Details

Time bar (total: 8.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms261×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0812
12512
26312
311512
417112
521012
624512
726112
830112
935712
1046012
11136412
done500012

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize7.0ms

Local error

Found 1 expressions with local error:

17.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×associate-/r/
6×flip3-+ flip-+
4×cbrt-undiv frac-times div-exp prod-exp cbrt-unprod
2×associate-*r/ associate-*l/
1×pow1 distribute-lft-neg-out add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac distribute-frac-neg clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 30
Calls
1 calls:
10.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify854.0ms

Counts
33 → 33
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
076562
1275537
21198427
done5000427

prune67.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.4b
(* (- t1) (/ v (+ t1 u)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
20×add-sqr-sqrt
18×associate-*r*
17×times-frac
16×add-exp-log add-cbrt-cube
15×add-cube-cbrt
10×associate-*l*
5×cbrt-undiv div-exp distribute-lft-out
4×pow1 prod-exp associate-/r* associate-/r/ cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-lft-neg-out flip3-+ associate-*r/ flip-+ div-inv add-log-exp unswap-sqr
1×neg-mul-1 frac-2neg distribute-frac-neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 74
Calls
2 calls:
14.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
18.0ms
(* (- t1) (/ v (+ t1 u)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
48.0ms
(* (- t1) (/ v (+ t1 u)))

simplify909.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (250.0ms)

IterNodesCost
0122988
1373929
21640803
done5000803

prune151.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.8b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
7.4b
(* (- t1) (/ v (+ t1 u)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log *-un-lft-identity
37×times-frac
36×add-sqr-sqrt associate-*r*
31×add-cube-cbrt add-cbrt-cube
22×prod-exp
13×div-exp
12×cbrt-unprod
11×pow1 associate-*l*
10×distribute-lft-out
7×cbrt-undiv
6×associate-/r/
4×rec-exp 1-exp associate-*r/ pow-prod-down associate-/r*
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in flip3-+ flip-+ div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times neg-mul-1 pow-flip frac-2neg associate-*l/ clear-num un-div-inv inv-pow
Counts
3 → 134
Calls
3 calls:
6.0ms
(/ 1 (+ t1 u))
32.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
18.0ms
(* (- t1) (/ v (+ t1 u)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (+ t1 u))
72.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
48.0ms
(* (- t1) (/ v (+ t1 u)))

simplify1.1s

Counts
143 → 143
Iterations

Useful iterations: 2 (412.0ms)

IterNodesCost
01721824
15341587
220951321
done50011321

prune249.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
1.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
107×*-un-lft-identity
96×times-frac
71×add-sqr-sqrt
59×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
24×distribute-lft-out
18×associate-*r*
16×add-exp-log add-cbrt-cube
10×associate-/l*
9×neg-mul-1
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 prod-exp associate-/r* cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv
2×distribute-frac-neg add-log-exp
1×distribute-lft-neg-out neg-sub0 frac-times frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 159
Calls
2 calls:
7.0ms
(/ (- t1) (+ t1 u))
47.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series304.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- t1) (+ t1 u))
265.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify920.0ms

Counts
165 → 165
Iterations

Useful iterations: 2 (320.0ms)

IterNodesCost
01992177
15802078
219201944
done50001944

prune291.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11714
22414
33014
43214
done3214

end0.0ms

sample389.0ms

Algorithm
intervals
Results
217.0ms8269×body80valid