Details

Time bar (total: 3.9s)

sample34.0ms

Algorithm
intervals
Results
10.0ms324×body80valid

simplify23.0ms

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

localize6.0ms

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
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×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))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (* a1 a2) (* b1 b2))

simplify320.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
053269
1160261
2868191
done5000191

prune254.0ms

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))

rewrite18.0ms

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
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×frac-2neg clear-num add-log-exp
1×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))

series19.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
9.0ms
(/ (* b1 b2) (* a1 a2))

simplify400.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
01201099
1331984
21533758
done5000758

prune64.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81283
Fresh156
Picked101
Done000
Total83790

Merged error: 0.0b

Counts
90 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.6b
(/ 1 (/ (/ (* b1 b2) a1) a2))
3.8b
(/ (* b1 b2) a1)
5.8b
(/ (/ (* b1 b2) a1) a2)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
103×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
51×add-exp-log
31×associate-/r* add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
11×associate-/l*
5×prod-exp
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
3 → 201
Calls
3 calls:
11.0ms
(/ 1 (/ (/ (* b1 b2) a1) a2))
5.0ms
(/ (* b1 b2) a1)
7.0ms
(/ (/ (* b1 b2) a1) a2)

series25.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ 1 (/ (/ (* b1 b2) a1) a2))
5.0ms
(/ (* b1 b2) a1)
9.0ms
(/ (/ (* b1 b2) a1) a2)

simplify516.0ms

Counts
210 → 210
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
03013182
17732841
226872348
done50002348

prune158.0ms

Filtered
116 candidates to 210 candidates (-81.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2073210
Fresh156
Picked101
Done000
Total2098217

Merged error: 0b

Counts
217 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

4.1b
(/ a1 (* b2 b1))
5.7b
(* (/ a1 (* b2 b1)) a2)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
5.0ms
(/ a1 (* b2 b1))
7.0ms
(* (/ a1 (* b2 b1)) a2)

series18.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ a1 (* b2 b1))
13.0ms
(* (/ a1 (* b2 b1)) a2)

simplify386.0ms

Counts
54 → 54
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
082486
1209475
2906387
done5000387

prune42.0ms

Filtered
37 candidates to 54 candidates (-45.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New54054
Fresh077
Picked011
Done000
Total54862

Merged error: 0b

Counts
62 → 8

regimes669.0ms

Accuracy

48.9% (5.7b remaining)

Error of 5.7b against oracle of 0.0b and baseline of 11.1b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03479
14664
done4664

end0.0ms

sample814.0ms

Algorithm
intervals
Results
306.0ms10041×body80valid

Profiling

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