Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

Time bar (total: 1.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample725.0ms (42.9%)

Memory
21.6MiB live, 836.1MiB allocated; 168ms collecting garbage
Samples
331.0ms7 589×0valid
27.0ms212×2valid
25.0ms306×1valid
18.0ms149×3valid
Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-sub!: 57.0ms (36.3% of total)
ival-div!: 50.0ms (31.9% of total)
adjust: 29.0ms (18.5% of total)
ival-add!: 22.0ms (14% of total)
Bogosity

explain116.0ms (6.9%)

Memory
-17.9MiB live, 132.7MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (-.f64 x y) #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
00-0-(-.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
19.0ms466×0valid
2.0ms20×2valid
1.0ms18×1valid
1.0ms8×3valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div!: 3.0ms (36.7% of total)
adjust: 2.0ms (24.5% of total)
ival-sub!: 2.0ms (24.5% of total)
ival-add!: 1.0ms (12.2% of total)

preprocess85.0ms (5%)

Memory
-15.7MiB live, 29.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01948
13848
27048
310348
417248
536542
6177342
7579042
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series4.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
6 → 26
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
y
#s(literal 2 binary64)
Outputs
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1/2 y)))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Calls

6 calls:

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

rewrite162.0ms (9.6%)

Memory
8.9MiB live, 158.0MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090346
093324
1450318
03858312
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 x y) #s(literal 2 binary64)))
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
y
#s(literal 2 binary64)
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1/2 y)))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (*.f64 x x)))
(-.f64 (+.f64 x (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
x
(/.f64 (-.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 x y)) #s(literal -2 binary64))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 y #s(literal -1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.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 x (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 x y)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
y
#s(literal 2 binary64)
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx x x)
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (/ (- x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x y) 2) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- x y) x)
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
#s(approx (/ (- x y) 2) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (- x y) (-.f64 x y))
#s(approx y y)
#s(approx (+ x (/ (- x y) 2)) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (/ (- x y) 2) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (/ (- x y) 2) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))

eval6.0ms (0.3%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 937 to 240 computations (74.4% saved)

prune2.0ms (0.1%)

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New54458
Fresh000
Picked101
Done000
Total55459
Accuracy
100.0%
Counts
59 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.9%
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
▶100.0%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶51.1%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶50.5%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
Compiler

Compiled 47 to 38 computations (19.1% saved)

series8.0ms (0.4%)

Memory
-32.2MiB live, 13.5MiB allocated; 2ms collecting garbage
Counts
12 → 27
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
Outputs
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (* 3/2 x) #s(hole binary64 (* 3/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1/2 y)))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))
1.0ms
x
@-inf
((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))
1.0ms
y
@-inf
((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))
1.0ms
y
@inf
((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))
1.0ms
x
@0
((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))

rewrite105.0ms (6.2%)

Memory
17.1MiB live, 164.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090436
093416
1415413
03398407
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
39 → 117
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (* 3/2 x) #s(hole binary64 (* 3/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1/2 y)))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
Outputs
#s(approx (+ x (/ (- x y) 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))
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 x #s(literal 3/2 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)) (pow.f64 (*.f64 #s(literal -1/2 binary64) 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 3/2 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 3/2 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 -3/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x x)
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #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 x (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 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) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) x))
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x))
(/.f64 (-.f64 (*.f64 #s(literal 27/8 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 9/4 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 3/2 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 -3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 9/4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 9/4 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x))))
(/.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (fma.f64 #s(literal 27/8 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 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))) (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x))
(-.f64 x (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))) (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))))
(+.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) y x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (-.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))) (/.f64 (pow.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(+.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x)
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (* 3/2 x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx x x)
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (/ (- x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x y) 2) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
#s(approx (/ (- x y) 2) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (* -1/2 y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx y y)
#s(approx (+ x (/ (- x y) 2)) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (/ (- x y) 2) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (- x y) 2) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

eval13.0ms (0.7%)

Memory
-16.9MiB live, 28.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 473 to 380 computations (84.6% saved)

prune3.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1081109
Fresh000
Picked044
Done000
Total1085113
Accuracy
100.0%
Counts
113 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓58.9%
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓100.0%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶99.8%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
✓51.1%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓50.5%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
Compiler

Compiled 61 to 48 computations (21.3% saved)

series3.0ms (0.2%)

Memory
10.3MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
6 → 28
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
#s(literal -1/2 binary64)
(-.f64 y x)
y
x
Outputs
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
1.0ms
y
@inf
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
1.0ms
y
@-inf
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms
x
@-inf
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms
x
@0
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)

rewrite102.0ms (6.1%)

Memory
-9.2MiB live, 139.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084397
086364
1405355
03504351
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
34 → 93
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
#s(literal -1/2 binary64)
(-.f64 y x)
y
x
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3/2 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (-.f64 (*.f64 #s(literal 3/2 binary64) 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 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x))
(-.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))
(-.f64 x (*.f64 (neg.f64 (-.f64 y x)) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))))) (/.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) x) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) y x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(/.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 (+.f64 y x) (-.f64 x y)) (-.f64 (neg.f64 x) y))
(/.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))))
(/.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)))
(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
x
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* -1/2 (- y x)) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (- y x) y)
#s(approx (- y x) (-.f64 y x))
#s(approx x x)
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 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 (/ (- x y) 2)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64)) (neg.f64 x)))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64)) (neg.f64 x)))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (- y x) (-.f64 y x))
#s(approx y y)
#s(approx (+ x (/ (- x y) 2)) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))

eval9.0ms (0.5%)

Memory
-23.8MiB live, 23.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 879 to 320 computations (83% saved)

prune2.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New78179
Fresh000
Picked011
Done134
Total79584
Accuracy
100.0%
Counts
84 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓99.8%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
▶58.9%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
✓51.1%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓50.5%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
Compiler

Compiled 66 to 50 computations (24.2% saved)

series3.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
6 → 28
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)
#s(literal -1/2 binary64)
#s(approx (- y x) y)
y
x
Outputs
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms
x
@-inf
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms
y
@inf
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms
y
@-inf
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms
x
@0
((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)

rewrite105.0ms (6.2%)

Memory
-9.5MiB live, 134.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083412
085381
1416374
03625357
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
34 → 47
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)
#s(literal -1/2 binary64)
#s(approx (- y x) y)
y
x
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (- y x) y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 (pow.f64 #s(approx (- y x) y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 #s(approx (- y x) y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 #s(approx (- y x) y)) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)
(+.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(approx (- y x) y)
y
x
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* -1/2 (- y x)) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (- y x) y)
#s(approx (- y x) (-.f64 y x))
#s(approx x x)
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 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 (/ (- x y) 2)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64)) (neg.f64 x)))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64)) (neg.f64 x)))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (- y x) (-.f64 y x))
#s(approx y y)
#s(approx (+ x (/ (- x y) 2)) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))

eval3.0ms (0.2%)

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

Compiled 793 to 135 computations (83% saved)

prune3.0ms (0.2%)

Memory
6.5MiB live, 6.6MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New32032
Fresh000
Picked011
Done044
Total32537
Accuracy
100.0%
Counts
37 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓99.8%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
✓58.9%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
✓51.1%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓50.5%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
Compiler

Compiled 150 to 77 computations (48.7% saved)

regimes8.0ms (0.5%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Calls

3 calls:

3.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.5%)

Memory
-25.2MiB live, 20.7MiB allocated; 4ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
Calls

3 calls:

4.0ms
y
2.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
99.8%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
99.8%1x
99.8%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
62.9%3(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
80.3%3x
79.3%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.2%)

Memory
10.3MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
76.8%3y
78.3%3x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes17.0ms (1%)

Memory
-31.7MiB live, 15.2MiB allocated; 20ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

12.0ms
x
3.0ms
y
1.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
50.5%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
50.5%1y
50.5%1x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch32.0ms (1.9%)

Memory
13.6MiB live, 54.6MiB allocated; 15ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.118534795691671e-19
2.940147465950987e-17
10.0ms
-2.793138832657042e+99
-1.3926663265476088e+95
Samples
19.0ms218×0valid
1.0ms9×2valid
1.0ms11×1valid
0.0ms2×3valid
Compiler

Compiled 415 to 341 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div!: 2.0ms (52% of total)
adjust: 1.0ms (26% of total)
ival-add!: 1.0ms (26% of total)
ival-sub!: 1.0ms (26% of total)

bsearch46.0ms (2.7%)

Memory
-3.4MiB live, 37.7MiB allocated; 17ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
1.0688136197512709e-50
1.3472019732853935e-48
10.0ms
-6.275866130167527e+21
-19238856996400.945
Samples
33.0ms229×0valid
1.0ms13×2valid
1.0ms14×1valid
Compiler

Compiled 362 to 331 computations (8.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div!: 27.0ms (91.2% of total)
adjust: 1.0ms (3.4% of total)
ival-add!: 1.0ms (3.4% of total)
ival-sub!: 1.0ms (3.4% of total)

derivations61.0ms (3.6%)

Memory
23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 126 to 33 computations (73.8% saved)

preprocess48.0ms (2.8%)

Memory
-19.5MiB live, 27.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 280 to 92 computations (67.1% saved)

end0.0ms (0%)

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

Profiling

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