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

Time bar (total: 1.3s)

start0.0ms (0%)

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

analyze91.0ms (7.2%)

Memory
-42.1MiB live, 17.3MiB allocated; 32ms 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)

sample708.0ms (56.2%)

Memory
26.2MiB live, 1 012.4MiB allocated; 132ms collecting garbage
Samples
478.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-mult: 81.0ms (40.7% of total)
ival-div: 63.0ms (31.7% of total)
ival-sub: 44.0ms (22.1% of total)
exact: 5.0ms (2.5% of total)
ival-assert: 3.0ms (1.5% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain77.0ms (6.1%)

Memory
-2.8MiB live, 89.6MiB allocated; 11ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-1(1.8521878669920376e-30 -4.891720300994323e-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/u180
(*.f64 y y)underflow77
Confusion
Predicted +Predicted -
+181
-0237
Precision
1.0
Recall
0.9473684210526315
Confusion?
Predicted +Predicted MaybePredicted -
+1801
-00237
Precision?
1.0
Recall?
0.9473684210526315
Freqs
test
numberfreq
0238
118
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (36.9% of total)
ival-div: 3.0ms (27.7% of total)
ival-sub: 2.0ms (18.4% 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)

preprocess16.0ms (1.2%)

Memory
17.1MiB live, 17.1MiB 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
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series6.0ms (0.5%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms 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
1.0ms
x
@-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)
1.0ms
y
@inf
((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms
y
@-inf
((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)

rewrite58.0ms (4.6%)

Memory
-0.5MiB live, 50.2MiB allocated; 12ms 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)

eval5.0ms (0.4%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 569 to 147 computations (74.2% saved)

prune2.0ms (0.2%)

Memory
6.0MiB live, 6.0MiB 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
99.9%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
93.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
45.8%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
49.2%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 36 to 29 computations (19.4% saved)

series12.0ms (0.9%)

Memory
-31.0MiB live, 13.8MiB allocated; 5ms 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
7.0ms
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)

rewrite51.0ms (4%)

Memory
28.8MiB live, 72.4MiB 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))

eval6.0ms (0.5%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 901 to 177 computations (80.4% saved)

prune16.0ms (1.3%)

Memory
-37.2MiB live, 8.4MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New61162
Fresh000
Picked123
Done011
Total62466
Accuracy
100.0%
Counts
66 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
52.5%
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
45.8%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
49.2%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 42 to 32 computations (23.8% saved)

series5.0ms (0.4%)

Memory
10.8MiB live, 10.8MiB 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)

rewrite51.0ms (4.1%)

Memory
3.4MiB live, 58.8MiB allocated; 6ms 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
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 418 to 81 computations (80.6% saved)

prune3.0ms (0.2%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done033
Total28432
Accuracy
100.0%
Counts
32 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
52.5%
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y))
45.8%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
49.2%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 91 to 52 computations (42.9% saved)

regimes18.0ms (1.4%)

Memory
-28.1MiB live, 18.4MiB allocated; 2ms 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:

10.0ms
(/.f64 x (*.f64 y y))
2.0ms
y
2.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1(*.f64 y y)
99.9%1(/.f64 x (*.f64 y y))
99.9%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
99.9%1x
99.9%1y
Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.7%)

Memory
15.7MiB live, 15.7MiB 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)
1.0ms
(/.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)
99.9%3(/.f64 x (*.f64 y y))
99.9%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
93.2%1x
99.9%2y
Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.5%)

Memory
10.9MiB live, 10.9MiB 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

4 calls:

2.0ms
y
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
93.2%1(/.f64 x (*.f64 y y))
93.2%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
93.2%1(*.f64 y y)
93.2%1y
Compiler

Compiled 16 to 15 computations (6.3% saved)

regimes6.0ms (0.5%)

Memory
12.9MiB live, 12.9MiB 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 x (*.f64 y y))
1.0ms
(*.f64 y y)
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
82.9%2(*.f64 y y)
70.2%3x
82.9%2y
92.1%3(/.f64 x (*.f64 y y))
92.1%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Compiler

Compiled 17 to 17 computations (0% saved)

regimes27.0ms (2.1%)

Memory
-35.6MiB live, 11.0MiB allocated; 2ms 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:

23.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms
x
1.0ms
y
1.0ms
(/.f64 x (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
49.2%1x
49.2%1(*.f64 y y)
49.2%1y
49.2%1(/.f64 x (*.f64 y y))
49.2%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch13.0ms (1%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
3.580243429889684e-147
1.0244569085761189e-141
Samples
6.0ms144×0valid
Compiler

Compiled 190 to 164 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (33.7% of total)
ival-sub: 1.0ms (33.7% of total)
ival-mult: 1.0ms (33.7% 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
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.9999999945522497
48170199945903490.0
0.0ms
-243349433.02078664
-3.00846636690643
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify12.0ms (1%)

Memory
16.6MiB live, 16.6MiB 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 6478435864142203/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 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 -200000000 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 6478435864142203/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 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 6478435864142203/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 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 -200000000 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 -200000000 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))

derivations34.0ms (2.7%)

Memory
-37.3MiB live, 8.9MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 90 to 27 computations (70% saved)

preprocess27.0ms (2.2%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 304 to 142 computations (53.3% saved)

end0.0ms (0%)

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

Profiling

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