Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

265×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	40	11
3	84	11
4	198	11
5	385	11
6	609	11
7	913	11
8	1128	11
9	1497	11
10	1552	11
11	1558	11
done	1558	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.6b	(/ x (* (- y z) (- y t)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

51.0ms	(* (- y z) (- y t))
20.0ms	(/ x (* (- y z) (- y t)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- y z) (- y t))
83.0ms	(/ x (* (- y z) (- y t)))

simplify1.2s

Counts

91 → 91

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	177	1460
1	390	1272
2	1391	1098
done	5000	1074

prune259.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

7.6b	(/ x (* (- y z) (- y t)))
22.6b	(cbrt (/ x (* (- y z) (- y t))))
22.6b	(cbrt (/ x (* (- y z) (- y t))))
22.6b	(cbrt (/ x (* (- y z) (- y t))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
32×	`associate-/r/`
24×	`flip3--` `flip--`
16×	`frac-times`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

21.0ms	(/ x (* (- y z) (- y t)))
16.0ms	(cbrt (/ x (* (- y z) (- y t))))
22.0ms	(cbrt (/ x (* (- y z) (- y t))))
17.0ms	(cbrt (/ x (* (- y z) (- y t))))

series781.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ x (* (- y z) (- y t)))
225.0ms	(cbrt (/ x (* (- y z) (- y t))))
239.0ms	(cbrt (/ x (* (- y z) (- y t))))
218.0ms	(cbrt (/ x (* (- y z) (- y t))))

simplify1.0s

Counts

121 → 121

Iterations

Useful iterations: done (997.0ms)

Iter	Nodes	Cost
0	154	2013
1	333	1947
2	1073	1827
done	5000	1809

prune702.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.0b	(/ x (- y t))
1.9b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 156

Calls

3 calls:

22.0ms	(/ 1 (- y z))
20.0ms	(/ x (- y t))
110.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- y z))
50.0ms	(/ x (- y t))
188.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify2.7s

Counts

165 → 165

Iterations

Useful iterations: 2 (270.0ms)

Iter	Nodes	Cost
0	204	1932
1	510	1689
2	1378	1513
3	4094	1513
done	5002	1513

prune476.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
2.7b	(/ (/ x (- y z)) (- y t))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

13.0ms	(/ x (- y z))
45.0ms	(/ (/ x (- y z)) (- y t))

series120.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (- y z))
74.0ms	(/ (/ x (- y z)) (- y t))

simplify1.3s

Counts

195 → 195

Iterations

Useful iterations: 2 (353.0ms)

Iter	Nodes	Cost
0	268	3384
1	646	3198
2	1673	3122
done	5000	3122

prune591.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

524.0ms

8421×

body

valid