Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

Time bar (total: 1.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample538.0ms (51.4%)

Memory
20.1MiB live, 546.0MiB allocated; 101ms collecting garbage
Samples
333.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-mult!: 91.0ms (60.5% of total)
ival-sub!: 57.0ms (37.9% of total)
adjust: 2.0ms (1.3% of total)
Bogosity

explain46.0ms (4.4%)

Memory
-22.9MiB live, 67.9MiB allocated; 8ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 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
21.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 3.0ms (67.4% of total)
ival-sub!: 2.0ms (45% of total)
adjust: 0.0ms (0% of total)

preprocess76.0ms (7.3%)

Memory
-9.6MiB live, 44.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0820
11818
22618
34518
48818
529818
6247116
7640516
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

series2.0ms (0.2%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Counts
4 → 10
Calls
Call 1
Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (* x (- x 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- x 1)) #s(hole binary64 (* x (- x 1))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (* x (- x 1)) #s(hole binary64 (pow x 2)))
#s(approx (* x (- x 1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* x (- x 1)) x (- x 1) 1)
1.0ms
x
@-inf
((* x (- x 1)) x (- x 1) 1)
0.0ms
x
@0
((* x (- x 1)) x (- x 1) 1)

rewrite75.0ms (7.1%)

Memory
18.8MiB live, 65.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02798
02896
18296
052896
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
14 → 26
Calls
Call 1
Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (- x 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- x 1)) #s(hole binary64 (* x (- x 1))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (* x (- x 1)) #s(hole binary64 (pow x 2)))
#s(approx (* x (- x 1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Outputs
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
x
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (* x (- x 1)) (*.f64 x x))
#s(approx (* x (- x 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x))
#s(approx (- x 1) x)
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- x 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))

eval2.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 259 to 69 computations (73.4% saved)

prune2.0ms (0.2%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New19423
Fresh000
Picked011
Done000
Total19524
Accuracy
100.0%
Counts
24 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.0%
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
✓100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
▶99.9%
(*.f64 x #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
▶52.1%
(*.f64 x #s(approx (- x 1) x))
▶48.3%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 43 to 30 computations (30.2% saved)

series6.0ms (0.6%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
16 → 38
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
x
(*.f64 x #s(approx (- x 1) x))
#s(approx (- x 1) x)
(*.f64 x #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
Outputs
#s(approx (* x (- x 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- x 1)) #s(hole binary64 (* x (- x 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 -1))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (- x 1)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) #s(hole binary64 (* x (- x 1))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* x (- (pow x 2) 1))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (* x (- x 1)) #s(hole binary64 (pow x 2)))
#s(approx (* x (- x 1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 x))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 1))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* (pow x 3) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))))
Calls

3 calls:

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

rewrite82.0ms (7.9%)

Memory
-10.2MiB live, 76.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088491
0101454
1257447
01716447
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
54 → 227
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
x
(*.f64 x #s(approx (- x 1) x))
#s(approx (- x 1) x)
(*.f64 x #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(approx (* x (- x 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- x 1)) #s(hole binary64 (* x (- x 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 -1))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (- x 1)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) #s(hole binary64 (* x (- x 1))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* x (- (pow x 2) 1))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (* x (- x 1)) #s(hole binary64 (pow x 2)))
#s(approx (* x (- x 1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 x))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 1))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* (pow x 3) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (+ (* x x) -1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))))
Outputs
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
(*.f64 #s(approx (- x 1) x) x)
(*.f64 x #s(approx (- x 1) x))
#s(approx (- x 1) x)
(*.f64 #s(approx (- x 1) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) x)
(*.f64 x #s(approx (- x 1) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))
#s(approx (- x 1) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 x x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
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#s(approx (- 1 (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) (*.f64 x x))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) (*.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) x))
#s(approx (* (+ (* x x) -1) x) (*.f64 (*.f64 x x) x))
#s(approx (* (+ (* x x) -1) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (*.f64 x x)))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- x 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* (- 1 (/ 1 x)) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* (+ (* x x) -1) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))

eval38.0ms (3.6%)

Memory
-14.7MiB live, 80.4MiB allocated; 17ms collecting garbage
Compiler

Compiled 3 556 to 730 computations (79.5% saved)

prune3.0ms (0.3%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2131214
Fresh000
Picked224
Done101
Total2163219
Accuracy
100.0%
Counts
219 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x x (neg.f64 x))
✓52.1%
(*.f64 x #s(approx (- x 1) x))
✓48.3%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 20 to 14 computations (30% saved)

series1.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Counts
3 → 6
Calls
Call 1
Inputs
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)
Outputs
#s(approx (+ (* x x) (neg x)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* x x) (neg x)) #s(hole binary64 (* x (- x 1))))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* x x) (neg x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (neg x)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* x x) (neg x)) x (neg x))
0.0ms
x
@inf
((+ (* x x) (neg x)) x (neg x))
0.0ms
x
@0
((+ (* x x) (neg x)) x (neg x))

rewrite43.0ms (4.1%)

Memory
17.9MiB live, 64.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261
02359
17959
058159
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
9 → 49
Calls
Call 1
Inputs
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)
#s(approx (+ (* x x) (neg x)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* x x) (neg x)) #s(hole binary64 (* x (- x 1))))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* x x) (neg x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (neg x)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
Outputs
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x (neg.f64 x)))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (neg.f64 x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x (neg.f64 x))) (fma.f64 x x x))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (neg.f64 x))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 x x) (neg.f64 x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (neg.f64 x))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x x)))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (neg.f64 x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x x (neg.f64 x))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) x)
(-.f64 (neg.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x x))))))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x x))
x
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (+ (* x x) (neg x)) (neg.f64 x))
#s(approx (+ (* x x) (neg x)) (fma.f64 x x (neg.f64 x)))
#s(approx x x)
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (* x x) (neg x)) (*.f64 x x))
#s(approx (+ (* x x) (neg x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x))

eval8.0ms (0.8%)

Memory
-28.2MiB live, 16.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 553 to 110 computations (80.1% saved)

prune2.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done022
Total48351
Accuracy
100.0%
Counts
51 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x x (neg.f64 x))
✓52.1%
(*.f64 x #s(approx (- x 1) x))
✓48.3%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 68 to 36 computations (47.1% saved)

regimes5.0ms (0.5%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(*.f64 x #s(approx (- x 1) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 x))
(*.f64 x #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
Outputs
(fma.f64 x x (neg.f64 x))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
100.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes3.0ms (0.3%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(*.f64 x #s(approx (- x 1) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
100.0%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
100.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes50.0ms (4.8%)

Memory
-44.7MiB live, 26.1MiB allocated; 66ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(*.f64 x #s(approx (- x 1) x))
Outputs
#s(approx (* x (- x 1)) (neg.f64 x))
(*.f64 x #s(approx (- x 1) x))
Calls

2 calls:

49.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
95.7%2(*.f64 x (-.f64 x #s(literal 1 binary64)))
95.7%3x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.2%)

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 (- x 1)) (neg.f64 x))
Outputs
#s(approx (* x (- x 1)) (neg.f64 x))
Calls

2 calls:

1.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
48.3%1x
48.3%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.481685125211923
3075393.8129458143
Compiler

Compiled 8 to 8 computations (0% saved)

derivations21.0ms (2%)

Memory
-19.6MiB live, 31.4MiB allocated; 5ms collecting garbage
Stop Event
1×done
Compiler

Compiled 41 to 15 computations (63.4% saved)

preprocess40.0ms (3.8%)

Memory
10.3MiB live, 56.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 92 to 38 computations (58.7% saved)

end0.0ms (0%)

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

Profiling

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