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

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample906.0ms (65.4%)

Memory
-2.1MiB live, 659.4MiB allocated; 555ms collecting garbage
Samples
319.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 202.0ms
ival-sub!: 105.0ms (52% of total)
ival-mult!: 95.0ms (47.1% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess97.0ms (7%)

Memory
10.8MiB live, 42.2MiB allocated; 28ms 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 8 to 8 computations (0% saved)

series2.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB 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)

rewrite106.0ms (7.6%)

Memory
-8.9MiB live, 146.4MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02798
02996
18396
052996
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 (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 118 to 69 computations (41.5% saved)

prune2.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB 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
▶93.5%
(/.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)))
▶55.9%
(*.f64 x #s(approx (- x 1) x))
▶46.7%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 30 to 30 computations (0% saved)

series6.0ms (0.4%)

Memory
16.0MiB live, 16.0MiB 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
@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))

rewrite91.0ms (6.6%)

Memory
-15.6MiB live, 84.6MiB allocated; 21ms 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))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
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(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1 binary64))
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(+.f64 (*.f64 x x) #s(literal -1 binary64))
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#s(literal -1 binary64)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
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(+.f64 #s(literal 1 binary64) x)
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#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) (neg.f64 x))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (neg x) (neg.f64 x))
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#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (* (- 1 (/ 1 x)) x) #s(literal -1 binary64))
#s(approx (* (- 1 (/ 1 x)) x) (-.f64 x #s(literal 1 binary64)))
#s(approx (- 1 (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) (neg.f64 x))
#s(approx (/ (* (+ (* x x) -1) x) (- x -1)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
#s(approx (* (+ (* x x) -1) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#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 1) x)
#s(approx (- x 1) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
#s(approx (* (- 1 (/ 1 x)) x) x)
#s(approx (* (- 1 (/ 1 x)) x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
#s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))
#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))))

eval20.0ms (1.4%)

Memory
-10.3MiB live, 36.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 469 to 730 computations (50.3% saved)

prune6.0ms (0.4%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2131214
Fresh000
Picked224
Done011
Total2154219
Accuracy
100.0%
Counts
219 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (*.f64 x x) x)
✓100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
✓55.9%
(*.f64 x #s(approx (- x 1) x))
✓46.7%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 18 to 18 computations (0% saved)

series2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Counts
3 → 6
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) x)
(*.f64 x x)
x
Outputs
#s(approx (- (* x x) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* x x) x) #s(hole binary64 (* x (- x 1))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) x) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
Calls

3 calls:

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

rewrite61.0ms (4.4%)

Memory
16.3MiB live, 62.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02163
02262
17862
055262
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
9 → 37
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(approx (- (* x x) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* x x) x) #s(hole binary64 (* x (- x 1))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) x) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
Outputs
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 x (fma.f64 x x x)))))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 x (fma.f64 x x 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 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 x (fma.f64 x x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 x (fma.f64 x x x)))))
(-.f64 (*.f64 x x) x)
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(approx (- (* x x) x) (neg.f64 x))
#s(approx (- (* x x) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (* x x) x) (*.f64 x x))
#s(approx (- (* x x) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x))

eval13.0ms (1%)

Memory
-35.0MiB live, 11.6MiB allocated; 2ms collecting garbage
Compiler

Compiled 202 to 106 computations (47.5% saved)

prune3.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New36036
Fresh000
Picked011
Done033
Total36440
Accuracy
100.0%
Counts
40 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (*.f64 x x) x)
✓100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
✓55.9%
(*.f64 x #s(approx (- x 1) x))
✓46.7%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 43 to 41 computations (4.7% saved)

regimes5.0ms (0.3%)

Memory
11.8MiB live, 11.8MiB 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)))
(-.f64 (*.f64 x x) 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
(*.f64 x (-.f64 x #s(literal 1 binary64)))
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 5 to 5 computations (0% saved)

regimes3.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms 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:

1.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
98.0%2(*.f64 x (-.f64 x #s(literal 1 binary64)))
98.0%3x
Compiler

Compiled 5 to 5 computations (0% saved)

regimes2.0ms (0.2%)

Memory
6.0MiB live, 6.0MiB 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
x
1.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
46.7%1x
46.7%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.731558657584667e-9
2.9661408113153205
Compiler

Compiled 7 to 8 computations (-14.3% saved)

derivations41.0ms (3%)

Memory
-48.8MiB live, 6.9MiB allocated; 47ms collecting garbage
Stop Event
1×done
Compiler

Compiled 15 to 14 computations (6.7% saved)

preprocess20.0ms (1.4%)

Memory
44.9MiB live, 44.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 19 to 18 computations (5.3% saved)

end0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Profiling

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