Details

Time bar (total: 15.0s)

sample58.0ms

Algorithm
intervals
Results
27.0ms283×body80valid

simplify380.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51799
62129
72309
82349
done2349

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- 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 → 49
Calls
2 calls:
43.0ms
(* z (- y t))
37.0ms
(/ (* x 2.0) (* z (- y t)))

series164.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* z (- y t))
96.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.0s

Counts
55 → 55
Iterations

Useful iterations: done (1.0s)

IterNodesCost
093556
1260543
21413437
done5002427

prune358.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
14×associate-*r*
13×pow1 add-sqr-sqrt cbrt-unprod
12×div-exp
11×*-un-lft-identity
9×add-cube-cbrt
7×associate-*r/
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in *-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 → 98
Calls
3 calls:
42.0ms
(* z (- y t))
37.0ms
(/ 1 (* z (- y t)))
116.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series211.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* z (- y t))
54.0ms
(/ 1 (* z (- y t)))
92.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify2.3s

Counts
107 → 107
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01391165
14051053
22442828
done5001816

prune593.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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))))

rewrite247.0ms

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×pow-flip 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 → 181
Calls
3 calls:
21.0ms
(/ 1 (- y t))
80.0ms
(* (/ 1 z) (/ 1 (- y t)))
130.0ms
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

series196.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ 1 (- y t))
48.0ms
(* (/ 1 z) (/ 1 (- y t)))
89.0ms
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

simplify4.4s

Counts
190 → 190
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
02292622
17752252
249551753
done50011753

prune730.0ms

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)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- 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 → 49
Calls
2 calls:
43.0ms
(* z (- y t))
30.0ms
(/ (* x 2.0) (* z (- y t)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* z (- y t))
79.0ms
(/ (* x 2.0) (* z (- y t)))

simplify990.0ms

Counts
55 → 55
Iterations

Useful iterations: done (987.0ms)

IterNodesCost
093556
1260543
21413437
done5002427

prune261.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes691.0ms

Accuracy

60.7% (2.3b remaining)

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

bsearch89.0ms

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

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01835
12227
done2227

end0.0ms

sample1.7s

Algorithm
intervals
Results
553.0ms8747×body80valid