Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms263×body80valid

simplify75.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1676
21456
32416
43016
53556
63966
74446
85296
97446
1022186
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)))

rewrite28.0ms

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 expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac distribute-frac-neg clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 32
Calls
1 calls:
23.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify36.0ms

Counts
35 → 35
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0285291
11387232
25001227
done5001227

prune68.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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×expm1-log1p-u distribute-frac-neg log1p-expm1-u 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 → 163
Calls
2 calls:
14.0ms
(/ (- t1) (+ t1 u))
67.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series163.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (- t1) (+ t1 u))
122.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify56.0ms

Counts
169 → 169
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05871153
125841078
250011074
done50011074

prune300.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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 expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u 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 → 78
Calls
2 calls:
24.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
35.0ms
(* (- t1) (/ v (+ t1 u)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
54.0ms
(* (- t1) (/ v (+ t1 u)))

simplify47.0ms

Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0378519
11985450
25002450
done5002450

prune152.0ms

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)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
605×times-frac
428×*-un-lft-identity
309×add-sqr-sqrt
288×add-cube-cbrt
165×associate-*l*
99×distribute-lft-neg-in distribute-rgt-neg-in
70×distribute-lft-out
33×neg-mul-1
31×add-exp-log add-cbrt-cube
25×div-inv
19×associate-/r*
18×associate-*r*
14×associate-/l*
13×cbrt-undiv div-exp
6×prod-exp cbrt-unprod unswap-sqr
5×pow1
4×associate-/r/
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ distribute-frac-neg clear-num flip-+ associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 456
Calls
3 calls:
19.0ms
(/ (+ t1 u) t1)
20.0ms
(/ (- 1) (/ (+ t1 u) t1))
124.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (+ t1 u) t1)
46.0ms
(/ (- 1) (/ (+ t1 u) t1))
126.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify64.0ms

Counts
465 → 465
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014994016
150013563
done50013563

prune841.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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

sample430.0ms

Algorithm
intervals
Results
204.0ms8292×body80valid