Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

Time bar (total: 3.5s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample473.0ms (13.7%)

Memory
-23.6MiB live, 968.4MiB allocated
Samples
331.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 63.0ms (46% of total)
ival-sub: 60.0ms (43.8% of total)
ival-true: 6.0ms (4.4% of total)
exact: 5.0ms (3.6% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

preprocess28.0ms (0.8%)

Memory
2.4MiB live, 53.1MiB allocated
Algorithm
egg-herbie
Rules
144×accelerator-lowering-fma.f32
144×accelerator-lowering-fma.f64
88×*-lowering-*.f32
88×*-lowering-*.f64
68×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
12616
26315
319115
431115
548815
648915
045
1105
2165
3195
4215
5265
6365
7545
81115
91985
102275
112275
02275
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* x (- x 1))
Outputs
(* x (- x 1))
(fma.f64 x x (neg.f64 x))
Call 2
Inputs
(* x (- x 1))
(* (neg x) (- (neg x) 1))
(neg (* (neg x) (- (neg x) 1)))
Outputs
(* x (- x 1))
(- (* x x) x)
(* (neg x) (- (neg x) 1))
(+ x (* x x))
(neg (* (neg x) (- (neg x) 1)))
(* x (- -1 x))

explain43.0ms (1.2%)

Memory
-6.5MiB live, 111.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 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
19.0ms512×0valid
Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 4.0ms (48.5% of total)
ival-mult: 3.0ms (36.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Rules
144×accelerator-lowering-fma.f32
144×accelerator-lowering-fma.f64
88×*-lowering-*.f32
88×*-lowering-*.f64
48×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
11010
21610
31910
42110
52610
63610
75410
811110
919810
1022710
1122710
022710
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (- x 1))
x
(- x 1)
1
Outputs
(* x (- x 1))
(fma.f64 x x (neg.f64 x))
x
(- x 1)
(+.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)

localize17.0ms (0.5%)

Memory
-1.8MiB live, 39.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Samples
12.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (67.9% of total)
ival-sub: 2.0ms (34% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (* x (- x 1))>
#<alt (- x 1)>
Outputs
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x (- x 1))
0.0ms
x
@-inf
(* x (- x 1))
0.0ms
x
@0
(* x (- x 1))
0.0ms
x
@-inf
(- x 1)
0.0ms
x
@inf
(- x 1)

rewrite329.0ms (9.5%)

Memory
-25.0MiB live, 648.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 622×accelerator-lowering-fma.f32
8 622×accelerator-lowering-fma.f64
4 178×/-lowering-/.f32
4 178×/-lowering-/.f64
3 404×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
1238
21368
312478
089658
Stop Event
iter limit
node limit
Counts
2 → 299
Calls
Call 1
Inputs
(* x (- x 1))
(- x 1)
Outputs
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x x))
(+.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 x (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (neg.f64 x)))
(-.f64 (*.f64 x x) x)
(-.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(fma.f64 x x (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(fma.f64 x (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 x x) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) x (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) x) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (neg.f64 x)))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x))))
(neg.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (neg.f64 x))) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) x) (+.f64 x #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (neg.f64 x))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
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(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))

simplify249.0ms (7.2%)

Memory
11.9MiB live, 324.7MiB allocated
Algorithm
egg-herbie
Rules
5 856×accelerator-lowering-fma.f32
5 856×accelerator-lowering-fma.f64
3 966×*-lowering-*.f32
3 966×*-lowering-*.f64
1 360×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01583
13283
27583
313383
438183
5159283
6275783
7387583
8522483
9670583
10760083
0801083
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)

eval35.0ms (1%)

Memory
30.0MiB live, 67.4MiB allocated
Compiler

Compiled 8 941 to 866 computations (90.3% saved)

prune46.0ms (1.3%)

Memory
-24.5MiB live, 71.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3203323
Fresh000
Picked101
Done000
Total3213324
Accuracy
100.0%
Counts
324 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (neg.f64 x))
53.1%
(*.f64 x x)
49.4%
(neg.f64 x)
Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify10.0ms (0.3%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 x x (neg.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 x)
Rules
144×accelerator-lowering-fma.f32
144×accelerator-lowering-fma.f64
88×*-lowering-*.f32
88×*-lowering-*.f64
48×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0415
11015
22015
33115
45015
510915
619915
723215
823215
023215
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(neg x)
x
(* x x)
x
(+ (* x x) (neg x))
x
(neg x)
Outputs
(neg x)
(neg.f64 x)
x
(* x x)
(*.f64 x x)
x
(+ (* x x) (neg x))
(fma.f64 x x (neg.f64 x))
x
(neg x)
(neg.f64 x)

localize20.0ms (0.6%)

Memory
-11.9MiB live, 26.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x x (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(neg.f64 x)
Samples
13.0ms256×0valid
Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (44% of total)
ival-add: 1.0ms (22% of total)
ival-neg: 1.0ms (22% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (neg x)>
#<alt (* x x)>
#<alt (+ (* x x) (neg x))>
Outputs
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* x x)
0.0ms
x
@inf
(* x x)
0.0ms
x
@inf
(neg x)
0.0ms
x
@inf
(+ (* x x) (neg x))
0.0ms
x
@0
(+ (* x x) (neg x))

rewrite479.0ms (13.8%)

Memory
-2.1MiB live, 428.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 390×accelerator-lowering-fma.f32
8 390×accelerator-lowering-fma.f64
3 574×/-lowering-/.f32
3 574×/-lowering-/.f64
3 072×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
12510
22139
322139
082408
Stop Event
iter limit
node limit
Counts
3 → 381
Calls
Call 1
Inputs
(neg x)
(* x x)
(+ (* x x) (neg x))
Outputs
x
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(exp.f64 (log.f64 x))
(-.f64 x (/.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 x (/.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) x) x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 3 binary64) (log.f64 x))) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 x x))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
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(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x))))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (/.f64 (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 (fma.f64 x x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x)))))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x)))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) (fma.f64 x x x))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x)))) (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x)))))) (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x)))) (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 x (*.f64 x (fma.f64 x x x)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) #s(literal -1 binary64)))

simplify411.0ms (11.9%)

Memory
9.4MiB live, 321.3MiB allocated
Algorithm
egg-herbie
Rules
7 050×accelerator-lowering-fma.f32
7 050×accelerator-lowering-fma.f64
4 338×*-lowering-*.f32
4 338×*-lowering-*.f64
1 582×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011113
122113
240113
382113
4190113
5375113
6700113
72349113
83778113
95762113
107521113
08084113
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
Outputs
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)

eval121.0ms (3.5%)

Memory
11.3MiB live, 125.0MiB allocated
Compiler

Compiled 11 697 to 954 computations (91.8% saved)

prune103.0ms (3%)

Memory
4.5MiB live, 87.0MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4762478
Fresh000
Picked033
Done000
Total4765481
Accuracy
100.0%
Counts
481 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (neg.f64 x))
53.1%
(*.f64 x x)
3.0%
(neg.f64 (*.f64 x x))
49.4%
(neg.f64 x)
3.6%
x
Compiler

Compiled 20 to 11 computations (45% saved)

simplify5.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 (*.f64 x x))
Rules
16×+-lowering-+.f64
16×+-lowering-+.f32
14×*-lowering-*.f32
14×*-lowering-*.f64
14×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039
1109
2149
3209
4279
5359
6439
7499
8509
0509
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
x
(neg (* x x))
(* x x)
x
Outputs
x
(neg (* x x))
(*.f64 x (neg.f64 x))
(* x x)
(*.f64 x x)
x

localize34.0ms (1%)

Memory
-24.7MiB live, 14.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(neg.f64 (*.f64 x x))
Samples
29.0ms256×0valid
Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 23.0ms (94.8% of total)
ival-neg: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (neg (* x x))>
#<alt (* x x)>
Outputs
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(neg (* x x))
0.0ms
x
@inf
(neg (* x x))
0.0ms
x
@-inf
(neg (* x x))
0.0ms
x
@inf
(* x x)
0.0ms
x
@-inf
(* x x)

rewrite100.0ms (2.9%)

Memory
4.9MiB live, 84.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
668×*-lowering-*.f32
668×*-lowering-*.f64
646×/-lowering-/.f32
646×/-lowering-/.f64
388×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037
1127
2367
32087
021277
Stop Event
iter limit
iter limit
node limit
Counts
2 → 186
Calls
Call 1
Inputs
(neg (* x x))
(* x x)
Outputs
(+.f64 (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(-.f64 (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(fma.f64 x (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(neg.f64 (*.f64 x x))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
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simplify7.0ms (0.2%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
egg-herbie
Rules
16×+-lowering-+.f64
16×+-lowering-+.f32
14×*-lowering-*.f32
14×*-lowering-*.f64
14×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0584
1884
21784
31984
42284
52984
63784
74584
85184
95284
05284
Stop Event
iter limit
saturated
Counts
24 → 24
Calls
Call 1
Inputs
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval39.0ms (1.1%)

Memory
14.7MiB live, 50.3MiB allocated
Compiler

Compiled 3 797 to 383 computations (89.9% saved)

prune83.0ms (2.4%)

Memory
-10.4MiB live, 66.5MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2100210
Fresh000
Picked022
Done033
Total2105215
Accuracy
100.0%
Counts
215 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (neg.f64 x))
53.1%
(*.f64 x x)
3.0%
(neg.f64 (*.f64 x x))
49.4%
(neg.f64 x)
3.6%
x
Compiler

Compiled 41 to 19 computations (53.7% saved)

regimes6.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x x)
(neg.f64 (*.f64 x x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 x))
Outputs
(fma.f64 x x (neg.f64 x))
Calls

2 calls:

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

Compiled 8 to 5 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x x)
(neg.f64 (*.f64 x x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes41.0ms (1.2%)

Memory
-43.4MiB live, 13.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x x)
(neg.f64 (*.f64 x x))
Outputs
(neg.f64 x)
(*.f64 x x)
Calls

2 calls:

39.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
97.6%3x
97.6%2(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
x
(neg.f64 x)
Outputs
(neg.f64 x)
Calls

2 calls:

2.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
49.4%1x
49.4%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
3.6%1x
3.6%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7463496950186088e-9
3.3749602356306587
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify14.0ms (0.4%)

Memory
-21.7MiB live, 18.1MiB allocated
Algorithm
egg-herbie
Rules
10×neg-mul-1_binary64
*-commutative_binary64
unsub-neg_binary64
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
11926
22426
33026
43726
54626
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (neg.f64 x) (*.f64 x x))
(neg.f64 x)
x
Outputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (neg.f64 x) (*.f64 x x))
(if (<=.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (neg.f64 x) (*.f64 x x))
(neg.f64 x)
x

soundness686.0ms (19.8%)

Memory
10.3MiB live, 395.7MiB allocated
Rules
8 622×accelerator-lowering-fma.f32
8 622×accelerator-lowering-fma.f64
8 390×accelerator-lowering-fma.f32
8 390×accelerator-lowering-fma.f64
5 856×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
12510
22139
322139
082408
01583
13283
27583
313383
438183
5159283
6275783
7387583
8522483
9670583
10760083
0801083
048
1238
21368
312478
089658
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 48 to 22 computations (54.2% saved)

preprocess61.0ms (1.8%)

Memory
24.6MiB live, 136.6MiB allocated
Compiler

Compiled 78 to 34 computations (56.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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