Details

sample132.0ms

Algorithm

intervals

Results

51.0ms	937×	body	80	nan
21.0ms	291×	body	80	valid

simplify8.2s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma x (log y) z) t)
0.0b	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.2b	(fma x (log y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

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)

series434.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (fma x (log y) z) t)
333.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
55.0ms	(fma x (log y) z)

simplify766.0ms

Counts

47 → 47

Iterations

Useful iterations: 3 (180.0ms)

Iter	Nodes	Cost
0	81	541
1	167	519
2	395	469
3	1359	455
done	5002	455

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

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

series909.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (fma x (log y) z))
219.0ms	(cbrt (fma x (log y) z))
219.0ms	(cbrt (fma x (log y) z))
252.0ms	(* (cbrt (fma x (log y) z)) (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	716	1155
3	2890	1025
done	5001	1011

prune521.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`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 → 90

Calls

4 calls:

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

series893.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
221.0ms	(cbrt (cbrt (fma x (log y) z)))
217.0ms	(cbrt (cbrt (fma x (log y) z)))
217.0ms	(cbrt (cbrt (fma x (log y) z)))

simplify1.3s

Counts

102 → 102

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	129	1562
1	271	1464
2	742	1356
3	2995	1232
done	5000	1218

prune613.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
15×	`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 → 73

Calls

4 calls:

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

series861.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (cbrt (fma x (log y) z)))
216.0ms	(cbrt (cbrt (cbrt (fma x (log y) z))))
212.0ms	(cbrt (cbrt (cbrt (fma x (log y) z))))
212.0ms	(cbrt (cbrt (cbrt (fma x (log y) z))))

simplify944.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (234.0ms)

Iter	Nodes	Cost
0	106	1281
1	212	1258
2	547	1184
3	2171	1168
done	5000	1168

prune639.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.1b

regimes675.0ms

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	27066×	body	80	nan
597.0ms	9151×	body	80	valid
0.0ms	2×	body	320	valid