Details

Time bar (total: 14.5s)

sample39.0ms

Algorithm
intervals
Results
18.0ms306×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune2.0ms

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))

rewrite29.0ms

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:
28.0ms
(/ (* a1 a2) (* b1 b2))

series40.0ms

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

simplify1.0s

Counts
26 → 26
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
055285
1154277
2836207
done5000207

prune69.0ms

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))

rewrite67.0ms

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:
62.0ms
(* (/ a1 b1) (/ a2 b2))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* (/ a1 b1) (/ a2 b2))

simplify4.2s

Counts
55 → 55
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
0112581
1309559
21074487
34549487
done5000487

prune195.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

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:
30.0ms
(* (/ a1 b1) a2)
64.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

series95.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (/ a1 b1) a2)
56.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

simplify2.9s

Counts
88 → 88
Iterations

Useful iterations: 2 (391.0ms)

IterNodesCost
0148927
1365785
21238629
done5000629

prune243.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize14.0ms

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))

rewrite128.0ms

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×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 156
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
86.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
33.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

series876.0ms

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt a1)
252.0ms
(cbrt a1)
95.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
234.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

simplify2.3s

Counts
168 → 168
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02382534
16312225
223571578
done50011350

prune526.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes643.0ms

Accuracy

79.1% (2.3b remaining)

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

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: done (11.0ms)

IterNodesCost
02475
13169
23463
33763
done3762

end0.0ms

sample950.0ms

Algorithm
intervals
Results
515.0ms10032×body80valid