Details

Time bar (total: 15.2s)

sample74.0ms

Algorithm
intervals
Results
12.0ms266×body80valid

simplify986.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite81.0ms

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:
42.0ms
(* (+ t1 u) (+ t1 u))
35.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (+ t1 u) (+ t1 u))
139.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.2s

Counts
76 → 76
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01131078
1428994
23243834
done5002831

prune160.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.2b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite153.0ms

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:
15.0ms
(/ (- t1) (+ t1 u))
11.0ms
(/ v (+ t1 u))
115.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series292.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (- t1) (+ t1 u))
28.0ms
(/ v (+ t1 u))
203.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.3s

Counts
201 → 201
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02132501
16462395
236702241
done50002231

prune631.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.3b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.5b
(* (- t1) (/ v (+ t1 u)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-exp-log add-cbrt-cube
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-+ div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*r/ clear-num unswap-sqr
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
23.0ms
(/ v (+ t1 u))
52.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
34.0ms
(* (- t1) (/ v (+ t1 u)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ v (+ t1 u))
97.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
80.0ms
(* (- t1) (/ v (+ t1 u)))

simplify1.5s

Counts
116 → 116
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01361312
14061244
226621104
done50011090

prune340.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
8.5b
(cbrt (/ (- t1) (+ t1 u)))
8.5b
(cbrt (/ (- t1) (+ t1 u)))
8.5b
(cbrt (/ (- t1) (+ t1 u)))

rewrite789.0ms

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:
729.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
16.0ms
(cbrt (/ (- t1) (+ t1 u)))
16.0ms
(cbrt (/ (- t1) (+ t1 u)))
16.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.1s

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
326.0ms
(cbrt (/ (- t1) (+ t1 u)))
261.0ms
(cbrt (/ (- t1) (+ t1 u)))
264.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify1.7s

Counts
234 → 234
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02564524
16224310
225923446
done50003267

prune769.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11212
21812
32112
done2112

end0.0ms

sample1.3s

Algorithm
intervals
Results
924.0ms8245×body80valid