Details

Time bar (total: 3.3s)

analyze566.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms55×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0677
1677

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.9b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ a2 (* b1 b2))
6.0b
(* a1 (/ a2 (* b1 b2)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
4.0ms
(/ a2 (* b1 b2))
6.0ms
(* a1 (/ a2 (* b1 b2)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ a2 (* b1 b2))
8.0ms
(* a1 (/ a2 (* b1 b2)))

simplify47.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04995386
14995386

prune80.0ms

Filtered
33 candidates to 54 candidates (-63.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New441054
Fresh011
Picked101
Done000
Total451156

Merged error: 0.3b

Counts
56 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
3.7b
(* (* (cbrt a2) (/ (cbrt a2) b1)) (/ (cbrt a2) b2))
6.0b
(* a1 (* (* (cbrt a2) (/ (cbrt a2) b1)) (/ (cbrt a2) b2)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
36×add-cbrt-cube
27×prod-exp cbrt-unprod
23×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×pow1 times-frac
15×cbrt-prod
10×cbrt-undiv div-exp
9×associate-*r/ pow-prod-down
4×associate-*l* add-log-exp
2×frac-times pow1/3 associate-*l/ *-commutative
1×div-inv
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
11.0ms
(* (* (cbrt a2) (/ (cbrt a2) b1)) (/ (cbrt a2) b2))
14.0ms
(* a1 (* (* (cbrt a2) (/ (cbrt a2) b1)) (/ (cbrt a2) b2)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt a2)
21.0ms
(cbrt a2)
8.0ms
(* (* (cbrt a2) (/ (cbrt a2) b1)) (/ (cbrt a2) b2))
12.0ms
(* a1 (* (* (cbrt a2) (/ (cbrt a2) b1)) (/ (cbrt a2) b2)))

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04965839
14965839

prune96.0ms

Filtered
61 candidates to 114 candidates (-86.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1113114
Fresh4610
Picked101
Done000
Total1169125

Merged error: 0.0b

Counts
125 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
2.8b
(* a1 (* (cbrt a2) (/ (cbrt a2) b1)))
6.6b
(* (* a1 (* (cbrt a2) (/ (cbrt a2) b1))) (/ (cbrt a2) b2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
23×associate-*r* prod-exp cbrt-unprod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×pow1 times-frac
15×cbrt-prod
9×pow-prod-down
7×cbrt-undiv associate-*r/ div-exp
4×associate-*l* add-log-exp
2×pow1/3 *-commutative
1×frac-times associate-*l/ div-inv
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
7.0ms
(* a1 (* (cbrt a2) (/ (cbrt a2) b1)))
15.0ms
(* (* a1 (* (cbrt a2) (/ (cbrt a2) b1))) (/ (cbrt a2) b2))

series87.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt a2)
22.0ms
(cbrt a2)
28.0ms
(* a1 (* (cbrt a2) (/ (cbrt a2) b1)))
12.0ms
(* (* a1 (* (cbrt a2) (/ (cbrt a2) b1))) (/ (cbrt a2) b2))

simplify52.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05406846

prune107.0ms

Filtered
62 candidates to 108 candidates (-74.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh088
Picked011
Done000
Total10710117

Merged error: 0.0b

Counts
117 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b
(/ (/ a2 b1) b2)
6.0b
(* a1 (/ (/ a2 b1) b2))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 135
Calls
2 calls:
6.0ms
(/ (/ a2 b1) b2)
13.0ms
(* a1 (/ (/ a2 b1) b2))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (/ a2 b1) b2)
7.0ms
(* a1 (/ (/ a2 b1) b2))

simplify73.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050971412

prune106.0ms

Filtered
111 candidates to 141 candidates (-27.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1392141
Fresh358
Picked011
Done011
Total1429151

Merged error: 0.0b

Counts
151 → 9

regimes759.0ms

Accuracy

68.7% (3.3b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 10.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04469
14469

end0.0ms

analyze554.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14

sample496.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid
51.0ms1841×body80invalid

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