Details

Time bar (total: 9.7s)

sample25.0ms

Algorithm
intervals
Results
11.0ms270×body80valid

simplify199.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51739
61989
72049
done2049

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
7.2b
(/ (* x 2.0) (* z (- y t)))

rewrite61.0ms

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:
32.0ms
(* z (- y t))
27.0ms
(/ (* x 2.0) (* z (- y t)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* z (- y t))
79.0ms
(/ (* x 2.0) (* z (- y t)))

simplify893.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
093556
1243543
21070427
done5000427

prune144.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ (/ (* x 2.0) z) (- y t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
37×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×div-inv associate-/l*
5×cbrt-undiv div-exp associate-/r*
2×associate-/r/
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 66
Calls
1 calls:
23.0ms
(/ (/ (* x 2.0) z) (- y t))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.6s

Counts
69 → 69
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
01451073
13681025
21163951
done5001951

prune250.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (/ x z) (/ 2.0 (- y t)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
28×times-frac
23×*-un-lft-identity
21×associate-*r*
17×add-cube-cbrt
13×add-exp-log associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1 distribute-lft-out-- difference-of-squares
2×associate-/r/ div-inv
1×frac-times flip3-- associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- add-log-exp
Counts
1 → 58
Calls
1 calls:
60.0ms
(* (/ x z) (/ 2.0 (- y t)))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(* (/ x z) (/ 2.0 (- y t)))

simplify2.9s

Counts
61 → 61
Iterations

Useful iterations: 2 (243.0ms)

IterNodesCost
0132761
1368729
21255637
34931637
done5001637

prune144.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
5.5b
(/ (- y t) (/ (* x 2.0) z))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
373×times-frac
207×add-sqr-sqrt *-un-lft-identity
135×add-cube-cbrt
47×associate-/r*
45×add-exp-log
36×distribute-lft-out-- difference-of-squares
32×div-inv
28×div-exp
25×add-cbrt-cube
14×cbrt-undiv
8×associate-/l*
6×associate-/r/
4×rec-exp 1-exp prod-exp
3×pow1
2×frac-2neg clear-num cbrt-unprod associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 259
Calls
2 calls:
50.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
30.0ms
(/ (- y t) (/ (* x 2.0) z))

series211.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
83.0ms
(/ (- y t) (/ (* x 2.0) z))

simplify917.0ms

Counts
265 → 265
Iterations

Useful iterations: done (906.0ms)

IterNodesCost
03765167
19184458
224674021
done50004009

prune581.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes266.0ms

Accuracy

36.2% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 4.6b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02041
12731
done2731

end0.0ms

sample999.0ms

Algorithm
intervals
Results
525.0ms8745×body80valid