Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	269×	body	80	valid
7.0ms	266×	body	80	nan

simplify125.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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)

series68.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(fma (sqrt z) y x)

simplify1.9s

Counts

13 → 13

Iterations

Useful iterations: 5 (862.0ms)

Iter	Nodes	Cost
0	31	116
1	71	113
2	175	97
3	382	95
4	1049	95
5	2447	92
done	5000	92

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

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))

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:

6.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.0ms	(cbrt (fma (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.3s

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
340.0ms	(cbrt (fma (sqrt z) y x))
339.0ms	(cbrt (fma (sqrt z) y x))
330.0ms	(cbrt (fma (sqrt z) y x))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (469.0ms)

Iter	Nodes	Cost
0	133	1594
1	318	1474
2	909	1326
3	3205	1098
done	5001	1098

prune309.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

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))

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 (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.3s

Counts

4 → 12

Calls

4 calls:

334.0ms	(cbrt (fma (sqrt z) y x))
331.0ms	(cbrt (fma (sqrt z) y x))
330.0ms	(cbrt (fma (sqrt z) y x))
332.0ms	(cbrt (fma (sqrt z) y x))

simplify879.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (190.0ms)

Iter	Nodes	Cost
0	70	1012
1	167	972
2	447	860
3	1577	740
done	5000	740

prune294.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

localize25.0ms

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))
1.4b	(expm1 (log1p (cbrt (fma (sqrt z) y x))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(cbrt (fma (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
0.0ms	(expm1 (log1p (cbrt (fma (sqrt z) y x))))

series7.3s

Counts

4 → 12

Calls

4 calls:

347.0ms	(cbrt (fma (sqrt z) y x))
354.0ms	(cbrt (fma (sqrt z) y x))
347.0ms	(cbrt (fma (sqrt z) y x))
6.3s	(expm1 (log1p (cbrt (fma (sqrt z) y x))))

simplify1.2s

Counts

62 → 62

Iterations

Useful iterations: 3 (415.0ms)

Iter	Nodes	Cost
0	94	958
1	224	895
2	629	796
3	2491	690
done	5001	690

prune334.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.1b

regimes188.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample825.0ms

Algorithm

intervals

Results

234.0ms	8531×	body	80	valid
233.0ms	8743×	body	80	nan