Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	272×	body	80	valid
6.0ms	241×	body	80	nan

simplify128.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	49	9
3	79	9
4	107	9
5	128	9
6	144	9
7	150	9
8	152	9
done	152	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(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:

0.0ms

(fma (sqrt z) y x)

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(fma (sqrt z) y x)

simplify2.3s

Counts

13 → 13

Iterations

Useful iterations: 5 (1.1s)

Iter	Nodes	Cost
0	31	116
1	71	113
2	175	97
3	386	95
4	1054	95
5	2435	92
done	5001	92

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

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))

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 (sqrt z) y x)) (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))

series1.4s

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
384.0ms	(cbrt (fma (sqrt z) y x))
385.0ms	(cbrt (fma (sqrt z) y x))
374.0ms	(cbrt (fma (sqrt z) y x))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (515.0ms)

Iter	Nodes	Cost
0	133	1594
1	318	1478
2	905	1326
3	3191	1098
done	5000	1098

prune335.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite6.0ms

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))
3.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.5s

Counts

4 → 12

Calls

4 calls:

380.0ms	(cbrt (fma (sqrt z) y x))
368.0ms	(cbrt (fma (sqrt z) y x))
360.0ms	(cbrt (fma (sqrt z) y x))
362.0ms	(cbrt (fma (sqrt z) y x))

simplify950.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (192.0ms)

Iter	Nodes	Cost
0	70	1012
1	167	972
2	447	860
3	1577	740
done	5001	740

prune312.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite4.0ms

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))

series1.5s

Counts

4 → 12

Calls

4 calls:

375.0ms	(cbrt (fma (sqrt z) y x))
368.0ms	(cbrt (fma (sqrt z) y x))
383.0ms	(cbrt (fma (sqrt z) y x))
386.0ms	(cbrt (fma (sqrt z) y x))

simplify951.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (193.0ms)

Iter	Nodes	Cost
0	70	1012
1	167	972
2	447	860
3	1577	740
done	5001	740

prune343.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes154.0ms

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	9	9
1	10	9
done	10	9

end0.0ms

sample805.0ms

Algorithm

intervals

Results

239.0ms	8554×	body	80	valid
224.0ms	8546×	body	80	nan