Details

Time bar (total: 5.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms314×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1167
2377
3647
4757
done757

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize5.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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 add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
4.0ms
(/ (* a1 a2) (* b1 b2))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (* a1 a2) (* b1 b2))

simplify403.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
053269
1160261
2860191
done5001191

prune47.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

5.5b
(* b2 (/ b1 a2))
5.7b
(/ a1 (* b2 (/ b1 a2)))

rewrite17.0ms

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-/l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 56
Calls
2 calls:
8.0ms
(* b2 (/ b1 a2))
5.0ms
(/ a1 (* b2 (/ b1 a2)))

series46.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* b2 (/ b1 a2))
29.0ms
(/ a1 (* b2 (/ b1 a2)))

simplify1.4s

Counts
62 → 62
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
0107561
1261538
2871452
34242452
done5001452

prune127.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
0.6b
(cbrt b1)
1.2b
(* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
5.7b
(/ a1 (* (* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (/ (cbrt b1) (cbrt a2))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log
56×add-cbrt-cube
39×prod-exp cbrt-unprod
31×cbrt-undiv div-exp
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod
5×times-frac associate-*r*
4×associate-*r/ add-log-exp
3×associate-*l* associate-/r/ associate-/l*
2×pow1/3 div-inv unswap-sqr
1×frac-times frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 98
Calls
4 calls:
0.0ms
(cbrt b1)
0.0ms
(cbrt b1)
21.0ms
(* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
79.0ms
(/ a1 (* (* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (/ (cbrt b1) (cbrt a2))))

series475.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt b1)
177.0ms
(cbrt b1)
82.0ms
(* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
30.0ms
(/ a1 (* (* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (/ (cbrt b1) (cbrt a2))))

simplify771.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (234.0ms)

IterNodesCost
02112212
16922124
228801202
done50011202

prune298.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* b1 b2) a2)
5.7b
(/ a1 (/ (* b1 b2) a2))

rewrite10.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
3.0ms
(/ (* b1 b2) a2)
5.0ms
(/ a1 (/ (* b1 b2) a2))

series53.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* b1 b2) a2)
35.0ms
(/ a1 (/ (* b1 b2) a2))

simplify698.0ms

Counts
75 → 75
Iterations

Useful iterations: done (696.0ms)

IterNodesCost
0123824
1292791
21075703
done5000701

prune149.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes277.0ms

Accuracy

30.9% (5.8b remaining)

Error of 5.8b against oracle of 0.0b and baseline of 8.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02859
13453
done3453

end0.0ms

sample470.0ms

Algorithm
intervals
Results
233.0ms10023×body80valid