Details

sample80.0ms

Algorithm

intervals

Results

24.0ms	277×	body	80	nan
18.0ms	255×	body	80	valid
1.0ms	1×	body	1280	valid

simplify365.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	49	8
4	56	8
5	64	8
6	86	8
7	111	8
8	141	8
9	153	8
10	154	8
11	160	8
12	161	8
done	161	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

19.0ms

(* x (log y))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(* x (log y))

simplify2.3s

Counts

30 → 30

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	59	213
1	99	204
2	186	184
3	284	173
4	1014	173
done	5000	173

prune77.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
45.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series915.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (log (cbrt y)) x)
155.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
288.0ms	(cbrt y)
271.0ms	(cbrt y)

simplify2.9s

Counts

98 → 98

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	132	968
1	321	855
2	1006	698
done	5000	596

prune551.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt y)
3.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (cbrt y))

series1.5s

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt y)
385.0ms	(cbrt (cbrt y))
359.0ms	(cbrt (cbrt y))
423.0ms	(cbrt (cbrt y))

simplify4.2s

Counts

73 → 73

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	46	419
1	79	400
2	151	370
3	319	358
4	972	358
5	4693	358
done	5000	346

prune437.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite12.0ms

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`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
0.0ms	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (log (cbrt y)) x)
239.0ms	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
306.0ms	(cbrt y)
289.0ms	(cbrt y)

simplify1.5s

Counts

70 → 70

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	81	522
1	147	503
2	421	414
3	1453	353
done	5000	350

prune219.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

726.0ms	8029×	body	80	valid
349.0ms	8294×	body	80	nan
1.0ms	2×	body	1280	valid