Details

Time bar (total: 7.6s)

sample54.0ms

Algorithm
intervals
Results
22.0ms315×body80valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize16.0ms

Local error

Found 1 expressions with local error:

11.4b
(/ (* a1 a2) (* b1 b2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
20.0ms
(/ (* a1 a2) (* b1 b2))

series46.0ms

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

simplify1.3s

Counts
26 → 26
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
057285
1168277
21084207
done5000207

prune140.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

9.6b
(* (/ a1 b1) (/ a2 b2))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l* add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
42.0ms
(* (/ a1 b1) (/ a2 b2))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (/ a1 b1) (/ a2 b2))

simplify1.3s

Counts
55 → 55
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0113581
1331563
21726495
done5000487

prune291.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

4.8b
(* a1 (/ a2 b2))
5.0b
(/ (* a1 (/ a2 b2)) b1)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-/r* associate-*l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 60
Calls
2 calls:
17.0ms
(* a1 (/ a2 b2))
17.0ms
(/ (* a1 (/ a2 b2)) b1)

series81.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* a1 (/ a2 b2))
40.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify817.0ms

Counts
66 → 66
Iterations

Useful iterations: done (815.0ms)

IterNodesCost
0111588
1287565
21325489
done5000487

prune302.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

5.0b
(/ (/ (* a1 a2) b2) b1)
5.7b
(/ (* a1 a2) b2)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
20.0ms
(/ (/ (* a1 a2) b2) b1)
16.0ms
(/ (* a1 a2) b2)

series67.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (/ (* a1 a2) b2) b1)
23.0ms
(/ (* a1 a2) b2)

simplify663.0ms

Counts
79 → 79
Iterations

Useful iterations: done (660.0ms)

IterNodesCost
0127843
1320808
21767736
done5002732

prune330.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes832.0ms

Accuracy

72.5% (3.1b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 11.4b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02677
13175
23275
done3275

end0.0ms

sample1.1s

Algorithm
intervals
Results
484.0ms10024×body80valid