
3228418
0863618
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 102 to 48 computations (52.9% saved)

preprocess40.0ms (1.5%)

Memory
11.0MiB live, 48.4MiB allocated
Compiler

Compiled 174 to 72 computations (58.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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