Details

Time bar (total: 2.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144
done144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (+ 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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
36.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series53.0ms

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

simplify50.0ms

Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404
done5001404

prune103.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite84.0ms

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:
33.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
37.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series163.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify67.0ms

Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05882041
126341860
250011696
done50011696

prune234.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
6.5b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
40×*-un-lft-identity
35×add-sqr-sqrt
30×times-frac
23×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
18×associate-*r*
16×prod-exp
10×rec-exp 1-exp associate-/r/
9×pow1
7×distribute-lft-out
6×cbrt-undiv associate-*l* associate-/l*
5×associate-/r*
4×frac-times flip3-- associate-*l/ flip-- cbrt-unprod
3×pow-flip div-inv add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num un-div-inv flip-+ inv-pow difference-of-squares
1×*-commutative distribute-lft-out--
Counts
3 → 129
Calls
3 calls:
11.0ms
(/ 1 (+ x y))
45.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
61.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series203.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (+ x y))
121.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
47.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify50.0ms

Counts
138 → 138
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0434818
12004671
25001624
done5001624

prune192.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ y z) (/ y z))
4.7b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
11.7b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
51×add-cube-cbrt
35×associate-*l*
22×add-exp-log add-cbrt-cube
17×associate-*r*
13×swap-sqr
12×pow1
10×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×frac-times flip3-+ associate-*r/ flip-+ add-log-exp
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
3 → 155
Calls
3 calls:
23.0ms
(* (/ y z) (/ y z))
25.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
82.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (/ y z) (/ y z))
65.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
99.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify113.0ms

Counts
164 → 164
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08271474
145041332
250021328
done50021328

prune318.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 4.5b

regimes143.0ms

Accuracy

74.2% (0.5b remaining)

Error of 6.3b against oracle of 5.8b and baseline of 7.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226
done3226

end0.0ms

sample411.0ms

Algorithm
intervals
Results
188.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid