Details

Time bar (total: 11.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite38.0ms

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:
36.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.3s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
097855
1209831
2558795
31461795
44342794
done5000794

prune146.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.0b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite97.0ms

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:
39.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
45.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series194.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
55.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.0s

Counts
205 → 205
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02494065
15793570
213513259
337103215
done50003215

prune319.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- 1.0 (/ y z)))
5.2b
(* (/ 1 (- 1.0 (/ y z))) (+ x y))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*l*
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-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 102
Calls
2 calls:
25.0ms
(/ 1 (- 1.0 (/ y z)))
70.0ms
(* (/ 1 (- 1.0 (/ y z))) (+ x y))

series193.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ 1 (- 1.0 (/ y z)))
139.0ms
(* (/ 1 (- 1.0 (/ y z))) (+ x y))

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: 2 (277.0ms)

IterNodesCost
01561427
14971227
213091125
337241125
done50011125

prune244.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.7b
(/ 1 (- 1.0 (/ y z)))
5.4b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite154.0ms

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:
12.0ms
(/ 1 (+ x y))
23.0ms
(/ 1 (- 1.0 (/ y z)))
64.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series255.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1 (+ x y))
49.0ms
(/ 1 (- 1.0 (/ y z)))
163.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify1.7s

Counts
603 → 603
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
071716627
1201212974
2376411680
done500111680

prune548.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 4.5b

regimes152.0ms

Accuracy

70.2% (0.6b remaining)

Error of 6.2b against oracle of 5.7b and baseline of 7.6b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02667
13359
done3359

end0.0ms

sample421.0ms

Algorithm
intervals
Results
190.0ms7996×body80valid
0.0ms2×body2560valid
0.0ms1×body1280valid
0.0ms1×body640valid