Linear.Projection:inversePerspective from linear-1.19.1.3, C

Time bar (total: 1.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze70.0ms (5.5%)

Memory
-35.3MiB live, 22.0MiB allocated; 30ms collecting garbage
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)

sample666.0ms (52.2%)

Memory
40.0MiB live, 695.4MiB allocated; 221ms collecting garbage
Samples
428.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult!: 74.0ms (54% of total)
ival-div!: 34.0ms (24.8% of total)
ival-add!: 27.0ms (19.7% of total)
adjust: 1.0ms (0.7% of total)
Bogosity

explain62.0ms (4.8%)

Memory
5.1MiB live, 110.1MiB allocated; 11ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-4(7.20446758023976e-109 1.8131000109534037e-215)(/.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/o330
(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow33
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u270
(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow27
Confusion
Predicted +Predicted -
+604
-0192
Precision
1.0
Recall
0.9375
Confusion?
Predicted +Predicted MaybePredicted -
+6004
-00192
Precision?
1.0
Recall?
0.9375
Freqs
test
numberfreq
0196
160
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div!: 5.0ms (46.5% of total)
ival-mult!: 4.0ms (37.2% of total)
ival-add!: 1.0ms (9.3% of total)
adjust: 0.0ms (0% of total)

preprocess66.0ms (5.2%)

Memory
-3.7MiB live, 41.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02262
17258
226442
3101342
4312742
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Symmetry

(sort x y)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series19.0ms (1.5%)

Memory
-22.5MiB live, 24.3MiB allocated; 2ms collecting garbage
Counts
7 → 16
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
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms
y
@-inf
((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms
x
@inf
((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
1.0ms
x
@0
((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
1.0ms
y
@inf
((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)

rewrite82.0ms (6.4%)

Memory
-6.2MiB live, 87.3MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060201
065193
1255193
01893189
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 69
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)
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y x))
(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))) (-.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (-.f64 (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) x)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) x) y)
(/.f64 (/.f64 (+.f64 y x) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (+.f64 y x) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (neg.f64 (+.f64 y x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(+.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(+.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.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 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 y x)
(+.f64 x y)
x
y
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y x) (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) y))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (*.f64 y x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.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))))
(+.f64 x x)
#s(literal 2 binary64)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (* (* x 2) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
#s(approx (* x 2) (*.f64 #s(literal 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 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x y) x)
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx y y)
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))

eval6.0ms (0.5%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 047 to 215 computations (79.5% saved)

prune4.0ms (0.3%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New61566
Fresh000
Picked101
Done000
Total62567
Accuracy
100.0%
Counts
67 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
87.9%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
47.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
54.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
100.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
Compiler

Compiled 140 to 102 computations (27.1% saved)

series16.0ms (1.2%)

Memory
-20.4MiB live, 25.0MiB allocated; 3ms collecting garbage
Counts
19 → 41
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal -1/2 binary64) y)
#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) 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)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x y)
Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y))
3.0ms
x
@-inf
((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y))
2.0ms
x
@0
((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y))
2.0ms
y
@-inf
((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y))
2.0ms
x
@inf
((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) 1/2) x) (+ (* (/ x y) 1/2) 1/2) (/ x y))

rewrite88.0ms (6.9%)

Memory
21.2MiB live, 112.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112654
0123619
1423577
02828571
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
60 → 235
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal -1/2 binary64) y)
#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) 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)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x y)
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
#s(approx (/ (+ x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 (+.f64 y x) (*.f64 y x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) x) 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))) (+.f64 (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 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(/.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) y) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #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 (+.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) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (neg.f64 y)))
(/.f64 (fma.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 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 y (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (neg.f64 y)))
(/.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) y) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (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 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))
(/.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 (+.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) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (neg.f64 (*.f64 y x)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 y x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.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 (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 (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 1/2 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 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.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(literal 1/2 binary64)
x
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (neg.f64 y))
(neg.f64 (/.f64 #s(literal 1/2 binary64) y))
#s(literal -1/2 binary64)
y
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.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 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 #s(literal 2 binary64) y) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y x))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) y)
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#s(approx (/ (+ x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (/ (+ (* (/ x y) 1/2) 1/2) x) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (+ (* (/ x y) 1/2) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))

eval43.0ms (3.4%)

Memory
-12.3MiB live, 40.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 930 to 780 computations (84.2% saved)

prune6.0ms (0.5%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2300230
Fresh000
Picked055
Done000
Total2305235
Accuracy
100.0%
Counts
235 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
87.9%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
47.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
54.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
100.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
Compiler

Compiled 149 to 79 computations (47% saved)

regimes7.0ms (0.6%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
6 → 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 (+.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.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)

regimes18.0ms (1.4%)

Memory
-36.1MiB live, 11.1MiB allocated; 1ms collecting garbage
Counts
4 → 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 (+.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) y))
(/.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:

14.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
89.8%5(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
90.3%3x
91.9%3y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.2%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
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))
Outputs
#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

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
86.7%2x
85.6%2y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.2%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
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
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
54.0%1(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
54.0%1y
54.0%1x
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch24.0ms (1.9%)

Memory
-2.8MiB live, 41.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
8.47088231990073e+147
1.44276700487183e+154
9.0ms
1.5640388447878875e-180
1.3333358927281717e-176
Samples
10.0ms272×0valid
Compiler

Compiled 386 to 318 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (47.3% of total)
ival-add!: 1.0ms (23.7% of total)
ival-div!: 1.0ms (23.7% of total)
adjust: 0.0ms (0% of total)

bsearch12.0ms (0.9%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-1.023698154926904e-153
-7.3620139096412e-162
Samples
5.0ms144×0valid
Compiler

Compiled 246 to 210 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (43.9% of total)
ival-div!: 1.0ms (43.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations24.0ms (1.9%)

Memory
-16.3MiB live, 30.2MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 103 to 29 computations (71.8% saved)

preprocess58.0ms (4.5%)

Memory
13.4MiB live, 66.7MiB allocated; 23ms collecting garbage
Compiler

Compiled 430 to 192 computations (55.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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