Details

Time bar (total: 9.3s)

sample25.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify186.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51739
61989
72049
done2049

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:
35.0ms
(* z (- y t))
22.0ms
(/ (* x 2.0) (* z (- y t)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* z (- y t))
54.0ms
(/ (* x 2.0) (* z (- y t)))

simplify737.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (140.0ms)

IterNodesCost
093556
1243543
21070427
done5000427

prune123.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ (/ (* x 2.0) z) (- y t))

rewrite32.0ms

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:
29.0ms
(/ (/ (* x 2.0) z) (- y t))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.0s

Counts
69 → 69
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
01451073
13681025
21163951
done5001951

prune174.0ms

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))
5.7b
(* (/ (* x 2.0) z) (/ 1 (- y t)))

rewrite94.0ms

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:
20.0ms
(/ 1 (- y t))
67.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 1 (- y t))
66.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

simplify2.1s

Counts
109 → 109
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
01571364
14111126
21354940
done5001940

prune218.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
5.7b
(/ (- y t) (/ (* x 2.0) z))

rewrite76.0ms

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:
35.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
24.0ms
(/ (- y t) (/ (* x 2.0) z))

series219.0ms

Counts
2 → 6
Calls
2 calls:
146.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
72.0ms
(/ (- y t) (/ (* x 2.0) z))

simplify1.6s

Counts
265 → 265
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03765167
19184458
224674021
done50004009

prune625.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes342.0ms

Accuracy

2.5% (5.5b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 5.7b

bsearch312.0ms

Steps
ItersRangePoint
10
1.437018032307489e+167
1.1612423544125804e+182
1.538759424307254e+171
9
4.7146917033201894e+110
1.2684740810870691e+120
1.9511300679708492e+111
9
2.762608743881804e-299
8.068763620842616e-290
6.17105738286754e-299
8
-4.25163740004515e+212
-1.7514531563118387e+208
-2.55822573448063e+208

simplify16.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03366
14166
24566
34666
done4666

end0.0ms

sample1.1s

Algorithm
intervals
Results
469.0ms8756×body80valid