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

Time bar (total: 966.0ms)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
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)

sample552.0ms (57.2%)

Memory
6.5MiB live, 903.2MiB allocated; 201ms collecting garbage
Samples
338.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-sub!: 79.0ms (54.8% of total)
ival-mult!: 63.0ms (43.7% of total)
adjust: 2.0ms (1.4% of total)
Bogosity

explain44.0ms (4.5%)

Memory
-17.5MiB live, 79.4MiB allocated; 13ms 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
16.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 3.0ms (65.3% of total)
ival-sub!: 2.0ms (43.5% of total)
adjust: 0.0ms (0% of total)

preprocess74.0ms (7.7%)

Memory
-6.8MiB live, 39.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0820
11818
22618
34518
48818
529818
6247116
7640516
Stop Event
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
2.8MiB live, 2.8MiB 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)

rewrite64.0ms (6.7%)

Memory
28.0MiB live, 78.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02798
02896
18296
052896
Stop Event
iter-limit
iter-limit
iter-limit
unsound
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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) (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) (pow.f64 x #s(literal -1 binary64))) x) x))
#s(approx (- x 1) x)
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- x 1) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)))

eval2.0ms (0.2%)

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

Compiled 278 to 71 computations (74.5% saved)

prune2.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New25328
Fresh000
Picked011
Done000
Total25429
Accuracy
100.0%
Counts
29 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
99.9%
(*.f64 x #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
51.4%
(*.f64 x #s(approx (- x 1) x))
51.7%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 33 to 25 computations (24.2% saved)

series7.0ms (0.7%)

Memory
-37.3MiB live, 7.5MiB allocated; 4ms collecting garbage
Counts
12 → 21
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) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.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 (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 (pow x -1)) x) #s(hole binary64 -1))
#s(approx (* (- 1 (pow x -1)) x) #s(hole binary64 (- x 1)))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (pow 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 (pow x -1)) x) #s(hole binary64 x))
#s(approx (* (- 1 (pow x -1)) x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (pow x -1)) #s(hole binary64 1))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- 1 (pow x -1)) x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (pow x -1)) x) (- 1 (pow x -1)) 1 (pow x -1) -1)
2.0ms
x
@-inf
((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (pow x -1)) x) (- 1 (pow x -1)) 1 (pow x -1) -1)
1.0ms
x
@0
((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (pow x -1)) x) (- 1 (pow x -1)) 1 (pow x -1) -1)

rewrite77.0ms (8%)

Memory
31.1MiB live, 122.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050264
058260
1131260
0669260
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
33 → 89
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) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.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 (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 (pow x -1)) x) #s(hole binary64 -1))
#s(approx (* (- 1 (pow x -1)) x) #s(hole binary64 (- x 1)))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (pow 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 (pow x -1)) x) #s(hole binary64 x))
#s(approx (* (- 1 (pow x -1)) x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (pow x -1)) #s(hole binary64 1))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- 1 (pow x -1)) x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Outputs
#s(approx (* 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) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) 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 x (neg.f64 x)) (neg.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) x))
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) x))
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 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)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.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 (neg x) (neg.f64 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 (* (- 1 (pow x -1)) x) #s(literal -1 binary64))
#s(approx (* (- 1 (pow x -1)) x) (-.f64 x #s(literal 1 binary64)))
#s(approx (- 1 (pow x -1)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (pow x -1)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* x (- x 1)) (*.f64 x x))
#s(approx (* 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 (pow x -1)) x) x)
#s(approx (* (- 1 (pow x -1)) x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
#s(approx (- 1 (pow x -1)) #s(literal 1 binary64))
#s(approx (- 1 (pow x -1)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (- x 1) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* (- 1 (pow x -1)) x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)))

eval17.0ms (1.7%)

Memory
-16.9MiB live, 35.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 456 to 383 computations (73.7% saved)

prune3.0ms (0.3%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New94195
Fresh000
Picked123
Done011
Total95499
Accuracy
100.0%
Counts
99 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)))
51.4%
(*.f64 x #s(approx (- x 1) x))
51.7%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series2.0ms (0.2%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
7 → 20
Calls
Call 1
Inputs
(*.f64 x #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) 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)
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 (* (- 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)) #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 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Calls

3 calls:

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

rewrite73.0ms (7.5%)

Memory
5.6MiB live, 96.3MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043235
049232
1110232
0599232
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
27 → 66
Calls
Call 1
Inputs
(*.f64 x #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) 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)
#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 (* (- 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)) #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 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Outputs
(*.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)))
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) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) 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 x (neg.f64 x)) (neg.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) x))
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #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 (* (- 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) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* x (- x 1)) (*.f64 x x))
#s(approx (* 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 1) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (- 1 (/ 1 x)) x) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))

eval8.0ms (0.8%)

Memory
-26.9MiB live, 20.8MiB allocated; 1ms collecting garbage
Compiler

Compiled 1 101 to 288 computations (73.8% saved)

prune3.0ms (0.3%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done033
Total69473
Accuracy
100.0%
Counts
73 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)))
51.4%
(*.f64 x #s(approx (- x 1) x))
51.7%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 79 to 46 computations (41.8% saved)

regimes4.0ms (0.4%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
5 → 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 x #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 x #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms
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)

regimes3.0ms (0.3%)

Memory
8.7MiB live, 8.7MiB 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
98.5%2(*.f64 x (-.f64 x #s(literal 1 binary64)))
98.5%3x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.2%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* x (- 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
51.7%1x
51.7%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.4735317627894866e-15
94.78605361676749
Compiler

Compiled 8 to 8 computations (0% saved)

derivations10.0ms (1%)

Memory
-42.7MiB live, 10.8MiB allocated; 4ms collecting garbage
Stop Event
done
Compiler

Compiled 36 to 14 computations (61.1% saved)

preprocess16.0ms (1.7%)

Memory
33.4MiB live, 33.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 92 to 42 computations (54.3% saved)

end0.0ms (0%)

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

Profiling

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