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

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB 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 9 to 8 computations (11.1% saved)

sample1.3s (21.3%)

Memory
-41.3MiB live, 859.5MiB allocated
Samples
937.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 452.0ms
ival-sub: 310.0ms (68.6% of total)
ival-div: 127.0ms (28.1% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain82.0ms (1.4%)

Memory
21.1MiB live, 100.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-y
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-#s(literal 1 binary64)
00-0-(-.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
39.0ms512×0valid
Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 5.0ms (52% of total)
ival-div: 3.0ms (31.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess107.0ms (1.8%)

Memory
-12.7MiB live, 69.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15138
212536
335635
480035
5126535
6147735
7155535
8161335
9162635
067
097
1177
2247
3397
4727
51397
63187
75447
86977
97137
107147
07147
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify45.0ms (0.8%)

Memory
-8.4MiB live, 31.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11716
22416
33916
47216
513916
631816
754416
869716
971316
1071416
071416
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize50.0ms (0.8%)

Memory
5.7MiB live, 45.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.015625
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
41.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 5.0ms (58.6% of total)
ival-div: 3.0ms (35.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x 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 inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify223.0ms (3.7%)

Memory
-17.5MiB live, 260.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096384
1281358
2787338
32726311
47421311
08109302
Stop Event
iter limit
node limit
Counts
60 → 56
Calls
Call 1
Inputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 1) y)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (/ y (- 1 y)))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)

rewrite155.0ms (2.6%)

Memory
-6.2MiB live, 273.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14713
235613
3496713
0935613
Stop Event
iter limit
node limit
iter limit
Counts
3 → 493
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
(-.f64 #s(literal 1 binary64) y)
Outputs
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eval66.0ms (1.1%)

Memory
25.0MiB live, 181.8MiB allocated
Compiler

Compiled 10 822 to 1 323 computations (87.8% saved)

prune13.0ms (0.2%)

Memory
12.2MiB live, 50.7MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5427549
Fresh000
Picked101
Done000
Total5437550
Accuracy
100.0%
Counts
550 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.3%
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
54.3%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
54.2%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
46.3%
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
55.6%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
47.1%
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
35.2%
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Compiler

Compiled 92 to 86 computations (6.5% saved)

simplify252.0ms (4.2%)

Memory
-21.1MiB live, 138.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
019119
030119
153119
293119
3240119
4497119
51219119
63156119
74412119
84770119
94911119
105004119
115040119
125040119
135040119
145040119
155182119
165215119
05215119
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
y
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 y y y)
y
Outputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
y
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 y y y)
y

localize68.0ms (1.1%)

Memory
-10.6MiB live, 153.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y y y)
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.0078125
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
accuracy29.260933597372834
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.00390625
(/.f64 y (-.f64 y #s(literal 1 binary64)))
accuracy34.35967865436531
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
accuracy29.327551558296353
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
accuracy41.484118375805984
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01953125
(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy28.381651941346377
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Samples
32.0ms256×0valid
Compiler

Compiled 94 to 18 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sub: 5.0ms (27.5% of total)
ival-div: 5.0ms (27.5% of total)
ival-mult: 5.0ms (27.5% of total)
ival-add: 3.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
5.2MiB live, 44.2MiB allocated
Counts
13 → 252
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.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>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 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 (* -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 x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<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 (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ x (* y (- x 1))) 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ x (* y (- x 1))) 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* -1 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (/ x y)) 1)) (taylor inf y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (/ x y)) 1)) (taylor inf y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (/ x y)) 1)) (taylor inf y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))
2.0ms
y
@inf
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))
1.0ms
x
@inf
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))
1.0ms
y
@-inf
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))
1.0ms
x
@0
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))

simplify174.0ms (2.9%)

Memory
9.2MiB live, 287.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02002382
16012173
217472052
367002016
081511915
Stop Event
iter limit
node limit
Counts
252 → 239
Calls
Call 1
Inputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
-1
(- y 1)
(- y 1)
(- y 1)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* y (- x 1)))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* y (- x 1))
(* y (- (+ x (/ x y)) 1))
(* y (- (+ x (/ x y)) 1))
(* y (- (+ x (/ x y)) 1))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* -1 (/ x y))
(* -1 (/ (+ x (/ x y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* y (- x 1))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 y)
(+ (* -1 y) (* x (+ 1 y)))
(+ (* -1 y) (* x (+ 1 y)))
(+ (* -1 y) (* x (+ 1 y)))
-1
(- x 1)
(- x 1)
(- x 1)
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (+ y (pow y 2)))
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ 1 y))
(* x (+ 1 (+ y (* -1 (/ y x)))))
(* x (+ 1 (+ y (* -1 (/ y x)))))
(* x (+ 1 (+ y (* -1 (/ y x)))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
Outputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (- (* x y) (* -1 x))))
(fma.f64 (fma.f64 y y y) x x)
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(fma.f64 (fma.f64 (fma.f64 y y y) x x) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* y (- (* -1 y) 1)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y)
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
y
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y)) #s(literal 1 binary64))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)
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(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
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))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(fma.f64 (fma.f64 y y y) x x)
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x)
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x)
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x)

rewrite197.0ms (3.3%)

Memory
-6.6MiB live, 317.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019104
030104
1140104
21139104
08782104
Stop Event
iter limit
node limit
iter limit
Counts
13 → 488
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
(fma.f64 y y y)
Outputs
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eval94.0ms (1.6%)

Memory
29.3MiB live, 262.2MiB allocated
Compiler

Compiled 14 303 to 1 999 computations (86% saved)

prune24.0ms (0.4%)

Memory
2.4MiB live, 82.3MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New7717778
Fresh022
Picked235
Done000
Total77312785
Accuracy
100.0%
Counts
785 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.3%
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
53.9%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
54.4%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
46.3%
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
55.6%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
15.3%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
47.1%
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
13.3%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
13.7%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
43.2%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
42.9%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
35.2%
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Compiler

Compiled 138 to 128 computations (7.2% saved)

simplify72.0ms (1.2%)

Memory
-6.6MiB live, 71.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026164
037164
166164
2101164
3168164
4287164
5460164
6817164
71489164
82019164
92708164
102730164
112733164
122733164
02733164
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
y
x
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ y (- y 1)) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 y y y)
y
x
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(-.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
Outputs
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
y
x
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ y (- y 1)) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (fma.f64 y y y) #s(approx (- x 1) #s(literal -1 binary64)) x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)
(fma.f64 (fma.f64 y y y) #s(approx (- x 1) #s(literal -1 binary64)) x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 y y y)
y
x
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(-.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)

localize63.0ms (1.1%)

Memory
-28.0MiB live, 130.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.015625
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy33.59079115366735
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(fma.f64 y y y)
accuracy0.0078125
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)
accuracy29.260933597372834
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
accuracy31.568263012334988
#s(approx (- x 1) #s(literal -1 binary64))
accuracy0
(-.f64 #s(literal -1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
accuracy29.553864811447433
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
accuracy34.35967865436531
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
accuracy0
(neg.f64 y)
accuracy29.18160717098582
#s(approx (/ y (- y 1)) (neg.f64 y))
accuracy34.35967865436531
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
accuracy0.00390625
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
accuracy29.327551558296353
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
accuracy31.568263012334988
#s(approx (- x 1) #s(literal -1 binary64))
Samples
42.0ms256×0valid
Compiler

Compiled 105 to 21 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sub: 9.0ms (30.9% of total)
ival-div: 6.0ms (20.6% of total)
ival-add: 6.0ms (20.6% of total)
ival-mult: 6.0ms (20.6% of total)
ival-neg: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
35.3MiB live, 35.3MiB allocated
Counts
16 → 288
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())
#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) 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 x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ x (* y (- x 1))) 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ x (* y (- x 1))) 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 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 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify198.0ms (3.3%)

Memory
-16.7MiB live, 346.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812434
15402271
215882097
363812054
084121952
Stop Event
iter limit
node limit
Counts
288 → 275
Calls
Call 1
Inputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
-1
(- (* -1 y) 1)
(- (* -1 y) 1)
(- (* -1 y) 1)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* y (- x 1)))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* y (- x 1))
(* y (- (+ x (/ x y)) 1))
(* y (- (+ x (/ x y)) 1))
(* y (- (+ x (/ x y)) 1))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
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(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* y (- x 1))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
1
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(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
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1
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(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
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(* -1 y)
(* -1 y)
(* -1 y)
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1
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(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
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(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
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(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
1
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(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
1
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(+ (* -1 y) (* x (+ 1 y)))
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(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
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(* -1 y)
(- x y)
(- x y)
(- x y)
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(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
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(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
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(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
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(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
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(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
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(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
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(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
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(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
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(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
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(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
(* -1 y)
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(* y (- (* y (- (* -1 y) 1)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y)
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(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y)
(* -1 y)
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(* -1 y)
(neg.f64 y)
(* -1 y)
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(* -1 y)
(neg.f64 y)
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(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
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(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
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(* -1 y)
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-1
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(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
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(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
y
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
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(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
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(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) (*.f64 y y)))))
(* y (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (- (+ x (/ x y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(* y (- (+ x (/ x y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(* y (- (+ x (/ x y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) (*.f64 y y)))))
(* (pow y 2) (- x 1))
(*.f64 (*.f64 y y) (-.f64 x #s(literal 1 binary64)))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
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(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) (*.f64 y y)))))
(* -1 y)
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(-.f64 x y)
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(-.f64 x y)
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(-.f64 x y)
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rewrite148.0ms (2.5%)

Memory
-7.7MiB live, 263.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026146
037146
1163146
21239146
08698146
Stop Event
iter limit
node limit
iter limit
Counts
16 → 428
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ y (- y 1)) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(-.f64 #s(literal -1 binary64) y)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)
(fma.f64 y y y)
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(-.f64 x y)
#s(approx (- 1 y) (neg.f64 y))
Outputs
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eval129.0ms (2.1%)

Memory
3.3MiB live, 246.3MiB allocated
Compiler

Compiled 11 717 to 1 683 computations (85.6% saved)

prune22.0ms (0.4%)

Memory
-9.0MiB live, 69.3MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New7422744
Fresh044
Picked145
Done033
Total74313756
Accuracy
100.0%
Counts
756 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.3%
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
54.4%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
46.3%
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
55.6%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
15.3%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
47.1%
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
13.3%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
13.3%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
2.6%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
13.7%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
43.2%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
42.9%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
35.2%
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify80.0ms (1.3%)

Memory
30.0MiB live, 74.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
030209
043209
176206
2127206
3247206
4414206
5821206
61546206
71936206
82297206
92376206
102385206
112386206
02386206
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))
(*.f64 #s(approx (- -1 y) (neg.f64 y)) y)
#s(approx (- -1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))
(fma.f64 (neg.f64 y) y (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y y y)
y
x
Outputs
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))
(*.f64 #s(approx (- -1 y) (neg.f64 y)) y)
#s(approx (- -1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
(fma.f64 (neg.f64 y) y (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(neg.f64 y)
y
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y y y)
y
x

localize68.0ms (1.1%)

Memory
-23.3MiB live, 134.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y y y)
accuracy2.8334934838157615
(fma.f64 (fma.f64 y y y) x x)
accuracy28.381651941346377
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
accuracy28.98908256572818
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))
accuracy0
(fma.f64 (neg.f64 y) y (neg.f64 y))
accuracy0
(neg.f64 y)
accuracy29.553864811447433
#s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))
accuracy34.35967865436531
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
accuracy0.01171875
(*.f64 #s(approx (- -1 y) (neg.f64 y)) y)
accuracy29.553864811447433
#s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))
accuracy33.56635412035067
#s(approx (- -1 y) (neg.f64 y))
accuracy34.35967865436531
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
accuracy0
(fma.f64 y x x)
accuracy28.381651941346377
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
accuracy29.28005115995466
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
accuracy0
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.01171875
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy33.885174676556524
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
Samples
44.0ms256×0valid
Compiler

Compiled 120 to 26 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 8.0ms (28.3% of total)
ival-div: 7.0ms (24.7% of total)
ival-sub: 7.0ms (24.7% of total)
ival-add: 4.0ms (14.1% of total)
ival-neg: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
6.5MiB live, 45.4MiB allocated
Counts
19 → 360
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) 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 #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (*.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ())
#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) y (neg.f64 y)) (patch (fma.f64 (neg.f64 y) y (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))) (patch #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())
Outputs
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#s(alt x (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify179.0ms (3%)

Memory
24.3MiB live, 218.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01802850
15712682
215432518
359152518
082712411
Stop Event
iter limit
node limit
Counts
360 → 350
Calls
Call 1
Inputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(/ (- 1 x) y)
(/ (- (+ 1 y) x) y)
(/ (- (+ 1 y) x) y)
(/ (- (+ 1 y) x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
-1
(- (* -1 y) 1)
(- (* -1 y) 1)
(- (* -1 y) 1)
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
x
(+ x (* x y))
(+ x (* y (+ x (* x y))))
(+ x (* y (+ x (* x y))))
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (/ 1 y)) (/ x y))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2)))))
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (/ 1 y)) (/ x y))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* -1 (/ x y))
(* -1 (/ (+ x (/ x y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* -1 (/ x y))
(* -1 (/ (+ x (/ x y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ 1 (/ 1 y))
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (pow y 2))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* -1 (/ x y))
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (pow y 2))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
Outputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- (+ 1 y) x) y)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(/ (- (+ 1 y) x) y)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(/ (- (+ 1 y) x) y)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (- (* x y) (* -1 x))))
(fma.f64 (fma.f64 y x x) y x)
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* y (- (* -1 y) 1)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y)
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
-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 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* y (- (* -1 y) 1)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y)
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (- (* x y) (* -1 x))))
(fma.f64 (fma.f64 y x x) y x)
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* x y))))
(fma.f64 (fma.f64 y x x) y x)
(+ x (* y (+ x (* x y))))
(fma.f64 (fma.f64 y x x) y x)
y
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ 1 y)) (/ x y))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(- (+ 1 (/ 1 y)) (/ x y))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(- (+ 1 (/ 1 y)) (/ x y))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y))
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) x) y)
(* x y)
(*.f64 y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(/.f64 (-.f64 y #s(literal -1 binary64)) y)
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (-.f64 #s(literal -1 binary64) y) y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(/.f64 (-.f64 y #s(literal -1 binary64)) y)
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (-.f64 #s(literal -1 binary64) y) y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (-.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y))
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) x) y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x y)))
(*.f64 (fma.f64 y y y) x)
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2)))))
(fma.f64 (fma.f64 y x x) y x)
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2)))))
(fma.f64 (fma.f64 y x x) y x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
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(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(fma.f64 (fma.f64 y x x) y x)
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(fma.f64 (fma.f64 y x x) y x)
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(fma.f64 (fma.f64 y x x) y x)
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(fma.f64 (fma.f64 y x x) y x)

rewrite151.0ms (2.5%)

Memory
7.1MiB live, 200.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030197
043199
1198195
21563191
08833191
Stop Event
iter limit
node limit
iter limit
Counts
19 → 560
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
(fma.f64 y x x)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))
(*.f64 #s(approx (- -1 y) (neg.f64 y)) y)
#s(approx (- -1 y) (neg.f64 y))
(fma.f64 (neg.f64 y) y (neg.f64 y))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))
(neg.f64 y)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y y y)
Outputs
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eval212.0ms (3.5%)

Memory
-11.3MiB live, 268.9MiB allocated
Compiler

Compiled 14 128 to 2 402 computations (83% saved)

prune83.0ms (1.4%)

Memory
-19.0MiB live, 155.3MiB allocated
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New9615966
Fresh011
Picked235
Done257
Total96514979
Accuracy
100.0%
Counts
979 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
46.3%
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
55.6%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
15.3%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
47.3%
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
3.4%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
2.6%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
13.3%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
13.7%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
43.2%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
42.9%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
43.4%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
3.1%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
35.2%
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Compiler

Compiled 235 to 152 computations (35.3% saved)

regimes41.0ms (0.7%)

Memory
-0.2MiB live, 38.8MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Calls

3 calls:

26.0ms
y
7.0ms
x
7.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes29.0ms (0.5%)

Memory
-4.7MiB live, 39.4MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
Outputs
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
Calls

3 calls:

15.0ms
x
6.0ms
y
6.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
74.7%3x
99.1%3y
99.0%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Outputs
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
99.0%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory
-9.8MiB live, 27.7MiB allocated
Counts
18 → 4
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
Outputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Calls

2 calls:

8.0ms
y
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.0%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
87.2%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
17 → 4
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
Outputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Calls

1 calls:

5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.0%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory
-23.8MiB live, 14.0MiB allocated
Counts
16 → 4
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Outputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Calls

1 calls:

7.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
98.6%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.2%)

Memory
27.4MiB live, 27.4MiB allocated
Counts
15 → 4
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
y
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
88.2%4y
88.2%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes13.0ms (0.2%)

Memory
-7.7MiB live, 29.2MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Calls

2 calls:

7.0ms
y
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
86.4%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
86.5%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-27.9MiB live, 18.9MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
Outputs
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
Calls

2 calls:

5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
4.0ms
y
Results
AccuracySegmentsBranch
86.3%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
86.2%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Calls

2 calls:

3.0ms
y
3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
86.2%3y
86.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y)))
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Calls

2 calls:

2.0ms
y
2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
74.5%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
75.1%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory
-22.8MiB live, 16.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
46.1%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
38.7%3x
45.7%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
35.2%1x
35.2%1y
35.2%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch28.0ms (0.5%)

Memory
-7.0MiB live, 69.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.347055429931675
256644806573.28995
12.0ms
-583.8122998363098
-1.8579384654163684e-5
Samples
12.0ms304×0valid
Compiler

Compiled 352 to 334 computations (5.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (54.4% of total)
ival-div: 2.0ms (36.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Memory
24.9MiB live, 24.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.347055429931675
256644806573.28995
7.0ms
-583.8122998363098
-1.8579384654163684e-5
Samples
4.0ms96×0valid
Compiler

Compiled 352 to 334 computations (5.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (58.6% of total)
ival-div: 1.0ms (58.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000001650025079
3.3880211745390874
0.0ms
0.0002000325978448088
0.9982900496445101
0.0ms
-655.9431947371444
-3.1264188955743264e-10
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000001650025079
3.3880211745390874
0.0ms
0.0002000325978448088
0.9982900496445101
0.0ms
-655.9431947371444
-3.1264188955743264e-10
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000001650025079
3.3880211745390874
0.0ms
0.0002000325978448088
0.9982900496445101
0.0ms
-655.9431947371444
-3.1264188955743264e-10
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch76.0ms (1.3%)

Memory
-36.4MiB live, 45.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.347055429931675
256644806573.28995
11.0ms
-123043767066.45688
-583.8122998363098
61.0ms
-1.4664404021799088e+94
-3.5743612167837893e+87
Samples
61.0ms288×0valid
Compiler

Compiled 289 to 365 computations (-26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 3.0ms (56.3% of total)
ival-div: 2.0ms (37.5% 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
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.347055429931675
256644806573.28995
1.0ms
-583.8122998363098
-1.8579384654163684e-5
Compiler

Compiled 181 to 239 computations (-32% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000001650025079
3.3880211745390874
0.0ms
0.0002000325978448088
0.9982900496445101
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch11.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.347055429931675
256644806573.28995
8.0ms
-583.8122998363098
-1.8579384654163684e-5
Samples
4.0ms112×0valid
Compiler

Compiled 162 to 239 computations (-47.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (50% of total)
ival-div: 1.0ms (50% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory
-19.2MiB live, 19.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.347055429931675
256644806573.28995
9.0ms
-1.8579384654163684e-5
-2.4351711540827037e-7
Samples
4.0ms112×0valid
Compiler

Compiled 146 to 198 computations (-35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (49.5% of total)
ival-div: 1.0ms (49.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.857903946704292e-5
0.0002000325978448088
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify29.0ms (0.5%)

Memory
24.6MiB live, 63.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096675
1113675
2128675
3138675
4139675
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -33000000000000003077869569005522794097479622815695187077811129512668624761396999273578496 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -600 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))))
(if (<=.f64 y #s(literal -98 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -5312662293228351/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -33000000000000003077869569005522794097479622815695187077811129512668624761396999273578496 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -600 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))))
(if (<=.f64 y #s(literal -98 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -5312662293228351/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

soundness1.3s (21%)

Memory
13.6MiB live, 808.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02002382
16012173
217472052
367002016
081511915
01802850
15712682
215432518
359152518
082712411
096384
1281358
2787338
32726311
47421311
08109302
030197
043199
1198195
21563191
08833191
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 542 to 253 computations (53.3% saved)

preprocess103.0ms (1.7%)

Memory
6.9MiB live, 158.0MiB allocated
Compiler

Compiled 774 to 188 computations (75.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...