Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze88.0ms (1.7%)

Memory
37.7MiB live, 89.4MiB 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
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample2.0s (38.2%)

Memory
-22.8MiB live, 1 313.4MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 742.0ms
ival-div: 326.0ms (43.9% of total)
ival-sub: 242.0ms (32.6% of total)
ival-mult: 158.0ms (21.3% of total)
ival-true: 7.0ms (0.9% of total)
exact: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain83.0ms (1.6%)

Memory
37.5MiB live, 177.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
790-5(4.004253998071246e-179 9.642744999923033e-143)(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u370
(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow37
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/o370
(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow37
Confusion
Predicted +Predicted -
+745
-0177
Precision
1.0
Recall
0.9367088607594937
Confusion?
Predicted +Predicted MaybePredicted -
+7405
-00177
Precision?
1.0
Recall?
0.9367088607594937
Freqs
test
numberfreq
0182
174
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (44.9% of total)
ival-sub: 3.0ms (22.5% of total)
ival-div: 3.0ms (22.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess96.0ms (1.9%)

Memory
-2.0MiB live, 130.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01953
15949
221637
371935
4109935
5118535
6126335
7143535
8153935
9161935
10162335
11162335
079
0119
1229
2537
31077
41247
51377
61617
72797
86097
98207
109477
1110337
1210597
010597
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify33.0ms (0.6%)

Memory
-20.7MiB live, 24.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
cost-diff0
(-.f64 x y)
cost-diff2
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0723
01123
12223
25321
310721
412421
513721
616121
727921
860921
982021
1094721
11103321
12105921
0105921
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize56.0ms (1.1%)

Memory
12.8MiB live, 73.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy17.923126325068264
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
51.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 38.0ms (85.8% of total)
ival-div: 4.0ms (9% of total)
ival-sub: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-14.8MiB live, 32.6MiB allocated
Counts
4 → 15
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* y (- (/ x y) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
2.0ms
y
@-inf
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
2.0ms
x
@inf
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
1.0ms
x
@0
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
1.0ms
y
@inf
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))

simplify167.0ms (3.3%)

Memory
8.2MiB live, 149.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04062
111462
227962
370356
4219856
5413956
6559656
7621056
0807756
Stop Event
iter limit
node limit
Counts
15 → 14
Calls
Call 1
Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* y (- (/ x y) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(+ x (* -1 y))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite183.0ms (3.6%)

Memory
4.9MiB live, 238.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0720
01120
13820
221618
3225018
0838918
Stop Event
iter limit
node limit
iter limit
Counts
4 → 420
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y x))))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) y) x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) x) y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 y x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (*.f64 y x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 x y) y))) (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 y x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) y)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 x y) x))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y x)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x y) y) (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y x)))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) y)) (*.f64 y (/.f64 y x)))) (neg.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y (/.f64 y (*.f64 #s(literal 2 binary64) x))))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (*.f64 (neg.f64 y) y))) (neg.f64 (*.f64 y (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 y y))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (/.f64 y x)))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (/.f64 y (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (neg.f64 y)))) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) y))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (/.f64 y x)))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (/.f64 y (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 y x))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (neg.f64 y)))) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 x (*.f64 y x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (/.f64 x y) x) (/.f64 (/.f64 y x) y)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 x (*.f64 y x)) (/.f64 (/.f64 y x) y)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) (/.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x))) (neg.f64 y))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x))) (neg.f64 y))
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 y) y)) (*.f64 #s(literal -2 binary64) x))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (-.f64 x y)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 y x) (*.f64 y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) y) (+.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 x y)
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) x)) y)
(*.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) y)) x)
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) y)
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) x))
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 y))
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 y)))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 y (fabs.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 y (fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 y (fabs.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 x (fabs.f64 (*.f64 #s(literal -2 binary64) y)))
(*.f64 x (fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y))))
(*.f64 x (fabs.f64 (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(+.f64 (*.f64 y x) (*.f64 y x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)

eval60.0ms (1.2%)

Memory
-16.7MiB live, 124.9MiB allocated
Compiler

Compiled 12 062 to 1 289 computations (89.3% saved)

prune9.0ms (0.2%)

Memory
31.9MiB live, 31.9MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4216427
Fresh000
Picked101
Done000
Total4226428
Accuracy
100.0%
Counts
428 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.8%
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
72.0%
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
87.3%
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
43.6%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
58.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 122 to 96 computations (21.3% saved)

simplify24.0ms (0.5%)

Memory
-17.8MiB live, 27.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) y)
cost-diff2
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(+.f64 x x)
cost-diff0
(*.f64 (+.f64 x x) y)
cost-diff0
(-.f64 x y)
cost-diff2
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02297
03393
15993
29789
315089
416989
519389
631389
765389
886389
999689
10108189
11110789
0110789
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
x
y
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) y)
(-.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 x y)
x
y
(*.f64 (+.f64 x x) y)
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 x y) y)
(-.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize55.0ms (1.1%)

Memory
-0.8MiB live, 145.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(/.f64 (-.f64 x y) y)
accuracy7.138119370169008
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(-.f64 x y)
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 (+.f64 x x) y)
accuracy17.923126325068264
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy36.09026771428966
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) x)
accuracy26.90112931998295
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy0.0
(/.f64 #s(literal 1/2 binary64) x)
accuracy0.015625
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Samples
40.0ms256×0valid
Compiler

Compiled 91 to 21 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 18.0ms (65% of total)
ival-mult: 6.0ms (21.7% of total)
ival-sub: 2.0ms (7.2% of total)
ival-add: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
28.8MiB live, 28.8MiB allocated
Counts
13 → 22
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) y)
(*.f64 #s(literal 2 binary64) x)
Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
-1
(- (/ x y) 1)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(/ (+ x (* -1 y)) y)
(* y (- (/ x y) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))
2.0ms
x
@0
((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))
2.0ms
x
@-inf
((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))
1.0ms
y
@0
((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))
1.0ms
y
@-inf
((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))

simplify129.0ms (2.5%)

Memory
-20.3MiB live, 117.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04789
112689
231089
378783
4275883
5567483
6741983
0813183
Stop Event
iter limit
node limit
Counts
22 → 21
Calls
Call 1
Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
-1
(- (/ x y) 1)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(/ (+ x (* -1 y)) y)
(* y (- (/ x y) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(+ x (* -1 y))
(-.f64 x y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite73.0ms (1.4%)

Memory
-4.4MiB live, 91.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02279
03379
111179
063179
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
13 → 135
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) y)
(*.f64 #s(literal 2 binary64) x)
Outputs
(/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) y) x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))) (+.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (*.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) y)
(/.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64)) x)
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (/.f64 (-.f64 x y) (neg.f64 y)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(-.f64 x y)
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 y))
(*.f64 (*.f64 #s(literal -2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 x y (*.f64 x y))
(fma.f64 y x (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x y))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 x x)
(*.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) y) x) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))) (+.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (*.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) y)
(/.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64)) x)
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (/.f64 (-.f64 x y) (neg.f64 y)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (/.f64 x x) (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) y))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))
(/.f64 (-.f64 x y) y)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 y)))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 x x)

eval12.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated
Compiler

Compiled 1 780 to 347 computations (80.5% saved)

prune4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1221123
Fresh011
Picked055
Done000
Total1227129
Accuracy
100.0%
Counts
129 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.8%
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
72.0%
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
87.3%
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
43.8%
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
43.6%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
58.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify23.0ms (0.4%)

Memory
-34.5MiB live, 12.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) x)
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
cost-diff3
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
cost-diff0
(*.f64 (+.f64 x x) y)
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01459
02259
13559
26759
311358
416158
522656
638756
755656
868856
978556
1084356
1185556
085556
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(*.f64 (+.f64 x x) y)
(+.f64 x x)
x
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
#s(literal -1 binary64)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
Outputs
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(*.f64 (+.f64 x x) y)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
#s(literal -1 binary64)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)

localize58.0ms (1.1%)

Memory
17.8MiB live, 64.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
accuracy0.0
(*.f64 #s(literal -2 binary64) y)
accuracy0.0
(neg.f64 y)
accuracy8.104995067903898
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
accuracy0.0
(*.f64 (+.f64 x x) y)
accuracy0.0
(neg.f64 y)
accuracy17.923126325068264
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
accuracy26.929608929613508
#s(approx (- x y) (neg.f64 y))
Samples
49.0ms256×0valid
Compiler

Compiled 55 to 15 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (37.1% of total)
ival-sub: 3.0ms (22.2% of total)
ival-mult: 3.0ms (22.2% of total)
ival-add: 1.0ms (7.4% of total)
ival-neg: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
8 → 22
Calls
Call 1
Inputs
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(*.f64 (+.f64 x x) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(*.f64 #s(literal -2 binary64) y)
Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(/ y x)
(/ (- (* -1 x) (* -1 y)) x)
(* -1 (/ y x))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
-1
(- (/ y x) 1)
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* -2 y)
(* y (- (/ x y) 1))
(* y (- (/ 1 x) (/ 1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (/ (neg y) x) (* -2 y))
2.0ms
y
@-inf
((/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (/ (neg y) x) (* -2 y))
1.0ms
y
@0
((/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (/ (neg y) x) (* -2 y))
1.0ms
x
@0
((/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (/ (neg y) x) (* -2 y))
1.0ms
x
@inf
((/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (/ (neg y) x) (* -2 y))

simplify279.0ms (5.4%)

Memory
4.1MiB live, 147.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04998
113394
232290
383584
4215484
5418684
6568484
7660184
0813184
Stop Event
iter limit
node limit
Counts
22 → 21
Calls
Call 1
Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(/ y x)
(/ (- (* -1 x) (* -1 y)) x)
(* -1 (/ y x))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
-1
(- (/ y x) 1)
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* -2 y)
(* y (- (/ x y) 1))
(* y (- (/ 1 x) (/ 1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
Outputs
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(/ y x)
(/.f64 y x)
(/ (- (* -1 x) (* -1 y)) x)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(+ x (* -1 y))
(-.f64 x y)
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(-.f64 (/.f64 y x) #s(literal 1 binary64))

rewrite82.0ms (1.6%)

Memory
1.1MiB live, 45.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
02248
17648
046448
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
8 → 48
Calls
Call 1
Inputs
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(*.f64 (+.f64 x x) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(*.f64 #s(literal -2 binary64) y)
Outputs
(/.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) x))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y))))
(/.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) x)) y)
(/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y))))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) y) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (/.f64 (/.f64 (neg.f64 y) x) y) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (neg.f64 y) x) y) #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 (/.f64 (neg.f64 y) x) y) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 (neg.f64 y) x) y) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (/.f64 (/.f64 (/.f64 (neg.f64 y) x) y) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (neg.f64 y) x) y) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 (/.f64 (neg.f64 y) x) y) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) #s(literal -2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)))) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (neg.f64 y) x))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) #s(literal -2 binary64)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))) (*.f64 #s(literal -2 binary64) y)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 (/.f64 (neg.f64 y) x) y) #s(literal -2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64)) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(neg.f64 (/.f64 y x))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal -2 binary64))

eval42.0ms (0.8%)

Memory
-24.4MiB live, 36.4MiB allocated
Compiler

Compiled 923 to 181 computations (80.4% saved)

prune2.0ms (0%)

Memory
7.5MiB live, 7.4MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New58159
Fresh000
Picked112
Done145
Total60666
Accuracy
100.0%
Counts
66 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
43.8%
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
87.3%
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
43.6%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
58.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 70 to 53 computations (24.3% saved)

simplify4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(-.f64 (/.f64 y x) #s(literal 1 binary64))
cost-diff0
#s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
01743
12343
22743
02743
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
#s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
x
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
Outputs
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
#s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
x
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)

localize45.0ms (0.9%)

Memory
-32.7MiB live, 58.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (/.f64 y x) #s(literal 1 binary64))
accuracy0.0
(*.f64 #s(literal -2 binary64) y)
accuracy0.0
#s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
accuracy8.104995067903898
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
Samples
35.0ms256×0valid
Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 21.0ms (78% of total)
ival-sub: 2.0ms (7.4% of total)
ival-mult: 2.0ms (7.4% of total)
ival-neg: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
5 → 13
Calls
Call 1
Inputs
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
#s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(*.f64 #s(literal -2 binary64) y)
Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ y x)
(/ (- (* -1 x) (* -1 y)) x)
(/ (+ y (* -1 x)) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
-1
(- (/ y x) 1)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(* -2 y)
(* y (- (/ 1 x) (/ 1 y)))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (- (/ y x) 1) (/ y x) (* -2 y))
1.0ms
y
@inf
((/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (- (/ y x) 1) (/ y x) (* -2 y))
1.0ms
x
@0
((/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (- (/ y x) 1) (/ y x) (* -2 y))
1.0ms
y
@0
((/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (- (/ y x) 1) (/ y x) (* -2 y))
1.0ms
x
@-inf
((/ (- -1 (/ (neg y) x)) (* -2 y)) (- -1 (/ (neg y) x)) (- (/ y x) 1) (/ y x) (* -2 y))

simplify270.0ms (5.3%)

Memory
5.6MiB live, 196.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03575
18365
215265
340559
4136459
5306559
6464059
7537559
8613859
9680259
10761659
11777659
12778659
13778659
0854759
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ y x)
(/ (- (* -1 x) (* -1 y)) x)
(/ (+ y (* -1 x)) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
-1
(- (/ y x) 1)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(* -2 y)
(* y (- (/ 1 x) (/ 1 y)))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
Outputs
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ y x)
(/.f64 y x)
(/ (- (* -1 x) (* -1 y)) x)
(/.f64 (-.f64 y x) x)
(/ (+ y (* -1 x)) x)
(/.f64 (-.f64 y x) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* y (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) x)

rewrite298.0ms (5.8%)

Memory
18.1MiB live, 239.7MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01339
01739
15639
232639
3489537
0839037
Stop Event
iter limit
node limit
iter limit
Counts
5 → 91
Calls
Call 1
Inputs
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
#s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(*.f64 #s(literal -2 binary64) y)
Outputs
(/.f64 (/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) y)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) y) #s(literal -2 binary64))
(/.f64 (/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal -2 binary64)) y)
(/.f64 (neg.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) y)))
#s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 y x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 y x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64))))
(expm1.f64 (/.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(expm1.f64 (log.f64 (/.f64 y x)))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 y x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64))))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 (/.f64 y x) x)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 y (*.f64 (neg.f64 x) x))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (/.f64 y x) x)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y (*.f64 x x))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y x))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 y) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (/.f64 y x) (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 y x) y)) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 y x) y)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (neg.f64 x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 x)))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (neg.f64 x))))
(/.f64 (fabs.f64 y) (fabs.f64 x))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 y x))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (/.f64 y x))) (sinh.f64 (log.f64 (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 y #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) y))

eval11.0ms (0.2%)

Memory
31.3MiB live, 31.3MiB allocated
Compiler

Compiled 2 429 to 463 computations (80.9% saved)

prune151.0ms (2.9%)

Memory
-43.0MiB live, 24.6MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done055
Total996105
Accuracy
100.0%
Counts
105 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
43.8%
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
87.3%
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
43.6%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
58.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 168 to 97 computations (42.3% saved)

regimes9.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(approx (- -1 (/ (neg y) x)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) y))
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
100.0%1x
100.0%1y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes27.0ms (0.5%)

Memory
-31.5MiB live, 17.0MiB allocated
Counts
5 → 6
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

23.0ms
y
2.0ms
x
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
85.5%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
85.5%5x
87.4%6y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

2.0ms
y
1.0ms
x
1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
60.1%2(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
77.2%3x
77.5%3y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
58.0%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
58.0%1x
58.0%1y
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch87.0ms (1.7%)

Memory
-21.4MiB live, 161.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.929196788035144e+97
8.74582896042103e+103
14.0ms
3.774657265323946e-199
3.552721763681308e-197
12.0ms
4.420312241571278e-214
2.469685408135001e-205
14.0ms
-1.578691092340213e-215
-3.043366919194615e-218
26.0ms
-7.675898400088044e+124
-4.204806828952446e+113
Samples
38.0ms688×0valid
Compiler

Compiled 994 to 822 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (44.2% of total)
ival-sub: 4.0ms (22.1% of total)
ival-div: 4.0ms (22.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.3%)

Memory
-1.1MiB live, 45.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.420312241571278e-214
2.469685408135001e-205
14.0ms
-6289.348908272106
-0.000207789404755372
Samples
7.0ms144×0valid
Compiler

Compiled 480 to 408 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (55.5% of total)
ival-sub: 1.0ms (27.7% of total)
ival-div: 1.0ms (27.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify47.0ms (0.9%)

Memory
37.6MiB live, 82.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038133
159133
2101133
3165133
4218133
5324133
6816133
76039133
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -52000000000000000602325363113389663760125631066938692556150244459689450156739902725205829895714729445381639936265997500022784 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -6016007607665247/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 2711053400359889/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 4847741246866981/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 74999999999999992186503848873513880730080664195755959229161850837389970267875526406540758682579515736064 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 y #s(literal -29 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 2711053400359889/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -52000000000000000602325363113389663760125631066938692556150244459689450156739902725205829895714729445381639936265997500022784 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -6016007607665247/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 2711053400359889/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 4847741246866981/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 74999999999999992186503848873513880730080664195755959229161850837389970267875526406540758682579515736064 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 y #s(literal -52000000000000000602325363113389663760125631066938692556150244459689450156739902725205829895714729445381639936265997500022784 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -6016007607665247/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 2711053400359889/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (or (<=.f64 y #s(literal 4847741246866981/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) (not (<=.f64 y #s(literal 74999999999999992186503848873513880730080664195755959229161850837389970267875526406540758682579515736064 binary64)))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))))))
(if (<=.f64 y #s(literal -29 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 2711053400359889/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
(if (or (<=.f64 y #s(literal -29 binary64)) (not (<=.f64 y #s(literal 2711053400359889/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

soundness572.0ms (11.1%)

Memory
-6.8MiB live, 271.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0720
01120
13820
221618
3225018
0838918
04062
111462
227962
370356
4219856
5413956
6559656
7621056
0807756
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 182 to 81 computations (55.5% saved)

preprocess34.0ms (0.7%)

Memory
21.6MiB live, 66.6MiB allocated
Compiler

Compiled 298 to 106 computations (64.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...