Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	251×	body	80	nan

simplify161.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	49	8
4	64	8
5	76	8
6	99	8
7	141	8
8	209	8
9	232	8
done	232	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`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` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (* x (log y)) z)
39.0ms	(* x (log y))

simplify1.7s

Counts

57 → 57

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	111	494
1	227	441
2	707	398
3	2302	385
done	5000	381

prune120.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
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:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series578.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
134.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
173.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify3.6s

Counts

98 → 98

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	125	961
1	282	878
2	1024	708
3	4819	661
done	5000	623

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt y))) x (* x (log (cbrt y))))
0.2b	(* x (log (cbrt y)))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt y))) x (* x (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series661.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(fma (* 2 (log (cbrt y))) x (* x (log (cbrt y))))
95.0ms	(* x (log (cbrt y)))
181.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify991.0ms

Counts

82 → 82

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	102	667
1	172	644
2	565	515
3	1891	496
done	5000	474

prune239.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`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 → 58

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series851.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
181.0ms	(cbrt y)
248.0ms	(cbrt (cbrt y))
244.0ms	(cbrt (cbrt y))

simplify567.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	46	374
1	79	358
2	154	328
3	371	316
4	1225	316
done	5001	316

prune307.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes87.0ms

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	16	26
1	21	26
done	21	26

end0.0ms

sample757.0ms

Algorithm

intervals

Results

245.0ms	8035×	body	80	valid
172.0ms	8157×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid