Details

Time bar (total: 10.4s)

sample29.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
18.0ms
(- 1.0 (/ y z))
51.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- 1.0 (/ y z))
85.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.5s

Counts
71 → 71
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
01041002
1226974
2705928
33064928
done5001928

prune205.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.6b
(/ 1 (- 1.0 (/ y z)))
6.7b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 112
Calls
3 calls:
14.0ms
(- 1.0 (/ y z))
30.0ms
(/ 1 (- 1.0 (/ y z)))
94.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series141.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- 1.0 (/ y z))
57.0ms
(/ 1 (- 1.0 (/ y z)))
65.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.5s

Counts
121 → 121
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01521531
13871367
218941204
done50011198

prune260.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
10.0ms
(- 1.0 (/ y z))
38.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
55.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series241.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- 1.0 (/ y z))
170.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
51.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.7s

Counts
219 → 219
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02544188
16823692
246233580
done50003511

prune397.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z))))
0.2b
(* (/ y z) (/ y z))
6.7b
(* (+ x y) (* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z))))
16.6b
(* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
66×times-frac
56×*-un-lft-identity
51×add-cube-cbrt
44×add-exp-log
35×associate-*l*
32×add-cbrt-cube
19×pow1 frac-times
18×associate-*r*
17×prod-exp
14×flip3-+ associate-*r/ flip-+
13×swap-sqr
11×cbrt-unprod
10×div-exp
7×cbrt-undiv associate-*l/ difference-of-squares unswap-sqr
6×div-inv
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×associate-/r* associate-/r/ add-log-exp
3×rec-exp 1-exp *-commutative associate-/l*
2×flip3-- flip-- distribute-lft-out
1×pow2 pow-flip frac-2neg pow-plus clear-num pow-sqr pow-prod-up inv-pow
Counts
4 → 195
Calls
4 calls:
18.0ms
(/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z))))
23.0ms
(* (/ y z) (/ y z))
100.0ms
(* (+ x y) (* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z))))
127.0ms
(* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z))))
41.0ms
(* (/ y z) (/ y z))
158.0ms
(* (+ x y) (* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z))))
95.0ms
(* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify687.0ms

Counts
207 → 207
Iterations

Useful iterations: done (673.0ms)

IterNodesCost
03034286
111213903
done50013357

prune630.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 4.7b

regimes274.0ms

Accuracy

63.1% (0.7b remaining)

Error of 6.4b against oracle of 5.7b and baseline of 7.6b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02465
13257
done3257

end0.0ms

sample708.0ms

Algorithm
intervals
Results
359.0ms7996×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid