Details

Time bar (total: 13.5s)

sample37.0ms

Algorithm
intervals
Results
14.0ms306×body80valid

simplify84.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize13.0ms

Local error

Found 1 expressions with local error:

13.4b
(/ (* a1 a2) (* b1 b2))

rewrite25.0ms

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:
24.0ms
(/ (* a1 a2) (* b1 b2))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (* a1 a2) (* b1 b2))

simplify908.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
053269
1152261
2832191
done5000191

prune48.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

10.4b
(* (/ a1 b1) (/ a2 b2))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
50.0ms
(* (/ a1 b1) (/ a2 b2))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (/ a1 b1) (/ a2 b2))

simplify3.5s

Counts
53 → 53
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
0110565
1307543
21075471
34540471
done5001471

prune230.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

4.3b
(* (/ a1 b1) a2)
6.6b
(* (* (/ a1 b1) a2) (/ 1 b2))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×associate-*l*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×pow-prod-down associate-*l/
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×frac-times associate-*r/ un-div-inv
Counts
2 → 78
Calls
2 calls:
30.0ms
(* (/ a1 b1) a2)
80.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

series93.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (/ a1 b1) a2)
57.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

simplify2.4s

Counts
84 → 84
Iterations

Useful iterations: 2 (336.0ms)

IterNodesCost
0144895
1361757
21238601
done5000601

prune276.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
4.9b
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
6.6b
(* (/ (cbrt a1) b1) (/ a2 b2))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
126×add-exp-log
67×add-cbrt-cube
59×prod-exp
47×add-sqr-sqrt
44×div-exp
37×times-frac
36×cbrt-unprod
29×associate-*l*
28×add-cube-cbrt *-un-lft-identity
26×cbrt-undiv
17×cbrt-prod
14×associate-*r*
11×pow1
10×1-exp
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
99.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
41.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

series947.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(cbrt a1)
345.0ms
(cbrt a1)
81.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
213.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

simplify2.4s

Counts
160 → 160
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02322470
16252165
223331526
done50001304

prune397.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes638.0ms

Accuracy

79.1% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 11.2b

bsearch3.0ms

simplify10.0ms

Iterations

Useful iterations: done (10.0ms)

IterNodesCost
02475
13169
23463
33763
done3762

end0.0ms

sample1.1s

Algorithm
intervals
Results
462.0ms10032×body80valid