Details

Time bar (total: 4.3s)

sample23.0ms

Algorithm
intervals
Results
9.0ms309×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize6.0ms

Local error

Found 1 expressions with local error:

9.0b
(/ (* a1 a2) (* b1 b2))

rewrite15.0ms

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:
15.0ms
(/ (* a1 a2) (* b1 b2))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (* a1 a2) (* b1 b2))

simplify571.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
053269
1152261
2832191
done5000191

prune43.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (* b1 b2) (* a1 a2)))
8.8b
(/ (* b1 b2) (* a1 a2))

rewrite38.0ms

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:
20.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
12.0ms
(/ (* b1 b2) (* a1 a2))

series65.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
30.0ms
(/ (* b1 b2) (* a1 a2))

simplify628.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
01201099
1295964
21244758
done5001758

prune100.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

9.0b
(/ (* a1 a2) (* b1 b2))

rewrite13.0ms

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:
12.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* a1 a2) (* b1 b2))

simplify547.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
053269
1152261
2832191
done5000191

prune38.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

8.8b
(/ (* b1 b2) (* a1 a2))
16.4b
(cbrt (/ (* b1 b2) (* a1 a2)))
16.4b
(cbrt (/ (* b1 b2) (* a1 a2)))
16.4b
(cbrt (/ (* b1 b2) (* a1 a2)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv times-frac div-exp prod-exp cbrt-unprod div-inv add-log-exp
3×cbrt-div pow1/3
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 63
Calls
4 calls:
16.0ms
(/ (* b1 b2) (* a1 a2))
6.0ms
(cbrt (/ (* b1 b2) (* a1 a2)))
6.0ms
(cbrt (/ (* b1 b2) (* a1 a2)))
6.0ms
(cbrt (/ (* b1 b2) (* a1 a2)))

series304.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* b1 b2) (* a1 a2))
91.0ms
(cbrt (/ (* b1 b2) (* a1 a2)))
86.0ms
(cbrt (/ (* b1 b2) (* a1 a2)))
92.0ms
(cbrt (/ (* b1 b2) (* a1 a2)))

simplify554.0ms

Counts
75 → 75
Iterations

Useful iterations: done (552.0ms)

IterNodesCost
099956
1239924
21080788
done5000770

prune208.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes400.0ms

Accuracy

80.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 11.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02779
13379
done3379

end0.0ms

sample573.0ms

Algorithm
intervals
Results
218.0ms9939×body80valid