Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

341×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	58	9
4	93	9
5	121	9
6	139	9
7	159	9
8	192	9
9	249	9
10	278	9
11	313	9
12	349	9
13	374	9
14	390	9
15	477	9
16	568	9
17	818	9
18	1143	9
19	1570	9
20	1655	9
21	1656	9
done	1656	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize8.0ms

Local error

Found 1 expressions with local error:

8.2b	(* (- y x) (/ z t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
3×	`pow1`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 38

Calls

1 calls:

30.0ms

(* (- y x) (/ z t))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* (- y x) (/ z t))

simplify2.3s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	96	449
1	234	430
2	874	388
3	3459	376
done	5000	376

prune131.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.2b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
96.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series1.0s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt z)
314.0ms	(cbrt z)
273.0ms	(cbrt z)
163.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify1.2s

Counts

81 → 81

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	144	1045
1	372	974
2	1507	731
done	5000	702

prune348.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
13.2b	(cbrt (/ z t))
13.2b	(cbrt (/ z t))
13.2b	(cbrt (/ z t))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

71.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
4.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))

series466.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
105.0ms	(cbrt (/ z t))
93.0ms	(cbrt (/ z t))
83.0ms	(cbrt (/ z t))

simplify1.9s

Counts

110 → 110

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	162	1383
1	336	1296
2	865	1187
3	2801	1162
done	5001	1045

prune544.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (/ (cbrt z) t)))))
4.1b	(cbrt (/ (cbrt z) t))
13.2b	(cbrt (/ z t))
13.2b	(cbrt (/ z t))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-cube-cbrt`
15×	`cbrt-div`
13×	`pow1` `add-exp-log`
12×	`associate-*r/`
9×	`frac-times` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

198.0ms	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (/ (cbrt z) t)))))
4.0ms	(cbrt (/ (cbrt z) t))
11.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series698.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (/ (cbrt z) t)))))
256.0ms	(cbrt (/ (cbrt z) t))
75.0ms	(cbrt (/ z t))
88.0ms	(cbrt (/ z t))

simplify1.1s

Counts

121 → 121

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	251	1919
1	523	1834
2	1623	1648
done	5001	1624

prune618.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes364.0ms

Accuracy

65.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	56
1	35	48
done	35	48

end0.0ms

sample1.2s

Algorithm

intervals

Results

493.0ms

10685×

body

valid