Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

271×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.4b	(/ x (* (- y z) (- y t)))

rewrite61.0ms

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:

37.0ms	(* (- y z) (- y t))
20.0ms	(/ x (* (- y z) (- y t)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- y z) (- y t))
66.0ms	(/ x (* (- y z) (- y t)))

simplify792.0ms

Counts

91 → 91

Iterations

Useful iterations: done (789.0ms)

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

prune189.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y t))
0.6b	(cbrt (- y t))
0.6b	(cbrt (- y t))
7.4b	(/ x (* (* (- y z) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
136×	`frac-times`
111×	`flip3--` `flip--`
80×	`associate-/r/`
50×	`associate-*l/`
44×	`associate-*r/`
18×	`add-exp-log`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 158

Calls

4 calls:

4.0ms	(cbrt (- y t))
4.0ms	(cbrt (- y t))
5.0ms	(cbrt (- y t))
184.0ms	(/ x (* (* (- y z) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))))

series530.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- y t))
158.0ms	(cbrt (- y t))
149.0ms	(cbrt (- y t))
69.0ms	(/ x (* (* (- y z) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))))

simplify904.0ms

Counts

170 → 170

Iterations

Useful iterations: done (898.0ms)

Iter	Nodes	Cost
0	337	3802
1	867	3774
2	2406	3422
done	5001	3187

prune598.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.2b	(/ (/ 1 (- y z)) (- y t))
7.5b	(* x (/ (/ 1 (- y z)) (- y t)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac`
329×	`add-sqr-sqrt`
318×	`*-un-lft-identity`
157×	`add-cube-cbrt`
111×	`associate-r`
80×	`distribute-lft-out--` `difference-of-squares`
31×	`add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
19×	`add-cbrt-cube`
14×	`flip3--` `div-exp` `flip--` `div-inv`
10×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 333

Calls

3 calls:

12.0ms	(/ 1 (- y z))
31.0ms	(/ (/ 1 (- y z)) (- y t))
76.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- y z))
69.0ms	(/ (/ 1 (- y z)) (- y t))
71.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

simplify1.3s

Counts

342 → 342

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	361	5484
1	905	4641
2	1931	4334
done	5000	4326

prune611.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.3b	(/ (/ x (- y z)) (- y t))

rewrite54.0ms

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:

11.0ms	(/ x (- y z))
32.0ms	(/ (/ x (- y z)) (- y t))

series98.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x (- y z))
67.0ms	(/ (/ x (- y z)) (- y t))

simplify921.0ms

Counts

195 → 195

Iterations

Useful iterations: 2 (237.0ms)

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

prune430.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample519.0ms

Algorithm

intervals

Results

227.0ms

8455×

body

valid