Details

Time bar (total: 9.2s)

sample36.0ms

Algorithm
intervals
Results
15.0ms277×body80valid

simplify316.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51869
62249
72399
82429
done2429

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ flip-- log1p-expm1-u 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 → 71
Calls
2 calls:
38.0ms
(* z (- y t))
33.0ms
(/ (* x 2.0) (* z (- y t)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* z (- y t))
72.0ms
(/ (* x 2.0) (* z (- y t)))

simplify979.0ms

Counts
77 → 77
Iterations

Useful iterations: done (977.0ms)

IterNodesCost
01451080
1324905
21205699
done5000675

prune136.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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 expm1-log1p-u flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 68
Calls
1 calls:
21.0ms
(/ (/ (* x 2.0) z) (- y t))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
01471093
13711045
21163971
done5000971

prune539.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y t))
5.7b
(* (/ (* x 2.0) z) (/ 1 (- y t)))

rewrite89.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u 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 → 107
Calls
2 calls:
26.0ms
(/ 1 (- y t))
56.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (- y t))
70.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

simplify2.0s

Counts
113 → 113
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
01611400
14161158
21358972
done5000972

prune256.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))

rewrite114.0ms

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×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 263
Calls
2 calls:
46.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
41.0ms
(/ (- y t) (/ (* x 2.0) z))

series226.0ms

Counts
2 → 6
Calls
2 calls:
141.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
85.0ms
(/ (- y t) (/ (* x 2.0) z))

simplify1.1s

Counts
269 → 269
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03805211
19254501
224894060
done50014048

prune571.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes329.0ms

Accuracy

77.5% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02049
12541
done2541

end0.0ms

sample1.1s

Algorithm
intervals
Results
542.0ms8756×body80valid