Details

sample50.0ms

Algorithm

intervals

Results

10.0ms	303×	body	80	nan
10.0ms	271×	body	80	valid

simplify204.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	51	9
3	85	9
4	121	9
5	140	9
6	157	9
7	173	9
8	175	9
done	175	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (sqrt z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma (sqrt z) y x)

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(fma (sqrt z) y x)

simplify3.4s

Counts

13 → 13

Iterations

Useful iterations: 5 (1.6s)

Iter	Nodes	Cost
0	31	116
1	71	113
2	171	97
3	394	95
4	1016	95
5	2924	92
done	5001	92

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:

18.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
2.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
2.0ms	(cbrt (fma (sqrt z) y x))

series1.5s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
362.0ms	(cbrt (fma (sqrt z) y x))
363.0ms	(cbrt (fma (sqrt z) y x))
412.0ms	(cbrt (fma (sqrt z) y x))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	133	1594
1	318	1474
2	883	1326
3	2667	1098
done	5000	1048

prune386.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

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:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
2.0ms	(cbrt (fma (sqrt z) y x))

series1.7s

Counts

4 → 12

Calls

4 calls:

447.0ms	(cbrt (fma (sqrt z) y x))
465.0ms	(cbrt (fma (sqrt z) y x))
407.0ms	(cbrt (fma (sqrt z) y x))
379.0ms	(cbrt (fma (sqrt z) y x))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	70	1012
1	167	972
2	428	860
3	1314	740
done	5000	692

prune383.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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:

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

series1.7s

Counts

4 → 12

Calls

4 calls:

451.0ms	(cbrt (fma (sqrt z) y x))
432.0ms	(cbrt (fma (sqrt z) y x))
395.0ms	(cbrt (fma (sqrt z) y x))
414.0ms	(cbrt (fma (sqrt z) y x))

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	70	1012
1	167	972
2	428	860
3	1314	740
done	5000	692

prune441.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes377.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	10	9
done	10	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

327.0ms	8528×	body	80	valid
305.0ms	8519×	body	80	nan