Details

Time bar (total: 2.6s)

analyze294.0ms

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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%48%8.7%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%23.7%15%13
65%19.8%15.3%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms18×body80invalid

simplify155.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1294
2654
31284
41744
51894
62064
72554
83504
96254
1013524
1118314
1226184
1337484
1450014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.1b
(* (- y x) 6.0)
0.5b
(* (* (- y x) 6.0) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) 6.0) z))
6.0ms
(* (- y x) 6.0)
7.0ms
(* (* (- y x) 6.0) z)

series43.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ x (* (* (- y x) 6.0) z))
8.0ms
(* (- y x) 6.0)
16.0ms
(* (* (- y x) 6.0) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0246290
11073249
25001249

prune97.0ms

Filtered
40 candidates to 62 candidates (-55.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New54862
Fresh000
Picked011
Done000
Total54963

Merged error: 0.0b

Counts
63 → 9

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.2b
(* (- y x) (* 6.0 z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
6.0ms
(+ x (* (- y x) (* 6.0 z)))
13.0ms
(* (- y x) (* 6.0 z))

series35.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ x (* (- y x) (* 6.0 z)))
15.0ms
(* (- y x) (* 6.0 z))

simplify101.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206210
1717179
23878179
35003179

prune56.0ms

Filtered
24 candidates to 39 candidates (-62.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh167
Picked011
Done011
Total39948

Merged error: 0.0b

Counts
48 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
10.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))

series107.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
26.0ms
(cbrt (- y x))
27.0ms
(cbrt (- y x))
26.0ms
(cbrt (- y x))

simplify121.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0287793
1868756
23986674
35001652

prune130.0ms

Filtered
78 candidates to 113 candidates (-44.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1112113
Fresh246
Picked011
Done022
Total1139122

Merged error: 0b

Counts
122 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(cbrt (cbrt (- y x)))
0.6b
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
24×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×flip3-- flip--
8×add-cube-cbrt
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*r/ associate-*l/
Counts
4 → 65
Calls
4 calls:
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
4.0ms
(cbrt (cbrt (- y x)))
9.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- y x))
25.0ms
(cbrt (- y x))
28.0ms
(cbrt (cbrt (- y x)))
29.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))

simplify74.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0331628
1732598
22143558
35002530

prune102.0ms

Filtered
61 candidates to 77 candidates (-26.2%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done033
Total77986

Merged error: 0b

Counts
86 → 9

regimes300.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze294.0ms

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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%48%8.7%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%23.7%15%13
65%19.8%15.3%14

sample403.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid
15.0ms577×body80invalid

Profiling

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