Details

Time bar (total: 16.9s)

sample130.0ms

Algorithm
intervals
Results
92.0ms225×body10240exit
10.0ms210×body80valid
4.0ms15×body640valid
4.0ms24×body320valid
1.0ms10×body160valid

simplify432.0ms

Counts
1 → 1
Iterations

Useful iterations: done (432.0ms)

IterNodesCost
0816
12015
24815
310915
439815
done500014

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (exp wj))
0.0b
(/ (- (/ wj 1) (/ x (exp wj))) (+ wj 1))
3.3b
(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ wj 1)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
99×times-frac
94×*-un-lft-identity
32×difference-of-squares
28×add-cube-cbrt
14×associate-/l*
12×distribute-lft-out
11×distribute-lft-out--
7×associate-/r* add-cbrt-cube
6×add-exp-log
5×add-log-exp
3×pow1 associate-/l/
2×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp associate-/r/ div-inv flip--
1×sub-neg flip3-+ diff-log frac-sub flip-+ associate--r-
Counts
3 → 120
Calls
3 calls:
5.0ms
(/ x (exp wj))
99.0ms
(/ (- (/ wj 1) (/ x (exp wj))) (+ wj 1))
103.0ms
(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ wj 1)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ x (exp wj))
56.0ms
(/ (- (/ wj 1) (/ x (exp wj))) (+ wj 1))
53.0ms
(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ wj 1)))

simplify1.2s

Counts
129 → 129
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02212443
15392027
220921969
done50011967

prune548.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (pow wj 2) x)
0.0b
(* 2 (* x wj))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ distribute-lft-out
Counts
2 → 30
Calls
2 calls:
10.0ms
(+ (pow wj 2) x)
14.0ms
(* 2 (* x wj))

series56.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (pow wj 2) x)
33.0ms
(* 2 (* x wj))

simplify3.1s

Counts
36 → 36
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
058283
1155257
2695229
34940227
done5000227

prune164.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (pow wj 2) x))
0.5b
(cbrt (+ (pow wj 2) x))
0.5b
(cbrt (+ (pow wj 2) x))
0.5b
(* (cbrt (+ (pow wj 2) x)) (cbrt (+ (pow wj 2) x)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
7.0ms
(cbrt (+ (pow wj 2) x))
9.0ms
(cbrt (+ (pow wj 2) x))
16.0ms
(cbrt (+ (pow wj 2) x))
120.0ms
(* (cbrt (+ (pow wj 2) x)) (cbrt (+ (pow wj 2) x)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (+ (pow wj 2) x))
148.0ms
(cbrt (+ (pow wj 2) x))
113.0ms
(cbrt (+ (pow wj 2) x))
125.0ms
(* (cbrt (+ (pow wj 2) x)) (cbrt (+ (pow wj 2) x)))

simplify944.0ms

Counts
107 → 107
Iterations

Useful iterations: done (940.0ms)

IterNodesCost
0971626
12231438
29221352
done50011283

prune639.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(* (+ wj 1) (exp wj))
0.3b
(/ (- (* wj (exp wj)) (* 1 x)) (* (+ wj 1) (exp wj)))
3.3b
(- wj (/ (- (* wj (exp wj)) (* 1 x)) (* (+ wj 1) (exp wj))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
13×add-cbrt-cube
10×add-exp-log add-cube-cbrt
8×pow1
7×associate-*l*
6×associate-*r* add-log-exp
4×associate-*l/
3×times-frac prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv flip3-+ flip3-- div-sub div-exp pow-prod-down associate-/r/ *-commutative flip-+ flip-- unswap-sqr associate-/l/
1×clear-num associate-/r* sub-neg frac-2neg diff-log div-inv distribute-lft-out distribute-lft-out-- associate--r- difference-of-squares
Counts
4 → 80
Calls
4 calls:
13.0ms
(* wj (exp wj))
20.0ms
(* (+ wj 1) (exp wj))
41.0ms
(/ (- (* wj (exp wj)) (* 1 x)) (* (+ wj 1) (exp wj)))
33.0ms
(- wj (/ (- (* wj (exp wj)) (* 1 x)) (* (+ wj 1) (exp wj))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* wj (exp wj))
58.0ms
(* (+ wj 1) (exp wj))
54.0ms
(/ (- (* wj (exp wj)) (* 1 x)) (* (+ wj 1) (exp wj)))
86.0ms
(- wj (/ (- (* wj (exp wj)) (* 1 x)) (* (+ wj 1) (exp wj))))

simplify1.3s

Counts
92 → 92
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01491411
14351226
222421065
done50001064

prune427.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

regimes190.0ms

Accuracy

0% (1.9b remaining)

Error of 2.2b against oracle of 0.3b and baseline of 2.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample6.2s

Algorithm
intervals
Results
4.7s7455×body10240exit
389.0ms6324×body80valid
183.0ms771×body320valid
156.0ms434×body640valid
95.0ms554×body160valid