Details

sample135.0ms

Algorithm

intervals

Results

55.0ms	969×	body	80	nan
19.0ms	304×	body	80	valid

simplify2.3s

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	3158	18
6	4936	18
done	5000	18

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y i (fma (log c) (- b 0.5) (+ a (+ (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)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

3 → 30

Calls

3 calls:

0.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (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)

series1.3s

Counts

3 → 9

Calls

3 calls:

901.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
325.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
60.0ms	(fma x (log y) z)

simplify353.0ms

Counts

39 → 39

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	73	593
1	123	586
2	275	502
3	923	494
done	5000	494

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

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))

series859.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
204.0ms	(cbrt (fma x (log y) z))
212.0ms	(cbrt (fma x (log y) z))
206.0ms	(cbrt (fma x (log y) z))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	118	1361
1	258	1253
2	726	1155
3	2924	1023
done	5000	1011

prune491.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

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))

series851.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt (fma x (log y) z))
207.0ms	(cbrt (fma x (log y) z))
207.0ms	(cbrt (fma x (log y) z))
207.0ms	(cbrt (fma x (log y) z))

simplify486.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (112.0ms)

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

prune425.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

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

series840.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (fma x (log y) z))
208.0ms	(cbrt (fma x (log y) z))
210.0ms	(cbrt (fma x (log y) z))
208.0ms	(cbrt (fma x (log y) z))

simplify484.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (113.0ms)

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

prune427.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes435.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

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	27463×	body	80	nan
593.0ms	9179×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid