Details

Time bar (total: 16.3s)

sample126.0ms

Algorithm
intervals
Results
36.0ms263×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2002
122002
111306
10538
9373
8319
7285
6269
5223
4188
3122
263
125
08

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
pow1
add-sqr-sqrt frac-times associate-/r/
swap-sqr add-cube-cbrt distribute-lft-out
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
insert-posit16 add-log-exp
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 → 72
Calls
2 calls:
45.0ms
(* (+ t1 u) (+ t1 u))
36.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (+ t1 u) (+ t1 u))
132.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.4s

Counts
78 → 78
Iterations
IterNodes
done2000
32000
21948
1419
0114

prune685.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
0.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite108.0ms

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*
neg-mul-1
associate-/r* associate-/r/
cbrt-undiv div-exp
pow1
flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
insert-posit16 add-log-exp
clear-num frac-2neg distribute-frac-neg
distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 195
Calls
3 calls:
23.0ms
(/ (- t1) (+ t1 u))
17.0ms
(/ v (+ t1 u))
61.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series267.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ (- t1) (+ t1 u))
47.0ms
(/ v (+ t1 u))
148.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.1s

Counts
204 → 204
Iterations
IterNodes
done2003
22003
1647
0216

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t1 (- (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.8b
(* (/ t1 (- (+ t1 u))) (/ v (+ t1 u)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
100×times-frac
79×add-sqr-sqrt
67×add-cube-cbrt
42×associate-*l*
28×distribute-lft-neg-in distribute-rgt-neg-in
21×distribute-lft-out
19×add-cbrt-cube add-exp-log
18×associate-*r*
16×associate-/r*
associate-/r/
neg-mul-1
cbrt-undiv div-exp associate-/l*
pow1
flip3-+ prod-exp cbrt-unprod flip-+ div-inv distribute-neg-frac unswap-sqr
insert-posit16 add-log-exp
clear-num frac-2neg
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 185
Calls
3 calls:
19.0ms
(/ t1 (- (+ t1 u)))
8.0ms
(/ v (+ t1 u))
52.0ms
(* (/ t1 (- (+ t1 u))) (/ v (+ t1 u)))

series242.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ t1 (- (+ t1 u)))
32.0ms
(/ v (+ t1 u))
157.0ms
(* (/ t1 (- (+ t1 u))) (/ v (+ t1 u)))

simplify846.0ms

Counts
194 → 194
Iterations
IterNodes
done2001
22001
1634
0220

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t1 (- (+ t1 u)))
0.0b
(/ (+ t1 u) v)
0.4b
(/ 1 (/ (+ t1 u) v))
0.8b
(* (/ t1 (- (+ t1 u))) (/ 1 (/ (+ t1 u) v)))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
281×times-frac
232×*-un-lft-identity
183×add-sqr-sqrt
150×add-cube-cbrt
64×add-exp-log
53×associate-*r*
42×associate-*l*
39×distribute-lft-out
34×add-cbrt-cube
31×associate-/r*
30×div-exp
28×distribute-lft-neg-in distribute-rgt-neg-in
14×cbrt-undiv prod-exp
12×div-inv
10×associate-/l* unswap-sqr
pow1 neg-mul-1
rec-exp 1-exp associate-/r/ cbrt-unprod
insert-posit16 distribute-neg-frac add-log-exp
clear-num frac-2neg flip3-+ flip-+
associate-/l/
frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 328
Calls
4 calls:
25.0ms
(/ t1 (- (+ t1 u)))
29.0ms
(/ (+ t1 u) v)
22.0ms
(/ 1 (/ (+ t1 u) v))
93.0ms
(* (/ t1 (- (+ t1 u))) (/ 1 (/ (+ t1 u) v)))

series371.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ t1 (- (+ t1 u)))
22.0ms
(/ (+ t1 u) v)
91.0ms
(/ 1 (/ (+ t1 u) v))
201.0ms
(* (/ t1 (- (+ t1 u))) (/ 1 (/ (+ t1 u) v)))

simplify1.3s

Counts
340 → 340
Iterations
IterNodes
done2005
22005
11113
0367

prune3.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done19
219
118
011

end0.0ms

sample1.1s

Algorithm
intervals
Results
856.0ms8218×body80valid