Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

Time bar (total: 2.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze11.0ms (0.5%)

Memory
20.0MiB live, 20.0MiB allocated
Algorithm
1×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 7 computations (22.2% saved)

sample838.0ms (37.9%)

Memory
27.1MiB live, 1 167.3MiB allocated
Samples
516.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-div: 118.0ms (53.6% of total)
ival-add: 92.0ms (41.8% of total)
ival-true: 7.0ms (3.2% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain88.0ms (4%)

Memory
-6.1MiB live, 131.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 y y)
00-0-(/.f64 (+.f64 x y) (+.f64 y y))
00-0-y
00-0-(+.f64 x y)
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
61.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-add: 25.0ms (67.4% of total)
ival-div: 12.0ms (32.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess29.0ms (1.3%)

Memory
4.8MiB live, 59.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
13939
210839
324635
439635
545635
646935
057
087
1147
2247
3367
4427
0427
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y y)
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (+.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11415
22415
33615
44215
04215
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)

localize47.0ms (2.1%)

Memory
-12.9MiB live, 34.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y y)
accuracy0.0
(+.f64 x y)
accuracy0.00390625
(/.f64 (+.f64 x y) (+.f64 y y))
Samples
42.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (44.5% of total)
ival-add: 2.0ms (44.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
3 → 13
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
(+.f64 y y)
Outputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
y
(+ x y)
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* 2 y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify171.0ms (7.7%)

Memory
-12.6MiB live, 131.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03447
110547
222847
364847
4204947
5449847
6740947
0820044
Stop Event
1×iter limit
1×node limit
Counts
13 → 11
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
y
(+ x y)
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* 2 y)
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
y
(+ x y)
(+.f64 y x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite51.0ms (2.3%)

Memory
-19.7MiB live, 26.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13613
026713
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
3 → 42
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
(+.f64 y y)
Outputs
(*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) y)
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) (/.f64 x (*.f64 #s(literal -2 binary64) y))) (*.f64 (/.f64 y (*.f64 #s(literal -2 binary64) y)) (/.f64 y (*.f64 #s(literal -2 binary64) y)))) (-.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) (/.f64 y (*.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) (/.f64 x (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 (/.f64 y (*.f64 #s(literal -2 binary64) y)) (/.f64 y (*.f64 #s(literal -2 binary64) y))) (*.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) (/.f64 y (*.f64 #s(literal -2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 x (*.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) (/.f64 y (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (/.f64 y #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (/.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 y (*.f64 #s(literal -2 binary64) y)) (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) (/.f64 y (*.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 y x)
(+.f64 x y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)

eval5.0ms (0.2%)

Memory
5.6MiB live, 5.6MiB allocated
Compiler

Compiled 661 to 140 computations (78.8% saved)

prune2.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh000
Picked011
Done000
Total44448
Accuracy
100.0%
Counts
48 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
▶99.8%
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
▶57.9%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
▶43.8%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify16.0ms (0.7%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01360
01860
13160
24860
38260
412360
515860
619960
728860
838960
947160
1054660
1160560
1262560
1362760
062760
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x

localize59.0ms (2.7%)

Memory
-11.2MiB live, 33.7MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy0.0
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
accuracy0.10546875
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
accuracy0.0
(/.f64 x y)
accuracy0.00390625
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
accuracy26.955921770900268
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
accuracy35.989571060325744
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Samples
21.0ms256×0valid
Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 5.0ms (40.9% of total)
ival-add: 4.0ms (32.7% of total)
ival-mult: 3.0ms (24.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.4%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
7 → 8
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
Outputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ x y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ 1/2 y)
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y))
1.0ms
x
@-inf
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y))
1.0ms
x
@inf
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y))
1.0ms
y
@-inf
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y))
1.0ms
y
@0
((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y))

simplify39.0ms (1.8%)

Memory
-1.9MiB live, 41.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02040
16040
213540
331640
448640
572540
6149640
7218940
8255940
9255940
0255936
Stop Event
1×iter limit
1×saturated
Counts
8 → 8
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ x y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ 1/2 y)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)

rewrite87.0ms (4%)

Memory
-19.7MiB live, 48.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01353
01853
17353
044853
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
7 → 38
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) 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))
(neg.f64 (/.f64 x (neg.f64 y)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))

eval4.0ms (0.2%)

Memory
5.2MiB live, 5.2MiB allocated
Compiler

Compiled 787 to 139 computations (82.3% saved)

prune4.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New43043
Fresh000
Picked033
Done011
Total43447
Accuracy
100.0%
Counts
47 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
✓99.8%
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
✓57.9%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
✓43.8%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 86 to 46 computations (46.5% saved)

regimes6.0ms (0.3%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
Calls

3 calls:

2.0ms
y
2.0ms
x
1.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
99.8%1(/.f64 (+.f64 x y) (+.f64 y y))
99.8%1x
99.8%1y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.2%)

Memory
6.8MiB live, 6.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
98.5%3(/.f64 (+.f64 x y) (+.f64 y y))
81.9%3x
80.3%3y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes13.0ms (0.6%)

Memory
-40.6MiB live, 7.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Calls

3 calls:

10.0ms
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
43.8%1y
43.8%1x
43.8%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.5002874963866931
173.37598381648988
0.0ms
-74.79079865799022
0.49999999950789487
Compiler

Compiled 10 to 10 computations (0% saved)

simplify75.0ms (3.4%)

Memory
17.5MiB live, 61.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02273
13373
24273
35773
48573
514373
632773
799673
8252173
9396773
10587873
11756273
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -50 binary64)) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -50 binary64)) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -50 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

soundness566.0ms (25.6%)

Memory
-5.9MiB live, 233.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03447
110547
222847
364847
4204947
5449847
6740947
0820044
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 86 to 39 computations (54.7% saved)

preprocess75.0ms (3.4%)

Memory
21.2MiB live, 71.5MiB allocated
Compiler

Compiled 174 to 68 computations (60.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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