Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, D

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.2%)

Memory
33.3MiB live, 33.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.1s (15.5%)

Memory
32.6MiB live, 1 713.6MiB allocated
Samples
393.0ms6 340×0valid
267.0ms1 616×1valid
80.0ms300×2valid
Precisions
Click to see histograms. Total time spent on operations: 497.0ms
ival-sub: 148.0ms (29.8% of total)
ival-add: 103.0ms (20.7% of total)
ival-div: 88.0ms (17.7% of total)
ival-mult: 88.0ms (17.7% of total)
adjust: 55.0ms (11.1% of total)
ival-true: 7.0ms (1.4% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain233.0ms (3.3%)

Memory
-31.8MiB live, 157.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
540-0-(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
300-0-(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) 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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))cancellation541
/.f64(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))o/n300
(*.f64 (-.f64 #s(literal 1 binary64) x) y)overflow30
Confusion
Predicted +Predicted -
+840
-0172
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8400
-01171
Precision?
0.9882352941176471
Recall?
1.0
Freqs
test
numberfreq
0172
184
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms418×0valid
18.0ms76×1valid
4.0ms18×2valid
Compiler

Compiled 117 to 36 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
adjust: 11.0ms (36.5% of total)
ival-sub: 6.0ms (19.9% of total)
ival-div: 4.0ms (13.3% of total)
ival-mult: 4.0ms (13.3% of total)
ival-add: 3.0ms (10% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess160.0ms (2.3%)

Memory
1.0MiB live, 77.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261
15857
218055
353955
4158455
5389355
6462555
7495655
8496055
9496055
10517655
11527255
12527255
13527255
0811
01311
12311
24811
312011
436111
590111
6173911
7194111
8196511
0196510
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify54.0ms (0.8%)

Memory
-6.4MiB live, 32.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
cost-diff128
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
01334
12334
24834
312034
436134
590134
6173934
7194134
8196534
0196533
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
x
y
(+.f64 y #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
y
(+.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal -1 binary64))

localize68.0ms (1%)

Memory
1.6MiB live, 44.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy7.046234092301343
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
accuracy11.552496081653457
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Samples
36.0ms38×1valid
23.0ms209×0valid
2.0ms2valid
Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 3.0ms (28.3% of total)
ival-div: 2.0ms (18.9% of total)
ival-add: 2.0ms (18.9% of total)
ival-mult: 2.0ms (18.9% of total)
adjust: 1.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (* y (- x 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ 1 y)) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (+ x (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (+ x (/ 1 y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) 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 (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<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 (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<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>) () ())) ())
Calls

6 calls:

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

simplify260.0ms (3.7%)

Memory
-29.9MiB live, 167.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127823
1400799
21127684
34559669
08305648
Stop Event
iter limit
node limit
Counts
96 → 91
Calls
Call 1
Inputs
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* y (- 1 x))
(* y (- (+ 1 (* y (- x 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(- 1 (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(/ y (+ 1 y))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* -1 (/ (* x y) (+ 1 y)))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (/ (* x y) (+ 1 y)))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
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 (* y (- 1 x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) y)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (+ 1 (* y (- x 1))) x))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) y)) y)
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y)
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) y)) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
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(- 1 x)
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(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
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(* y (+ 1 (/ 1 y)))
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x
(+ x (* -1 (/ (- x 1) y)))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) x) y)
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(*.f64 (-.f64 #s(literal 1 binary64) x) y)
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(*.f64 (-.f64 #s(literal 1 binary64) x) y)
y
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(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(- 1 (/ y (+ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/ y (+ 1 y))
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(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
y
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
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(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (/ (* x y) (+ 1 y)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
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(-.f64 #s(literal 1 binary64) x)
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(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (/ (* x y) (+ 1 y)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -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)

rewrite199.0ms (2.8%)

Memory
14.5MiB live, 169.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01331
16331
253331
0851730
Stop Event
iter limit
node limit
iter limit
Counts
5 → 473
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
(+.f64 y #s(literal 1 binary64))
Outputs
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eval153.0ms (2.2%)

Memory
1.5MiB live, 197.2MiB allocated
Compiler

Compiled 12 316 to 1 657 computations (86.5% saved)

prune20.0ms (0.3%)

Memory
27.6MiB live, 66.6MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New55113564
Fresh000
Picked011
Done000
Total55114565
Accuracy
100.0%
Counts
565 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.9%
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
67.2%
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
52.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))))
52.2%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
53.7%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))
71.0%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
40.5%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
30.6%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
48.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
52.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
48.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
48.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
55.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
39.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
Compiler

Compiled 435 to 268 computations (38.4% saved)

simplify153.0ms (2.2%)

Memory
-24.9MiB live, 210.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
cost-diff64
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
cost-diff128
(-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff0
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
cost-diff0
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 #s(literal -1 binary64) y)
cost-diff0
(/.f64 y (-.f64 #s(literal -1 binary64) y))
cost-diff0
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027231
043231
176231
2159227
3431227
41589223
55714223
67819223
08024221
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 y (-.f64 #s(literal -1 binary64) y))
y
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
x
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
(-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
x
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(-.f64 x #s(literal 1 binary64))
Outputs
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(/.f64 y (-.f64 #s(literal -1 binary64) y))
y
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
x
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
x
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(-.f64 x #s(literal 1 binary64))

localize83.0ms (1.2%)

Memory
35.4MiB live, 195.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy0.05859375
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
accuracy0.109375
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
accuracy32.678358313539604
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.01171875
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy0.1171875
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
accuracy32.83912070701494
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
accuracy0.01171875
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
accuracy32.80126197106163
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
accuracy38.95292932723969
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(-.f64 #s(literal -1 binary64) y)
accuracy0.0078125
(/.f64 y (-.f64 #s(literal -1 binary64) y))
accuracy11.572965774743189
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Samples
36.0ms209×0valid
23.0ms38×1valid
5.0ms2valid
Compiler

Compiled 383 to 48 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-sub: 17.0ms (37.3% of total)
ival-div: 12.0ms (26.3% of total)
ival-mult: 6.0ms (13.2% of total)
adjust: 5.0ms (11% of total)
ival-add: 5.0ms (11% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
1.9MiB live, 76.9MiB allocated
Counts
16 → 336
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 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 (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (patch (-.f64 x (/.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>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) (patch (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) (patch (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 y (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- y 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 y (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ 1 (* -1 y))) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 y (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (+ 1 (* y (- y 1)))) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 y (-.f64 #s(literal -1 binary64) y)) #<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 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 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 (* x y)) (/ 1 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 (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>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) (patch (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) (patch (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) (patch (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) (patch (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) (patch (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) (patch (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) (patch (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) (patch (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((+ (* (/ y (- -1 y)) (- 1 x)) 1) (/ y (- -1 y)) (- -1 y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y))
3.0ms
y
@-inf
((+ (* (/ y (- -1 y)) (- 1 x)) 1) (/ y (- -1 y)) (- -1 y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y))
3.0ms
x
@0
((+ (* (/ y (- -1 y)) (- 1 x)) 1) (/ y (- -1 y)) (- -1 y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y))
3.0ms
x
@inf
((+ (* (/ y (- -1 y)) (- 1 x)) 1) (/ y (- -1 y)) (- -1 y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y))
2.0ms
y
@0
((+ (* (/ y (- -1 y)) (- 1 x)) 1) (/ y (- -1 y)) (- -1 y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (- 1 x) y) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y))

simplify224.0ms (3.2%)

Memory
-18.2MiB live, 417.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03104374
19853778
232673532
084663404
Stop Event
iter limit
node limit
Counts
336 → 320
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))
(* -1 y)
(* y (- y 1))
(* y (- (* y (+ 1 (* -1 y))) 1))
(* y (- (* y (+ 1 (* y (- y 1)))) 1))
-1
(- (* -1 y) 1)
(- (* -1 y) 1)
(- (* -1 y) 1)
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(/ (- 1 x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* -1 (/ (- 1 x) (pow y 2)))
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 2))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) (pow y 3))
(/ (- (* y (- x 1)) (* -1 (- 1 x))) (pow y 3))
(/ (- (* y (- (+ x (* y (- 1 x))) 1)) (* -1 (- 1 x))) (pow y 3))
(/ (- (* y (- (+ x (* y (- (+ 1 (* x y)) x))) 1)) (* -1 (- 1 x))) (pow y 3))
(* -1 (/ (- 1 x) (pow y 2)))
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 2))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))) (pow y 2))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))) (pow y 2))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* -1 (/ (- 1 x) (pow y 3)))
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 3))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))) (pow y 3))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))) (pow y 3))
(+ 1 (* -1 (- 1 x)))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))
-1
(- (/ 1 y) 1)
(- (/ 1 y) (+ 1 (/ 1 (pow y 2))))
(- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2))))
(* -1 y)
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(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))
(+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x)
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x)
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x)
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) (/.f64 x y) x)
(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y) x) x (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) (/.f64 x y) x))
(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y) x) x (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) (/.f64 x y) x))
(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y) x) x (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) (/.f64 x y) x))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))
(+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x)
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) x) (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) x) (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) x) (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (/ (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
(fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) x) x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
(fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) x) x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
(fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) x) x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y))

rewrite180.0ms (2.5%)

Memory
-25.1MiB live, 306.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027187
043187
1220183
22246183
08559183
Stop Event
iter limit
node limit
iter limit
Counts
16 → 391
Calls
Call 1
Inputs
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 y (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal -1 binary64) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(-.f64 x #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
Outputs
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eval127.0ms (1.8%)

Memory
38.5MiB live, 309.1MiB allocated
Compiler

Compiled 18 378 to 2 303 computations (87.5% saved)

prune33.0ms (0.5%)

Memory
-6.2MiB live, 117.4MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New8918899
Fresh088
Picked235
Done011
Total89320913
Accuracy
100.0%
Counts
913 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.9%
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
67.2%
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
52.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))))
52.2%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
53.7%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))
71.0%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
40.5%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
30.6%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
52.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
48.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
48.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
48.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
43.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
55.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
37.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
8.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
8.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y)))
7.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
39.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
43.5%
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
Compiler

Compiled 497 to 331 computations (33.4% saved)

simplify191.0ms (2.7%)

Memory
2.9MiB live, 204.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
cost-diff0
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
cost-diff192
(fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ (- x 1) y) (/.f64 x y))
cost-diff0
(-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
cost-diff0
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
cost-diff192
(-.f64 x #s(literal 0 binary64))
cost-diff0
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
cost-diff704
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043289
066285
1113285
2283285
3952285
43245281
57602281
08070276
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) y)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
(-.f64 x #s(literal 0 binary64))
x
#s(literal 0 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
(-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))
x
#s(approx (/ (- x 1) y) (/.f64 x y))
(/.f64 x y)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
#s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
x
(/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
(fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(-.f64 x #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) y)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
(-.f64 x #s(literal 0 binary64))
x
x
#s(literal 0 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
(-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))
x
#s(approx (/ (- x 1) y) (/.f64 x y))
(/.f64 x y)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64)) y)))
#s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y))
#s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64)) y))
(/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64)) y)
(fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)) y) x))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)) y) x)
x
(/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y) x) #s(literal 1 binary64)) y)
(fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y) x) #s(literal 1 binary64))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(-.f64 x #s(literal 1 binary64))

localize129.0ms (1.8%)

Memory
-29.6MiB live, 249.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
accuracy0.109375
(fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
accuracy32.678358313539604
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
accuracy33.273148172613574
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0
#s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y))
accuracy7.050140342301343
(/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)
accuracy32.80126197106163
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
accuracy0
(/.f64 x y)
accuracy0.00390625
(-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))
accuracy30.00723368179573
#s(approx (/ (- x 1) y) (/.f64 x y))
accuracy32.80126197106163
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
accuracy0
(-.f64 x #s(literal 0 binary64))
accuracy36.18458732381652
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.08203125
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
accuracy11.578241628795798
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
accuracy16.134710031963728
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
Samples
61.0ms209×0valid
22.0ms38×1valid
8.0ms2valid
Compiler

Compiled 418 to 70 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-div: 24.0ms (34.9% of total)
ival-sub: 15.0ms (21.8% of total)
ival-mult: 13.0ms (18.9% of total)
ival-add: 11.0ms (16% of total)
adjust: 5.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.8%)

Memory
38.1MiB live, 76.8MiB allocated
Counts
20 → 420
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 0 binary64)) (patch (-.f64 x #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64))) (patch #s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))) (patch (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x 1) y) (/.f64 x y)) (patch #s(approx (/ (- x 1) y) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) (patch (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) (patch (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (* (pow y 2) (- x 1)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- x 1))) 1)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@0
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- x 0) (+ (* (/ y (- -1 y)) (- 1 x)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (- y 1) (- 1 x))
4.0ms
x
@-inf
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- x 0) (+ (* (/ y (- -1 y)) (- 1 x)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (- y 1) (- 1 x))
3.0ms
x
@inf
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- x 0) (+ (* (/ y (- -1 y)) (- 1 x)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (- y 1) (- 1 x))
3.0ms
x
@0
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- x 0) (+ (* (/ y (- -1 y)) (- 1 x)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (- y 1) (- 1 x))
3.0ms
y
@-inf
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (- x 0) (+ (* (/ y (- -1 y)) (- 1 x)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y) (- y 1) (- 1 x))

simplify212.0ms (3%)

Memory
-4.8MiB live, 313.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04275130
113564642
244614328
082484182
Stop Event
iter limit
node limit
Counts
420 → 392
Calls
Call 1
Inputs
1
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1
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x
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x
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x
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x
(- (+ x (/ 1 y)) (/ x y))
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x
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x
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(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))))
(* -1 (* x (+ (* -1 (/ y (* x (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
x
x
x
(/ (* x y) (+ 1 y))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(/ (* x (- y 1)) y)
(* -1 (* x (- (* -1 (/ (- y 1) y)) (/ 1 (* x y)))))
(* -1 (* x (- (* -1 (/ (- y 1) y)) (/ 1 (* x y)))))
(* -1 (* x (- (* -1 (/ (- y 1) y)) (/ 1 (* x y)))))
(* x (- y 1))
(* -1 (* x (- (* -1 (- y 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- y 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- y 1)) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2))))))
(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
(* -1 (/ (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) y))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
1
#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 (- 1 x)) (* y (- 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #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)) (* (pow y 2) (- x 1))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- x 1))) 1))))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- (* (pow y 2) (- x 1)) (* -1 (- x 1))))) 1))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(* -1 y)
(neg.f64 y)
(* y (- (* -1 (pow y 2)) 1))
(-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y)
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(*.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) y #s(literal -1 binary64)) y)
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)
1
#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 (* y (- x 1))) (* -1 (- 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #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 (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64))
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)
(/ (- x 1) y)
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(/ (- x 1) y)
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(/ (- x 1) y)
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(/ (- x 1) y)
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
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 (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64))
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)
(/ (+ 1 (* -1 x)) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (+ 1 (+ (* -1 x) (* x y))) y)
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)
(/ (+ 1 (+ (* -1 x) (* x y))) y)
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)
(/ (+ 1 (+ (* -1 x) (* x y))) y)
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (+ (* -1 x) (* x y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* x y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* x y)))
(fma.f64 x y (-.f64 #s(literal 1 binary64) x))
(* -1 (/ (- 1 x) (pow y 2)))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 2))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))) (pow y 2))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) (*.f64 y y))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))) (pow y 2))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) (*.f64 y y))
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 (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64))
(/ (- 1 x) (pow y 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))
(/ (- (* y (- x 1)) (* -1 (- 1 x))) (pow y 3))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64)))
(/ (- (* y (- (+ x (* y (- 1 x))) 1)) (* -1 (- 1 x))) (pow y 3))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/ (- (* y (- (+ x (* y (- (+ 1 (* x y)) x))) 1)) (* -1 (- 1 x))) (pow y 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (/ (- 1 x) (pow y 3)))
(/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 3))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))) (pow y 3))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x))) (pow y 3))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) (pow.f64 y #s(literal 3 binary64)))
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(+ 1 (* -1 (- 1 x)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
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(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x y)))
(-.f64 (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 x y)))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))
(+.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)))) #s(literal 1 binary64))
(/ (- 1 x) y)
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(/ (- (+ 1 (/ 1 (pow y 2))) (+ x (/ x (pow y 2)))) y)
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ x (pow y 4))))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) x) (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))) y)
(/ (- (+ 1 (/ 1 (pow y 6))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- 1 x) (pow y 4))) (/ x (pow y 6)))))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) y)
(/ 1 y)
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(/ (+ 1 (/ 1 (pow y 2))) y)
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(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
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(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
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(+ 1 (* -1 (- 1 x)))
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(fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))
(fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
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(+.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
x
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(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)))
x
(- (+ x (/ 1 y)) (/ x y))
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(/ x y)
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x
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(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)))
x
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x
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(* x y)
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(- (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y))) (+ 1 (/ x y)))
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x
(- (+ x (/ 1 y)) (/ x y))
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(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
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(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
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(*.f64 (+.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(*.f64 (+.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(*.f64 (+.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)
(/ (* x (- y 1)) y)
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(*.f64 (+.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)
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(*.f64 (+.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
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(neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x #s(literal -1 binary64)))
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(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)))
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(/ (* x y) (+ 1 y))
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(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))
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(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
(*.f64 (neg.f64 x) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) x)))
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(neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) y)))
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(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
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rewrite161.0ms (2.3%)

Memory
0.0MiB live, 221.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043250
066246
1325246
23507246
08535242
Stop Event
iter limit
node limit
iter limit
Counts
20 → 509
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
(-.f64 x #s(literal 0 binary64))
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
(-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))
#s(approx (/ (- x 1) y) (/.f64 x y))
(/.f64 x y)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
#s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
(/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)
(-.f64 y #s(literal 1 binary64))
#s(approx (- 1 x) #s(literal 1 binary64))
Outputs
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eval133.0ms (1.9%)

Memory
5.1MiB live, 321.9MiB allocated
Compiler

Compiled 17 850 to 2 500 computations (86% saved)

prune47.0ms (0.7%)

Memory
1.9MiB live, 139.1MiB allocated
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New8983901
Fresh11011
Picked145
Done044
Total90021921
Accuracy
100.0%
Counts
921 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.9%
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
67.2%
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
52.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))))
52.2%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
53.7%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))
71.0%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
40.5%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
30.6%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
52.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
48.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
48.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
48.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
48.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
43.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
55.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
37.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
8.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
8.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y)))
7.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
43.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
39.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
Compiler

Compiled 481 to 319 computations (33.7% saved)

simplify116.0ms (1.6%)

Memory
-10.7MiB live, 146.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
cost-diff192
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)
cost-diff5760
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
cost-diff0
(/.f64 (-.f64 y #s(literal 1 binary64)) y)
cost-diff0
(/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)
cost-diff0
#s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
cost-diff0
#s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043318
058318
1103318
2203318
3502318
41709318
56005318
08244307
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y))
(/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)
#s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
#s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))
(/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)
(/.f64 (-.f64 y #s(literal 1 binary64)) y)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
(-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))
x
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x (/.f64 y (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(*.f64 x (/.f64 y (-.f64 y #s(literal -1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 y (-.f64 y #s(literal -1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y))
(/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)
#s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
#s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))
(/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)
(/.f64 (-.f64 y #s(literal 1 binary64)) y)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)) y) x))
(-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)) y) x)
x
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y) (-.f64 #s(literal 1 binary64) x)) y)
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)
(-.f64 x (/.f64 (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(approx (- 1 x) #s(literal 1 binary64))) y))
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 y #s(literal 1 binary64)) y)
#s(literal 1 binary64)
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))

localize113.0ms (1.6%)

Memory
-0.0MiB live, 198.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)
accuracy0.1171875
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)
accuracy32.678358313539604
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
accuracy33.273148172613574
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.1015625
(/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)
accuracy32.83912070701494
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
accuracy38.43817651838705
#s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))
accuracy0
#s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y))
accuracy7.050140342301343
(/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)
accuracy32.80126197106163
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
accuracy42.619373216531116
#s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64))
accuracy36.18458732381652
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.0078125
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy0.01171875
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
accuracy28.367485932295647
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
Samples
64.0ms209×0valid
19.0ms38×1valid
6.0ms2valid
Compiler

Compiled 389 to 61 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 21.0ms (30% of total)
ival-div: 20.0ms (28.6% of total)
ival-sub: 14.0ms (20% of total)
ival-add: 6.0ms (8.6% of total)
adjust: 5.0ms (7.1% of total)
ival-pow: 5.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
10.3MiB live, 52.1MiB allocated
Counts
20 → 396
Calls
Call 1
Inputs
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) (patch (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (patch #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) (patch (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())
Outputs
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#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ 1 (* x y)) x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* x y)) x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* x y)) x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)) (patch #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 x) (* x y))) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 x) (* x y))) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 x) (* x y))) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 x) (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 x) (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 x) (* x y))) (taylor 0 y) (#s(alt #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- y 1) y)) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (- y 1)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y 1)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y 1)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (patch #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (patch #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (patch #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) (patch (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (/ (- y 1) y) y) (/ (- y 1) y) (- 1 (pow y -1)) (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y)) (- y 1) (- 1 x) (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y))
2.0ms
x
@inf
((- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (/ (- y 1) y) y) (/ (- y 1) y) (- 1 (pow y -1)) (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y)) (- y 1) (- 1 x) (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y))
2.0ms
y
@-inf
((- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (/ (- y 1) y) y) (/ (- y 1) y) (- 1 (pow y -1)) (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y)) (- y 1) (- 1 x) (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y))
2.0ms
x
@0
((- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (/ (- y 1) y) y) (/ (- y 1) y) (- 1 (pow y -1)) (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y)) (- y 1) (- 1 x) (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y))
1.0ms
y
@0
((- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (/ y (+ y 1)) (+ y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (+ (* x (- y 1)) 1) y) (+ (* x (- y 1)) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/ (/ (- y 1) y) y) (/ (- y 1) y) (- 1 (pow y -1)) (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y)) (- y 1) (- 1 x) (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y))

simplify213.0ms (3%)

Memory
6.2MiB live, 241.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03024744
19494346
228003940
083963736
Stop Event
iter limit
node limit
Counts
396 → 369
Calls
Call 1
Inputs
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(/ (- 1 x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (+ 1 (* -1 x)) y)
(/ (+ 1 (+ (* -1 x) (* x y))) y)
(/ (+ 1 (+ (* -1 x) (* x y))) y)
(/ (+ 1 (+ (* -1 x) (* x y))) y)
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* x y)))
(+ 1 (+ (* -1 x) (* x y)))
(+ 1 (+ (* -1 x) (* x y)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* -1 (/ (- 1 x) (pow y 2)))
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 2))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2))
(/ -1 (pow y 2))
(/ (- y 1) (pow y 2))
(/ (- y 1) (pow y 2))
(/ (- y 1) (pow y 2))
(/ -1 y)
(/ (- y 1) y)
(/ (- y 1) y)
(/ (- y 1) y)
(/ -1 y)
(/ (- y 1) y)
(/ (- y 1) y)
(/ (- y 1) y)
(* -1 (/ (- 1 x) (pow y 2)))
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 2))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2))
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
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(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
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(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
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(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
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(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y)))
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(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y)))
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(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y)))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
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(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
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(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x)
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x)
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(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x)
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x)
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (/.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) x)) x x)
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(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
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(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (fma.f64 x y x))) x #s(literal 1 binary64))
(* -1 (* x (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2))))))
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(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
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(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
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(* -1 (* x (- (+ (* -1 (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))) x)) (+ (/ 1 y) (/ 1 (pow y 3)))) (+ 1 (/ 1 (pow y 2))))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y) x) x (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)))
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(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (/ (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
(fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) x) x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
(fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) x) x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 (pow y 2)) (+ (/ 1 y) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
(fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) y) x) x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))

rewrite217.0ms (3.1%)

Memory
-11.8MiB live, 184.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043280
058280
1276280
22614280
08606274
Stop Event
iter limit
node limit
iter limit
Counts
20 → 377
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y))
(/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)
#s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
#s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y))
(/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)
(/.f64 (-.f64 y #s(literal 1 binary64)) y)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
(-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))
(-.f64 y #s(literal 1 binary64))
#s(approx (- 1 x) #s(literal 1 binary64))
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)
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eval160.0ms (2.3%)

Memory
28.6MiB live, 184.7MiB allocated
Compiler

Compiled 13 428 to 2 108 computations (84.3% saved)

prune70.0ms (1%)

Memory
-3.1MiB live, 79.1MiB allocated
Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New7415746
Fresh178
Picked235
Done178
Total74522767
Accuracy
100.0%
Counts
767 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.9%
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
67.2%
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
52.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))))
52.2%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
53.7%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))
71.0%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
40.5%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
30.6%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
48.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (/.f64 (-.f64 y #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y) x))
52.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
48.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
48.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
48.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
43.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
55.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
8.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y)))
37.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
8.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
6.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y))))
15.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
43.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
39.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
Compiler

Compiled 673 to 329 computations (51.1% saved)

regimes73.0ms (1%)

Memory
0.6MiB live, 78.8MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (/.f64 (-.f64 y #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (/.f64 (-.f64 y #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y) x))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Calls

5 calls:

25.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
19.0ms
(-.f64 #s(literal 1 binary64) x)
9.0ms
x
9.0ms
y
9.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
81.9%1x
99.9%3y
99.9%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
99.9%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
81.9%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 25 to 23 computations (8% saved)

regimes80.0ms (1.1%)

Memory
-54.3MiB live, 47.2MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
Outputs
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Calls

2 calls:

67.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
11.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
99.9%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes22.0ms (0.3%)

Memory
37.0MiB live, 37.0MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) (- x 1)) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- (+ (* (- 1 (pow y -1)) (/ (- 1 x) y)) x) 1) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)) y)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))
Calls

3 calls:

7.0ms
y
7.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
6.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%3y
99.8%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
99.8%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 21 to 17 computations (19% saved)

regimes24.0ms (0.3%)

Memory
-16.9MiB live, 22.4MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
Calls

3 calls:

6.0ms
y
6.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
5.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.7%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
99.7%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
99.8%3y
Compiler

Compiled 21 to 17 computations (19% saved)

regimes7.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
99.8%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes43.0ms (0.6%)

Memory
-13.2MiB live, 26.4MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) y)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
Calls

3 calls:

33.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
5.0ms
y
5.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.4%4(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
98.4%4(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
98.9%3y
Compiler

Compiled 21 to 17 computations (19% saved)

regimes5.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
98.4%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes35.0ms (0.5%)

Memory
-19.4MiB live, 21.8MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))
Calls

3 calls:

27.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
4.0ms
y
3.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
81.6%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
81.6%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
93.4%3y
Compiler

Compiled 21 to 17 computations (19% saved)

regimes4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(approx (+ (* x (- y 1)) 1) #s(literal 1 binary64)) y)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
93.0%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory
-6.0MiB live, 31.7MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (+ (* (/ y (- -1 y)) (- 1 x)) 1) (-.f64 x #s(literal 0 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
Calls

5 calls:

5.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
2.0ms
x
2.0ms
y
2.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
2.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
79.2%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
79.2%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
60.1%5(-.f64 #s(literal 1 binary64) x)
60.7%5x
79.2%3y
Compiler

Compiled 25 to 23 computations (8% saved)

regimes7.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
1.0ms
y
1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) x)
1.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
39.1%1(-.f64 #s(literal 1 binary64) x)
39.1%1x
39.1%1y
39.1%1(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
39.1%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0056941995055488
1.0175541869025309
0.0ms
0.011276956422552348
0.9999999666330324
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0056941995055488
1.0175541869025309
0.0ms
0.011276956422552348
0.9999999666330324
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch28.0ms (0.4%)

Memory
-12.5MiB live, 63.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
272464.1568299071
29969758.67591566
14.0ms
-22022985.55525558
-28483.829203085796
Samples
13.0ms240×0valid
Compiler

Compiled 374 to 298 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (40.2% of total)
ival-div: 2.0ms (26.8% of total)
ival-mult: 2.0ms (26.8% of total)
ival-add: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch67.0ms (0.9%)

Memory
-9.2MiB live, 74.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
29969758.67591566
32782664758.804474
21.0ms
-5.050293968124909e+21
-22022985.55525558
Samples
43.0ms233×0valid
6.0ms55×1valid
Compiler

Compiled 346 to 319 computations (7.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 4.0ms (34.7% of total)
ival-div: 3.0ms (26.1% of total)
ival-mult: 2.0ms (17.4% of total)
adjust: 1.0ms (8.7% of total)
ival-add: 1.0ms (8.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Memory
7.9MiB live, 46.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
46896945212304.47
4.377612650862596e+23
1.0ms
-5.050293968124909e+21
-22022985.55525558
Samples
8.0ms72×1valid
5.0ms88×0valid
Compiler

Compiled 354 to 353 computations (0.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 2.0ms (24.8% of total)
ival-mult: 2.0ms (24.8% of total)
ival-sub: 2.0ms (24.8% of total)
adjust: 1.0ms (12.4% of total)
ival-add: 1.0ms (12.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch36.0ms (0.5%)

Memory
-17.6MiB live, 62.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.01140557661299113
272464.1568299071
16.0ms
-28483.829203085796
-0.0011821402479024272
Samples
18.0ms288×0valid
Compiler

Compiled 284 to 283 computations (0.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (34% of total)
ival-div: 2.0ms (22.6% of total)
ival-mult: 2.0ms (22.6% of total)
ival-add: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
0.01140557661299113
272464.1568299071
1.0ms
-28483.829203085796
-0.0011821402479024272
Samples
3.0ms48×0valid
Compiler

Compiled 266 to 283 computations (-6.4% saved)

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

bsearch3.0ms (0%)

Memory
7.6MiB live, 7.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
0.01140557661299113
272464.1568299071
1.0ms
-28483.829203085796
-0.0011821402479024272
Samples
1.0ms16×0valid
Compiler

Compiled 266 to 265 computations (0.4% saved)

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

bsearch2.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.01140557661299113
272464.1568299071
1.0ms
-28483.829203085796
-0.0011821402479024272
Compiler

Compiled 176 to 211 computations (-19.9% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999666330324
0.9999999999805942
0.0ms
-485097.42238998204
-3.9874132040263097
Compiler

Compiled 14 to 14 computations (0% saved)

simplify55.0ms (0.8%)

Memory
-18.6MiB live, 97.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098671
1124671
2169671
3223671
4256671
5281671
6341671
7405671
8508671
9633671
10722671
11802671
12850671
13878671
14888671
15890671
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4548635623644201/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (/.f64 (-.f64 y #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y) x)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4548635623644201/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -510000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 390000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -65000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 70000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -65000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 48000000000000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -400000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 9007199074597007/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
Outputs
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4548635623644201/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (/.f64 (-.f64 y #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y) x)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 4548635623644201/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (/.f64 (-.f64 y #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y) x)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4548635623644201/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 4548635623644201/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -510000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 390000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -510000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 390000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))))
(if (<=.f64 y #s(literal -65000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 70000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -65000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 70000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -65000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 48000000000000 binary64)) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x #s(approx (/ (- x 1) y) (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -400000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 9007199074597007/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -400000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) (if (<=.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 9007199074597007/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))

soundness1.2s (17.1%)

Memory
16.2MiB live, 1 052.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01331
16331
253331
0851730
0127823
1400799
21127684
34559669
08305648
043250
066246
1325246
23507246
08535242
043280
058280
1276280
22614280
08606274
03104374
19853778
232673532
084663404
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 687 to 322 computations (53.1% saved)

preprocess371.0ms (5.2%)

Memory
-11.0MiB live, 227.4MiB allocated
Compiler

Compiled 848 to 232 computations (72.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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