Data.Random.Dice:roll from dice-0.1

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

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

Compiled 7 to 6 computations (14.3% saved)

sample938.0ms (28.1%)

Memory
18.2MiB live, 817.0MiB allocated; 212ms collecting garbage
Samples
411.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-mult: 124.0ms (59.7% of total)
ival-sub: 68.0ms (32.7% of total)
ival-true: 6.0ms (2.9% of total)
exact: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.4% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain69.0ms (2.1%)

Memory
19.7MiB live, 63.2MiB allocated; 15ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) #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
40.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 26.0ms (86.7% of total)
ival-sub: 3.0ms (10% 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)

preprocess345.0ms (10.3%)

Memory
-39.2MiB live, 259.2MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
12011
25911
313111
446210
5263810
6708910
045
065
1155
2425
31145
43765
523125
678645
080024
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Outputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify185.0ms (5.5%)

Memory
6.3MiB live, 161.2MiB allocated; 18ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff1
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11510
24210
311410
437610
5231210
6786410
080029
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
Outputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)

localize20.0ms (0.6%)

Memory
-20.0MiB live, 25.3MiB allocated; 5ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
Samples
16.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 10.0ms (86.9% of total)
ival-sub: 1.0ms (8.7% 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)

series1.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Counts
2 → 4
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
Outputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Calls

3 calls:

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

simplify185.0ms (5.5%)

Memory
25.7MiB live, 199.6MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11420
23320
38920
434720
5369920
0887518
Stop Event
1×iter limit
1×node limit
Counts
4 → 4
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x) x)

rewrite103.0ms (3.1%)

Memory
-9.3MiB live, 35.7MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1318
02337
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 50
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
Outputs
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(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))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 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 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval5.0ms (0.2%)

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

Compiled 458 to 121 computations (73.6% saved)

prune2.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New52254
Fresh000
Picked101
Done000
Total53255
Accuracy
100.0%
Counts
55 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x x #s(literal -1 binary64))
▶50.9%
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify191.0ms (5.7%)

Memory
13.2MiB live, 161.9MiB allocated; 27ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
0813
11813
24913
312813
438913
5230213
6788113
0801113
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
Outputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)

localize35.0ms (1.1%)

Memory
-34.7MiB live, 59.3MiB allocated; 3ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy31.40072274066925
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Samples
28.0ms256×0valid
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 20.0ms (87% of total)
ival-sub: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% 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)

series1.0ms (0%)

Memory
3.0MiB live, 3.1MiB allocated; 0ms collecting garbage
Counts
2 → 4
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
Outputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Calls

3 calls:

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

simplify228.0ms (6.8%)

Memory
19.5MiB live, 400.7MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11420
23320
38920
434720
5369920
0887418
Stop Event
1×iter limit
1×node limit
Counts
4 → 4
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x) x)

rewrite63.0ms (1.9%)

Memory
2.3MiB live, 101.0MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
0810
14310
033510
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 45
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
Outputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(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))
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))

eval5.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 465 to 112 computations (75.9% saved)

prune2.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New47148
Fresh000
Picked022
Done000
Total47350
Accuracy
100.0%
Counts
50 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x x #s(literal -1 binary64))
▶50.3%
#s(approx (- (* x x) 1) (*.f64 x x))
✓50.9%
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Compiler

Compiled 20 to 15 computations (25% saved)

simplify130.0ms (3.9%)

Memory
-35.3MiB live, 104.1MiB allocated; 15ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (* x x) 1) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0713
11613
24313
311513
437713
5231613
6787613
0800612
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 x x)
x

localize26.0ms (0.8%)

Memory
2.9MiB live, 48.2MiB allocated; 4ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy31.808520666821146
#s(approx (- (* x x) 1) (*.f64 x x))
Samples
8.0ms256×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (55.9% of total)
ival-sub: 1.0ms (27.9% 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)

series1.0ms (0%)

Memory
3.3MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
2 → 4
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 x x)
Outputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Calls

3 calls:

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

simplify157.0ms (4.7%)

Memory
38.9MiB live, 228.2MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11420
23320
38920
434720
5369920
0887418
Stop Event
1×iter limit
1×node limit
Counts
4 → 4
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x) x)

rewrite50.0ms (1.5%)

Memory
-28.3MiB live, 62.3MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
0712
13212
023411
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 23
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 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 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 312 to 73 computations (76.6% saved)

prune2.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done022
Total27330
Accuracy
100.0%
Counts
30 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x x #s(literal -1 binary64))
✓50.3%
#s(approx (- (* x x) 1) (*.f64 x x))
✓50.9%
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Compiler

Compiled 45 to 26 computations (42.2% saved)

regimes5.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (*.f64 x x))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Outputs
(fma.f64 x x #s(literal -1 binary64))
Calls

3 calls:

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

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (*.f64 x x))
Outputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (*.f64 x x))
Calls

3 calls:

1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.4%2(*.f64 x x)
99.4%2(-.f64 (*.f64 x x) #s(literal 1 binary64))
99.4%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB 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) #s(literal -1 binary64))
Outputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
50.9%1(*.f64 x x)
50.9%1(-.f64 (*.f64 x x) #s(literal 1 binary64))
50.9%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch153.0ms (4.6%)

Memory
-14.5MiB live, 49.9MiB allocated; 81ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
151.0ms
0.12886321219464955
28473.366371047636
Samples
146.0ms144×0valid
Compiler

Compiled 152 to 134 computations (11.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-mult: 108.0ms (98.8% of total)
ival-sub: 1.0ms (0.9% 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)

simplify53.0ms (1.6%)

Memory
-2.8MiB live, 44.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
12031
24731
312631
449731
5266931
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 x x #s(literal -1 binary64))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- (* x x) 1) (*.f64 x x)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Outputs
(fma.f64 x x #s(literal -1 binary64))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- (* x x) 1) (*.f64 x x)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))

derivations323.0ms (9.7%)

Memory
-6.6MiB live, 264.9MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1318
02337
0920
11420
23320
38920
434720
5369920
0887418
0920
11420
23320
38920
434720
5369920
0887518
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Compiler

Compiled 31 to 12 computations (61.3% saved)

preprocess55.0ms (1.6%)

Memory
-21.0MiB live, 85.5MiB allocated; 21ms collecting garbage
Remove

(abs x)

Compiler

Compiled 80 to 38 computations (52.5% saved)

end0.0ms (0%)

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

Profiling

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