Details

sample58.0ms

Algorithm

intervals

Results

14.0ms	274×	body	80	valid
14.0ms	279×	body	80	nan

simplify273.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	51	9
3	85	9
4	123	9
5	142	9
6	159	9
7	177	9
8	179	9
done	179	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(fma (sqrt z) y x)

simplify714.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	31	116
1	71	113
2	193	97
3	723	95
done	5001	95

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

19.0ms	(* (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))

series1.6s

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
405.0ms	(cbrt (fma (sqrt z) y x))
426.0ms	(cbrt (fma (sqrt z) y x))
465.0ms	(cbrt (fma (sqrt z) y x))

simplify761.0ms

Counts

93 → 93

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	133	1594
1	341	1474
2	1208	1326
done	5001	1196

prune367.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

series1.6s

Counts

4 → 12

Calls

4 calls:

402.0ms	(cbrt (fma (sqrt z) y x))
401.0ms	(cbrt (fma (sqrt z) y x))
424.0ms	(cbrt (fma (sqrt z) y x))
410.0ms	(cbrt (fma (sqrt z) y x))

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	70	1012
1	167	972
2	495	860
3	2233	780
done	5002	720

prune298.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

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))
5.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

411.0ms	(cbrt (fma (sqrt z) y x))
390.0ms	(cbrt (fma (sqrt z) y x))
407.0ms	(cbrt (fma (sqrt z) y x))
273.0ms	(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))

simplify2.0s

Counts

62 → 62

Iterations

Useful iterations: 3 (810.0ms)

Iter	Nodes	Cost
0	115	1085
1	286	1049
2	866	920
3	3862	849
done	5000	849

prune407.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

0% (0.1b 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	9	9
1	10	9
done	10	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

536.0ms	8713×	body	80	nan
482.0ms	8510×	body	80	valid