Details

Time bar (total: 20.4s)

sample122.0ms

Algorithm
intervals
Results
10.0ms264×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0812
12512
26512
313212
423512
535012
640512
742912
846912
954812
10123012
done500012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 70
Calls
2 calls:
67.0ms
(* (+ t1 u) (+ t1 u))
28.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (+ t1 u) (+ t1 u))
159.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.2s

Counts
76 → 76
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01131078
1428994
23243834
done5002831

prune268.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
0.9b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite139.0ms

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-exp-log add-cbrt-cube
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×add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 192
Calls
3 calls:
19.0ms
(/ (- t1) (+ t1 u))
14.0ms
(/ v (+ t1 u))
95.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series269.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ (- t1) (+ t1 u))
36.0ms
(/ v (+ t1 u))
167.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.4s

Counts
201 → 201
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02132501
16462395
236702241
done50002231

prune802.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
8.9b
(cbrt (/ (- t1) (+ t1 u)))
8.9b
(cbrt (/ (- t1) (+ t1 u)))
8.9b
(cbrt (/ (- t1) (+ t1 u)))

rewrite716.0ms

Algorithm
rewrite-expression-head
Rules
147×*-un-lft-identity
138×cbrt-prod
132×times-frac
81×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
33×distribute-lft-out
27×cbrt-div
25×add-exp-log
18×associate-*r*
17×frac-times associate-*l/ add-cbrt-cube
13×pow1
12×neg-mul-1 prod-exp cbrt-unprod
8×associate-/r/
7×associate-*r/
6×pow-prod-down
4×flip3-+ flip-+ div-inv add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative
Counts
4 → 222
Calls
4 calls:
665.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
13.0ms
(cbrt (/ (- t1) (+ t1 u)))
9.0ms
(cbrt (/ (- t1) (+ t1 u)))
9.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.2s

Counts
4 → 12
Calls
4 calls:
250.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
281.0ms
(cbrt (/ (- t1) (+ t1 u)))
310.0ms
(cbrt (/ (- t1) (+ t1 u)))
312.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify1.6s

Counts
234 → 234
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02564524
16224310
225923446
done50003267

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))) (cbrt (/ (cbrt (- t1)) (cbrt (+ t1 u)))))) (/ v (+ t1 u)))
2.4b
(cbrt (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
8.9b
(cbrt (/ (- t1) (+ t1 u)))
8.9b
(cbrt (/ (- t1) (+ t1 u)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
105×cbrt-prod *-un-lft-identity
93×times-frac
79×cbrt-div
59×add-sqr-sqrt add-cube-cbrt
53×frac-times
45×add-exp-log
39×associate-*l/
29×add-cbrt-cube
26×prod-exp cbrt-unprod
25×associate-*r/
24×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
22×pow1
18×associate-*r*
14×associate-/r/
13×pow-prod-down
9×flip3-+ flip-+
8×neg-mul-1
5×cbrt-undiv div-exp
4×div-inv add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 215
Calls
4 calls:
1.0s
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))) (cbrt (/ (cbrt (- t1)) (cbrt (+ t1 u)))))) (/ v (+ t1 u)))
33.0ms
(cbrt (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
11.0ms
(cbrt (/ (- t1) (+ t1 u)))
9.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.8s

Counts
4 → 12
Calls
4 calls:
239.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))) (cbrt (/ (cbrt (- t1)) (cbrt (+ t1 u)))))) (/ v (+ t1 u)))
945.0ms
(cbrt (/ (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
305.0ms
(cbrt (/ (- t1) (+ t1 u)))
289.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify2.0s

Counts
227 → 227
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03797213
110507000
243116105
done50006050

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (1.3b 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
0812
11212
21612
31912
42112
done2112

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s8243×body80valid