Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms263×body80valid

simplify72.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1656
21326
32086
42506
52876
63076
73476
84206
95736
1018836
1150016
done50016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.6b

localize7.0ms

Local error

Found 1 expressions with local error:

19.3b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite23.0ms

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:
22.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify35.0ms

Counts
33 → 33
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0282277
11363218
25001213
done5001213

prune63.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

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:
15.0ms
(/ (- t1) (+ t1 u))
67.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- t1) (+ t1 u))
118.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify57.0ms

Counts
165 → 165
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05801131
125581057
250011053
done50011053

prune297.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
8.1b
(* (- t1) (/ v (+ t1 u)))

rewrite61.0ms

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:
24.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
34.0ms
(* (- t1) (/ v (+ t1 u)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
52.0ms
(* (- t1) (/ v (+ t1 u)))

simplify44.0ms

Counts
80 → 80
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0373495
11967426
25002426
done5002426

prune142.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) (- t1))
0.2b
(/ 1 (/ (+ t1 u) (- t1)))
1.2b
(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
613×times-frac
460×*-un-lft-identity
321×add-sqr-sqrt
288×add-cube-cbrt
137×associate-*l*
99×distribute-lft-neg-in distribute-rgt-neg-in
84×distribute-lft-out
61×add-exp-log
54×associate-/r*
33×neg-mul-1
31×add-cbrt-cube
29×div-exp
18×associate-*r*
14×prod-exp
13×cbrt-undiv
11×div-inv
10×unswap-sqr
7×associate-/l*
6×pow1 rec-exp 1-exp cbrt-unprod
4×associate-/r/
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 465
Calls
3 calls:
20.0ms
(/ (+ t1 u) (- t1))
23.0ms
(/ 1 (/ (+ t1 u) (- t1)))
120.0ms
(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (+ t1 u) (- t1))
45.0ms
(/ 1 (/ (+ t1 u) (- t1)))
122.0ms
(* (/ 1 (/ (+ t1 u) (- t1))) (/ v (+ t1 u)))

simplify66.0ms

Counts
474 → 474
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013784034
150013569
done50013569

prune834.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1186
2216
3216
done216

end0.0ms

sample435.0ms

Algorithm
intervals
Results
202.0ms8292×body80valid