Details

Time bar (total: 6.0s)

sample29.0ms

Algorithm
intervals
Results
14.0ms276×body80valid

simplify302.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3819
41259
51659
61969
72099
done2099

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.6b
(/ (* x 2.0) (* z (- y t)))

rewrite17.0ms

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:
9.0ms
(* z (- y t))
6.0ms
(/ (* x 2.0) (* z (- y t)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* z (- y t))
44.0ms
(/ (* x 2.0) (* z (- y t)))

simplify367.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
093556
1253543
21124427
done5000427

prune103.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (/ (- y t) 2.0))
4.6b
(/ x (* z (/ (- y t) 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
19×times-frac associate-*r*
16×add-exp-log add-cbrt-cube
14×add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/l* distribute-lft-out-- difference-of-squares
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 62
Calls
2 calls:
14.0ms
(* z (/ (- y t) 2.0))
6.0ms
(/ x (* z (/ (- y t) 2.0)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* z (/ (- y t) 2.0))
46.0ms
(/ x (* z (/ (- y t) 2.0)))

simplify1.3s

Counts
68 → 68
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0121757
1298718
2981598
34319598
done5001598

prune139.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (/ (- y t) 2.0))
0.9b
(/ 1 (* z (/ (- y t) 2.0)))
4.2b
(* x (/ 1 (* z (/ (- y t) 2.0))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
27×associate-*r*
24×*-un-lft-identity prod-exp
22×times-frac
19×div-exp
18×add-cube-cbrt
10×pow1 cbrt-unprod
9×cbrt-undiv
6×rec-exp 1-exp associate-*l*
4×associate-*r/
3×pow-prod-down div-inv associate-/l* distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
2×pow-flip associate-/r/ *-commutative
1×frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 108
Calls
3 calls:
17.0ms
(* z (/ (- y t) 2.0))
10.0ms
(/ 1 (* z (/ (- y t) 2.0)))
30.0ms
(* x (/ 1 (* z (/ (- y t) 2.0))))

series124.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* z (/ (- y t) 2.0))
29.0ms
(/ 1 (* z (/ (- y t) 2.0)))
43.0ms
(* x (/ 1 (* z (/ (- y t) 2.0))))

simplify594.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01621371
14261205
21351979
done5001979

prune200.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (/ (- y t) 2.0))
4.2b
(* x (/ (/ 1 z) (/ (- y t) 2.0)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
1263×times-frac
707×add-sqr-sqrt
684×*-un-lft-identity
520×add-cube-cbrt
252×associate-*r*
81×distribute-lft-out-- difference-of-squares
68×div-inv
56×add-exp-log
32×div-exp add-cbrt-cube
19×associate-/r*
16×cbrt-undiv
13×associate-/l*
9×prod-exp
7×unswap-sqr
5×cbrt-unprod
4×pow1 rec-exp 1-exp
3×associate-*l*
2×associate-/r/ add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 589
Calls
2 calls:
15.0ms
(/ (/ 1 z) (/ (- y t) 2.0))
83.0ms
(* x (/ (/ 1 z) (/ (- y t) 2.0)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (/ 1 z) (/ (- y t) 2.0))
67.0ms
(* x (/ (/ 1 z) (/ (- y t) 2.0)))

simplify607.0ms

Counts
595 → 595
Iterations

Useful iterations: done (584.0ms)

IterNodesCost
072411517
122119917
done50009583

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes164.0ms

Accuracy

28.7% (3.6b remaining)

Error of 3.6b against oracle of 0.0b and baseline of 5.0b

bsearch47.0ms

Steps
ItersRangePoint
7
4.036564132659508e-225
1.4166037796480145e-223
3.0430869417745983e-224

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02758
13358
done3358

end0.0ms

sample481.0ms

Algorithm
intervals
Results
262.0ms8737×body80valid