Details

Time bar (total: 6.6s)

sample27.0ms

Algorithm
intervals
Results
9.0ms324×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1167
2377
3647
4757
done757

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

8.5b
(/ (* a1 a2) (* b1 b2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
6.0ms
(/ (* a1 a2) (* b1 b2))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (* a1 a2) (* b1 b2))

simplify936.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
053269
1160261
2860191
done5000191

prune47.0ms

Filtered
13 candidates to 24 candidates (-84.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New17724
Fresh000
Picked101
Done000
Total18725

Merged error: 0.3b

Counts
25 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (* b1 b2) (* a1 a2)))
8.3b
(/ (* b1 b2) (* a1 a2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
32×add-cbrt-cube
26×div-exp
20×times-frac
16×prod-exp
13×cbrt-undiv
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-unprod
associate-/r* div-inv
rec-exp 1-exp
associate-/l*
pow1
frac-2neg clear-num add-log-exp
pow-flip associate-/r/ inv-pow
Counts
2 → 77
Calls
2 calls:
8.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
6.0ms
(/ (* b1 b2) (* a1 a2))

series17.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
8.0ms
(/ (* b1 b2) (* a1 a2))

simplify781.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
01201099
1323964
21317758
done5000758

prune71.0ms

Filtered
34 candidates to 83 candidates (-144.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New80383
Fresh156
Picked101
Done000
Total82890

Merged error: 0.0b

Counts
90 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

3.8b
(/ (* b1 b2) a1)
5.9b
(/ a2 (/ (* b1 b2) a1))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
cbrt-undiv div-exp
div-inv
associate-/l*
pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
associate-/r/
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ (* b1 b2) a1)
6.0ms
(/ a2 (/ (* b1 b2) a1))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (* b1 b2) a1)
9.0ms
(/ a2 (/ (* b1 b2) a1))

simplify1.8s

Counts
75 → 75
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0123824
1294791
21033703
done5001697

prune89.0ms

Filtered
56 candidates to 75 candidates (-33.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New72375
Fresh257
Picked101
Done000
Total75883

Merged error: 0b

Counts
83 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

8.5b
(/ (* a1 a2) (* b1 b2))
15.5b
(cbrt (/ (* a1 a2) (* b1 b2)))
15.5b
(cbrt (/ (* a1 a2) (* b1 b2)))
15.5b
(cbrt (/ (* a1 a2) (* b1 b2)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 cbrt-undiv times-frac div-exp prod-exp cbrt-unprod div-inv add-log-exp
cbrt-div pow1/3
frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 63
Calls
4 calls:
7.0ms
(/ (* a1 a2) (* b1 b2))
7.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))
4.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))
4.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (* a1 a2) (* b1 b2))
25.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))
25.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))
25.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))

simplify936.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
0104983
1261948
21158794
done5000794

prune81.0ms

Filtered
61 candidates to 75 candidates (-23.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh077
Picked011
Done000
Total75883

Merged error: 0b

Counts
83 → 8

regimes759.0ms

Accuracy

66.4% (4.0b remaining)

Error of 4.0b against oracle of 0.0b and baseline of 11.8b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033115
141115
done41115

end0.0ms

sample759.0ms

Algorithm
intervals
Results
290.0ms10041×body80valid

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