Details

Time bar (total: 10.9s)

sample43.0ms

Algorithm
intervals
Results
18.0ms275×body80valid

simplify208.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51739
61989
72049
done2049

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.8b
(/ (* x 2.0) (* z (- y t)))

rewrite41.0ms

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:
22.0ms
(* z (- y t))
18.0ms
(/ (* x 2.0) (* z (- y t)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* z (- y t))
59.0ms
(/ (* x 2.0) (* z (- y t)))

simplify892.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
093556
1243543
21070427
done5000427

prune132.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

3.5b
(/ (/ (* 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:
26.0ms
(/ (/ (* x 2.0) z) (- y t))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: 2 (272.0ms)

IterNodesCost
01451073
13681025
21163951
done5001951

prune200.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y t))
3.6b
(* (/ (* x 2.0) z) (/ 1 (- y t)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
35×times-frac
25×add-cbrt-cube
23×add-cube-cbrt
21×associate-*r*
16×div-exp prod-exp
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×rec-exp 1-exp associate-/r/
3×div-inv associate-/l* unswap-sqr
2×flip3-- flip-- add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative inv-pow
Counts
2 → 103
Calls
2 calls:
15.0ms
(/ 1 (- y t))
88.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 1 (- y t))
71.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

simplify2.3s

Counts
109 → 109
Iterations

Useful iterations: 2 (338.0ms)

IterNodesCost
01571364
14111126
21354940
done5001940

prune295.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y t))
0.3b
(/ (/ 1 (- y t)) z)
4.8b
(* (* x 2.0) (/ (/ 1 (- y t)) z))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
170×add-sqr-sqrt *-un-lft-identity
120×add-cube-cbrt
67×associate-*r*
51×add-exp-log
31×add-cbrt-cube
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
20×div-exp
16×associate-/r/
15×prod-exp
10×cbrt-undiv div-inv
9×pow1 cbrt-unprod
8×flip3-- associate-/r* flip--
4×rec-exp 1-exp
3×pow-prod-down add-log-exp
2×frac-2neg clear-num
1×pow-flip associate-*r/ associate-*l* *-commutative associate-/l/ inv-pow
Counts
3 → 240
Calls
3 calls:
22.0ms
(/ 1 (- y t))
29.0ms
(/ (/ 1 (- y t)) z)
80.0ms
(* (* x 2.0) (/ (/ 1 (- y t)) z))

series269.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ 1 (- y t))
76.0ms
(/ (/ 1 (- y t)) z)
139.0ms
(* (* x 2.0) (/ (/ 1 (- y t)) z))

simplify2.2s

Counts
249 → 249
Iterations

Useful iterations: 2 (772.0ms)

IterNodesCost
03033550
18222985
223742668
done50012668

prune673.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes223.0ms

Accuracy

55.5% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.6b

bsearch111.0ms

Steps
ItersRangePoint
9
1.8841028477782506e-118
1.4602765066234025e-113
7.107769431036534e-114
10
-7.013981961232763e-11
-3.387614609507101e-22
-2.2005235007262074e-21

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01937
12629
done2629

end0.0ms

sample1.4s

Algorithm
intervals
Results
496.0ms8705×body80valid