Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

342×

body

valid

simplify349.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	39	8
3	77	8
4	124	8
5	164	8
6	220	8
7	322	8
8	371	8
9	372	8
done	372	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (fma 0.12 x 0.253) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

3.0ms

(* (fma 0.12 x 0.253) x)

series61.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* (fma 0.12 x 0.253) x)

simplify2.5s

Counts

23 → 23

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	39	204
1	77	198
2	255	168
3	1004	168
4	3122	168
done	5000	168

prune58.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
0.8b	(cbrt (fma 0.12 x 0.253))
0.8b	(cbrt (fma 0.12 x 0.253))
0.8b	(cbrt (fma 0.12 x 0.253))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

16.0ms	(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
0.0ms	(cbrt (fma 0.12 x 0.253))
0.0ms	(cbrt (fma 0.12 x 0.253))
1.0ms	(cbrt (fma 0.12 x 0.253))

series415.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* (cbrt (fma 0.12 x 0.253)) (cbrt (fma 0.12 x 0.253))) (* (cbrt (fma 0.12 x 0.253)) x))
118.0ms	(cbrt (fma 0.12 x 0.253))
116.0ms	(cbrt (fma 0.12 x 0.253))
122.0ms	(cbrt (fma 0.12 x 0.253))

simplify1.6s

Counts

75 → 75

Iterations

Useful iterations: 3 (751.0ms)

Iter	Nodes	Cost
0	115	1441
1	289	1376
2	991	1027
3	4049	809
done	5000	809

prune225.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma 0.12 x 0.253)) (* (cbrt (fma 0.12 x 0.253)) (* (cbrt (fma 0.12 x 0.253)) x)))
0.8b	(cbrt (fma 0.12 x 0.253))
0.8b	(cbrt (fma 0.12 x 0.253))
0.8b	(cbrt (fma 0.12 x 0.253))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `*-commutative`

Counts

4 → 65

Calls

4 calls:

21.0ms	(* (cbrt (fma 0.12 x 0.253)) (* (cbrt (fma 0.12 x 0.253)) (* (cbrt (fma 0.12 x 0.253)) x)))
0.0ms	(cbrt (fma 0.12 x 0.253))
0.0ms	(cbrt (fma 0.12 x 0.253))
1.0ms	(cbrt (fma 0.12 x 0.253))

series415.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (cbrt (fma 0.12 x 0.253)) (* (cbrt (fma 0.12 x 0.253)) (* (cbrt (fma 0.12 x 0.253)) x)))
119.0ms	(cbrt (fma 0.12 x 0.253))
117.0ms	(cbrt (fma 0.12 x 0.253))
120.0ms	(cbrt (fma 0.12 x 0.253))

simplify1.5s

Counts

77 → 77

Iterations

Useful iterations: 3 (597.0ms)

Iter	Nodes	Cost
0	118	1440
1	289	1392
2	962	1084
3	3858	874
done	5000	874

prune241.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt 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:

5.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series897.0ms

Counts

4 → 12

Calls

4 calls:

379.0ms	(* (cbrt x) (cbrt x))
175.0ms	(cbrt x)
173.0ms	(cbrt x)
169.0ms	(cbrt x)

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1180	405
4	3749	400
done	5000	400

prune239.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b 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	7	8
1	8	8
done	8	8

end0.0ms

sample330.0ms

Algorithm

intervals

Results

212.0ms

10709×

body

valid