Details

Time bar (total: 11.9s)

sample27.0ms

Algorithm
intervals
Results
11.0ms282×body80valid

simplify308.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51869
62249
72399
82429
done2429

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.8b
(/ (* x 2.0) (* z (- y t)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
27.0ms
(* z (- y t))
26.0ms
(/ (* x 2.0) (* z (- y t)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* z (- y t))
74.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01451080
1324905
21205699
done5000675

prune159.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.4b
(/ 1 (* z (- y t)))
5.7b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
25×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
14×associate-*r*
13×pow1 cbrt-unprod
12×div-exp
11×distribute-rgt-in distribute-lft-in
7×associate-*r/
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-/r/
3×expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l* add-log-exp
2×sub-neg pow-flip *-commutative div-inv
1×frac-2neg clear-num associate-/r* un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 122
Calls
3 calls:
32.0ms
(* z (- y t))
21.0ms
(/ 1 (* z (- y t)))
98.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series169.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* z (- y t))
47.0ms
(/ 1 (* z (- y t)))
66.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify2.8s

Counts
131 → 131
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01931709
14211384
213191086
done50001062

prune251.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y t))
0.3b
(* (/ 1 z) (/ 1 (- y t)))
5.7b
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
180×add-exp-log
99×prod-exp
67×add-sqr-sqrt
58×add-cbrt-cube
51×times-frac
50×div-exp
49×*-un-lft-identity
29×add-cube-cbrt
27×cbrt-unprod
25×rec-exp 1-exp
22×associate-*r*
20×pow1
14×associate-*l*
13×cbrt-undiv
11×pow-prod-down
9×unswap-sqr
7×distribute-lft-out-- difference-of-squares
6×associate-*r/
5×associate-/r*
4×associate-/r/
3×expm1-log1p-u pow-flip log1p-expm1-u div-inv associate-/l* inv-pow add-log-exp
2×frac-times flip3-- associate-*l/ un-div-inv *-commutative flip--
1×frac-2neg clear-num
Counts
3 → 187
Calls
3 calls:
24.0ms
(/ 1 (- y t))
44.0ms
(* (/ 1 z) (/ 1 (- y t)))
71.0ms
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

series143.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 1 (- y t))
29.0ms
(* (/ 1 z) (/ 1 (- y t)))
68.0ms
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

simplify2.9s

Counts
196 → 196
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02352682
15792139
217161645
done50001628

prune482.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.8b
(/ (* x 2.0) (* z (- y t)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
46.0ms
(* z (- y t))
32.0ms
(/ (* x 2.0) (* z (- y t)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* z (- y t))
76.0ms
(/ (* x 2.0) (* z (- y t)))

simplify945.0ms

Counts
77 → 77
Iterations

Useful iterations: done (942.0ms)

IterNodesCost
01451080
1324905
21205699
done5000675

prune133.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes272.0ms

Accuracy

57% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.6b

bsearch52.0ms

Steps
ItersRangePoint
1
3.773425671062678e+83
3.9531903612801053e+83
3.8183668436170346e+83
9
-2.1117127428199455e-36
-1.710725144656145e-41
-2.037157504084274e-36

simplify6.0ms

Iterations

Useful iterations: done (5.0ms)

IterNodesCost
02137
12537
done2535

end0.0ms

sample1.4s

Algorithm
intervals
Results
830.0ms8754×body80valid