Details

Time bar (total: 23.5s)

sample108.0ms

Algorithm
intervals
Results
20.0ms264×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
08203
125203
263203
3122203
4188203
5223203
6269203
7285203
8319203
9373203
10538203
111306203
123812203
done5026203

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
20.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite79.0ms

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×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 → 70
Calls
2 calls:
41.0ms
(* (+ t1 u) (+ t1 u))
32.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
152.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.0s

Counts
76 → 76
Iterations

Useful iterations: done (2.0s)

IterNodesCost
011220883
141615630
2196014790
done512814750

prune343.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
0.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite128.0ms

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×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 → 192
Calls
3 calls:
15.0ms
(/ v (+ t1 u))
22.0ms
(/ (- t1) (+ t1 u))
82.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series268.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ v (+ t1 u))
80.0ms
(/ (- t1) (+ t1 u))
152.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.5s

Counts
201 → 201
Iterations

Useful iterations: 2 (818.0ms)

IterNodesCost
021351416
164447892
2238146969
done500146969

prune908.0ms

Pruning

5 alts after pruning (5 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))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
9×distribute-lft-neg-in distribute-rgt-neg-in
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
3×neg-mul-1
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 68
Calls
4 calls:
7.0ms
(cbrt (+ t1 u))
10.0ms
(cbrt (- t1))
2.0ms
(cbrt (- t1))
3.0ms
(cbrt (- t1))

series1.1s

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt (+ t1 u))
299.0ms
(cbrt (- t1))
288.0ms
(cbrt (- t1))
273.0ms
(cbrt (- t1))

simplify2.6s

Counts
80 → 80
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
08721388
116818679
239318679
396417999
4279417882
done504017882

prune552.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* (/ (cbrt (- t1)) (cbrt (+ t1 u))) (/ (cbrt (- t1)) (cbrt (+ t1 u)))) (/ (cbrt (- t1)) (cbrt (+ t1 u)))) (/ v (+ t1 u)))
0.6b
(cbrt (- t1))
0.6b
(cbrt (- t1))
0.6b
(cbrt (- t1))

rewrite611.0ms

Algorithm
rewrite-expression-head
Rules
121×add-exp-log
69×add-cbrt-cube
58×prod-exp cbrt-unprod
37×cbrt-undiv div-exp
30×cbrt-prod
27×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
18×associate-*r*
17×frac-times associate-*l/
13×pow1
12×times-frac
9×distribute-lft-neg-in distribute-rgt-neg-in
7×associate-*r/
6×pow-prod-down
4×add-log-exp
3×neg-mul-1 pow1/3 distribute-lft-out
2×associate-/r/
1×flip3-+ associate-*l* *-commutative flip-+ div-inv
Counts
4 → 143
Calls
4 calls:
597.0ms
(* (* (* (/ (cbrt (- t1)) (cbrt (+ t1 u))) (/ (cbrt (- t1)) (cbrt (+ t1 u)))) (/ (cbrt (- t1)) (cbrt (+ t1 u)))) (/ v (+ t1 u)))
2.0ms
(cbrt (- t1))
3.0ms
(cbrt (- t1))
3.0ms
(cbrt (- t1))

series1.2s

Counts
4 → 12
Calls
4 calls:
267.0ms
(* (* (* (/ (cbrt (- t1)) (cbrt (+ t1 u))) (/ (cbrt (- t1)) (cbrt (+ t1 u)))) (/ (cbrt (- t1)) (cbrt (+ t1 u)))) (/ v (+ t1 u)))
300.0ms
(cbrt (- t1))
315.0ms
(cbrt (- t1))
330.0ms
(cbrt (- t1))

simplify4.7s

Counts
155 → 155
Iterations

Useful iterations: done (4.7s)

IterNodesCost
021168393
164861149
2232859587
done500140427

prune760.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
013483
116483
done16483

end0.0ms

sample844.0ms

Algorithm
intervals
Results
578.0ms8245×body80valid