Details

Time bar (total: 11.3s)

sample40.0ms

Algorithm
intervals
Results
17.0ms284×body80valid

simplify213.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51739
61989
72049
done2049

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.7b
(/ (* x 2.0) (* z (- y t)))

rewrite45.0ms

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:
27.0ms
(* z (- y t))
17.0ms
(/ (* x 2.0) (* z (- y t)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* z (- y t))
52.0ms
(/ (* x 2.0) (* z (- y t)))

simplify888.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
093556
1243543
21070427
done5000427

prune123.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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))

series60.0ms

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

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: 2 (177.0ms)

IterNodesCost
01451073
13681025
21163951
done5001951

prune210.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
3.1b
(* (/ (* x 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 1 z) (cbrt (- y t))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
187×times-frac
145×add-sqr-sqrt
125×*-un-lft-identity
119×add-exp-log
110×associate-*r*
91×add-cube-cbrt
83×cbrt-prod
51×add-cbrt-cube
50×div-exp
45×prod-exp
27×cbrt-undiv cbrt-unprod
20×cbrt-div
16×distribute-lft-out-- difference-of-squares
13×associate-*l*
10×flip3-- associate-/r/ flip-- div-inv
7×unswap-sqr
6×pow1
5×frac-times rec-exp 1-exp
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 227
Calls
4 calls:
4.0ms
(cbrt (- y t))
4.0ms
(cbrt (- y t))
4.0ms
(cbrt (- y t))
196.0ms
(* (/ (* x 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 1 z) (cbrt (- y t))))

series741.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt (- y t))
235.0ms
(cbrt (- y t))
201.0ms
(cbrt (- y t))
98.0ms
(* (/ (* x 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 1 z) (cbrt (- y t))))

simplify2.5s

Counts
239 → 239
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03975750
111865181
241884289
done50014005

prune869.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
6.7b
(* x (/ (/ 2.0 z) (- y t)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 193
Calls
2 calls:
19.0ms
(/ (/ 2.0 z) (- y t))
90.0ms
(* x (/ (/ 2.0 z) (- y t)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (/ 2.0 z) (- y t))
66.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify1.5s

Counts
199 → 199
Iterations

Useful iterations: 2 (406.0ms)

IterNodesCost
02742821
16902622
218182486
done50002486

prune686.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes301.0ms

Accuracy

-2.8% (4.9b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 4.8b

bsearch104.0ms

Steps
ItersRangePoint
7
3.5154020895545546e+75
6.711245250395506e+77
1.1757638298282144e+77
9
3.599554087478122e-299
2.3226509623861298e-291
1.2521624273602172e-291

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02261
12940
done2940

end0.0ms

sample1.2s

Algorithm
intervals
Results
575.0ms8717×body80valid