Details

Time bar (total: 10.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite20.0ms

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:
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify716.0ms

Counts
53 → 53
Iterations

Useful iterations: done (714.0ms)

IterNodesCost
095835
1204812
2548776
31687776
done5000775

prune111.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.3b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite56.0ms

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:
21.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
24.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series166.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
46.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.3s

Counts
201 → 201
Iterations

Useful iterations: 2 (218.0ms)

IterNodesCost
02454021
16013616
220443223
done50003223

prune244.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.7b
(/ 1 (- 1.0 (/ y z)))
5.6b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
1165×times-frac
718×add-sqr-sqrt
693×*-un-lft-identity
413×add-cube-cbrt
122×difference-of-squares
93×associate-/r/
79×distribute-lft-out
61×distribute-lft-out--
51×add-exp-log
47×div-inv
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×frac-2neg clear-num add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 588
Calls
3 calls:
5.0ms
(/ 1 (+ x y))
12.0ms
(/ 1 (- 1.0 (/ y z)))
40.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series200.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (+ x y))
46.0ms
(/ 1 (- 1.0 (/ y z)))
122.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify913.0ms

Counts
597 → 597
Iterations

Useful iterations: done (882.0ms)

IterNodesCost
071116571
1215714077
done500012103

prune467.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (- 1.0 (/ y z)))
0.7b
(/ 1 (- 1.0 (/ y z)))
5.2b
(sqrt (/ 1 (- 1.0 (/ y z))))
5.2b
(sqrt (/ 1 (- 1.0 (/ y z))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt
90×times-frac
76×*-un-lft-identity
48×sqrt-prod
46×add-cube-cbrt
28×difference-of-squares
14×distribute-lft-out--
12×add-exp-log associate-/r*
10×pow1
8×associate-/r/ add-cbrt-cube
6×rem-sqrt-square sqrt-pow1 associate-/l*
4×flip3-- pow-flip div-exp flip-- div-inv inv-pow add-log-exp
2×cbrt-undiv rec-exp frac-2neg pow1/2 sqrt-div 1-exp clear-num
Counts
4 → 168
Calls
4 calls:
12.0ms
(/ 1 (- 1.0 (/ y z)))
12.0ms
(/ 1 (- 1.0 (/ y z)))
16.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
13.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

series371.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ 1 (- 1.0 (/ y z)))
42.0ms
(/ 1 (- 1.0 (/ y z)))
141.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
142.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

simplify4.8s

Counts
180 → 180
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
01302356
12182078
25711912
313381912
445121910
done50011910

prune300.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 5.2b

regimes121.0ms

Accuracy

0% (2.2b remaining)

Error of 7.6b against oracle of 5.4b and baseline of 7.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample346.0ms

Algorithm
intervals
Results
189.0ms7997×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid