Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

278×

body

valid

simplify445.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	38	11
3	52	11
4	80	11
5	108	11
6	205	11
7	631	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
9.5b	(/ (- x (* y z)) (- t (* a z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 56

Calls

3 calls:

5.0ms	(- x (* y z))
11.0ms	(- t (* a z))
22.0ms	(/ (- x (* y z)) (- t (* a z)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- x (* y z))
39.0ms	(- t (* a z))
64.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify652.0ms

Counts

65 → 65

Iterations

Useful iterations: done (650.0ms)

Iter	Nodes	Cost
0	96	852
1	258	829
2	1010	767
done	5000	765

prune277.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
0.3b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.4b	(/ (- t (* a z)) (- x (* y z)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`flip3--` `div-exp` `flip--` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`sub-neg` `rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

4 → 140

Calls

4 calls:

6.0ms	(- x (* y z))
8.0ms	(- t (* a z))
29.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
35.0ms	(/ (- t (* a z)) (- x (* y z)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- x (* y z))
59.0ms	(- t (* a z))
308.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
83.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify1.8s

Counts

152 → 152

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	204	2910
1	553	2656
2	2913	2489
done	5000	2387

prune316.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
0.4b	(/ 1 (- t (* a z)))
9.5b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3--` `flip--`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 99

Calls

4 calls:

5.0ms	(- x (* y z))
5.0ms	(- t (* a z))
10.0ms	(/ 1 (- t (* a z)))
38.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- x (* y z))
34.0ms	(- t (* a z))
54.0ms	(/ 1 (- t (* a z)))
68.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify3.9s

Counts

111 → 111

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	135	1417
1	355	1296
2	2662	1131
done	5001	1125

prune266.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 9.4b

localize17.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (/ (- x (* y z)) (- t (* a z))))
9.5b	(/ (- x (* y z)) (- t (* a z)))
9.5b	(/ (- x (* y z)) (- t (* a z)))
9.5b	(/ (- x (* y z)) (- t (* a z)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 120

Calls

4 calls:

7.0ms	(cbrt (/ (- x (* y z)) (- t (* a z))))
18.0ms	(/ (- x (* y z)) (- t (* a z)))
19.0ms	(/ (- x (* y z)) (- t (* a z)))
24.0ms	(/ (- x (* y z)) (- t (* a z)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt (/ (- x (* y z)) (- t (* a z))))
101.0ms	(/ (- x (* y z)) (- t (* a z)))
86.0ms	(/ (- x (* y z)) (- t (* a z)))
70.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify626.0ms

Counts

132 → 132

Iterations

Useful iterations: done (616.0ms)

Iter	Nodes	Cost
0	166	2438
1	384	2380
2	1277	2226
done	5000	2210

prune576.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 9.4b

regimes406.0ms

Accuracy

0% (0.7b remaining)

Error of 11.2b against oracle of 10.5b and baseline of 11.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	16	13
done	16	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

419.0ms

8688×

body

valid