Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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 9 to 9 computations (0% saved)

sample956.0ms (31.3%)

Memory
46.5MiB live, 934.8MiB allocated
Samples
585.0ms7 670×0valid
37.0ms125×3valid
16.0ms202×2valid
16.0ms259×1valid
Precisions
Click to see histograms. Total time spent on operations: 379.0ms
ival-div: 176.0ms (46.5% of total)
ival-mult: 90.0ms (23.8% of total)
ival-sub: 86.0ms (22.7% of total)
adjust: 11.0ms (2.9% of total)
exact: 7.0ms (1.8% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain162.0ms (5.3%)

Memory
-34.3MiB live, 146.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 8 binary64)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
00-0-(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
00-0-(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
70.0ms462×0valid
2.0ms22×2valid
2.0ms22×1valid
1.0ms3valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (34% of total)
ival-mult: 3.0ms (25.5% of total)
ival-sub: 3.0ms (25.5% of total)
adjust: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess32.0ms (1%)

Memory
-15.5MiB live, 34.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
12827
24727
36627
47527
57727
075
0115
1165
2225
3305
4385
0384
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)
Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
cost-diff1
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
cost-diff2
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
01113
11613
22213
33013
43813
03812
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
y
Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(*.f64 y #s(literal 3/8 binary64))
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3/8 binary64)
#s(literal 3 binary64)
#s(literal 8 binary64)
y

localize27.0ms (0.9%)

Memory
4.3MiB live, 47.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
accuracy0.0
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
accuracy0.09765625
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Samples
20.0ms231×0valid
1.0ms11×2valid
1.0ms11×1valid
0.0ms3valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (45.5% of total)
ival-mult: 2.0ms (30.4% of total)
ival-sub: 1.0ms (15.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
3 → 9
Calls
Call 1
Inputs
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Outputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
1.0ms
y
@inf
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms
y
@0
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms
x
@inf
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms
x
@0
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))

simplify200.0ms (6.5%)

Memory
-3.0MiB live, 95.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02537
16837
218637
348037
4109637
5246837
6326337
7360037
8483337
9624837
10653237
11663037
12663037
13663037
14708737
15731637
16737037
17737037
0880631
Stop Event
iter limit
node limit
Counts
9 → 8
Calls
Call 1
Inputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite266.0ms (8.7%)

Memory
-16.9MiB live, 175.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
0119
1289
21679
317029
092158
Stop Event
iter limit
node limit
iter limit
Counts
3 → 239
Calls
Call 1
Inputs
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Outputs
#s(literal 3/8 binary64)
(*.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 y (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 2 binary64))))) (fma.f64 x x (*.f64 (*.f64 #s(literal -3/8 binary64) y) (fma.f64 y #s(literal 3/8 binary64) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 y (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64))) (-.f64 (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -9/64 binary64) (*.f64 y y))) (fma.f64 x x (*.f64 #s(literal -9/64 binary64) (*.f64 y y)))) (fma.f64 #s(literal -3/8 binary64) y x))
(*.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -9/64 binary64) (*.f64 y y))) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y #s(literal 3/8 binary64)) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x) (*.f64 x x)))
(*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 y #s(literal 3/8 binary64) x)))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)) (*.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal -3/8 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) #s(literal -3/8 binary64)) (*.f64 (neg.f64 y) #s(literal -3/8 binary64)) (*.f64 x (*.f64 (neg.f64 y) #s(literal -3/8 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9/64 binary64) (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 27/512 binary64) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))) (fma.f64 y #s(literal 3/8 binary64) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 #s(literal -3/8 binary64) y x))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9/64 binary64) (fma.f64 y #s(literal 3/8 binary64) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (fma.f64 y #s(literal 3/8 binary64) x))) (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 y #s(literal 3/8 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 27/512 binary64) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y #s(literal 3/8 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 y #s(literal 3/8 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (neg.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 y #s(literal 3/8 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y #s(literal 3/8 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/8 binary64) x) (neg.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 y #s(literal 3/8 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) (*.f64 (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/8 binary64) x) (*.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
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(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
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(fabs.f64 (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64))))
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eval48.0ms (1.6%)

Memory
1.0MiB live, 42.6MiB allocated
Compiler

Compiled 7 687 to 620 computations (91.9% saved)

prune3.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2402242
Fresh000
Picked101
Done000
Total2412243
Accuracy
100.0%
Counts
243 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
50.1%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify5.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal -3/8 binary64) x)
cost-diff0
(*.f64 #s(literal -3/8 binary64) y)
cost-diff0
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
01520
12020
22620
33620
44120
04120
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
y
#s(literal -3/8 binary64)
x
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
y
#s(literal -3/8 binary64)
x

localize30.0ms (1%)

Memory
-4.0MiB live, 40.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y #s(literal -3/8 binary64) x)
accuracy0.0
(*.f64 #s(literal -3/8 binary64) y)
accuracy31.953624420604722
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Samples
21.0ms231×0valid
2.0ms11×2valid
1.0ms11×1valid
1.0ms3valid
Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (46.8% of total)
ival-div: 2.0ms (18.7% of total)
adjust: 1.0ms (9.4% of total)
ival-add: 1.0ms (9.4% of total)
ival-sub: 1.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
3 → 8
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
(fma.f64 y #s(literal -3/8 binary64) x)
Outputs
(* -3/8 y)
(- x (* 3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms
y
@inf
((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms
y
@0
((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms
x
@inf
((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms
x
@0
((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))

simplify187.0ms (6.1%)

Memory
12.6MiB live, 57.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02534
16834
218634
348034
4109634
5249334
6328834
7363034
8486534
9630434
10659034
11668834
12668834
13668834
14713534
15734634
16740034
17740034
0883628
Stop Event
iter limit
node limit
Counts
8 → 7
Calls
Call 1
Inputs
(* -3/8 y)
(- x (* 3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite170.0ms (5.6%)

Memory
-2.0MiB live, 103.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
01515
14215
229015
3321815
0968115
Stop Event
iter limit
node limit
iter limit
Counts
3 → 241
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
(fma.f64 y #s(literal -3/8 binary64) x)
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 (fabs.f64 (fabs.f64 y)) #s(literal 3/8 binary64))
(*.f64 (sqrt.f64 #s(literal -3/8 binary64)) (sqrt.f64 (*.f64 (*.f64 y y) #s(literal -3/8 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -3/8 binary64) y)) (sqrt.f64 (*.f64 #s(literal -3/8 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 9/64 binary64) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 9/64 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal -3/8 binary64))) (sqrt.f64 #s(literal -3/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal -3/8 binary64))) (sqrt.f64 #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (*.f64 y y) #s(literal -3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -3/8 binary64))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -3/8 binary64))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -3/8 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (fabs.f64 y) #s(literal 3/8 binary64))
(*.f64 (neg.f64 y) #s(literal -3/8 binary64))
(*.f64 (neg.f64 y) #s(literal 3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -3/8 binary64) (neg.f64 y))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 y #s(literal -3/8 binary64))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 (fabs.f64 y)))
(*.f64 #s(literal 3/8 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 y))
(*.f64 #s(literal 3/8 binary64) (neg.f64 y))
(*.f64 #s(literal 3/8 binary64) y)
(pow.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -3/8 binary64) y))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -3/8 binary64) y))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3/8 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -3/8 binary64) y)))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal -3/8 binary64) y))) (sinh.f64 (log.f64 (*.f64 #s(literal -3/8 binary64) y))))
(*.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 y (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (*.f64 #s(literal -3/8 binary64) y)) (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (*.f64 #s(literal -3/8 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))
(*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 #s(literal -3/8 binary64) y x)))
(*.f64 (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9/64 binary64) (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9/64 binary64) (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 19683/134217728 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -3/8 binary64) y x)) (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) y x)) (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (*.f64 x x)))) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (*.f64 (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -3/8 binary64) y x)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) y x)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (pow.f64 (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 729/262144 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x)) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 y (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x)) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 y (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(-.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))))
(-.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 #s(literal -3/8 binary64) y x)))
(-.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)))
(-.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/64 binary64) y) y (*.f64 (fma.f64 #s(literal -3/8 binary64) y x) x))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))))
(+.f64 (*.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))))
(+.f64 (neg.f64 x) (*.f64 #s(literal -3/8 binary64) y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 x))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal -3/8 binary64)))
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))

eval30.0ms (1%)

Memory
-16.5MiB live, 69.4MiB allocated
Compiler

Compiled 5 965 to 567 computations (90.5% saved)

prune4.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2421243
Fresh000
Picked022
Done000
Total2423245
Accuracy
100.0%
Counts
245 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
2.2%
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
50.1%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Compiler

Compiled 26 to 24 computations (7.7% saved)

simplify4.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 3/8 binary64))
cost-diff0
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
01114
11614
22214
33014
43814
03813
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
y
#s(literal 3/8 binary64)
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
y
#s(literal 3/8 binary64)

localize37.0ms (1.2%)

Memory
-51.7MiB live, 12.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 3/8 binary64))
accuracy62.57573456982141
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
Samples
30.0ms231×0valid
1.0ms11×2valid
1.0ms11×1valid
0.0ms3valid
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 16.0ms (77.5% of total)
ival-div: 2.0ms (9.7% of total)
ival-sub: 1.0ms (4.8% of total)
ival-true: 1.0ms (4.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
2 → 9
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
Outputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms
y
@-inf
((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms
x
@inf
((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms
y
@0
((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms
x
@-inf
((- x (* (/ 3 8) y)) (* y 3/8))

simplify201.0ms (6.6%)

Memory
38.1MiB live, 128.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02537
16837
218637
348037
4109637
5246837
6326337
7360037
8483337
9624837
10653237
11663037
12663037
13663037
14708737
15731637
16737037
17737037
0880631
Stop Event
iter limit
node limit
Counts
9 → 8
Calls
Call 1
Inputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite171.0ms (5.6%)

Memory
5.3MiB live, 238.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
01112
12812
216712
3169412
0922211
Stop Event
iter limit
node limit
iter limit
Counts
2 → 34
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) #s(literal 3/8 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal -3/8 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) y) y)) (sqrt.f64 #s(literal -3/8 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -3/8 binary64) y)) (sqrt.f64 (*.f64 #s(literal -3/8 binary64) y)))
(*.f64 (sqrt.f64 #s(literal -3/8 binary64)) (sqrt.f64 (*.f64 y (*.f64 #s(literal -3/8 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 3/8 binary64))) (sqrt.f64 (*.f64 y #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 9/64 binary64) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -3/8 binary64) y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 9/64 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 3/8 binary64))) (sqrt.f64 #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (fabs.f64 y) #s(literal 3/8 binary64))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 (fabs.f64 y)))
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 y))
(*.f64 #s(literal 3/8 binary64) y)
(pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y)))
(fabs.f64 (*.f64 #s(literal -3/8 binary64) y))
(fabs.f64 (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64)))) (sinh.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64)))))

eval38.0ms (1.2%)

Memory
-23.3MiB live, 35.8MiB allocated
Compiler

Compiled 537 to 122 computations (77.3% saved)

prune3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New37037
Fresh000
Picked011
Done022
Total37340
Accuracy
100.0%
Counts
40 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
2.2%
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
50.1%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes21.0ms (0.7%)

Memory
-27.8MiB live, 19.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
Calls

4 calls:

15.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
100.0%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
100.0%1x
100.0%1y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes5.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Accuracy

Total -31.2b remaining (-97.6%)

Threshold costs -31.2b (-97.6%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Calls

4 calls:

1.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
1.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
50.1%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
50.1%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
50.1%1x
50.1%1y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify12.0ms (0.4%)

Memory
-24.1MiB live, 21.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11613
22513
33513
44313
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

soundness419.0ms (13.7%)

Memory
3.8MiB live, 242.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
0119
1289
21679
317029
092158
02537
16837
218637
348037
4109637
5246837
6326337
7360037
8483337
9624837
10653237
11663037
12663037
13663037
14708737
15731637
16737037
17737037
0880631
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 29 to 24 computations (17.2% saved)

preprocess16.0ms (0.5%)

Memory
33.0MiB live, 33.0MiB allocated
Compiler

Compiled 44 to 36 computations (18.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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