Details

sample50.0ms

Algorithm

intervals

Results

16.0ms	258×	body	80	valid
12.0ms	271×	body	80	nan

simplify189.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	39	8
4	45	8
5	53	8
6	73	8
7	94	8
8	101	8
9	109	8
10	113	8
11	115	8
12	116	8
done	116	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

26.0ms	(- (* x (log y)) z)
18.0ms	(* x (log y))

series151.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(- (* x (log y)) z)
53.0ms	(* x (log y))

simplify3.0s

Counts

49 → 49

Iterations

Useful iterations: 3 (253.0ms)

Iter	Nodes	Cost
0	90	402
1	172	381
2	329	351
3	619	332
4	2453	332
done	5001	332

prune193.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

16.0ms	(* (log (cbrt y)) x)
44.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series856.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (log (cbrt y)) x)
141.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
288.0ms	(cbrt y)
261.0ms	(cbrt y)

simplify4.2s

Counts

66 → 66

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	87	597
1	209	481
2	742	423
3	3667	350
done	5000	345

prune308.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
0.3b	(* (log y) x)
0.3b	(* 1/3 (* (log y) x))
0.6b	(cbrt y)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `log-pow` `flip-+` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

38.0ms	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
9.0ms	(* (log y) x)
18.0ms	(* 1/3 (* (log y) x))
1.0ms	(cbrt y)

series679.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
98.0ms	(* (log y) x)
103.0ms	(* 1/3 (* (log y) x))
234.0ms	(cbrt y)

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	125	723
1	308	621
2	1103	492
done	5000	447

prune275.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
6.0b	(pow y 2/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
4.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt y)
283.0ms	(cbrt y)
378.0ms	(cbrt (cbrt y))
253.0ms	(pow y 2/3)

simplify1.6s

Counts

65 → 65

Iterations

Useful iterations: 4 (731.0ms)

Iter	Nodes	Cost
0	75	356
1	144	315
2	275	288
3	642	274
4	2156	270
done	5000	270

prune388.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

900.0ms	8027×	body	80	valid
345.0ms	7977×	body	80	nan
1.0ms	2×	body	1280	valid
1.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid