Details

Time bar (total: 9.2s)

sample31.0ms

Algorithm
intervals
Results
19.0ms321×body80valid

simplify50.0ms

Counts
1 → 1
Iterations
IterNodes
done79
679
578
471
358
235
116
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize9.0ms

Local error

Found 1 expressions with local error:

9.8b
(/ (* a1 a2) (* b1 b2))

rewrite12.0ms

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 insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
12.0ms
(/ (* a1 a2) (* b1 b2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (* a1 a2) (* b1 b2))

simplify988.0ms

Counts
27 → 27
Iterations
IterNodes
done2006
32006
2915
1166
058

prune285.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

9.5b
(* (/ a1 b1) (/ a2 b2))

rewrite28.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 53
Calls
1 calls:
26.0ms
(* (/ a1 b1) (/ a2 b2))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (/ a1 b1) (/ a2 b2))

simplify857.0ms

Counts
56 → 56
Iterations
IterNodes
done2000
32000
21089
1328
0114

prune447.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
3.4b
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
6.1b
(* (/ (cbrt a1) b1) (/ a2 b2))

rewrite86.0ms

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×*-un-lft-identity add-cube-cbrt
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/ insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 160
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
58.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
23.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

series747.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(cbrt a1)
241.0ms
(cbrt a1)
80.0ms
(* (/ (* (cbrt a1) (cbrt a1)) 1) (* (/ (cbrt a1) b1) (/ a2 b2)))
201.0ms
(* (/ (cbrt a1) b1) (/ a2 b2))

simplify1.0s

Counts
172 → 172
Iterations
IterNodes
done2000
22000
1794
0241

prune1.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

9.8b
(/ (* a1 a2) (* b2 b1))

rewrite18.0ms

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 insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
17.0ms
(/ (* a1 a2) (* b2 b1))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (* a1 a2) (* b2 b1))

simplify698.0ms

Counts
27 → 27
Iterations
IterNodes
done2005
32005
2782
1157
056

prune251.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes622.0ms

Accuracy

52.2% (4.8b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 10.1b

bsearch2.0ms

simplify11.0ms

Iterations
IterNodes
done42
142
032

end0.0ms

sample1.1s

Algorithm
intervals
Results
733.0ms9958×body80valid