Details

Time bar (total: 37.3s)

sample233.0ms

Algorithm
intervals
Results
22.0ms263×body80valid

simplify8.8s

Counts
1 → 1
Iterations
IterNodes
124599
111092
10536
9373
8319
7285
6269
5223
4188
3122
263
125
08

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
21.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×swap-sqr add-cube-cbrt distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
2×insert-posit16 add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 72
Calls
2 calls:
46.0ms
(* (+ t1 u) (+ t1 u))
36.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* (+ t1 u) (+ t1 u))
126.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify7.2s

Counts
78 → 78
Iterations
IterNodes
314366
21945
1413
0114

prune692.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-cbrt-cube add-exp-log
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×insert-posit16 add-log-exp
2×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 195
Calls
3 calls:
9.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ v (+ t1 u))
44.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series250.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- t1) (+ t1 u))
35.0ms
(/ v (+ t1 u))
159.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify5.6s

Counts
204 → 204
Iterations
IterNodes
37619
21927
1627
0216

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ t1 u))
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 51
Calls
4 calls:
5.0ms
(cbrt (+ t1 u))
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series1.1s

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt (+ t1 u))
281.0ms
(cbrt t1)
355.0ms
(cbrt t1)
272.0ms
(cbrt t1)

simplify884.0ms

Counts
63 → 63
Iterations
IterNodes
42153
3832
2343
1145
071

prune894.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
1.0b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
5.6b
(* (- t1) (/ v (+ t1 u)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 110
Calls
3 calls:
15.0ms
(/ v (+ t1 u))
18.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
18.0ms
(* (- t1) (/ v (+ t1 u)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ v (+ t1 u))
86.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
72.0ms
(* (- t1) (/ v (+ t1 u)))

simplify6.7s

Counts
119 → 119
Iterations
IterNodes
35644
21276
1394
0139

prune953.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
421
321
218
112
08

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8264×body80valid