Details

sample139.0ms

Algorithm

intervals

Results

56.0ms	969×	body	80	nan
19.0ms	304×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	107	18
3	393	18
4	1345	18
5	3431	18
done	5000	18

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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)

rewrite1.0ms

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)

series1.1s

Counts

3 → 9

Calls

3 calls:

696.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
315.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
50.0ms	(fma x (log y) z)

simplify361.0ms

Counts

39 → 39

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	73	593
1	124	586
2	287	502
3	957	494
done	5000	494

prune186.0ms

Pruning

3 alts after pruning (2 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)) (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))

series829.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
201.0ms	(cbrt (fma x (log y) z))
199.0ms	(cbrt (fma x (log y) z))
199.0ms	(cbrt (fma x (log y) z))

simplify506.0ms

Counts

93 → 93

Iterations

Useful iterations: done (503.0ms)

Iter	Nodes	Cost
0	118	1361
1	261	1257
2	1027	1155
done	5000	1148

prune502.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))

series818.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (fma x (log y) z))
202.0ms	(cbrt (fma x (log y) z))
202.0ms	(cbrt (fma x (log y) z))
208.0ms	(cbrt (fma x (log y) z))

simplify691.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	61	776
1	129	748
2	353	688
3	1580	664
done	5000	664

prune427.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

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))

series799.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (fma x (log y) z))
199.0ms	(cbrt (fma x (log y) z))
201.0ms	(cbrt (fma x (log y) z))
199.0ms	(cbrt (fma x (log y) z))

simplify682.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	61	776
1	129	748
2	353	688
3	1580	664
done	5000	664

prune409.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes485.0ms

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

sample3.8s

Algorithm

intervals

Results

1.5s	27463×	body	80	nan
596.0ms	9179×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid