Details

sample40.0ms

Algorithm

intervals

Results

25.0ms

691×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	17
1	26	16
2	49	15
3	80	15
4	136	15
5	285	15
6	1002	15
7	4681	15
done	5000	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a a (* b b))
0.0b	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.3b	(pow (fma a a (* b b)) 2.0)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

0.0ms	(fma a a (* b b))
0.0ms	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
1.0ms	(pow (fma a a (* b b)) 2.0)

series213.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(fma a a (* b b))
69.0ms	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
110.0ms	(pow (fma a a (* b b)) 2.0)

simplify1.2s

Counts

48 → 48

Iterations

Useful iterations: 3 (226.0ms)

Iter	Nodes	Cost
0	79	580
1	148	561
2	457	493
3	1884	488
done	5000	488

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

15.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series635.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (pow (fma a a (* b b)) 2.0)) (cbrt (pow (fma a a (* b b)) 2.0)))
162.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
164.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
156.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.9s

Counts

129 → 129

Iterations

Useful iterations: 3 (522.0ms)

Iter	Nodes	Cost
0	122	2774
1	212	2629
2	615	2385
3	2512	2197
done	5000	2197

prune457.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

10.0b	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series631.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (pow (fma a a (* b b)) (/ 2.0 2)))
153.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
160.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
159.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify3.4s

Counts

80 → 80

Iterations

Useful iterations: 3 (164.0ms)

Iter	Nodes	Cost
0	91	1240
1	162	1217
2	382	1106
3	1126	1094
4	4952	1094
done	5000	1094

prune600.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

10.0b	(cbrt (fma a a (* b b)))
15.8b	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))
19.0b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt (fma a a (* b b)))
1.0ms	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series558.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (fma a a (* b b)))
156.0ms	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
151.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
149.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify944.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (229.0ms)

Iter	Nodes	Cost
0	112	1202
1	210	1189
2	519	1077
3	1887	1065
done	5001	1065

prune384.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	12	15
done	12	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

758.0ms

21017×

body

valid