Details

Time bar (total: 12.4s)

sample23.0ms

Algorithm
intervals
Results
10.0ms320×body80valid

simplify47.0ms

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: 10.6b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:
14.0ms
(/ (* a1 a2) (* b1 b2))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (* a1 a2) (* b1 b2))

simplify903.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
055285
1154277
2836207
done5000207

prune63.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

9.7b
(* (/ a1 b1) (/ a2 b2))

rewrite48.0ms

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×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
43.0ms
(* (/ a1 b1) (/ a2 b2))

series58.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* (/ a1 b1) (/ a2 b2))

simplify4.0s

Counts
55 → 55
Iterations

Useful iterations: 2 (246.0ms)

IterNodesCost
0112581
1309559
21074487
34549487
done5000487

prune210.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

4.0b
(* (/ a1 b1) a2)
5.5b
(* (* (/ a1 b1) a2) (/ 1 b2))

rewrite76.0ms

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×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times associate-*r/ un-div-inv
Counts
2 → 82
Calls
2 calls:
15.0ms
(* (/ a1 b1) a2)
57.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

series92.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (/ a1 b1) a2)
43.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

simplify2.8s

Counts
88 → 88
Iterations

Useful iterations: 2 (296.0ms)

IterNodesCost
0148927
1365785
21238629
done5000629

prune235.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

4.0b
(* (/ a1 b1) a2)
5.5b
(/ (* (/ a1 b1) a2) b2)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*r* associate-/r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 60
Calls
2 calls:
15.0ms
(* (/ a1 b1) a2)
28.0ms
(/ (* (/ a1 b1) a2) b2)

series91.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (/ a1 b1) a2)
55.0ms
(/ (* (/ a1 b1) a2) b2)

simplify2.0s

Counts
66 → 66
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
0109570
1251555
2970467
done5000467

prune173.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes421.0ms

Accuracy

54.2% (5.1b remaining)

Error of 5.1b against oracle of 0.0b and baseline of 11.1b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02759
12959
done2959

end0.0ms

sample1.0s

Algorithm
intervals
Results
514.0ms10088×body80valid