Details

Time bar (total: 11.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
21.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify747.0ms

Counts
55 → 55
Iterations

Useful iterations: done (745.0ms)

IterNodesCost
097855
1209831
2564795
31784795
done5000794

prune128.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.3b

localize8.0ms

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))

rewrite63.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
22.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
27.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series176.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
45.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.3s

Counts
205 → 205
Iterations

Useful iterations: 2 (231.0ms)

IterNodesCost
02494065
16103656
220393259
done50003259

prune305.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.2b

localize9.0ms

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×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 594
Calls
3 calls:
6.0ms
(/ 1 (+ x y))
16.0ms
(/ 1 (- 1.0 (/ y z)))
38.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series216.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (+ x y))
45.0ms
(/ 1 (- 1.0 (/ y z)))
134.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify967.0ms

Counts
603 → 603
Iterations

Useful iterations: done (944.0ms)

IterNodesCost
071716627
1216914086
done500012888

prune540.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.2b

localize12.0ms

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))))

rewrite62.0ms

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×expm1-log1p-u flip3-- pow-flip div-exp flip-- log1p-expm1-u div-inv inv-pow add-log-exp
2×cbrt-undiv rec-exp frac-2neg pow1/2 sqrt-div 1-exp clear-num
Counts
4 → 176
Calls
4 calls:
12.0ms
(/ 1 (- 1.0 (/ y z)))
12.0ms
(/ 1 (- 1.0 (/ y z)))
14.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
17.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ 1 (- 1.0 (/ y z)))
43.0ms
(/ 1 (- 1.0 (/ y z)))
159.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
158.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

simplify5.6s

Counts
188 → 188
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01342424
12252144
25961978
314051978
447401976
done50001976

prune368.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 5.2b

regimes136.0ms

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

sample379.0ms

Algorithm
intervals
Results
208.0ms7997×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid