Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	338×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (195.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	89	14
3	280	12
4	744	11
5	1269	11
6	1442	11
7	1456	11
done	1456	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (fma 2 (+ y z) t) (* y 5.0))

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 x (fma 2 (+ y z) t) (* y 5.0))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma x (fma 2 (+ y z) t) (* y 5.0))

simplify755.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	30	197
1	56	191
2	133	163
3	378	156
4	1341	156
done	5000	156

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

rewrite15.0ms

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:

10.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

421.0ms	(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
295.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
296.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
293.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	147	2618
1	323	2441
2	826	2252
3	2188	1792
done	5000	1678

prune288.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.6b	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.6b	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.6b	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

1.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
1.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
1.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
291.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
292.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
292.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

simplify907.0ms

Counts

73 → 73

Iterations

Useful iterations: done (904.0ms)

Iter	Nodes	Cost
0	119	1849
1	258	1807
2	614	1665
3	1670	1497
done	5001	1357

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.6b	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.6b	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.6b	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`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 → 64

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
1.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
1.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
1.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
291.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
294.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
289.0ms	(cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

simplify1.7s

Counts

76 → 76

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	83	1952
1	168	1908
2	391	1756
3	1058	1576
4	3435	1452
done	5001	1448

prune329.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample717.0ms

Algorithm

intervals

Results

319.0ms	10588×	body	80	valid
12.0ms	116×	body	640	valid
10.0ms	75×	body	1280	valid
4.0ms	53×	body	320	valid
2.0ms	30×	body	160	valid