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

Time bar (total: 8.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB 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)

sample1.5s (19.1%)

Memory
-16.0MiB live, 1 134.9MiB allocated
Samples
691.0ms6 336×0valid
300.0ms1 617×1valid
50.0ms303×2valid
Precisions
Click to see histograms. Total time spent on operations: 650.0ms
ival-sub: 168.0ms (25.9% of total)
ival-add: 155.0ms (23.9% of total)
ival-mult: 148.0ms (22.8% of total)
ival-div: 97.0ms (14.9% of total)
adjust: 67.0ms (10.3% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain117.0ms (1.4%)

Memory
-5.4MiB live, 233.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
520-0-(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
340-0-(/.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))))cancellation520
/.f64(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))o/n340
(*.f64 (-.f64 #s(literal 1 binary64) x) y)overflow34
Confusion
Predicted +Predicted -
+860
-0170
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8600
-00170
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0170
186
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms408×0valid
11.0ms86×1valid
4.0ms18×2valid
Compiler

Compiled 117 to 36 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sub: 7.0ms (30.4% of total)
ival-mult: 5.0ms (21.7% of total)
ival-div: 4.0ms (17.4% of total)
ival-add: 4.0ms (17.4% of total)
adjust: 3.0ms (13% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess164.0ms (2%)

Memory
30.1MiB live, 110.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261
15857
218255
353855
4161455
5397355
6473455
7505855
8506255
9506255
10527855
11537455
12537455
13537455
0811
01311
12311
24811
311811
435611
591311
6175911
7201011
8204211
0204210
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.3%
(-.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)

simplify51.0ms (0.6%)

Memory
-10.3MiB live, 27.7MiB 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
311834
435634
591334
6175934
7201034
8204234
0204233
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 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.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))

localize47.0ms (0.6%)

Memory
-4.0MiB live, 34.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy7.947831315327919
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
accuracy12.346156821335377
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Samples
34.0ms204×0valid
5.0ms43×1valid
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 (27.1% of total)
ival-div: 2.0ms (18% of total)
ival-add: 2.0ms (18% of total)
ival-mult: 2.0ms (18% of total)
adjust: 1.0ms (9% 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
11.9MiB live, 11.9MiB 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))

simplify280.0ms (3.5%)

Memory
-15.0MiB live, 180.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127823
1400799
21138684
34614669
08194648
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) y) #s(literal -1 binary64)) (/.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 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(- 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 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 x #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))))))
(-.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y))) (-.f64 x #s(literal 1 binary64)))
(* 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)
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
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) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) 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) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) 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) y) #s(literal -1 binary64)) (/.f64 (-.f64 x #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)))
(* 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)
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.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))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (* -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)
(+ 1 (* -1 x))
(-.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 y (/.f64 x (-.f64 #s(literal -1 binary64) 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)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (* 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 y (/.f64 x (-.f64 #s(literal -1 binary64) 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)

rewrite213.0ms (2.6%)

Memory
16.2MiB live, 171.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01331
16331
253331
0852930
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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eval160.0ms (2%)

Memory
-10.3MiB live, 152.4MiB allocated
Compiler

Compiled 12 316 to 1 655 computations (86.6% saved)

prune43.0ms (0.5%)

Memory
-3.6MiB live, 41.3MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New55410564
Fresh000
Picked101
Done000
Total55510565
Accuracy
100.0%
Counts
565 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
80.8%
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
80.9%
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
45.1%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
28.2%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
54.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
53.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
46.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
49.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
44.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
Compiler

Compiled 184 to 152 computations (17.4% saved)

simplify290.0ms (3.6%)

Memory
27.6MiB live, 137.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
025157
040157
176157
2145153
3333153
4942153
52577153
64188153
74986153
85264153
95383153
105419153
115500153
125547153
135547153
145547153
155887153
166015153
176015153
06015153
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
y
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#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)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#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
Outputs
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
y
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#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)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal -1 binary64) y)
(-.f64 y #s(literal 1 binary64))
#s(literal -1 binary64)
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))) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x))
(*.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 (-.f64 y #s(literal -1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)
x

localize115.0ms (1.4%)

Memory
-3.8MiB live, 200.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.0078125
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy0.0078125
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
accuracy32.432483385499744
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
accuracy0
(+.f64 #s(literal -1 binary64) y)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
accuracy0.01171875
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
accuracy29.550212989402013
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
accuracy0
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy29.33697003749396
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy35.69845275358936
#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)
accuracy0.0234375
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
accuracy12.220710255839998
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
Samples
78.0ms204×0valid
15.0ms43×1valid
5.0ms2valid
Compiler

Compiled 247 to 44 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 44.0ms (54.2% of total)
ival-add: 16.0ms (19.7% of total)
ival-sub: 10.0ms (12.3% of total)
ival-div: 6.0ms (7.4% of total)
adjust: 3.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-18.5MiB live, 56.2MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#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))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) #<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) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt #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 (+.f64 #s(literal -1 binary64) y) (patch (+.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.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 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #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 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (- 1 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt -1 (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>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- 1 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>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) 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>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #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))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #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))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#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 (/ (* x y) (+ 1 y)) (taylor -inf x) (#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 (/ (* x y) (+ 1 y)) (taylor -inf x) (#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>) () ())) ())
Calls

6 calls:

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

simplify378.0ms (4.7%)

Memory
-103.9MiB live, 406.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02873406
19172936
228382679
085442528
Stop Event
iter limit
node limit
Counts
312 → 295
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 (- 1 x))
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))))
-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
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
(+ 1 (* y (- 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
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(* -1 (- 1 x))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
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
(- y 1)
(- y 1)
(- y 1)
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(+ 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 x) y))
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y)
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y)
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y)
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(* -1 (* y (+ 1 (/ 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))))))
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))))))
(* y (- x 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
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))))))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(* y (- 1 x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
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))))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))
(* -1 (/ (- 1 x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y))
(* -1 y)
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(* -1 (* y (+ 1 (/ 1 y))))
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x
(+ x (* -1 (/ (- x 1) y)))
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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)))
(* y (- x 1))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (- x 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)))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))
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(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x 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)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(+ 1 (* -1 (/ y (+ 1 y))))
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(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(/ -1 (+ 1 y))
(- (/ x (+ 1 y)) (/ 1 (+ 1 y)))
(- (/ x (+ 1 y)) (/ 1 (+ 1 y)))
(- (/ x (+ 1 y)) (/ 1 (+ 1 y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(- 1 (/ y (+ 1 y)))
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(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))))
(- y 1)
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(- (+ y (* -1 (* x (- y 1)))) 1)
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))
(* -1 x)
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(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
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(/ (* x y) (+ 1 y))
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(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
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(* x y)
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* 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 (- y 1))))
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* -1 (* x (- y 1)))
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(/ (* 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 (+ 1 y))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 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)))))
(/ (* 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)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -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 (- y 1))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (- y 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)))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
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 (* y (- x 1))) (* -1 (- 1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #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 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y #s(literal 1 binary64))
(* -1 (- 1 x))
(-.f64 x #s(literal 1 binary64))
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
-1
#s(literal -1 binary64)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) 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 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #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 (-.f64 #s(literal 1 binary64) y) 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 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #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 (-.f64 #s(literal 1 binary64) y) 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 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#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) y) (-.f64 y #s(literal 1 binary64)) #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 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (- 1 x))
(-.f64 x #s(literal 1 binary64))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
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) y) (-.f64 y #s(literal 1 binary64)) #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 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) y x) y)
y
(* y (+ 1 (* -1 y)))
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rewrite260.0ms (3.2%)

Memory
35.3MiB live, 305.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025139
040139
1178135
21541135
08372135
Stop Event
iter limit
node limit
iter limit
Counts
16 → 605
Calls
Call 1
Inputs
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
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#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #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)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
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(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
#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)
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Outputs
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eval127.0ms (1.6%)

Memory
-4.9MiB live, 309.7MiB allocated
Compiler

Compiled 17 730 to 2 615 computations (85.3% saved)

prune50.0ms (0.6%)

Memory
-43.2MiB live, 133.8MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New92811939
Fresh235
Picked235
Done000
Total93217949
Accuracy
100.0%
Counts
949 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
45.6%
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
45.1%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
28.2%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
54.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
80.7%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
44.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
53.4%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
46.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
26.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
49.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
12.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
44.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
13.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
38.4%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
44.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
38.6%
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Compiler

Compiled 265 to 225 computations (15.1% saved)

simplify165.0ms (2%)

Memory
21.5MiB live, 139.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 x (/.f64 x y))
cost-diff0
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
cost-diff320
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
cost-diff704
(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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032207
044207
179207
2151207
3305204
4861199
52841199
64378199
75211199
85691199
96022199
106062199
116725199
127023199
137348199
147934199
08074194
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
(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))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
x
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(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))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 y x) y) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
(/.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(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)
x
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))))
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.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))

localize93.0ms (1.2%)

Memory
8.2MiB live, 206.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.0078125
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy12.346156821335377
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
accuracy33.09414865750006
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
accuracy0
(/.f64 x y)
accuracy0.01171875
(-.f64 x (/.f64 x y))
accuracy32.432483385499744
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
accuracy34.050159204435104
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy12.346156821335377
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
accuracy33.6568553659758
#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
accuracy39.26469627579897
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
accuracy0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
accuracy0.0078125
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy0.109375
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
accuracy12.364994749381419
(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))
Samples
52.0ms204×0valid
18.0ms43×1valid
5.0ms2valid
Compiler

Compiled 277 to 44 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sub: 15.0ms (33.2% of total)
ival-div: 11.0ms (24.4% of total)
ival-mult: 10.0ms (22.2% of total)
adjust: 5.0ms (11.1% of total)
ival-add: 4.0ms (8.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-19.4MiB live, 61.2MiB allocated
Counts
16 → 336
Calls
Call 1
Inputs
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (patch #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) #<representation binary64>) () ())
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#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) #<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(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) (patch #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<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>) () ())
Outputs
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#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (patch #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (* y (- x 1))) x)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #<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 (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 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 #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((+ (* (* (- 1 (/ 1 x)) (/ y (+ y 1))) x) 1) (* (- 1 (/ 1 x)) (/ y (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ 1 x)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1))
2.0ms
x
@-inf
((+ (* (* (- 1 (/ 1 x)) (/ y (+ y 1))) x) 1) (* (- 1 (/ 1 x)) (/ y (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ 1 x)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1))
2.0ms
x
@0
((+ (* (* (- 1 (/ 1 x)) (/ y (+ y 1))) x) 1) (* (- 1 (/ 1 x)) (/ y (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ 1 x)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1))
2.0ms
x
@inf
((+ (* (* (- 1 (/ 1 x)) (/ y (+ y 1))) x) 1) (* (- 1 (/ 1 x)) (/ y (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ 1 x)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1))
1.0ms
y
@0
((+ (* (* (- 1 (/ 1 x)) (/ y (+ y 1))) x) 1) (* (- 1 (/ 1 x)) (/ y (+ y 1))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- 1 (/ 1 x)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1))

simplify181.0ms (2.3%)

Memory
-3.0MiB live, 279.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03064122
19703680
229452908
090292787
Stop Event
iter limit
node limit
Counts
336 → 321
Calls
Call 1
Inputs
1
(+ 1 (* x (* y (- 1 (/ 1 x)))))
(+ 1 (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* x (- 1 (/ 1 x))))))
(+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (- (* x (* y (- 1 (/ 1 x)))) (* x (- 1 (/ 1 x))))))))
(* y (- 1 (/ 1 x)))
(* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x)))
(* y (- (+ 1 (* y (- (+ (* y (- 1 (/ 1 x))) (/ 1 x)) 1))) (/ 1 x)))
(* y (- (+ 1 (* y (- (+ (* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) (/ 1 x)) 1))) (/ 1 x)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
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
(+ 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))
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))))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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
(* 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 (* x (- 1 (/ 1 x))))
(+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))))
(- (+ 1 (+ (* x (- 1 (/ 1 x))) (/ (* x (- 1 (/ 1 x))) (pow y 2)))) (/ (* x (- 1 (/ 1 x))) y))
(- (+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) (pow y 3))) (* x (- 1 (/ 1 x))))) (+ (* -1 (/ (* x (- 1 (/ 1 x))) (pow y 2))) (/ (* x (- 1 (/ 1 x))) y)))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (* x y))) (+ (/ 1 x) (/ 1 y)))
(- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* x (pow y 2))))))
(- (+ 1 (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))))) (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3))))))
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 (* -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)))))))
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))))))
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))))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x 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))))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(+ 1 (* x (- 1 (/ 1 x))))
(+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x)))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (* x y))) (+ (/ 1 x) (/ 1 y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- (/ 1 x) 1)) (/ 1 (* x y))) (/ 1 y)) y))) (/ 1 x))
(- (+ 1 (* -1 (/ (+ (* -1 (- (/ 1 x) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 x) 1)) (/ 1 (* x y))) (/ 1 y)) y))) y))) (/ 1 x))
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 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) 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)
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)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x 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)
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(+ 1 (* -1 (/ y (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(* -1 (/ y (* x (+ 1 y))))
(/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x)
(/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x)
(/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x)
(- 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)))
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
(+ 1 (* -1 (/ y (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 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)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(- 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)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x 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)))
(/ (* x y) (+ 1 y))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(/ y (+ 1 y))
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))
(/ (* 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
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(/ (* x y) (+ 1 y))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(/ (* 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)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ (* 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))))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* 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)))))
(/ (* 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)))))
(/ y (+ 1 y))
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))
(+ (* -1 (/ y (* x (+ 1 y)))) (/ 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 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 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 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)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 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)))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(/ 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 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)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (* y (- 1 (/ 1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* x (- 1 (/ 1 x))))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))
(+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (- (* x (* y (- 1 (/ 1 x)))) (* x (- 1 (/ 1 x))))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))
(* y (- 1 (/ 1 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) y y)
(* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y)
(* y (- (+ 1 (* y (- (+ (* y (- 1 (/ 1 x))) (/ 1 x)) 1))) (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y (/.f64 #s(literal -1 binary64) x)) y y)
(* y (- (+ 1 (* y (- (+ (* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) (/ 1 x)) 1))) (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y (/.f64 #s(literal -1 binary64) x)) y y)
1
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(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))
(/ (* 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)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x y) (+ 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 (neg.f64 x) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))))

rewrite190.0ms (2.4%)

Memory
31.2MiB live, 253.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032186
044186
1210186
21843186
08740183
Stop Event
iter limit
node limit
iter limit
Counts
16 → 358
Calls
Call 1
Inputs
(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))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
(/.f64 x y)
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
Outputs
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eval129.0ms (1.6%)

Memory
-10.2MiB live, 185.4MiB allocated
Compiler

Compiled 12 262 to 1 936 computations (84.2% saved)

prune68.0ms (0.8%)

Memory
18.9MiB live, 111.1MiB allocated
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New7423745
Fresh189
Picked235
Done033
Total74517762
Accuracy
100.0%
Counts
762 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
45.6%
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
45.1%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
3.1%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
54.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
45.4%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 (/ 1 x)) (/ y (+ y 1))) (/.f64 (neg.f64 y) (fma.f64 y x x))) x #s(literal 1 binary64)))
44.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
46.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
26.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
49.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
12.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
44.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
13.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
38.4%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
12.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
44.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
38.6%
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Compiler

Compiled 238 to 205 computations (13.9% saved)

simplify168.0ms (2.1%)

Memory
-18.6MiB live, 298.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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
(-.f64 x (*.f64 y x))
cost-diff0
(*.f64 (-.f64 x (*.f64 y x)) y)
cost-diff0
#s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #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
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
cost-diff0
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038234
056234
1104234
2231234
3611234
42277234
56024234
08345226
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
(*.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) (pow.f64 y #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 y #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(-.f64 x (*.f64 y x))
x
(*.f64 y x)
y
#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
Outputs
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.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)
#s(literal 1 binary64)
x
y
(-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 y #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 y x)))
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
#s(approx (+ (* (- x 1) y) 1) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))
#s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
x
(*.f64 y x)
y
#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

localize108.0ms (1.3%)

Memory
12.7MiB live, 201.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.0078125
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
accuracy0.0078125
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
accuracy33.95327301823384
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
accuracy0.00390625
(-.f64 x (*.f64 y x))
accuracy0.0703125
(*.f64 (-.f64 x (*.f64 y x)) y)
accuracy29.692631623666443
#s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))
accuracy32.432483385499744
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
accuracy0
(*.f64 x y)
accuracy29.33697003749396
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
accuracy39.46973278847993
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy22.603423809482198
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
accuracy29.33697003749396
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
accuracy0
(-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy13.697478007815157
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
accuracy19.609563040448847
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
Samples
50.0ms204×0valid
29.0ms43×1valid
6.0ms2valid
Compiler

Compiled 323 to 60 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-sub: 16.0ms (27.7% of total)
ival-mult: 15.0ms (25.9% of total)
ival-div: 10.0ms (17.3% of total)
ival-add: 6.0ms (10.4% of total)
ival-pow: 5.0ms (8.6% of total)
adjust: 4.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory
1.2MiB live, 84.3MiB allocated
Counts
19 → 408
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 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 #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.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 (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<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 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (patch (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #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 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* (pow y 3) (- x 1))) (* -1 (- 1 x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (* (pow y 3) (+ (* -1 (* (pow y 3) (- 1 x))) (* -1 (- x 1)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (* (pow y 3) (+ (* -1 (- x 1)) (* (pow y 3) (+ (* -1 (* (pow y 3) (- x 1))) (* -1 (- 1 x)))))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 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 #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#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 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.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 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())) ())
#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 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x 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))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) 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))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
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#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) (taylor -inf x) (#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 (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) (taylor -inf x) (#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 (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) (taylor -inf x) (#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 (/ x y) (taylor -inf x) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* 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 (* -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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
((+ (* (/ (* (- 1 x) y) (- -1 (pow y 3))) (+ (* (- y 1) y) 1)) 1) (/ (* (- 1 x) y) (- -1 (pow y 3))) (* (- 1 x) y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- -1 (pow y 3)))
4.0ms
x
@-inf
((+ (* (/ (* (- 1 x) y) (- -1 (pow y 3))) (+ (* (- y 1) y) 1)) 1) (/ (* (- 1 x) y) (- -1 (pow y 3))) (* (- 1 x) y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- -1 (pow y 3)))
4.0ms
x
@inf
((+ (* (/ (* (- 1 x) y) (- -1 (pow y 3))) (+ (* (- y 1) y) 1)) 1) (/ (* (- 1 x) y) (- -1 (pow y 3))) (* (- 1 x) y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- -1 (pow y 3)))
3.0ms
x
@0
((+ (* (/ (* (- 1 x) y) (- -1 (pow y 3))) (+ (* (- y 1) y) 1)) 1) (/ (* (- 1 x) y) (- -1 (pow y 3))) (* (- 1 x) y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- -1 (pow y 3)))
2.0ms
y
@inf
((+ (* (/ (* (- 1 x) y) (- -1 (pow y 3))) (+ (* (- y 1) y) 1)) 1) (/ (* (- 1 x) y) (- -1 (pow y 3))) (* (- 1 x) y) (- 1 x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (* (- x (* y x)) y) (- x (* y x)) (- 1 (/ (* (- 1 x) y) (+ y 1))) (- x (/ (- x 1) y)) (/ (- x 1) y) (- x 1) (- -1 (pow y 3)))

simplify198.0ms (2.5%)

Memory
-13.3MiB live, 301.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02964146
19483764
231253325
087043150
Stop Event
iter limit
node limit
Counts
408 → 392
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))))
(* -1 (* y (- 1 x)))
(* y (+ (* -1 (* (pow y 3) (- x 1))) (* -1 (- 1 x))))
(* y (+ (* -1 (- 1 x)) (* (pow y 3) (+ (* -1 (* (pow y 3) (- 1 x))) (* -1 (- x 1))))))
(* y (+ (* -1 (- 1 x)) (* (pow y 3) (+ (* -1 (- x 1)) (* (pow y 3) (+ (* -1 (* (pow y 3) (- x 1))) (* -1 (- 1 x))))))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
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 1)))
(+ 1 (* y (- x 1)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
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(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (* x y) (+ 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)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) 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 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)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y)))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y)))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x (-.f64 x (/.f64 x y)))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 x y))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 x y))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 x y))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite156.0ms (1.9%)

Memory
24.8MiB live, 253.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038205
056205
1246205
22135205
08880201
Stop Event
iter limit
node limit
iter limit
Counts
19 → 298
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
(*.f64 x y)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(-.f64 x (*.f64 y x))
#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))
(-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))
Outputs
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eval128.0ms (1.6%)

Memory
3.4MiB live, 223.6MiB allocated
Compiler

Compiled 11 458 to 1 420 computations (87.6% saved)

prune33.0ms (0.4%)

Memory
-0.9MiB live, 78.4MiB allocated
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New6846690
Fresh156
Picked325
Done066
Total68819707
Accuracy
100.0%
Counts
707 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
45.6%
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
45.1%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
3.1%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
54.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
45.4%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 (/ 1 x)) (/ y (+ y 1))) (/.f64 (neg.f64 y) (fma.f64 y x x))) x #s(literal 1 binary64)))
44.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
47.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y)))
26.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
49.3%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
34.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y)))
11.4%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
44.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
13.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
3.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
38.4%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
12.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
44.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
38.6%
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Compiler

Compiled 436 to 246 computations (43.6% saved)

regimes53.0ms (0.7%)

Memory
-21.6MiB live, 101.7MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
#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 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(-.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))) (*.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 y (-.f64 #s(literal 1 binary64) x)) y)))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 (/ 1 x)) (/ y (+ y 1))) (/.f64 (neg.f64 y) (fma.f64 y x x))) x #s(literal 1 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 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) 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)))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #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

5 calls:

11.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
11.0ms
(-.f64 #s(literal 1 binary64) x)
11.0ms
x
9.0ms
y
9.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
80.9%1x
100.0%3y
100.0%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
100.0%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
80.9%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 25 to 23 computations (8% saved)

regimes10.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
#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 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(-.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))) (*.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 y (-.f64 #s(literal 1 binary64) x)) y)))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 (/ 1 x)) (/ y (+ y 1))) (/.f64 (neg.f64 y) (fma.f64 y x x))) x #s(literal 1 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 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #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)))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #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:

9.0ms
y
Results
AccuracySegmentsBranch
100.0%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory
-19.0MiB live, 20.0MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
#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 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(-.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))) (*.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 y (-.f64 #s(literal 1 binary64) x)) y)))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 (/ 1 x)) (/ y (+ y 1))) (/.f64 (neg.f64 y) (fma.f64 y x x))) x #s(literal 1 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 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #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:

9.0ms
y
Results
AccuracySegmentsBranch
100.0%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
#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 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(-.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))) (*.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 y (-.f64 #s(literal 1 binary64) x)) y)))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 (/ 1 x)) (/ y (+ y 1))) (/.f64 (neg.f64 y) (fma.f64 y x x))) x #s(literal 1 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 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (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)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #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:

8.0ms
y
Results
AccuracySegmentsBranch
100.0%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes45.0ms (0.6%)

Memory
2.1MiB live, 40.6MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
#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 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(-.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))) (*.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 y (-.f64 #s(literal 1 binary64) x)) y)))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
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 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) 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:

31.0ms
y
6.0ms
(/.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
99.8%4(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
99.8%4(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
99.0%3y
Compiler

Compiled 21 to 17 computations (19% saved)

regimes8.0ms (0.1%)

Memory
-26.2MiB live, 13.1MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #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 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
98.6%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) 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)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) 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:

5.0ms
y
Results
AccuracySegmentsBranch
98.3%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes48.0ms (0.6%)

Memory
-18.1MiB live, 25.0MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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

3 calls:

37.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
5.0ms
y
5.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
89.3%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
89.3%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
98.2%3y
Compiler

Compiled 21 to 17 computations (19% saved)

regimes6.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
89.5%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) 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))) #s(approx (- x (/ (- x 1) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x))
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 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 (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
89.3%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes46.0ms (0.6%)

Memory
-11.7MiB live, 27.7MiB allocated
Counts
8 → 4
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.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 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Calls

5 calls:

33.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
3.0ms
y
3.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) x)
3.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
59.4%3(-.f64 #s(literal 1 binary64) x)
59.4%3x
79.6%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
79.6%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
81.4%4y
Compiler

Compiled 25 to 23 computations (8% saved)

regimes4.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
81.3%4y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Calls

3 calls:

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) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
79.5%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
79.5%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
79.5%3y
Compiler

Compiled 21 to 17 computations (19% saved)

regimes24.0ms (0.3%)

Memory
-30.1MiB live, 9.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Calls

3 calls:

20.0ms
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) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
79.1%3y
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)))
Compiler

Compiled 21 to 17 computations (19% saved)

regimes7.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
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
(-.f64 #s(literal 1 binary64) x)
1.0ms
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
38.6%1x
38.6%1(-.f64 #s(literal 1 binary64) x)
38.6%1y
38.6%1(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
38.6%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch46.0ms (0.6%)

Memory
7.7MiB live, 46.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
16617383.723829836
652063483385836700.0
13.0ms
-105441778895661360.0
-3307198718292361.5
Samples
24.0ms128×1valid
8.0ms144×0valid
Compiler

Compiled 473 to 387 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 13.0ms (53.2% of total)
ival-sub: 4.0ms (16.4% of total)
adjust: 3.0ms (12.3% of total)
ival-mult: 3.0ms (12.3% of total)
ival-add: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
16617383.723829836
652063483385836700.0
1.0ms
-105441778895661360.0
-3307198718292361.5
Compiler

Compiled 456 to 387 computations (15.1% saved)

bsearch35.0ms (0.4%)

Memory
-13.1MiB live, 31.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
16617383.723829836
652063483385836700.0
31.0ms
-3307198718292361.5
-313997613259.5325
Samples
23.0ms73×1valid
3.0ms55×0valid
Compiler

Compiled 526 to 409 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 16.0ms (72.1% of total)
ival-div: 2.0ms (9% of total)
ival-sub: 2.0ms (9% of total)
adjust: 1.0ms (4.5% of total)
ival-add: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.6%)

Memory
2.4MiB live, 39.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
16617383.723829836
652063483385836700.0
38.0ms
-313997613259.5325
-6.568601288683855e-5
Samples
10.0ms174×0valid
2.0ms18×1valid
Compiler

Compiled 364 to 353 computations (3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (28.6% of total)
ival-sub: 2.0ms (28.6% of total)
ival-mult: 2.0ms (28.6% of total)
ival-add: 1.0ms (14.3% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch57.0ms (0.7%)

Memory
-1.6MiB live, 37.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
0.12114602702106912
23.108479388539646
13.0ms
-313997613259.5325
-6.568601288683855e-5
Samples
43.0ms256×0valid
Compiler

Compiled 337 to 319 computations (5.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 32.0ms (84.4% of total)
ival-sub: 3.0ms (7.9% of total)
ival-div: 2.0ms (5.3% of total)
ival-add: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.12114602702106912
23.108479388539646
1.0ms
-313997613259.5325
-6.568601288683855e-5
Compiler

Compiled 320 to 302 computations (5.6% saved)

bsearch8.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
0.12114602702106912
23.108479388539646
1.0ms
-313997613259.5325
-6.568601288683855e-5
Samples
3.0ms64×0valid
Compiler

Compiled 303 to 302 computations (0.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (54.1% of total)
ival-div: 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
3.3MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.12114602702106912
23.108479388539646
1.0ms
-313997613259.5325
-6.568601288683855e-5
Compiler

Compiled 252 to 268 computations (-6.3% saved)

bsearch4.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
0.12114602702106912
23.108479388539646
1.0ms
-313997613259.5325
-6.568601288683855e-5
Samples
1.0ms16×0valid
Compiler

Compiled 252 to 251 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
3.2MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.12114602702106912
23.108479388539646
1.0ms
-313997613259.5325
-6.568601288683855e-5
Compiler

Compiled 167 to 200 computations (-19.8% saved)

bsearch37.0ms (0.5%)

Memory
-9.8MiB live, 29.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.12114602702106912
23.108479388539646
13.0ms
9.443285304251665e-84
2.0168635985221943e-76
22.0ms
-313997613259.5325
-6.568601288683855e-5
Samples
8.0ms144×0valid
Compiler

Compiled 280 to 329 computations (-17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (44.3% of total)
ival-div: 1.0ms (22.2% of total)
ival-add: 1.0ms (22.2% of total)
ival-mult: 1.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.12114602702106912
23.108479388539646
1.0ms
9.443285304251665e-84
2.0168635985221943e-76
1.0ms
-313997613259.5325
-6.568601288683855e-5
Compiler

Compiled 223 to 310 computations (-39% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.10805552898667364
0.9585208181783806
0.0ms
-900074534060.6182
-6.569032782255844e-5
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9585208181783806
0.999999999994245
0.0ms
-900074534060.6182
-6.569032782255844e-5
Compiler

Compiled 14 to 14 computations (0% saved)

simplify101.0ms (1.3%)

Memory
-11.2MiB live, 70.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0130826
1210826
2311826
3498825
41006825
52592825
64978825
76742825
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -3350000000000000 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 180000000000 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #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 -3350000000000000 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 180000000000 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #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 -320000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 180000000000 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #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 -150000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 160000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #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 (/.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 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) 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 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) 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 3602879701896397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) 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 (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 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))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 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 (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 6029626489950079/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 6029626489950079/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -500000000000 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -500000000000 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Outputs
(if (<=.f64 y #s(literal -3350000000000000 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 180000000000 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #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 (or (<=.f64 y #s(literal -3350000000000000 binary64)) (not (<=.f64 y #s(literal 180000000000 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -3350000000000000 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 180000000000 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #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 (or (<=.f64 y #s(literal -3350000000000000 binary64)) (not (<=.f64 y #s(literal 180000000000 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -320000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 180000000000 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #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 -150000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 160000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #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 -150000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 160000000000 binary64)) (fma.f64 y (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #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 (/.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 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #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 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))))
(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 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #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 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64))))
(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 3602879701896397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) 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 (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)))) #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 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64))))
(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 3602879701896397/4503599627370496 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 (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)))) #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))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.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))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 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 (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))
(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)))
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#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x)

soundness1.7s (21.2%)

Memory
8.7MiB live, 1 247.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038205
056205
1246205
22135205
08880201
0127823
1400799
21138684
34614669
08194648
02873406
19172936
228382679
085442528
02964146
19483764
231253325
087043150
025139
040139
1178135
21541135
08372135
0831
01331
16331
253331
0852930
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 835 to 436 computations (47.8% saved)

preprocess130.0ms (1.6%)

Memory
-5.4MiB live, 264.1MiB allocated
Compiler

Compiled 922 to 272 computations (70.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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