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

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample957.0ms (13.4%)

Memory
12.6MiB live, 1 116.4MiB allocated
Samples
359.0ms1 870×1valid
333.0ms6 384×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 459.0ms
ival-mult: 247.0ms (53.9% of total)
ival-sub: 116.0ms (25.3% of total)
ival-add: 47.0ms (10.2% of total)
adjust: 36.0ms (7.8% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain91.0ms (1.3%)

Memory
-10.4MiB live, 156.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
693(1162469557167581.0 2.7396645407574964e-181)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)))cancellation720
Confusion
Predicted +Predicted -
+690
-3184
Precision
0.9583333333333334
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6900
-30184
Precision?
0.9583333333333334
Recall?
1.0
Freqs
test
numberfreq
0184
172
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
20.0ms378×0valid
16.0ms134×1valid
Compiler

Compiled 65 to 25 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sub: 8.0ms (43.4% of total)
ival-mult: 4.0ms (21.7% of total)
adjust: 3.0ms (16.3% of total)
ival-add: 3.0ms (16.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess421.0ms (5.9%)

Memory
12.1MiB live, 325.7MiB allocated
Algorithm
egg-herbie
Rules
28 144×lower-fma.f64
28 144×lower-fma.f32
3 456×lower-*.f32
3 454×lower-*.f64
2 596×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01753
14446
214345
361145
4210835
5365135
6467935
7513435
8539935
9557535
10567635
11579635
12611935
13678135
14716435
15746835
16784535
079
0119
1199
2389
31069
43617
512977
631837
748817
856077
958677
1060637
1161557
1263137
1366927
1469057
1570577
1671337
1771767
1873087
1978147
080206
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Outputs
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.7%
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify386.0ms (5.4%)

Memory
40.4MiB live, 259.3MiB 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
28 144×lower-fma.f64
28 144×lower-fma.f32
3 456×lower-*.f32
3 454×lower-*.f64
2 596×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01125
11925
23825
310625
436123
5129723
6318323
7488123
8560723
9586723
10606323
11615523
12631323
13669223
14690523
15705723
16713323
17717623
18730823
19781423
0802022
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
x
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) y)
y
Outputs
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
x
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) y)
y

localize94.0ms (1.3%)

Memory
-11.9MiB live, 130.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.02734375
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
accuracy16.157611519180982
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Samples
71.0ms189×0valid
7.0ms67×1valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 64.0ms (90.8% of total)
ival-sub: 3.0ms (4.3% of total)
adjust: 1.0ms (1.4% of total)
ival-add: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-30.0MiB live, 9.2MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (- 1 y) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (- 1 y)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) (patch (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 y) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (* x (- 1 y)))) y) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (* x (- 1 y)))) y) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (* x (- 1 y)))) y) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 y))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (* y (- 1 x)))) x) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (* y (- 1 x)))) x) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (* y (- 1 x)))) x) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
Calls

18 calls:

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

simplify201.0ms (2.8%)

Memory
24.4MiB live, 221.7MiB allocated
Algorithm
egg-herbie
Rules
20 464×lower-fma.f64
20 464×lower-fma.f32
3 336×lower-+.f64
3 336×lower-+.f32
2 646×lower--.f64
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)
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* -1 (* y (- 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* -1 (* y (- 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(- (+ 1 (* -1 (* x (- 1 y)))) y)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* -1 (* x (- 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* -1 (* x (- 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* -1 (* y (- 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* -1 (* y (- 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
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)

rewrite464.0ms (6.5%)

Memory
-3.4MiB live, 192.8MiB allocated
Rules
5 364×lower-fma.f64
5 364×lower-fma.f32
3 608×lower-*.f32
3 606×lower-*.f64
2 212×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01122
15222
243122
3548722
0868121
Stop Event
iter limit
node limit
iter limit
Counts
4 → 523
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)) (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y) x))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))))) (fma.f64 x x (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) x))
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y)) (fma.f64 y y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)

eval132.0ms (1.9%)

Memory
-16.9MiB live, 143.9MiB allocated
Compiler

Compiled 14 196 to 1 518 computations (89.3% saved)

prune138.0ms (1.9%)

Memory
4.4MiB live, 202.2MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5905595
Fresh000
Picked101
Done000
Total5915596
Accuracy
100.0%
Counts
596 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
58.8%
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
67.0%
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
41.1%
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
33.7%
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
Compiler

Compiled 66 to 40 computations (39.4% saved)

simplify352.0ms (4.9%)

Memory
12.2MiB live, 283.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
cost-diff0
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
Rules
28 432×lower-fma.f32
28 430×lower-fma.f64
3 312×lower-*.f32
3 308×lower-*.f64
2 644×lower-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
017102
022102
138102
266102
3150102
439887
5136387
6338087
7501387
8572987
9598887
10618687
11627887
12640887
13683987
14706087
15721287
16728887
17745587
18747587
19797787
0800987
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(fma.f64 y x (-.f64 #s(literal 1 binary64) y))
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y

localize45.0ms (0.6%)

Memory
17.2MiB live, 91.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.01953125
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
accuracy21.099877141769515
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
accuracy0
(*.f64 x y)
accuracy37.66693507808991
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy26.3501364620464
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
accuracy42.4145112219463
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
accuracy0
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
Samples
15.0ms189×0valid
14.0ms67×1valid
Compiler

Compiled 82 to 13 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (33.7% of total)
ival-sub: 4.0ms (27% of total)
ival-add: 3.0ms (20.2% of total)
adjust: 2.0ms (13.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
-45.3MiB live, 23.8MiB allocated
Counts
10 → 216
Calls
Call 1
Inputs
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) (patch (fma.f64 x y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (- 1 y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 y) (* x y)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* x y)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* x y)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

54 calls:

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

simplify141.0ms (2%)

Memory
4.9MiB live, 197.8MiB allocated
Algorithm
egg-herbie
Rules
13 176×lower-fma.f64
13 176×lower-fma.f32
2 226×lower-*.f64
2 226×lower-*.f32
1 990×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0731886
12251740
25431123
314341123
450921123
081231015
Stop Event
iter limit
node limit
Counts
216 → 214
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 (* 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 (* 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
(+ 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))))
(- 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 (* 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 (* 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)))))
(* 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)
(- 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 y) (* x y))
(+ (* -1 y) (* x y))
(+ (* -1 y) (* x 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))))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* y (- x 1))
(* 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
(- 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 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x y)) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x y)) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x y)) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x (- (+ y (/ 1 x)) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ y (/ 1 x)) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ y (/ 1 x)) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #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)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x y))
(-.f64 (*.f64 x y) y)
(+ (* -1 y) (* x y))
(-.f64 (*.f64 x y) y)
(+ (* -1 y) (* x y))
(-.f64 (*.f64 x y) y)
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(-.f64 (*.f64 x y) y)
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(-.f64 (*.f64 x y) y)
(* x (+ y (* -1 (/ y x))))
(-.f64 (*.f64 x y) y)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(-.f64 (*.f64 x y) y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(-.f64 (*.f64 x y) y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(-.f64 (*.f64 x y) y)
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(-.f64 (*.f64 x y) y)
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(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
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(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite151.0ms (2.1%)

Memory
10.7MiB live, 243.9MiB allocated
Rules
8 474×lower-fma.f32
8 472×lower-fma.f64
5 022×lower-*.f32
5 018×lower-*.f64
4 056×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01788
02288
19188
275188
0857483
Stop Event
iter limit
node limit
iter limit
Counts
10 → 281
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
(*.f64 x y)
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(-.f64 x #s(literal 1 binary64))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (fma.f64 y x (+.f64 y #s(literal 1 binary64))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) y)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))))
(*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 y) y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)) (*.f64 y (+.f64 y (fma.f64 y x #s(literal 1 binary64)))))))
(*.f64 (*.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 x) y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y x) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))))))
(*.f64 (*.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y)))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))) (*.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))))))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y x) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y x) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y)))))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y x) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y))) (fma.f64 y x (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))))))
(*.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (fma.f64 y x #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y x #s(literal -1 binary64)) y))) (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
(+.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval342.0ms (4.8%)

Memory
-2.7MiB live, 118.7MiB allocated
Compiler

Compiled 8 360 to 760 computations (90.9% saved)

prune85.0ms (1.2%)

Memory
13.1MiB live, 143.7MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5593562
Fresh000
Picked235
Done000
Total5616567
Accuracy
100.0%
Counts
567 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.0%
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
74.0%
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
58.8%
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
41.1%
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
27.8%
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
33.7%
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
Compiler

Compiled 38 to 21 computations (44.7% saved)

simplify281.0ms (3.9%)

Memory
-1.1MiB live, 228.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 y x (neg.f64 y))
cost-diff0
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
cost-diff0
#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff0
(fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
Rules
30 360×lower-fma.f32
30 356×lower-fma.f64
3 392×lower-*.f64
3 392×lower-*.f32
2 668×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01583
02083
13583
26283
315083
442177
5127277
6326777
7495377
8568877
9598077
10621977
11632277
12645677
13691477
14714377
15727977
16748877
17753577
18754977
0805174
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
(fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))
x
y
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
(fma.f64 y x (neg.f64 y))
y
x
(neg.f64 y)
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))))
(fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))
(fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))
x
y
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
(fma.f64 y x (neg.f64 y))
y
x
(neg.f64 y)

localize78.0ms (1.1%)

Memory
-22.6MiB live, 65.7MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y x (neg.f64 y))
accuracy0
(neg.f64 y)
accuracy21.099877141769515
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
accuracy0
(fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy0
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
accuracy32.39583397989494
#s(approx (- 1 y) #s(literal 1 binary64))
accuracy0
(neg.f64 y)
accuracy26.3501364620464
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
accuracy30.31509813368503
#s(approx (- 1 y) (neg.f64 y))
Samples
26.0ms189×0valid
11.0ms67×1valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sub: 14.0ms (51.7% of total)
ival-mult: 6.0ms (22.2% of total)
ival-add: 4.0ms (14.8% of total)
adjust: 2.0ms (7.4% of total)
ival-neg: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) (patch (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (- 1 y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 x)))) (taylor -inf y) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) y) (taylor 0 x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) y) (taylor 0 x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) y) (taylor 0 x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 y x (neg.f64 y)) (patch (fma.f64 y x (neg.f64 y)) #<representation binary64>) () ())) ())
Calls

39 calls:

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

simplify154.0ms (2.2%)

Memory
21.3MiB live, 137.7MiB allocated
Algorithm
egg-herbie
Rules
11 530×lower-fma.f64
11 530×lower-fma.f32
2 248×lower--.f64
2 248×lower--.f32
1 928×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0681224
12101142
2502785
31393785
45209785
57359785
08196713
Stop Event
iter limit
node limit
Counts
156 → 156
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
(+ 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))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- 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 (* 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 (* 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
(+ 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))))
(- 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)))))
(* 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)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #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)
(* -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)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x y)) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x y)) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x y)) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x (- (+ y (/ 1 x)) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ y (/ 1 x)) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ y (/ 1 x)) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 1 y) x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 x)) (/ 1 y))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #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)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(-.f64 (*.f64 x y) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 x y) y)
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 x y) y)
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 x y) y)
(* -1 (* y (+ 1 (* -1 x))))
(-.f64 (*.f64 x y) y)
(* -1 y)
(neg.f64 y)
(- (* x y) y)
(-.f64 (*.f64 x y) y)
(- (* x y) y)
(-.f64 (*.f64 x y) y)
(- (* x y) y)
(-.f64 (*.f64 x y) y)
(* x y)
(*.f64 x y)
(* x (+ y (* -1 (/ y x))))
(-.f64 (*.f64 x y) y)
(* x (+ y (* -1 (/ y x))))
(-.f64 (*.f64 x y) y)
(* x (+ y (* -1 (/ y x))))
(-.f64 (*.f64 x y) y)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(-.f64 (*.f64 x y) y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(-.f64 (*.f64 x y) y)
(* -1 (* x (+ (* -1 y) (/ y x))))
(-.f64 (*.f64 x y) y)

rewrite268.0ms (3.8%)

Memory
-16.8MiB live, 181.6MiB allocated
Rules
8 326×lower-fma.f32
8 322×lower-fma.f64
4 518×lower-*.f64
4 518×lower-*.f32
3 308×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01575
02075
19775
273770
0913467
Stop Event
iter limit
node limit
iter limit
Counts
8 → 220
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
(fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
(fma.f64 y x (neg.f64 y))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (- 1 y) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 (*.f64 y y) y) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 y y) y) (*.f64 y y))
(/.f64 (*.f64 y y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)))
(neg.f64 y)
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
y
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64))))))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (- 1 y) #s(literal 1 binary64))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (- 1 y) #s(literal 1 binary64)))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (*.f64 x x) y)) y (*.f64 (*.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (- 1 y) #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) y) y)))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))))
(*.f64 (*.f64 (neg.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))))))
(*.f64 (*.f64 (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64)))) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(approx (- 1 y) #s(literal 1 binary64))))))
(*.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64)))))
(*.f64 (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) #s(approx (- 1 y) #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (- 1 y) #s(literal 1 binary64))))
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(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y x y)) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(fma.f64 x y y)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y))))
(-.f64 (/.f64 y (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))))
(-.f64 (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 y x y))
(-.f64 (*.f64 y x) y)
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y x y))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y x y))
(+.f64 (*.f64 (*.f64 x x) (/.f64 y (-.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 x #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y x y))
(+.f64 (*.f64 y x) y)
(+.f64 y (*.f64 y x))

eval70.0ms (1%)

Memory
12.1MiB live, 87.1MiB allocated
Compiler

Compiled 6 396 to 497 computations (92.2% saved)

prune59.0ms (0.8%)

Memory
3.2MiB live, 86.2MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4111412
Fresh000
Picked033
Done033
Total4117418
Accuracy
100.0%
Counts
418 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.0%
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
74.0%
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
58.8%
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
41.1%
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
27.8%
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
2.7%
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
33.7%
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
Compiler

Compiled 43 to 23 computations (46.5% saved)

simplify359.0ms (5%)

Memory
-16.3MiB live, 212.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 y) y)
cost-diff0
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
Rules
30 512×lower-fma.f64
30 512×lower-fma.f32
3 744×lower-*.f64
3 744×lower-*.f32
2 596×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
0921
11721
23621
310421
435819
5129819
6317419
7484519
8556219
9582019
10601619
11610819
12626619
13664519
14685819
15701019
16708619
17712919
18726119
19776719
0822318
Stop Event
iter limit
node limit
saturated
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (- 1 y) y)
y
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (- 1 y) y)
y

localize21.0ms (0.3%)

Memory
33.6MiB live, 33.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy26.3501364620464
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
accuracy62.64469381103202
#s(approx (- 1 y) y)
Samples
8.0ms189×0valid
6.0ms67×1valid
Compiler

Compiled 15 to 9 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (36.5% of total)
ival-mult: 2.0ms (24.3% of total)
adjust: 1.0ms (12.2% of total)
ival-add: 1.0ms (12.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())
Outputs
#s(alt (- 1 y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) (taylor 0 x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) (taylor -inf x) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (+ x (/ 1 y))))) (taylor -inf y) (#s(alt #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) (patch #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (- 1 y) y) (patch #s(approx (- 1 y) y) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify160.0ms (2.2%)

Memory
-8.9MiB live, 119.7MiB allocated
Algorithm
egg-herbie
Rules
14 282×lower-fma.f64
14 282×lower-fma.f32
2 722×lower--.f64
2 722×lower--.f32
1 988×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041280
1114260
2297178
3986178
44695178
56872178
08202160
Stop Event
iter limit
node limit
Counts
36 → 36
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
(+ 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)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (- 1 y))))
(*.f64 x y)
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- 1 (+ x (/ 1 y)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #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)

rewrite266.0ms (3.7%)

Memory
-43.6MiB live, 161.6MiB allocated
Rules
5 364×lower-fma.f64
5 364×lower-fma.f32
3 608×lower-*.f64
3 608×lower-*.f32
2 212×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
0920
15020
242920
3549520
0868819
Stop Event
iter limit
node limit
saturated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (- 1 y) y)
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (- 1 y) y)

eval4.0ms (0.1%)

Memory
8.7MiB live, 8.8MiB allocated
Compiler

Compiled 216 to 9 computations (95.8% saved)

prune4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done066
Total38745
Accuracy
100.0%
Counts
45 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.0%
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
74.0%
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
58.8%
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
41.1%
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
27.8%
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
2.7%
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
33.7%
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
Compiler

Compiled 96 to 37 computations (61.5% saved)

regimes15.0ms (0.2%)

Memory
24.1MiB live, 24.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
Calls

4 calls:

4.0ms
y
4.0ms
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
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)

regimes35.0ms (0.5%)

Memory
-10.9MiB live, 32.7MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))
Calls

4 calls:

3.0ms
x
3.0ms
y
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
98.9%3x
99.5%3y
99.5%3(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
99.5%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes11.0ms (0.1%)

Memory
-24.4MiB live, 15.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
Calls

3 calls:

3.0ms
y
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
99.4%3y
99.4%3(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
99.4%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))
Calls

4 calls:

3.0ms
y
3.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
98.9%3x
79.0%3y
87.9%5(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
79.0%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes3.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
87.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.4%)

Memory
-23.1MiB live, 16.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
Calls

4 calls:

24.0ms
y
2.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
58.8%1(-.f64 #s(literal 1 binary64) y)
58.8%1y
58.8%1(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
58.8%1x
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) y))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))
Calls

4 calls:

2.0ms
y
2.0ms
x
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
58.3%3(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
58.3%3y
58.3%3(-.f64 #s(literal 1 binary64) y)
40.0%3x
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Accuracy

Total -20.2b remaining (-47.7%)

Threshold costs -20.2b (-47.7%)

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

4 calls:

1.0ms
y
1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) y)
1.0ms
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
33.7%1x
33.7%1(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))
33.7%1y
33.7%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000058922
1.0000000001435043
0.0ms
-187561227910.68756
-84.36910860856587
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000058922
1.0000000001435043
0.0ms
-187561227910.68756
-84.36910860856587
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch30.0ms (0.4%)

Memory
-21.4MiB live, 59.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
2.098386402953174e-8
0.0016654131914302897
16.0ms
-1577680328172732.5
-1700141266.9827127
Samples
17.0ms274×0valid
1.0ms14×1valid
Compiler

Compiled 302 to 192 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 8.0ms (69.6% of total)
ival-mult: 2.0ms (17.4% of total)
ival-add: 1.0ms (8.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Memory
13.6MiB live, 52.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
5.913248353638036e+41
1.0149155614380087e+43
13.0ms
-1.374147221528039e+90
-4.6288454802733874e+85
Samples
9.0ms106×1valid
6.0ms134×0valid
Compiler

Compiled 224 to 147 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 3.0ms (31.4% of total)
adjust: 2.0ms (21% of total)
ival-mult: 2.0ms (21% of total)
ival-add: 2.0ms (21% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1164762193.437463
485644447010059.06
0.0ms
-187561227910.68756
-84.36910860856587
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify10.0ms (0.1%)

Memory
-17.1MiB live, 21.7MiB allocated
Algorithm
egg-herbie
Rules
12×unsub-neg_binary64
10×*-commutative_binary64
10×neg-mul-1_binary64
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049319
160319
266319
372319
479319
590319
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953477607/562949953421312 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953477607/562949953421312 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))))
(if (<=.f64 x #s(literal -1720000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -47999999999999999321924101714281147999610890962098352355151523350072914451550269603840 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) (if (<=.f64 x #s(literal 1219999999999999995958417601197055420661760 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))
Outputs
#s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953477607/562949953421312 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 y x (neg.f64 y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953477607/562949953421312 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))))
(if (<=.f64 x #s(literal -1720000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 3804640965202595/2305843009213693952 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (fma.f64 x y #s(approx (- 1 y) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -47999999999999999321924101714281147999610890962098352355151523350072914451550269603840 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y)) (if (<=.f64 x #s(literal 1219999999999999995958417601197055420661760 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 x y))))
(if (<=.f64 x #s(literal -47999999999999999321924101714281147999610890962098352355151523350072914451550269603840 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x)) (if (<=.f64 x #s(literal 1219999999999999995958417601197055420661760 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y)) #s(approx (+ x (* (- 1 x) (- 1 y))) (*.f64 y x))))
#s(approx (+ x (* (- 1 x) (- 1 y))) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -100000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2000000000 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64)) #s(approx (+ x (* (- 1 x) (- 1 y))) #s(approx (- 1 y) (neg.f64 y)))))
#s(approx (+ x (* (- 1 x) (- 1 y))) #s(literal 1 binary64))

soundness1.1s (15.3%)

Memory
17.7MiB live, 579.5MiB allocated
Rules
20 464×lower-fma.f64
20 464×lower-fma.f32
13 176×lower-fma.f64
13 176×lower-fma.f32
8 474×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01788
02288
19188
275188
0857483
068522
1186484
2490362
31713362
47522362
08222344
0731886
12251740
25431123
314341123
450921123
081231015
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 249 to 109 computations (56.2% saved)

preprocess85.0ms (1.2%)

Memory
0.9MiB live, 118.8MiB allocated
Compiler

Compiled 322 to 96 computations (70.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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