Details

Time bar (total: 12.0s)

sample26.0ms

Algorithm
intervals
Results
10.0ms333×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4889
51459
62019
73869
89199
931169
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
6.2b
(/ (* y (- z x)) t)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
25.0ms
(* y (- z x))
13.0ms
(+ x (/ (* y (- z x)) t))
29.0ms
(/ (* y (- z x)) t)

series184.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* y (- z x))
60.0ms
(+ x (/ (* y (- z x)) t))
69.0ms
(/ (* y (- z x)) t)

simplify1.4s

Counts
70 → 70
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0113722
1309679
21172613
done5001589

prune158.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z x) t)))
0.0b
(/ (- z x) t)
5.0b
(* y (/ (- z x) t))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
13.0ms
(+ x (* y (/ (- z x) t)))
31.0ms
(/ (- z x) t)
33.0ms
(* y (/ (- z x) t))

series160.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (* y (/ (- z x) t)))
47.0ms
(/ (- z x) t)
68.0ms
(* y (/ (- z x) t))

simplify841.0ms

Counts
96 → 96
Iterations

Useful iterations: 2 (215.0ms)

IterNodesCost
01371051
1363988
21583914
done5000914

prune336.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
5.1b
(/ y (/ t (- z x)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
53.0ms
(+ x (/ y (/ t (- z x))))
12.0ms
(/ t (- z x))
33.0ms
(/ y (/ t (- z x)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ x (/ y (/ t (- z x))))
53.0ms
(/ t (- z x))
67.0ms
(/ y (/ t (- z x)))

simplify1.3s

Counts
160 → 160
Iterations

Useful iterations: 2 (446.0ms)

IterNodesCost
02422291
16222158
228952056
done50022056

prune564.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t (- z x)) y)))
0.0b
(/ t (- z x))
0.4b
(/ 1 (/ (/ t (- z x)) y))
5.1b
(/ (/ t (- z x)) y)

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
443×*-un-lft-identity
440×add-sqr-sqrt
336×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
32×add-exp-log
27×associate-/l*
24×div-inv
20×add-cbrt-cube
19×div-exp
17×flip3-- flip--
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp clear-num
2×distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
4 → 448
Calls
4 calls:
116.0ms
(+ x (/ 1 (/ (/ t (- z x)) y)))
18.0ms
(/ t (- z x))
46.0ms
(/ 1 (/ (/ t (- z x)) y))
46.0ms
(/ (/ t (- z x)) y)

series321.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ x (/ 1 (/ (/ t (- z x)) y)))
53.0ms
(/ t (- z x))
80.0ms
(/ 1 (/ (/ t (- z x)) y))
121.0ms
(/ (/ t (- z x)) y)

simplify1.2s

Counts
460 → 460
Iterations

Useful iterations: done (1.2s)

IterNodesCost
06018757
117097638
done50007342

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes224.0ms

Accuracy

86.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 6.7b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02253
12953
done2953

end0.0ms

sample1.2s

Algorithm
intervals
Results
614.0ms10562×body80valid