Details

sample126.0ms

Algorithm

intervals

Results

49.0ms	900×	body	80	nan
18.0ms	299×	body	80	valid

simplify8.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	107	18
3	390	18
4	1294	18
5	3154	18
6	4882	18
done	5001	18

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.0b	(+ (fma x (log y) z) t)
0.1b	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.1b	(fma x (log y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
3×	`fma-def`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 48

Calls

4 calls:

0.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
3.0ms	(+ (fma x (log y) z) t)
0.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms	(fma x (log y) z)

series1.2s

Counts

4 → 12

Calls

4 calls:

725.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
46.0ms	(+ (fma x (log y) z) t)
331.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
54.0ms	(fma x (log y) z)

simplify755.0ms

Counts

60 → 60

Iterations

Useful iterations: 3 (187.0ms)

Iter	Nodes	Cost
0	96	797
1	189	773
2	441	684
3	1573	669
done	5001	669

prune319.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
0.0ms	(cbrt (fma x (log y) z))
0.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))

series889.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
214.0ms	(cbrt (fma x (log y) z))
215.0ms	(cbrt (fma x (log y) z))
215.0ms	(cbrt (fma x (log y) z))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	118	1361
1	258	1257
2	711	1155
3	2864	1025
done	5000	1011

prune529.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

0.0ms	(cbrt (fma x (log y) z))
0.0ms	(cbrt (fma x (log y) z))
0.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))

series858.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (fma x (log y) z))
216.0ms	(cbrt (fma x (log y) z))
212.0ms	(cbrt (fma x (log y) z))
216.0ms	(cbrt (fma x (log y) z))

simplify929.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	61	776
1	129	748
2	326	688
3	1228	664
done	5001	664

prune466.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))
0.9b	(pow (cbrt (cbrt (fma x (log y) z))) 4)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt (fma x (log y) z))
0.0ms	(cbrt (fma x (log y) z))
0.0ms	(cbrt (fma x (log y) z))
3.0ms	(pow (cbrt (cbrt (fma x (log y) z))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (fma x (log y) z))
211.0ms	(cbrt (fma x (log y) z))
413.0ms	(cbrt (fma x (log y) z))
265.0ms	(pow (cbrt (cbrt (fma x (log y) z))) 4)

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: 3 (325.0ms)

Iter	Nodes	Cost
0	122	1036
1	272	988
2	694	896
3	2727	875
done	5000	875

prune511.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes637.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	19	18
done	19	18

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27523×	body	80	nan
576.0ms	9221×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid