Details

Time bar (total: 11.5s)

sample47.0ms

Algorithm
intervals
Results
18.0ms327×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize7.0ms

Local error

Found 1 expressions with local error:

11.5b
(/ (* 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 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:
23.0ms
(/ (* a1 a2) (* b1 b2))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ (* a1 a2) (* b1 b2))

simplify863.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
055285
1154277
2836207
done5000207

prune51.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

7.8b
(* (/ a1 b1) (/ a2 b2))

rewrite34.0ms

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:
30.0ms
(* (/ a1 b1) (/ a2 b2))

series46.0ms

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

simplify3.5s

Counts
55 → 55
Iterations

Useful iterations: 2 (227.0ms)

IterNodesCost
0112581
1309559
21074487
34549487
done5000487

prune195.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

3.7b
(* a1 (/ a2 b2))
5.2b
(/ (* a1 (/ a2 b2)) b1)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/r*
2×expm1-log1p-u associate-*r/ 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:
27.0ms
(* a1 (/ a2 b2))
27.0ms
(/ (* a1 (/ a2 b2)) b1)

series93.0ms

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

simplify2.8s

Counts
66 → 66
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
0110588
1265561
2879475
34290475
done5000475

prune200.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

4.4b
(/ (/ a2 b2) b1)
6.0b
(* a1 (/ (/ a2 b2) b1))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 139
Calls
2 calls:
23.0ms
(/ (/ a2 b2) b1)
61.0ms
(* a1 (/ (/ a2 b2) b1))

series74.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (/ a2 b2) b1)
46.0ms
(* a1 (/ (/ a2 b2) b1))

simplify1.3s

Counts
145 → 145
Iterations

Useful iterations: 2 (342.0ms)

IterNodesCost
02241653
15291540
214461440
done50001440

prune456.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes561.0ms

Accuracy

64.6% (3.9b remaining)

Error of 3.9b against oracle of 0.0b and baseline of 10.9b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03288
14088
done4088

end0.0ms

sample935.0ms

Algorithm
intervals
Results
366.0ms10006×body80valid