Statistics.Sample:$skurtosis from math-functions-0.1.5.2

Time bar (total: 1.6s)

start0.0ms (0%)

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

analyze20.0ms (1.3%)

Memory
-25.8MiB live, 19.1MiB allocated; 9ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample925.0ms (59.6%)

Memory
22.4MiB live, 924.5MiB allocated; 245ms collecting garbage
Samples
594.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 271.0ms
ival-mult: 130.0ms (47.9% of total)
ival-sub: 71.0ms (26.2% of total)
ival-div: 60.0ms (22.1% of total)
exact: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain138.0ms (8.9%)

Memory
-4.2MiB live, 147.1MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-2(1.2260611729354147e-219 -2.3533206409907113e-160)(/.f64 x (*.f64 y y))
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 y y)
00-0-(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (*.f64 y y))n/u60
(*.f64 y y)underflow56
Confusion
Predicted +Predicted -
+62
-0248
Precision
1.0
Recall
0.75
Confusion?
Predicted +Predicted MaybePredicted -
+602
-00248
Precision?
1.0
Recall?
0.75
Freqs
test
numberfreq
0250
16
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 23.0ms (74.1% of total)
ival-mult: 4.0ms (12.9% of total)
ival-sub: 2.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
14046
29146
314746
419346
067
097
1157
2327
3587
4807
5937
61017
01017
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series19.0ms (1.2%)

Memory
-29.0MiB live, 13.9MiB allocated; 7ms collecting garbage
Counts
6 → 10
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)
Outputs
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ x (pow y 2))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
y
@inf
((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
2.0ms
x
@-inf
((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
2.0ms
y
@-inf
((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms
x
@inf
((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms
x
@0
((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)

rewrite56.0ms (3.6%)

Memory
41.5MiB live, 85.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037142
040133
1152133
01031132
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
16 → 46
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ x (pow y 2))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
x
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
#s(approx (/ x (* y y)) (/.f64 x (*.f64 y y)))
#s(approx x x)
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (- (/ x (* y y)) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64)))))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)

eval13.0ms (0.8%)

Memory
-35.0MiB live, 19.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 569 to 147 computations (74.2% saved)

prune2.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449
Accuracy
100.0%
Counts
49 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
97.3%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
48.0%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
51.8%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 36 to 29 computations (19.4% saved)

series7.0ms (0.5%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Counts
11 → 18
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
#s(literal 3 binary64)
Outputs
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 -3))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ (/ x y) y) #s(hole binary64 (/ x (pow y 2))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ x (pow y 2))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ x (pow y 2))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)
1.0ms
x
@-inf
((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)
1.0ms
y
@-inf
((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)
1.0ms
y
@inf
((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)
1.0ms
x
@0
((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3)

rewrite50.0ms (3.2%)

Memory
4.3MiB live, 48.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051291
056273
1183273
01104271
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
29 → 74
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 -3))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ (/ x y) y) #s(hole binary64 (/ x (pow y 2))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ x (pow y 2))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ x (pow y 2))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
Outputs
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
x
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
#s(literal 3 binary64)
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64))
#s(approx (- (/ (/ x y) y) 3) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
#s(approx (/ (/ x y) y) (/.f64 (/.f64 x y) y))
#s(approx x x)
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64))
#s(approx (- (/ (/ x y) y) 3) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
#s(approx (/ (/ x y) y) (/.f64 (/.f64 x y) y))
#s(approx (/ x y) (/.f64 x y))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
#s(approx (- (/ (/ x y) y) 3) (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
#s(approx (- (/ (/ x y) y) 3) (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64)))))
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64)))))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y))

eval9.0ms (0.6%)

Memory
-26.7MiB live, 17.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 901 to 177 computations (80.4% saved)

prune3.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New61162
Fresh000
Picked033
Done011
Total61566
Accuracy
100.0%
Counts
66 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
97.3%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
50.7%
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
48.0%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
51.8%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 49 to 38 computations (22.4% saved)

series5.0ms (0.3%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
5 → 10
Calls
Call 1
Inputs
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
Outputs
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 -3))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ (/ x y) y) #s(hole binary64 (/ x (pow y 2))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ x (pow y 2))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
#s(approx y #s(hole binary64 y))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y)
1.0ms
x
@inf
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y)
1.0ms
y
@-inf
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y)
1.0ms
x
@0
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y)
1.0ms
y
@inf
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y)

rewrite70.0ms (4.5%)

Memory
5.1MiB live, 50.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037147
040138
1148138
01018137
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
15 → 27
Calls
Call 1
Inputs
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 -3))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (- (/ x (pow y 2)) 3)))
#s(approx (/ (/ x y) y) #s(hole binary64 (/ x (pow y 2))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ x (pow y 2))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))))
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2))))
#s(approx y #s(hole binary64 y))
Outputs
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
x
y
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64))
#s(approx (- (/ (/ x y) y) 3) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
#s(approx (/ (/ x y) y) (/.f64 (/.f64 x y) y))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
#s(approx (- (/ (/ x y) y) 3) (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64)))))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y))
#s(approx y y)

eval3.0ms (0.2%)

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

Compiled 418 to 81 computations (80.6% saved)

prune3.0ms (0.2%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done044
Total28533
Accuracy
100.0%
Counts
33 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
97.3%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
50.7%
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
48.0%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
51.8%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 98 to 58 computations (40.8% saved)

regimes55.0ms (3.5%)

Memory
-37.0MiB live, 18.6MiB allocated; 6ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
Calls

5 calls:

47.0ms
(*.f64 y y)
2.0ms
y
2.0ms
x
2.0ms
(/.f64 x (*.f64 y y))
2.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(/.f64 x (*.f64 y y))
100.0%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
100.0%1x
100.0%1y
Compiler

Compiled 17 to 17 computations (0% saved)

regimes9.0ms (0.6%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
Outputs
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(/.f64 x (*.f64 y y))
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%2(*.f64 y y)
99.3%2(/.f64 x (*.f64 y y))
99.3%2(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
97.3%1x
99.9%2y
Compiler

Compiled 17 to 17 computations (0% saved)

regimes7.0ms (0.5%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Calls

5 calls:

2.0ms
y
2.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.3%1x
97.3%1(/.f64 x (*.f64 y y))
97.3%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
97.3%1(*.f64 y y)
97.3%1y
Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.4%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
Outputs
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
Calls

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
85.1%2(*.f64 y y)
97.0%3(/.f64 x (*.f64 y y))
97.0%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
67.5%3x
85.1%2y
Compiler

Compiled 17 to 17 computations (0% saved)

regimes53.0ms (3.4%)

Memory
-36.0MiB live, 8.8MiB allocated; 4ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Calls

5 calls:

49.0ms
y
1.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
51.8%1x
51.8%1(*.f64 y y)
51.8%1y
51.8%1(/.f64 x (*.f64 y y))
51.8%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch12.0ms (0.8%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
1.2007331362082867e-145
1.192099975256067e-142
Samples
6.0ms128×0valid
Compiler

Compiled 170 to 147 computations (13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (36.7% of total)
ival-sub: 1.0ms (36.7% of total)
ival-mult: 1.0ms (36.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.9999999391065986
195091532347.5319
0.0ms
-23750149588028277000.0
-3.0
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify13.0ms (0.8%)

Memory
22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02890
13990
26190
38890
411090
512390
613190
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 y #s(literal 1897979257072911/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -20000000000000000000 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -2 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 y #s(literal 1897979257072911/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(if (<=.f64 y #s(literal 1897979257072911/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -20000000000000000000 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -2 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
(if (or (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -20000000000000000000 binary64)) (not (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -2 binary64)))) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

derivations28.0ms (1.8%)

Memory
-19.0MiB live, 22.2MiB allocated; 8ms collecting garbage
Stop Event
done
Compiler

Compiled 90 to 27 computations (70% saved)

preprocess31.0ms (2%)

Memory
32.2MiB live, 74.8MiB allocated; 9ms collecting garbage
Remove

(abs y)

Compiler

Compiled 236 to 102 computations (56.8% saved)

end0.0ms (0%)

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

Profiling

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