Numeric.Interval.Internal:bisect from intervals-0.7.1, A

Time bar (total: 1.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample646.0ms (56.7%)

Memory
-15.2MiB live, 889.0MiB allocated; 261ms collecting garbage
Samples
451.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 195.0ms
ival-add!: 120.0ms (61.4% of total)
ival-div!: 46.0ms (23.5% of total)
ival-sub!: 28.0ms (14.3% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain54.0ms (4.7%)

Memory
32.7MiB live, 79.1MiB allocated; 3ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
00-0-(-.f64 y x)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 y x) #s(literal 2 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
20.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div!: 3.0ms (53.1% of total)
ival-sub!: 2.0ms (35.4% of total)
ival-add!: 1.0ms (17.7% of total)
adjust: 0.0ms (0% of total)

preprocess98.0ms (8.6%)

Memory
-42.8MiB live, 55.9MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01948
13848
27048
310448
417248
536842
6178942
7580342
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series4.0ms (0.4%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
6 → 26
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
x
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(-.f64 y x)
y
#s(literal 2 binary64)
Outputs
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* 1/2 y)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- y x) 2) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (- y x) 2) #s(hole binary64 (+ (* -1/2 x) (* 1/2 y))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (/ (- y x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- y x) 2) #s(hole binary64 (* x (- (* 1/2 (/ y x)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (/ (- y x) 2) #s(hole binary64 (* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ x (* -1/2 x))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ x (+ (* -1/2 x) (* 1/2 y)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))))
#s(approx (/ (- y x) 2) #s(hole binary64 (* y (+ 1/2 (* -1/2 (/ x y))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))))
#s(approx (/ (- y x) 2) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ x y)) 1/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Calls

6 calls:

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

rewrite107.0ms (9.4%)

Memory
13.6MiB live, 103.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089346
092322
1443314
03806310
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
32 → 67
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
x
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(-.f64 y x)
y
#s(literal 2 binary64)
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* 1/2 y)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- y x) 2) #s(hole binary64 (* 1/2 y)))
#s(approx (/ (- y x) 2) #s(hole binary64 (+ (* -1/2 x) (* 1/2 y))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (/ (- y x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- y x) 2) #s(hole binary64 (* x (- (* 1/2 (/ y x)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (/ (- y x) 2) #s(hole binary64 (* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ x (* -1/2 x))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ x (+ (* -1/2 x) (* 1/2 y)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))))
#s(approx (/ (- y x) 2) #s(hole binary64 (* y (+ 1/2 (* -1/2 (/ x y))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))))
#s(approx (/ (- y x) 2) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ x y)) 1/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (*.f64 x x)))
(-.f64 (+.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 2 binary64)) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
x
(/.f64 (-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 y x)) #s(literal -2 binary64))
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)))
(-.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(-.f64 y (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 y x)
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))
y
#s(literal 2 binary64)
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (/ (- y x) 2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- y x) 2) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
#s(approx (- y x) y)
#s(approx (- y x) (-.f64 y x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- y x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- y x) 2) (*.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (- y x) (neg.f64 x))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)))
#s(approx (/ (- y x) 2) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (- y x) (-.f64 y x))
#s(approx y y)
#s(approx (+ x (/ (- y x) 2)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (/ (- y x) 2) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- y x) 2) (*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))

eval6.0ms (0.5%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 936 to 240 computations (74.4% saved)

prune2.0ms (0.2%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh000
Picked101
Done000
Total56359
Accuracy
100.0%
Counts
59 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶49.7%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶51.3%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 35 to 28 computations (20% saved)

series5.0ms (0.5%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
10 → 27
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.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)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
Outputs
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* 1/2 y)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ x (* -1/2 x))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ x (+ (* -1/2 x) (* 1/2 y)))))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

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

rewrite97.0ms (8.5%)

Memory
-18.8MiB live, 74.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090383
092358
1407357
03282351
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
37 → 151
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.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)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* 1/2 y)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ x (* -1/2 x))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (+ x (+ (* -1/2 x) (* 1/2 y)))))
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x (/ (- y x) 2)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) x)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) x))) (-.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) x x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) x)
(fma.f64 x #s(literal -1/2 binary64) x)
(-.f64 (-.f64 x x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) x)) x)
(-.f64 x (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (-.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 x x))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
x
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y y)
(fma.f64 y #s(literal -1/2 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) y)
y
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x) (*.f64 x x)))
(neg.f64 (*.f64 (+.f64 y x) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (-.f64 x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) y x))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (+.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)
(fma.f64 #s(literal -1/2 binary64) (+.f64 y x) (*.f64 #s(literal 1 binary64) (+.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) x (-.f64 x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) y x))
(fma.f64 #s(literal -1/2 binary64) x (+.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) y x))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (+.f64 y x) #s(literal -1/2 binary64) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) (-.f64 x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) y x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (-.f64 x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y x))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (+.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal -1/2 binary64) (-.f64 x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) y x))
(fma.f64 x #s(literal -1/2 binary64) (+.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (fma.f64 #s(literal 1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) y) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) y x) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 (+.f64 y x) #s(literal -1/2 binary64)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (*.f64 #s(literal 1 binary64) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x) (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) y x))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y 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 x (-.f64 x y) (*.f64 y 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 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y 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 x (-.f64 x y) (*.f64 y y)))
(/.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 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y 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)
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* (+ y x) 1/2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 y x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (+ y x) 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ y x) 1/2) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ y x) x)
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))
#s(approx (* (+ y x) 1/2) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))
#s(approx (+ y x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx y y)
#s(approx (+ x (/ (- y x) 2)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (* (+ y x) 1/2) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (* (+ y x) 1/2) (*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ y x) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))

eval13.0ms (1.1%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 841 to 461 computations (83.8% saved)

prune5.0ms (0.4%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1380138
Fresh000
Picked033
Done000
Total1383141
Accuracy
100.0%
Counts
141 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓49.7%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓51.3%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 77 to 46 computations (40.3% saved)

regimes7.0ms (0.6%)

Memory
-36.3MiB live, 10.0MiB allocated; 2ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.4%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
Calls

3 calls:

1.0ms
y
1.0ms
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
59.7%5(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
74.1%3x
75.7%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.3%)

Memory
7.1MiB live, 7.1MiB 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)) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
Calls

3 calls:

1.0ms
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
51.3%1(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
51.3%1x
51.3%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch19.0ms (1.7%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
102.75499939414571
24186.703111370298
10.0ms
-0.0018232370071143754
-2.35425741145949e-9
Samples
8.0ms256×0valid
Compiler

Compiled 362 to 331 computations (8.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub!: 1.0ms (36.1% of total)
ival-add!: 1.0ms (36.1% of total)
ival-div!: 1.0ms (36.1% of total)
adjust: 0.0ms (0% of total)

derivations44.0ms (3.9%)

Memory
-16.9MiB live, 29.2MiB allocated; 3ms collecting garbage
Stop Event
1×done
Compiler

Compiled 65 to 20 computations (69.2% saved)

preprocess26.0ms (2.3%)

Memory
-7.1MiB live, 39.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 144 to 52 computations (63.9% saved)

end0.0ms (0%)

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

Profiling

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