Details

Time bar (total: 10.5s)

sample37.0ms

Algorithm
intervals
Results
14.0ms339×body80valid

simplify544.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41379
51879
62319
72499
82999
93259
103319
done3319

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
7.6b
(/ (* y (- z t)) a)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-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×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
31.0ms
(* y (- z t))
12.0ms
(- x (/ (* y (- z t)) a))
29.0ms
(/ (* y (- z t)) a)

series198.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* y (- z t))
67.0ms
(- x (/ (* y (- z t)) a))
75.0ms
(/ (* y (- z t)) a)

simplify2.4s

Counts
72 → 72
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0120760
1291717
2874639
34256627
done5001627

prune188.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (* (* y (- z t)) (/ 1 a)))
7.6b
(* (* y (- z t)) (/ 1 a))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×flip3-- div-exp associate-*l* pow-prod-down flip--
3×sub-neg
2×cbrt-undiv distribute-rgt-in frac-times rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×diff-log un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
26.0ms
(* y (- z t))
5.0ms
(- x (* (* y (- z t)) (/ 1 a)))
43.0ms
(* (* y (- z t)) (/ 1 a))

series167.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* y (- z t))
54.0ms
(- x (* (* y (- z t)) (/ 1 a)))
68.0ms
(* (* y (- z t)) (/ 1 a))

simplify1.1s

Counts
89 → 89
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01551082
1391893
21270769
done5001763

prune202.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ 1 (/ a (* y (- z t)))))
0.2b
(/ 1 (/ a (* y (- z t))))
7.6b
(/ a (* y (- z t)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
37×add-sqr-sqrt
32×add-exp-log *-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv flip3-- flip-- div-inv
6×associate-/l* add-log-exp
5×associate-*r* prod-exp
4×difference-of-squares
3×sub-neg rec-exp 1-exp associate-*l* cbrt-unprod distribute-lft-out--
2×distribute-rgt-in frac-2neg distribute-lft-in clear-num
1×pow-flip diff-log pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 130
Calls
4 calls:
21.0ms
(* y (- z t))
29.0ms
(- x (/ 1 (/ a (* y (- z t)))))
37.0ms
(/ 1 (/ a (* y (- z t))))
12.0ms
(/ a (* y (- z t)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* y (- z t))
67.0ms
(- x (/ 1 (/ a (* y (- z t)))))
62.0ms
(/ 1 (/ a (* y (- z t))))
46.0ms
(/ a (* y (- z t)))

simplify1.1s

Counts
142 → 142
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02061849
14481654
211561422
done50001382

prune310.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (- (/ (- z t) (/ a y))))
5.7b
(/ (- z t) (/ a y))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
90×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
6×add-log-exp
5×associate-/l*
3×cbrt-undiv div-exp
2×pow1 sum-log associate-/l/ distribute-lft-out
1×+-commutative neg-sub0 associate-+r- flip3-- distribute-rgt-neg-in frac-2neg flip3-+ div-sub unsub-neg neg-log clear-num associate-/r/ flip-- flip-+
Counts
2 → 118
Calls
2 calls:
120.0ms
(+ x (- (/ (- z t) (/ a y))))
20.0ms
(/ (- z t) (/ a y))

series119.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ x (- (/ (- z t) (/ a y))))
61.0ms
(/ (- z t) (/ a y))

simplify1.2s

Counts
124 → 124
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02251934
16091789
219421701
done50001691

prune463.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes358.0ms

Accuracy

32.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01949
12940
23340
done3340

end0.0ms

sample1.3s

Algorithm
intervals
Results
588.0ms10736×body80valid