Details

Time bar (total: 1.7s)

sample229.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.561646%

Results
7.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.2b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

13.9b
(/ (* (* x 2.0) y) (- x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
12.0ms
(/ (* (* x 2.0) y) (- x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (* (* x 2.0) y) (- x y))

simplify31.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0211184
11144151
25002151

prune41.0ms

Filtered
21 candidates to 32 candidates (-52.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New27532
Fresh000
Picked011
Done000
Total27633

Merged error: 0.0b

Counts
33 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
8.4b
(* (* x 2.0) (/ y (- x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×flip3-- flip-- div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ y (- x y))
9.0ms
(* (* x 2.0) (/ y (- x y)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ y (- x y))
8.0ms
(* (* x 2.0) (/ y (- x y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0310435
11657385
25001385

prune69.0ms

Filtered
53 candidates to 84 candidates (-58.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh044
Picked011
Done011
Total83790

Merged error: 0.0b

Counts
90 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
8.0b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
43×add-sqr-sqrt
35×*-un-lft-identity
32×add-cbrt-cube
31×cbrt-prod
30×associate-*r*
27×times-frac
23×add-cube-cbrt
20×cbrt-div
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp associate-*l*
10×flip3-- associate-/r/ flip--
6×pow1 distribute-lft-out-- difference-of-squares
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/ unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 123
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
29.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series89.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))
8.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify93.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06531459
135441256
250021156

prune140.0ms

Filtered
101 candidates to 135 candidates (-33.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh044
Picked011
Done022
Total1357142

Merged error: 0.0b

Counts
142 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
9.0b
(/ (* x 2.0) (/ (- x y) y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 96
Calls
2 calls:
5.0ms
(/ (- x y) y)
10.0ms
(/ (* x 2.0) (/ (- x y) y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (- x y) y)
8.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0386605
11911547
25002547

prune73.0ms

Filtered
71 candidates to 102 candidates (-43.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1002102
Fresh303
Picked011
Done213
Total1054109

Merged error: 0b

Counts
109 → 4

regimes107.0ms

Accuracy

98.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.2b

bsearch26.0ms

Steps
ItersRangePoint
7
1.8410621348885045e-35
2.8289133445590433e-33
3.404743617336046e-35
6
-3.0122541969190983e-06
-7.02611158703571e-07
-2.2905381263113976e-06

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1238

end0.0ms

sample587.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.561646%

Results
225.0ms8000×body80valid

Profiling

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