Details

Time bar (total: 11.2s)

sample15.0ms

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)))

rewrite21.0ms

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:
19.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.9s

Counts
55 → 55
Iterations

Useful iterations: 4 (998.0ms)

IterNodesCost
097855
1209831
2529795
31432795
44010794
done5000794

prune136.0ms

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))

rewrite66.0ms

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:
25.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series189.0ms

Counts
2 → 6
Calls
2 calls:
141.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
48.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.5s

Counts
205 → 205
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02494065
16003570
213403259
339553215
done50013213

prune319.0ms

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)))

rewrite117.0ms

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))
13.0ms
(/ 1 (- 1.0 (/ y z)))
43.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series243.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1 (+ x y))
48.0ms
(/ 1 (- 1.0 (/ y z)))
150.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify2.1s

Counts
603 → 603
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
071716627
1215712974
2428911680
done500111680

prune573.0ms

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))))

rewrite67.0ms

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:
13.0ms
(/ 1 (- 1.0 (/ y z)))
13.0ms
(/ 1 (- 1.0 (/ y z)))
19.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
14.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ 1 (- 1.0 (/ y z)))
49.0ms
(/ 1 (- 1.0 (/ y z)))
176.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
177.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

simplify1.3s

Counts
188 → 188
Iterations

Useful iterations: 4 (397.0ms)

IterNodesCost
01342424
12222080
23711978
37381978
418231976
done50001976

prune415.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 5.2b

regimes389.0ms

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

sample360.0ms

Algorithm
intervals
Results
202.0ms7997×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid