Details

Time bar (total: 12.8s)

sample43.0ms

Algorithm
intervals
Results
16.0ms283×body80valid

simplify389.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51929
62389
72659
82729
done2729

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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))
29.0ms
(/ (* x 2.0) (* z (- y t)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* z (- y t))
84.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.4s

Counts
77 → 77
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01451080
1371911
22010719
done5000689

prune396.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
1.2b
(/ 1 (* z (- y t)))
4.8b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite214.0ms

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:
47.0ms
(* z (- y t))
42.0ms
(/ 1 (* z (- y t)))
116.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series200.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* z (- y t))
47.0ms
(/ 1 (* z (- y t)))
89.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify2.9s

Counts
131 → 131
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01931709
15161441
229751108
done50001084

prune708.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y t))
0.3b
(* (/ 1 z) (/ 1 (- y t)))
4.8b
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

rewrite272.0ms

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:
26.0ms
(/ 1 (- y t))
91.0ms
(* (/ 1 z) (/ 1 (- y t)))
136.0ms
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

series220.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ 1 (- y t))
52.0ms
(* (/ 1 z) (/ 1 (- y t)))
100.0ms
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

simplify657.0ms

Counts
196 → 196
Iterations

Useful iterations: done (647.0ms)

IterNodesCost
02352682
17812199
done50001825

prune994.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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)))

series171.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* z (- y t))
101.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.4s

Counts
77 → 77
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01451080
1371911
22010719
done5000689

prune331.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes630.0ms

Accuracy

60.7% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.9b

bsearch99.0ms

Steps
ItersRangePoint
4
35142665.36537281
59347805.45921656
35899075.99330542
8
-7.79023052105148e-54
-7.643859481044558e-57
-4.009043342973146e-54

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01735
12227
done2227

end0.0ms

sample1.4s

Algorithm
intervals
Results
625.0ms8747×body80valid