Details

Time bar (total: 7.9s)

sample29.0ms

Algorithm
intervals
Results
11.0ms319×body80valid

simplify34.0ms

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: 11.7b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:
22.0ms
(/ (* a1 a2) (* b1 b2))

series46.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.1s

Counts
26 → 26
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
055285
1159277
2920207
done5000207

prune56.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (* b1 b2) a2)
6.5b
(/ a1 (/ (* b1 b2) a2))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
10.0ms
(/ (* b1 b2) a2)
17.0ms
(/ a1 (/ (* b1 b2) a2))

series86.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* b1 b2) a2)
58.0ms
(/ a1 (/ (* b1 b2) a2))

simplify755.0ms

Counts
79 → 79
Iterations

Useful iterations: done (748.0ms)

IterNodesCost
0127852
1330823
21658741
done5000731

prune208.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
4.5b
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
5.4b
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* (cbrt a1) a2))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
40×add-cbrt-cube
27×prod-exp cbrt-unprod
12×cbrt-undiv div-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×times-frac pow1/3 div-inv
1×frac-2neg associate-*r* associate-*l/ clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 88
Calls
4 calls:
2.0ms
(cbrt a1)
2.0ms
(cbrt a1)
24.0ms
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
58.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* (cbrt a1) a2))

series761.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt a1)
260.0ms
(cbrt a1)
141.0ms
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
73.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* (cbrt a1) a2))

simplify1.7s

Counts
100 → 100
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01241300
13971252
22620854
done5000660

prune275.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ a1 (* b1 b2))
6.1b
(* (/ a1 (* b1 b2)) a2)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
11.0ms
(/ a1 (* b1 b2))
33.0ms
(* (/ a1 (* b1 b2)) a2)

series73.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ a1 (* b1 b2))
36.0ms
(* (/ a1 (* b1 b2)) a2)

simplify850.0ms

Counts
58 → 58
Iterations

Useful iterations: done (847.0ms)

IterNodesCost
084514
1209503
21203421
done5000415

prune170.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes466.0ms

Accuracy

51.2% (5.3b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 10.9b

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03067
13865
23965
done3965

end0.0ms

sample1.1s

Algorithm
intervals
Results
483.0ms10029×body80valid