Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

363×

body

valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	7
2	24	7
3	47	7
4	65	7
done	65	7

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (fma x y z) y t)

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 (fma x y z) y t)

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(fma (fma x y z) y t)

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	23	129
1	40	124
2	85	106
3	271	106
4	1475	106
done	5002	106

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

13.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series914.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
216.0ms	(cbrt (fma (fma x y z) y t))
248.0ms	(cbrt (fma (fma x y z) y t))
203.0ms	(cbrt (fma (fma x y z) y t))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	107	1641
1	245	1509
2	670	1368
3	1871	1177
done	5001	1142

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (fma (fma x y z) y t))
0.6b	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
0.9b	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
8.0ms	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
14.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (fma (fma x y z) y t))
211.0ms	(cbrt (fma (fma x y z) y t))
252.0ms	(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
353.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

simplify1.5s

Counts

75 → 75

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	147	1290
1	353	1207
2	891	1079
3	2539	1029
done	5000	948

prune556.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(cbrt (fma (fma x y z) y t))
0.5b	(* (cbrt (cbrt (fma (fma x y z) y t))) (cbrt (cbrt (fma (fma x y z) y t))))
0.9b	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

69×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
7×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
34.0ms	(* (cbrt (cbrt (fma (fma x y z) y t))) (cbrt (cbrt (fma (fma x y z) y t))))
8.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (fma (fma x y z) y t))
169.0ms	(cbrt (fma (fma x y z) y t))
244.0ms	(* (cbrt (cbrt (fma (fma x y z) y t))) (cbrt (cbrt (fma (fma x y z) y t))))
407.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

simplify2.4s

Counts

120 → 120

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	179	2498
1	411	2135
2	1064	1856
3	3087	1739
done	5001	1693

prune565.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes329.0ms

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	6	7
done	6	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

11224×

body

valid