Details

Time bar (total: 11.9s)

sample26.0ms

Algorithm
intervals
Results
11.0ms282×body80valid

simplify244.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51739
61989
72049
done2049

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt
*-un-lft-identity
associate-*r* prod-exp cbrt-unprod
pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
associate-*l*
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
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:
21.0ms
(* z (- y t))
32.0ms
(/ (* x 2.0) (* z (- y t)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* z (- y t))
73.0ms
(/ (* x 2.0) (* z (- y t)))

simplify963.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
093556
1243543
21070427
done5000427

prune146.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite177.0ms

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
add-cube-cbrt
associate-*r/
cbrt-undiv rec-exp times-frac 1-exp
pow-prod-down
associate-*l* associate-/r/
flip3-- flip-- associate-/l* add-log-exp
distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv
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))
25.0ms
(/ 1 (* z (- y t)))
103.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series179.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* z (- y t))
54.0ms
(/ 1 (* z (- y t)))
68.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify3.6s

Counts
107 → 107
Iterations

Useful iterations: 2 (354.0ms)

IterNodesCost
01391165
13401006
21180798
done5001798

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))))

rewrite185.0ms

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
unswap-sqr
distribute-lft-out-- difference-of-squares
associate-*r/
associate-/r*
associate-/r/
pow-flip div-inv associate-/l* inv-pow add-log-exp
frac-times flip3-- associate-*l/ un-div-inv *-commutative flip--
frac-2neg clear-num
Counts
3 → 181
Calls
3 calls:
23.0ms
(/ 1 (- y t))
51.0ms
(* (/ 1 z) (/ 1 (- y t)))
101.0ms
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

series166.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1 (- y t))
37.0ms
(* (/ 1 z) (/ 1 (- y t)))
80.0ms
(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

simplify2.6s

Counts
190 → 190
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02292622
15722087
217071597
done50001580

prune367.0ms

Pruning

8 alts after pruning (6 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)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt
*-un-lft-identity
associate-*r* prod-exp cbrt-unprod
pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
associate-*l*
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
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:
46.0ms
(* z (- y t))
32.0ms
(/ (* x 2.0) (* z (- y t)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* z (- y t))
68.0ms
(/ (* x 2.0) (* z (- y t)))

simplify931.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
093556
1243543
21070427
done5000427

prune162.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes339.0ms

Accuracy

56.6% (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

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02035
12335
done2335

end0.0ms

sample1.1s

Algorithm
intervals
Results
653.0ms8754×body80valid