Details

Time bar (total: 21.8s)

sample177.0ms

Algorithm
intervals
Results
126.0ms235×body10240exit
13.0ms214×body80valid
4.0ms21×body320valid
3.0ms10×body640valid
2.0ms13×body160valid

simplify700.0ms

Counts
1 → 1
Iterations

Useful iterations: done (699.0ms)

IterNodesCost
0816
12015
24815
310915
439815
done500014

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
136×add-sqr-sqrt
108×times-frac
103×*-un-lft-identity
38×difference-of-squares
29×add-cube-cbrt
14×associate-/l*
13×distribute-lft-out--
12×distribute-lft-out
8×add-cbrt-cube add-log-exp
7×add-exp-log associate-/r*
4×pow1
3×flip3-- flip-- associate-/l/
2×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num associate-/r/ frac-sub div-inv
1×flip3-+ flip-+ associate--r-
Counts
4 → 141
Calls
4 calls:
51.0ms
(- (/ wj 1) (/ x (exp wj)))
12.0ms
(/ x (exp wj))
148.0ms
(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
159.0ms
(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

series246.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (/ wj 1) (/ x (exp wj)))
48.0ms
(/ x (exp wj))
62.0ms
(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
80.0ms
(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

simplify1.8s

Counts
153 → 153
Iterations

Useful iterations: 2 (733.0ms)

IterNodesCost
02342793
15772291
223772226
done50012226

prune762.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×diff-log
1×sub-neg flip3-- associate-*r* associate--l+ sum-log *-commutative flip--
Counts
2 → 32
Calls
2 calls:
31.0ms
(* 2 (* wj x))
143.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* 2 (* wj x))
56.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))

simplify897.0ms

Counts
38 → 38
Iterations

Useful iterations: done (895.0ms)

IterNodesCost
063439
1167409
2731371
done5001335

prune171.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
105×add-sqr-sqrt
89×times-frac
70×*-un-lft-identity
54×add-cube-cbrt
41×sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
20×add-cbrt-cube
15×unswap-sqr
10×div-exp associate-/r*
8×prod-exp
6×pow1 cbrt-undiv associate-/l* add-log-exp
5×associate-/l/
4×cbrt-unprod div-inv distribute-lft-out
3×frac-sub
2×frac-times rec-exp flip3-- frac-2neg 1-exp div-sub associate-*r/ associate-*l/ clear-num associate-/r/ flip-- difference-of-squares
1×sub-neg flip3-+ diff-log pow-prod-down *-commutative flip-+ distribute-lft-out-- associate--r-
Counts
4 → 177
Calls
4 calls:
16.0ms
(/ x (sqrt (exp wj)))
98.0ms
(* (/ 1 (sqrt (exp wj))) (/ x (sqrt (exp wj))))
89.0ms
(/ (- (/ wj 1) (* (/ 1 (sqrt (exp wj))) (/ x (sqrt (exp wj))))) (+ 1 wj))
91.0ms
(- wj (/ (- (/ wj 1) (* (/ 1 (sqrt (exp wj))) (/ x (sqrt (exp wj))))) (+ 1 wj)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ x (sqrt (exp wj)))
56.0ms
(* (/ 1 (sqrt (exp wj))) (/ x (sqrt (exp wj))))
66.0ms
(/ (- (/ wj 1) (* (/ 1 (sqrt (exp wj))) (/ x (sqrt (exp wj))))) (+ 1 wj))
81.0ms
(- wj (/ (- (/ wj 1) (* (/ 1 (sqrt (exp wj))) (/ x (sqrt (exp wj))))) (+ 1 wj)))

simplify1.1s

Counts
189 → 189
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02723630
18003221
done50002751

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- wj (/ x (exp wj))) (+ 1 wj))
0.0b
(/ (- wj (/ x (exp wj))) (+ 1 wj))
2.9b
(- (* wj wj) (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ (- wj (/ x (exp wj))) (+ 1 wj))))
19.3b
(/ (- (* wj wj) (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ (- wj (/ x (exp wj))) (+ 1 wj)))) (+ (/ (- wj (/ x (exp wj))) (+ 1 wj)) wj))

rewrite551.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
88×add-sqr-sqrt
74×times-frac
38×add-cube-cbrt
26×difference-of-squares
19×distribute-lft-out
16×associate-/l*
12×associate-/r*
10×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/r/ associate-/l/ add-log-exp
4×pow1 flip3-- flip--
3×cbrt-undiv frac-2neg flip3-+ div-sub div-exp clear-num flip-+ div-inv
1×sub-neg diff-log
Counts
4 → 156
Calls
4 calls:
92.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
94.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
18.0ms
(- (* wj wj) (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ (- wj (/ x (exp wj))) (+ 1 wj))))
334.0ms
(/ (- (* wj wj) (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ (- wj (/ x (exp wj))) (+ 1 wj)))) (+ (/ (- wj (/ x (exp wj))) (+ 1 wj)) wj))

series652.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
69.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
248.0ms
(- (* wj wj) (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ (- wj (/ x (exp wj))) (+ 1 wj))))
252.0ms
(/ (- (* wj wj) (* (/ (- wj (/ x (exp wj))) (+ 1 wj)) (/ (- wj (/ x (exp wj))) (+ 1 wj)))) (+ (/ (- wj (/ x (exp wj))) (+ 1 wj)) wj))

simplify2.5s

Counts
168 → 168
Iterations

Useful iterations: 2 (806.0ms)

IterNodesCost
01994880
15634676
227774378
done50014378

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes160.0ms

Accuracy

0% (1.8b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample8.3s

Algorithm
intervals
Results
6.3s7665×body10240exit
551.0ms6323×body80valid
291.0ms793×body320valid
210.0ms448×body640valid
76.0ms515×body160valid