Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

Time bar (total: 7.7s)

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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 11 to 9 computations (18.2% saved)

sample1.0s (13.4%)

Memory
29.2MiB live, 866.8MiB allocated
Samples
387.0ms6 289×0valid
328.0ms1 966×1valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 481.0ms
ival-sub: 174.0ms (36.2% of total)
ival-add: 116.0ms (24.1% of total)
adjust: 106.0ms (22.1% of total)
ival-mult: 72.0ms (15% of total)
exact: 5.0ms (1% of total)
ival-true: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess1.3s (16.4%)

Memory
-6.3MiB live, 995.0MiB allocated
Algorithm
egg-herbie
Rules
30 512×accelerator-lowering-fma.f32
30 512×accelerator-lowering-fma.f64
3 744×*-lowering-*.f32
3 744×*-lowering-*.f64
2 596×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01962
14855
214754
363254
4221142
5386042
6492842
7545642
8571342
9586542
10595442
11607442
12641542
13712842
14747942
15774442
16790342
17795242
18796042
079
1159
2349
31029
43587
512867
631567
748177
855267
957857
1059817
1160737
1262317
1366107
1468237
1569757
1670517
1770947
1872267
1977327
081856
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(+ x (* (- 1 x) (- 1 y)))
Outputs
(+ x (* (- 1 x) (- 1 y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
Call 2
Inputs
(+ x (* (- 1 x) (- 1 y)))
(+ (neg x) (* (- 1 (neg x)) (- 1 y)))
(+ x (* (- 1 x) (- 1 (neg y))))
(neg (+ (neg x) (* (- 1 (neg x)) (- 1 y))))
(neg (+ x (* (- 1 x) (- 1 (neg y)))))
(+ y (* (- 1 y) (- 1 x)))
Outputs
(+ x (* (- 1 x) (- 1 y)))
(+ 1 (- (* x y) y))
(+ (neg x) (* (- 1 (neg x)) (- 1 y)))
(- 1 (+ y (* x y)))
(+ x (* (- 1 x) (- 1 (neg y))))
(+ 1 (- y (* x y)))
(neg (+ (neg x) (* (- 1 (neg x)) (- 1 y))))
(+ y (+ -1 (* x y)))
(neg (+ x (* (- 1 x) (- 1 (neg y)))))
(+ -1 (- (* x y) y))
(+ y (* (- 1 y) (- 1 x)))
(+ 1 (- (* x y) x))

explain133.0ms (1.7%)

Memory
3.5MiB live, 246.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
521(181904.42596204183 3.8507933620996644e-274)0-(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))cancellation530
Confusion
Predicted +Predicted -
+520
-1203
Precision
0.9811320754716981
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5200
-10203
Precision?
0.9811320754716981
Recall?
1.0
Freqs
test
numberfreq
0203
153
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms100×1valid
20.0ms412×0valid
Compiler

Compiled 76 to 32 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 7.0ms (36.6% of total)
ival-sub: 6.0ms (31.4% of total)
ival-mult: 4.0ms (20.9% of total)
adjust: 2.0ms (10.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory
-36.5MiB live, 2.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify607.0ms (7.8%)

Memory
38.1MiB live, 1 028.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
cost-diff320
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Rules
30 512×accelerator-lowering-fma.f32
30 512×accelerator-lowering-fma.f64
3 744×*-lowering-*.f32
3 744×*-lowering-*.f64
2 596×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
11525
23425
310225
435823
5128623
6315623
7481723
8552623
9578523
10598123
11607323
12623123
13661023
14682323
15697523
16705123
17709423
18722623
19773223
0818522
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* (- 1 x) (- 1 y)))
x
(* (- 1 x) (- 1 y))
(- 1 x)
1
(- 1 y)
y
Outputs
(+ x (* (- 1 x) (- 1 y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
x
(* (- 1 x) (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
y

localize25.0ms (0.3%)

Memory
1.8MiB live, 40.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
accuracy81.0%
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Samples
10.0ms206×0valid
7.0ms50×1valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 5.0ms (50.5% of total)
ival-mult: 2.0ms (20.2% of total)
adjust: 1.0ms (10.1% of total)
ival-add: 1.0ms (10.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (+ x (* (- 1 x) (- 1 y)))>
#<alt (* (- 1 x) (- 1 y))>
#<alt (- 1 x)>
#<alt (- 1 y)>
Outputs
#<alt (- 1 y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)>
#<alt (* x (+ 1 (* -1 (- 1 y))))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (+ 1 (* -1 (* y (- 1 x))))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))>
#<alt (- 1 y)>
#<alt (- (+ 1 (* -1 (* x (- 1 y)))) y)>
#<alt (- (+ 1 (* -1 (* x (- 1 y)))) y)>
#<alt (- (+ 1 (* -1 (* x (- 1 y)))) y)>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))>
#<alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))>
#<alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)>
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)>
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
Calls

18 calls:

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

rewrite318.0ms (4.1%)

Memory
-14.9MiB live, 588.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 364×accelerator-lowering-fma.f32
5 364×accelerator-lowering-fma.f64
3 608×*-lowering-*.f32
3 608×*-lowering-*.f64
2 212×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
14822
242722
3549122
0868421
Stop Event
iter limit
node limit
Counts
4 → 523
Calls
Call 1
Inputs
(+ x (* (- 1 x) (- 1 y)))
(* (- 1 x) (- 1 y))
(- 1 x)
(- 1 y)
Outputs
(+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y) x))
(+.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x) x))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))))))
(+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(+.f64 (+.f64 x (+.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 x (neg.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (/.f64 x (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y) x)
(fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x) x))
(fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))))))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x) x))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x) x))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) x)
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) x)
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) x)
(fma.f64 (fma.f64 x (*.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 x #s(literal 1 binary64)) (neg.f64 y) x))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y) x))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) x)
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) x)
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y) x))
(fma.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y) x))
(fma.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x)
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))

simplify385.0ms (5%)

Memory
-6.2MiB live, 661.6MiB allocated
Algorithm
egg-herbie
Rules
20 464×accelerator-lowering-fma.f32
20 464×accelerator-lowering-fma.f64
3 336×+-lowering-+.f64
3 336×+-lowering-+.f32
2 646×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068522
1186484
2490362
31713362
47522362
08222344
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(- 1 y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(* x (+ 1 (* -1 (- 1 y))))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(* x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* -1 (* y (- 1 x))))
(* -1 (* y (- 1 x)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(* -1 (* y (- 1 x)))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(- 1 y)
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(* -1 (* x (- 1 y)))
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(* -1 (* x (- 1 y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(- 1 x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(* -1 (* y (- 1 x)))
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(* -1 (* y (- 1 x)))
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 y x)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+ 1 (* -1 (* y (- 1 x))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+ 1 (* -1 (* y (- 1 x))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 y x) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 y x) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- 1 y)))
(-.f64 (*.f64 y x) x)
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- 1 y)))
(-.f64 (*.f64 y x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 y x) y)
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 y x) y)
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

eval76.0ms (1%)

Memory
-3.8MiB live, 116.9MiB allocated
Compiler

Compiled 14 124 to 1 520 computations (89.2% saved)

prune73.0ms (0.9%)

Memory
18.7MiB live, 132.7MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5896595
Fresh000
Picked101
Done000
Total5906596
Accuracy
100.0%
Counts
596 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
62.5%
(-.f64 (*.f64 y x) y)
62.4%
(-.f64 #s(literal 1 binary64) y)
52.6%
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)))
40.2%
(*.f64 y x)
39.4%
#s(literal 1 binary64)
Compiler

Compiled 76 to 52 computations (31.6% saved)

simplify26.0ms (0.3%)

Memory
-9.1MiB live, 33.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 (*.f64 y x) y)
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(fma.f64 y x #s(literal 1 binary64))
cost-diff0
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
Rules
384×accelerator-lowering-fma.f32
384×accelerator-lowering-fma.f64
160×*-lowering-*.f32
160×*-lowering-*.f64
120×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
11736
22536
34436
47636
513036
625536
738136
846836
948336
1048736
048734
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (+ (* y x) 1) y)
(+ (* y x) 1)
y
x
1
1
(- 1 y)
1
y
(* y x)
y
x
(- (* y x) y)
(* y x)
y
x
Outputs
(- (+ (* y x) 1) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+ (* y x) 1)
(fma.f64 y x #s(literal 1 binary64))
y
x
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* y x)
(*.f64 y x)
y
x
(- (* y x) y)
(fma.f64 y x (neg.f64 y))
(* y x)
(*.f64 y x)
y
x

localize32.0ms (0.4%)

Memory
7.0MiB live, 43.5MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 (*.f64 y x) y)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(fma.f64 y x #s(literal 1 binary64))
accuracy100.0%
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
Samples
21.0ms256×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (64.1% of total)
ival-sub: 3.0ms (24% of total)
ival-add: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (- (+ (* y x) 1) y)>
#<alt (+ (* y x) 1)>
#<alt (- 1 y)>
#<alt (* y x)>
#<alt (- (* y x) y)>
Outputs
#<alt 1>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- x 1)))>
#<alt (* y (- x 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))>
#<alt (- 1 y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (* x y)>
#<alt (* x (- (+ y (/ 1 x)) (/ y x)))>
#<alt (* x (- (+ y (/ 1 x)) (/ y x)))>
#<alt (* x (- (+ y (/ 1 x)) (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
Calls

27 calls:

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

rewrite805.0ms (10.4%)

Memory
-223.1MiB live, 509.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 746×accelerator-lowering-fma.f32
7 746×accelerator-lowering-fma.f64
4 180×*-lowering-*.f32
4 180×*-lowering-*.f64
3 452×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
15823
250123
3718523
0833021
Stop Event
iter limit
node limit
Counts
5 → 413
Calls
Call 1
Inputs
(- (+ (* y x) 1) y)
(+ (* y x) 1)
(- 1 y)
(* y x)
(- (* y x) y)
Outputs
(+.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 y)))
(+.f64 (fma.f64 y x #s(literal 1 binary64)) (neg.f64 y))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(+.f64 (fma.f64 y x (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (neg.f64 y) (fma.f64 y x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) (fma.f64 y (+.f64 y (fma.f64 y x #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y (fma.f64 y x #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))))))
(+.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (+.f64 y (fma.f64 y x #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y (fma.f64 y x #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) (fma.f64 y (+.f64 y (fma.f64 y x #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y (fma.f64 y x #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (+.f64 y (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (*.f64 y y) (+.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) y))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 y x)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y)))
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(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 x x) y)))) (fma.f64 y x y)))
(/.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y))) #s(literal 1 binary64)) (*.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (fma.f64 y x y)))
(/.f64 (*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y)) #s(literal 1 binary64)) (fma.f64 y x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y)))) (neg.f64 (neg.f64 (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x y)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x y)) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) (/.f64 (*.f64 y y) (fma.f64 y x y)) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x y)) (/.f64 (*.f64 y y) (fma.f64 y x y))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 x x)))) (-.f64 (neg.f64 y) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))))) (fma.f64 (*.f64 y x) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x y)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x y))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) (/.f64 (*.f64 y y) (fma.f64 y x y)))) (fma.f64 (*.f64 y (*.f64 y x)) (/.f64 x (fma.f64 y x y)) (/.f64 (*.f64 y y) (fma.f64 y x y))))
(/.f64 (*.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y x y))) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 x x) y)))))
(/.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y x y))) (*.f64 y (fma.f64 y (*.f64 x x) y)))
(/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y)) (+.f64 x #s(literal 1 binary64))) y)
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 y))) #s(literal -1 binary64))
(*.f64 y (-.f64 x #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 y)))
(*.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))))
(*.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (*.f64 x (*.f64 y (neg.f64 y))))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))) (*.f64 (fma.f64 y x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))))
(*.f64 (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))) (/.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))))
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y x y)))
(*.f64 (fma.f64 y x y) (*.f64 (fma.f64 y x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y x y))))
(*.f64 (fma.f64 y x y) (/.f64 (fma.f64 y x (neg.f64 y)) (fma.f64 y x y)))
(*.f64 (neg.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))))))
(*.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y)))
(*.f64 (/.f64 (fma.f64 y x y) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 y x (neg.f64 y)) y))
(*.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y)) (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y))) (fma.f64 y x (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (fma.f64 y x y)) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y x y) (fma.f64 y x y)))))) (fma.f64 (*.f64 y (fma.f64 y x y)) (-.f64 (*.f64 y (fma.f64 y x y)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y)))) (*.f64 (*.f64 y (fma.f64 y (*.f64 x x) (fma.f64 y x y))) (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) (fma.f64 y x y))))) (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) (fma.f64 y x y))))
(*.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) y)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (*.f64 y (*.f64 y x))))

simplify374.0ms (4.8%)

Memory
9.7MiB live, 287.2MiB allocated
Algorithm
egg-herbie
Rules
5 926×accelerator-lowering-fma.f32
5 926×accelerator-lowering-fma.f64
2 396×*-lowering-*.f32
2 396×*-lowering-*.f64
1 176×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054467
1167467
2427467
31009467
42713467
55283467
66779467
77483467
87607467
97681467
107695467
08134431
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
(* y (- x 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* -1 (* y (+ 1 (* -1 x))))
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(- 1 y)
(- (+ 1 (* x y)) y)
(- (+ 1 (* x y)) y)
(- (+ 1 (* x y)) y)
(* x y)
(* x (- (+ y (/ 1 x)) (/ y x)))
(* x (- (+ y (/ 1 x)) (/ y x)))
(* x (- (+ y (/ 1 x)) (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* x y)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x y)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* -1 (* y (+ 1 (* -1 x))))
(* -1 (* y (+ 1 (* -1 x))))
(* -1 (* y (+ 1 (* -1 x))))
(* -1 (* y (+ 1 (* -1 x))))
(* -1 y)
(- (* x y) y)
(- (* x y) y)
(- (* x y) y)
(* x y)
(* x (+ y (* -1 (/ y x))))
(* x (+ y (* -1 (/ y x))))
(* x (+ y (* -1 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(* -1 (* x (+ (* -1 y) (/ y x))))
(* -1 (* x (+ (* -1 y) (/ y x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+ 1 (* y (- x 1)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+ 1 (* y (- x 1)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- (+ x (/ 1 y)) 1))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* y (- (+ x (/ 1 y)) 1))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* y (- (+ x (/ 1 y)) 1))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x y)) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(- (+ 1 (* x y)) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(- (+ 1 (* x y)) y)
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x y)
(*.f64 y x)
(* x (- (+ y (/ 1 x)) (/ y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x (- (+ y (/ 1 x)) (/ y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x (- (+ y (/ 1 x)) (/ y x)))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* y (+ 1 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* y (+ 1 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* y (+ 1 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* y (+ 1 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 y)
(neg.f64 y)
(- (* x y) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(- (* x y) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(- (* x y) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* x (+ y (* -1 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* x (+ y (* -1 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ y x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 y) (/ y x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 y) (/ y x))))
(*.f64 y (+.f64 x #s(literal -1 binary64)))

eval77.0ms (1%)

Memory
30.9MiB live, 105.4MiB allocated
Compiler

Compiled 13 474 to 1 043 computations (92.3% saved)

prune85.0ms (1.1%)

Memory
-24.5MiB live, 93.4MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New5472549
Fresh101
Picked145
Done000
Total5496555
Accuracy
100.0%
Counts
555 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(fma.f64 y x (neg.f64 y))
100.0%
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
62.4%
(-.f64 #s(literal 1 binary64) y)
40.2%
(*.f64 y x)
25.1%
(neg.f64 y)
39.4%
#s(literal 1 binary64)
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify12.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 y x (neg.f64 y))
cost-diff0
(neg.f64 y)
Rules
176×accelerator-lowering-fma.f32
176×accelerator-lowering-fma.f64
112×*-lowering-*.f32
112×*-lowering-*.f64
56×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
11212
22212
33612
45812
512412
622212
727012
827512
027512
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(neg y)
y
(+ (* y x) (neg y))
y
x
(neg y)
Outputs
(neg y)
(neg.f64 y)
y
(+ (* y x) (neg y))
(-.f64 (*.f64 y x) y)
y
x
(neg y)
(neg.f64 y)

localize19.0ms (0.2%)

Memory
-6.1MiB live, 31.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y x (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(neg.f64 y)
Samples
12.0ms256×0valid
Compiler

Compiled 14 to 7 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (51% of total)
ival-add: 1.0ms (17% of total)
ival-neg: 1.0ms (17% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (neg y)>
#<alt (+ (* y x) (neg y))>
Outputs
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* y (- x 1))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 (* y (+ 1 (* -1 x))))>
#<alt (* -1 y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (- (* x y) y)>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x (+ y (* -1 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ y x))))>
Calls

9 calls:

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

rewrite310.0ms (4%)

Memory
-33.1MiB live, 377.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 418×accelerator-lowering-fma.f32
5 418×accelerator-lowering-fma.f64
3 042×*-lowering-*.f32
3 042×*-lowering-*.f64
2 650×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1257
22037
322116
0103015
Stop Event
iter limit
node limit
Counts
2 → 301
Calls
Call 1
Inputs
(neg y)
(+ (* y x) (neg y))
Outputs
y
(+.f64 y #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) y)
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y #s(literal 0 binary64))
(neg.f64 y)
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))
(/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))))
(/.f64 (*.f64 y y) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 0 binary64)) (*.f64 y y))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 y y)) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y)
(+.f64 y (*.f64 y x))
(+.f64 (*.f64 y x) y)
(+.f64 #s(literal 0 binary64) (fma.f64 y x y))
(+.f64 (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x y))) #s(literal -1 binary64)))
(-.f64 y (*.f64 y x))
(-.f64 (*.f64 y x) y)
(-.f64 #s(literal 0 binary64) (fma.f64 y x y))
(-.f64 (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))))
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x y)) (fma.f64 y x y))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))) (/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)))) (fma.f64 y x y)) (/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)))) (fma.f64 y x y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 y x)))) (*.f64 x x)) (*.f64 y (fma.f64 y (*.f64 x x) y))) (fma.f64 y x y)) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 x x) y))) (fma.f64 y x y)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y x y) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))))) (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (fma.f64 y x y) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 y x)))) (*.f64 x x)) (*.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (fma.f64 y x y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (fma.f64 y x y))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y x))) (fma.f64 y x y)) (*.f64 y (fma.f64 y (*.f64 x x) y))) (/.f64 (*.f64 (fma.f64 y x y) (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 x x) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y (*.f64 x x) y) (*.f64 #s(literal 0 binary64) (fma.f64 y x y))))) (/.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (fma.f64 y x y)) (+.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y (*.f64 x x) y) (*.f64 #s(literal 0 binary64) (fma.f64 y x y))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 y (+.f64 x #s(literal 1 binary64))))))) (/.f64 (*.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 y (+.f64 x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (fma.f64 y x y)) (/.f64 (*.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x #s(literal 1 binary64)))) (fma.f64 y x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))) (fma.f64 y x y))
(fma.f64 y x y)
(fma.f64 y #s(literal -1 binary64) (*.f64 y x))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 y (*.f64 x #s(literal -1 binary64)) y)
(fma.f64 y (neg.f64 x) y)
(fma.f64 y (/.f64 (*.f64 y (*.f64 x x)) (fma.f64 y x y)) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 y (pow.f64 x #s(literal 1 binary64)) y)
(fma.f64 y (exp.f64 (log.f64 x)) y)
(fma.f64 y (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 y x))
(fma.f64 x y y)
(fma.f64 x (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y x y)) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) y)
(fma.f64 (*.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (fma.f64 y x y)) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
(fma.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (*.f64 x (*.f64 y (*.f64 y x))) (/.f64 #s(literal -1 binary64) (fma.f64 y x y)) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y) (*.f64 y x))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 y x y)) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (*.f64 y (*.f64 y x)) (/.f64 x (fma.f64 y x y)) (/.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) y (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 (*.f64 x x) (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x #s(literal 1 binary64))))
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(*.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (*.f64 y (fma.f64 y (*.f64 x x) y))) (fma.f64 y x y))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (fma.f64 y x y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 x x) y)))))) (fma.f64 (*.f64 y (fma.f64 y x y)) (-.f64 (*.f64 y (fma.f64 y x y)) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 y x)))) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)))) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x y)))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x y) (*.f64 (*.f64 y (fma.f64 y (*.f64 x x) y)) (*.f64 y (fma.f64 y (*.f64 x x) y)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y (*.f64 x x) y))))

simplify250.0ms (3.2%)

Memory
29.8MiB live, 314.6MiB allocated
Algorithm
egg-herbie
Rules
3 552×accelerator-lowering-fma.f32
3 552×accelerator-lowering-fma.f64
2 016×*-lowering-*.f32
2 016×*-lowering-*.f64
1 728×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020137
164137
2149137
3276137
4599137
51849137
63099137
73560137
83830137
94000137
104034137
114566137
125836137
136658137
146989137
157075137
167075137
177567137
08003137
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* -1 (* y (+ 1 (* -1 x))))
(* -1 (* y (+ 1 (* -1 x))))
(* -1 (* y (+ 1 (* -1 x))))
(* -1 (* y (+ 1 (* -1 x))))
(* -1 y)
(- (* x y) y)
(- (* x y) y)
(- (* x y) y)
(* x y)
(* x (+ y (* -1 (/ y x))))
(* x (+ y (* -1 (/ y x))))
(* x (+ y (* -1 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(* -1 (* x (+ (* -1 y) (/ y x))))
(* -1 (* x (+ (* -1 y) (/ y x))))
Outputs
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* y (- x 1))
(-.f64 (*.f64 y x) y)
(* y (- x 1))
(-.f64 (*.f64 y x) y)
(* y (- x 1))
(-.f64 (*.f64 y x) y)
(* y (- x 1))
(-.f64 (*.f64 y x) y)
(* y (- x 1))
(-.f64 (*.f64 y x) y)
(* y (- x 1))
(-.f64 (*.f64 y x) y)
(* y (- x 1))
(-.f64 (*.f64 y x) y)
(* y (- x 1))
(-.f64 (*.f64 y x) y)
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 y x) y)
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 y x) y)
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 y x) y)
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 y x) y)
(* -1 y)
(neg.f64 y)
(- (* x y) y)
(-.f64 (*.f64 y x) y)
(- (* x y) y)
(-.f64 (*.f64 y x) y)
(- (* x y) y)
(-.f64 (*.f64 y x) y)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ y x))))
(-.f64 (*.f64 y x) y)
(* x (+ y (* -1 (/ y x))))
(-.f64 (*.f64 y x) y)
(* x (+ y (* -1 (/ y x))))
(-.f64 (*.f64 y x) y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ y x))))
(-.f64 (*.f64 y x) y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(-.f64 (*.f64 y x) y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(-.f64 (*.f64 y x) y)

eval80.0ms (1%)

Memory
-24.0MiB live, 85.7MiB allocated
Compiler

Compiled 9 759 to 809 computations (91.7% saved)

prune128.0ms (1.7%)

Memory
-5.9MiB live, 79.5MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3931394
Fresh000
Picked022
Done044
Total3937400
Accuracy
100.0%
Counts
400 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(fma.f64 y x (neg.f64 y))
100.0%
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
62.4%
(-.f64 #s(literal 1 binary64) y)
40.2%
(*.f64 y x)
25.1%
(neg.f64 y)
2.6%
y
39.4%
#s(literal 1 binary64)
Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify4.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
y
Outputs
y

localize6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Samples
4.0ms256×0valid
Compiler

Compiled 3 to 4 computations (-33.3% saved)

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

series0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

rewrite7.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
batch-egg-rewrite
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

simplify3.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(fma.f64 y x (neg.f64 y))
100.0%
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
62.4%
(-.f64 #s(literal 1 binary64) y)
40.2%
(*.f64 y x)
25.1%
(neg.f64 y)
2.6%
y
39.4%
#s(literal 1 binary64)
Compiler

Compiled 80 to 39 computations (51.3% saved)

regimes36.0ms (0.5%)

Memory
-10.7MiB live, 26.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
y
(neg.f64 y)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y x)
(-.f64 (*.f64 y x) y)
(fma.f64 y x (neg.f64 y))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Outputs
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
Calls

4 calls:

25.0ms
(-.f64 #s(literal 1 binary64) y)
4.0ms
y
4.0ms
x
3.0ms
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
100.0%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes13.0ms (0.2%)

Memory
-6.7MiB live, 30.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
y
(neg.f64 y)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y x)
(-.f64 (*.f64 y x) y)
(fma.f64 y x (neg.f64 y))
Outputs
(fma.f64 y x (neg.f64 y))
#s(literal 1 binary64)
(-.f64 (*.f64 y x) y)
Calls

4 calls:

4.0ms
y
3.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) y)
3.0ms
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
89.5%3x
92.2%3y
92.0%3(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
91.4%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes3.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
y
(neg.f64 y)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y x)
(-.f64 (*.f64 y x) y)
Outputs
(-.f64 (*.f64 y x) y)
#s(literal 1 binary64)
(-.f64 (*.f64 y x) y)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
92.2%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory
-19.7MiB live, 24.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
y
(neg.f64 y)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y x)
Outputs
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(*.f64 y x)
Calls

4 calls:

4.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
x
2.0ms
y
2.0ms
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
88.8%3x
71.0%4(-.f64 #s(literal 1 binary64) y)
78.6%3(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
71.8%4y
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
y
(neg.f64 y)
(-.f64 #s(literal 1 binary64) y)
Outputs
(-.f64 #s(literal 1 binary64) y)
Calls

4 calls:

2.0ms
x
2.0ms
y
2.0ms
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
2.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
62.4%1(-.f64 #s(literal 1 binary64) y)
62.4%1y
62.4%1(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
62.4%1x
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Memory
-16.0MiB live, 22.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
y
(neg.f64 y)
Outputs
(neg.f64 y)
#s(literal 1 binary64)
(neg.f64 y)
Calls

4 calls:

3.0ms
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
2.0ms
x
2.0ms
y
2.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
61.6%3(-.f64 #s(literal 1 binary64) y)
61.6%3(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
39.4%1x
61.6%3y
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Accuracy

Total -23.8b remaining (-61.5%)

Threshold costs -23.8b (-61.5%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
y
Outputs
#s(literal 1 binary64)
Calls

4 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) y)
1.0ms
y
1.0ms
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
39.4%1x
39.4%1(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
39.4%1(-.f64 #s(literal 1 binary64) y)
39.4%1y
Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch34.0ms (0.4%)

Memory
-3.9MiB live, 73.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.556175104825983e-17
2.0130721227665046e-13
18.0ms
-1.0211289853401703e-61
-5.9370137336564534e-86
Samples
15.0ms151×1valid
7.0ms153×0valid
Compiler

Compiled 242 to 183 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 5.0ms (36.7% of total)
adjust: 3.0ms (22% of total)
ival-mult: 3.0ms (22% of total)
ival-add: 2.0ms (14.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch52.0ms (0.7%)

Memory
-17.3MiB live, 62.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
4.556175104825983e-17
2.0130721227665046e-13
19.0ms
-1.0211289853401703e-61
-5.9370137336564534e-86
Samples
33.0ms154×1valid
6.0ms150×0valid
Compiler

Compiled 242 to 183 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
adjust: 20.0ms (63.1% of total)
ival-sub: 7.0ms (22.1% of total)
ival-mult: 3.0ms (9.5% of total)
ival-add: 2.0ms (6.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
24.5MiB live, 62.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
4.648025799144299e+59
5.698509672101933e+63
12.0ms
-66085431.032532856
-0.0016981529829959055
Samples
10.0ms221×0valid
8.0ms67×1valid
Compiler

Compiled 230 to 174 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.4% of total)
ival-sub: 3.0ms (28.8% of total)
ival-add: 2.0ms (19.2% of total)
adjust: 1.0ms (9.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
-6.4MiB live, 32.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
3.701782775907656e-6
0.0008536882681989032
11.0ms
-7.659589215807124
-0.11230241036465571
Samples
9.0ms201×0valid
3.0ms13×2valid
1.0ms10×1valid
Compiler

Compiled 140 to 124 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
adjust: 2.0ms (26.5% of total)
ival-mult: 2.0ms (26.5% of total)
ival-sub: 2.0ms (26.5% of total)
ival-add: 1.0ms (13.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Memory
-35.5MiB live, 19.1MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
if-if-or-not_binary32
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03471
15271
25771
35871
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(if (<=.f64 y #s(literal -5094851926441913/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (fma.f64 y x (neg.f64 y)) (if (<=.f64 y #s(literal 8924260225606735/20282409603651670423947251286016 binary64)) #s(literal 1 binary64) (-.f64 (*.f64 y x) y)))
(if (<=.f64 y #s(literal -6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (-.f64 (*.f64 y x) y) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 binary64)) #s(literal 1 binary64) (-.f64 (*.f64 y x) y)))
(if (<=.f64 x #s(literal -56000000 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 93999999999999996669638410630917654552868600484755683252633600 binary64)) (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) y)
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 7839866231326559/9223372036854775808 binary64)) #s(literal 1 binary64) (neg.f64 y)))
#s(literal 1 binary64)
Outputs
(-.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(if (<=.f64 y #s(literal -5094851926441913/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (fma.f64 y x (neg.f64 y)) (if (<=.f64 y #s(literal 8924260225606735/20282409603651670423947251286016 binary64)) #s(literal 1 binary64) (-.f64 (*.f64 y x) y)))
(if (<=.f64 y #s(literal -6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (-.f64 (*.f64 y x) y) (if (<=.f64 y #s(literal 3961408125713217/39614081257132168796771975168 binary64)) #s(literal 1 binary64) (-.f64 (*.f64 y x) y)))
(if (<=.f64 x #s(literal -56000000 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 93999999999999996669638410630917654552868600484755683252633600 binary64)) (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) y)
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 7839866231326559/9223372036854775808 binary64)) #s(literal 1 binary64) (neg.f64 y)))
#s(literal 1 binary64)

soundness1.3s (16.2%)

Memory
46.6MiB live, 512.0MiB allocated
Rules
20 464×accelerator-lowering-fma.f32
20 464×accelerator-lowering-fma.f64
7 746×accelerator-lowering-fma.f32
7 746×accelerator-lowering-fma.f64
5 926×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068522
1186484
2490362
31713362
47522362
08222344
0823
15823
250123
3718523
0833021
054467
1167467
2427467
31009467
42713467
55283467
66779467
77483467
87607467
97681467
107695467
08134431
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 152 to 85 computations (44.1% saved)

preprocess85.0ms (1.1%)

Memory
-28.3MiB live, 174.5MiB allocated
Compiler

Compiled 200 to 94 computations (53% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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