Details

Time bar (total: 9.1s)

sample42.0ms

Algorithm
intervals
Results
17.0ms274×body80valid

simplify238.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51799
62129
72309
82349
done2349

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.6b
(/ (* x 2.0) (* z (- y t)))

rewrite57.0ms

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:
23.0ms
(* z (- y t))
32.0ms
(/ (* x 2.0) (* z (- y t)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* z (- y t))
53.0ms
(/ (* x 2.0) (* z (- y t)))

simplify682.0ms

Counts
55 → 55
Iterations

Useful iterations: done (679.0ms)

IterNodesCost
093556
1260543
21413437
done5002427

prune150.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (/ (* x 2.0) z) (- y t))

rewrite27.0ms

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:
24.0ms
(/ (/ (* x 2.0) z) (- y t))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.3s

Counts
69 → 69
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01451073
13831025
21862961
done5000957

prune238.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
5.9b
(* x (/ (/ 2.0 z) (- y t)))

rewrite122.0ms

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:
23.0ms
(/ (/ 2.0 z) (- y t))
74.0ms
(* x (/ (/ 2.0 z) (- y t)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (/ 2.0 z) (- y t))
70.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify1.8s

Counts
199 → 199
Iterations

Useful iterations: 2 (747.0ms)

IterNodesCost
02742821
17882634
237312524
done50012524

prune729.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
5.9b
(/ (- y t) (/ (* x 2.0) z))

rewrite102.0ms

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:
32.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
41.0ms
(/ (- y t) (/ (* x 2.0) z))

series286.0ms

Counts
2 → 6
Calls
2 calls:
188.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
98.0ms
(/ (- y t) (/ (* x 2.0) z))

simplify706.0ms

Counts
265 → 265
Iterations

Useful iterations: done (682.0ms)

IterNodesCost
03765167
111264482
done50004284

prune622.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes258.0ms

Accuracy

61.8% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 6.2b

bsearch75.0ms

Steps
ItersRangePoint
7
2.1578007639646556e-39
6.8410550143029e-38
6.749469156544846e-38
2
-2.431490042894291e-08
-2.0869213830822955e-08
-2.302276795464793e-08

simplify16.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02346
13534
23934
34034
done4034

end0.0ms

sample1.3s

Algorithm
intervals
Results
606.0ms8744×body80valid