Details

Time bar (total: 6.5s)

sample18.0ms

Algorithm
intervals
Results
7.0ms311×body80valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1167
2377
3647
4757
done757

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize5.0ms

Local error

Found 1 expressions with local error:

10.3b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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 expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
4.0ms
(/ (* a1 a2) (* b1 b2))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (* a1 a2) (* b1 b2))

simplify790.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
055285
1162277
2862207
done5000207

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

4.4b
(/ (* a1 a2) b1)
5.5b
(/ (/ (* a1 a2) b1) b2)

rewrite11.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
3.0ms
(/ (* a1 a2) b1)
6.0ms
(/ (/ (* a1 a2) b1) b2)

series47.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a1 a2) b1)
28.0ms
(/ (/ (* a1 a2) b1) b2)

simplify1.3s

Counts
79 → 79
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
0127843
1302808
21008720
done5000720

prune149.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

4.6b
(/ a1 (/ b1 a2))
5.5b
(/ (/ a1 (/ b1 a2)) b2)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×associate-/l*
22×div-inv
16×add-exp-log associate-/r* add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 270
Calls
2 calls:
4.0ms
(/ a1 (/ b1 a2))
17.0ms
(/ (/ a1 (/ b1 a2)) b2)

series48.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ a1 (/ b1 a2))
27.0ms
(/ (/ a1 (/ b1 a2)) b2)

simplify1.2s

Counts
276 → 276
Iterations

Useful iterations: 2 (733.0ms)

IterNodesCost
04694374
111194057
238603935
done50003935

prune747.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

4.4b
(/ b2 (* a1 a2))
6.5b
(/ (/ 1 b1) (/ b2 (* a1 a2)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
208×times-frac
88×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
28×div-exp add-cbrt-cube
24×div-inv
16×associate-/l*
15×cbrt-undiv
8×associate-/r*
5×prod-exp
3×rec-exp 1-exp cbrt-unprod
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 166
Calls
2 calls:
3.0ms
(/ b2 (* a1 a2))
12.0ms
(/ (/ 1 b1) (/ b2 (* a1 a2)))

series53.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ b2 (* a1 a2))
33.0ms
(/ (/ 1 b1) (/ b2 (* a1 a2)))

simplify900.0ms

Counts
172 → 172
Iterations

Useful iterations: done (896.0ms)

IterNodesCost
02962829
18582510
221332184
done50002170

prune227.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes341.0ms

Accuracy

63.1% (4.4b remaining)

Error of 4.4b against oracle of 0.0b and baseline of 12.0b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: done (5.0ms)

IterNodesCost
02677
13371
23665
33965
done3964

end0.0ms

sample475.0ms

Algorithm
intervals
Results
237.0ms9987×body80valid