Details

Time bar (total: 5.4s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.4b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify999.0ms

Counts
53 → 53
Iterations

Useful iterations: 4 (429.0ms)

IterNodesCost
095835
1204812
2526778
31426776
44185775
done5000775

prune93.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh000
Picked011
Done000
Total46854

Merged error: 4.5b

Counts
54 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
6.9b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
9.0ms
(/ 1 (- 1.0 (/ y z)))
17.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series18.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- 1.0 (/ y z)))
12.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.2s

Counts
103 → 103
Iterations

Useful iterations: 3 (611.0ms)

IterNodesCost
01431364
13491209
214421052
344991046
done50001046

prune112.0ms

Filtered
61 candidates to 103 candidates (-68.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh066
Picked011
Done011
Total1038111

Merged error: 4.5b

Counts
111 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
18.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series30.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify603.0ms

Counts
201 → 201
Iterations

Useful iterations: done (596.0ms)

IterNodesCost
02454021
16013638
220353380
done50003223

prune145.0ms

Filtered
88 candidates to 201 candidates (-128.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2001201
Fresh235
Picked011
Done022
Total2027209

Merged error: 0.0b

Counts
209 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ y x))
0.0b
(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
0.2b
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
12.6b
(/ y (* (+ y x) z))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
46×*-un-lft-identity
44×times-frac
28×add-cube-cbrt
27×associate-/r/
15×add-exp-log
13×associate-/r* add-cbrt-cube
12×flip3-+ associate-*l/ flip-+
10×distribute-rgt-out-- difference-of-squares
9×associate-/l*
6×add-log-exp
5×pow1 div-exp distribute-lft-out--
4×cbrt-undiv distribute-lft-out
3×frac-2neg clear-num div-inv
2×flip3-- frac-sub flip--
1×sub-neg rec-exp pow-flip diff-log 1-exp prod-exp cbrt-unprod inv-pow
Counts
4 → 128
Calls
4 calls:
5.0ms
(/ 1.0 (+ y x))
15.0ms
(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
18.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
7.0ms
(/ y (* (+ y x) z))

series53.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ 1.0 (+ y x))
17.0ms
(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
19.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
11.0ms
(/ y (* (+ y x) z))

simplify1.1s

Counts
140 → 140
Iterations

Useful iterations: 3 (427.0ms)

IterNodesCost
02002311
14192177
212002038
344402030
done50002030

prune135.0ms

Filtered
91 candidates to 140 candidates (-53.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1391140
Fresh033
Picked101
Done123
Total1416147

Merged error: 0.0b

Counts
147 → 6

regimes218.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11415
done1415

end0.0ms

sample563.0ms

Algorithm
intervals
Results
244.0ms7995×body80valid
1.0ms4×body1280valid
0.0ms1×body320valid

Profiling

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