Details

Time bar (total: 1.4s)

analyze39.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample19.0ms

Algorithm
intervals
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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.3b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

15.8b
(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

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:
8.0ms
(/ (* (* x 2.0) y) (- x y))

series8.0ms

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

simplify33.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0211184
11144151
25002151

prune146.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
5.7b
(* (* x 2.0) (/ y (- x y)))

rewrite18.0ms

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))
10.0ms
(* (* x 2.0) (/ y (- x y)))

series14.0ms

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

simplify49.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0310435
11657385
25001385

prune75.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh134
Picked011
Done011
Total83790

Merged error: 0.0b

Counts
90 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* y (/ 1 (- x y)))
5.7b
(* (* x 2.0) (* y (/ 1 (- x y))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
31×add-cbrt-cube
27×prod-exp
23×add-cube-cbrt
22×associate-*r*
18×pow1
15×cbrt-unprod
9×pow-prod-down
8×div-exp
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×cbrt-undiv rec-exp 1-exp associate-*r/ associate-*l* associate-/r/
3×associate-/l* add-log-exp unswap-sqr
2×flip3-- un-div-inv *-commutative flip-- div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 117
Calls
3 calls:
5.0ms
(/ 1 (- x y))
10.0ms
(* y (/ 1 (- x y)))
11.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- x y))
6.0ms
(* y (/ 1 (- x y)))
9.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0379632
11779504
25001462

prune86.0ms

Filtered
62 candidates to 126 candidates (-103.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh044
Picked011
Done022
Total1267133

Merged error: 0.0b

Counts
133 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
6.1b
(/ (* x 2.0) (/ (- x y) y))

rewrite25.0ms

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:
8.0ms
(/ (- x y) y)
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- x y) y)
14.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0386605
11911547
25002547

prune116.0ms

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

regimes98.0ms

Accuracy

97.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.2b

bsearch76.0ms

Steps
ItersRangePoint
9
1.4682580558809397e-49
1.58228036476228e-42
2.0320758238986268e-48
9
-4.252044113295631e+42
-3.047849099123793e+34
-3.489185578228971e+37

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

analyze35.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample345.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid

Profiling

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