Details

Time bar (total: 4.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms314×body80valid

simplify22.0ms

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))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (* a1 a2) (* b1 b2))

simplify406.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
053269
1160261
2860191
done5001191

prune43.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
7.0ms
(* b2 (/ b1 a2))
4.0ms
(/ a1 (* b2 (/ b1 a2)))

series47.0ms

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

simplify560.0ms

Counts
62 → 62
Iterations

Useful iterations: done (558.0ms)

IterNodesCost
0107561
1261538
21075452
done5000450

prune128.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize13.0ms

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))))

rewrite103.0ms

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)
1.0ms
(cbrt b1)
20.0ms
(* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
76.0ms
(/ a1 (* (* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (/ (cbrt b1) (cbrt a2))))

series467.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt b1)
174.0ms
(cbrt b1)
82.0ms
(* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
32.0ms
(/ a1 (* (* b2 (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))) (/ (cbrt b1) (cbrt a2))))

simplify803.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (236.0ms)

IterNodesCost
02112212
16922124
230101202
done50001202

prune304.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* b1 b2) a2)
5.7b
(/ a1 (* 1 (/ (* b1 b2) a2)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
21×add-cbrt-cube
13×div-exp
9×prod-exp
8×cbrt-undiv
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
5×cbrt-unprod
4×associate-/r* associate-/l*
3×1-exp
2×pow1 frac-2neg clear-num div-inv add-log-exp
1×associate-*r/ associate-/r/
Counts
2 → 50
Calls
2 calls:
3.0ms
(/ (* b1 b2) a2)
7.0ms
(/ a1 (* 1 (/ (* b1 b2) a2)))

series56.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* b1 b2) a2)
37.0ms
(/ a1 (* 1 (/ (* b1 b2) a2)))

simplify552.0ms

Counts
56 → 56
Iterations

Useful iterations: done (551.0ms)

IterNodesCost
0108613
1290514
21108410
done5001408

prune92.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes374.0ms

Accuracy

61.4% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 8.3b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: done (6.0ms)

IterNodesCost
031127
139114
24289
34589
done4588

end0.0ms

sample482.0ms

Algorithm
intervals
Results
237.0ms10023×body80valid