Details

sample756.0ms

Algorithm

intervals

Results

644.0ms

711×

body

valid

simplify9.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
7	3801
6	968
5	271
4	143
3	86
2	50
1	26
0	12

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

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:

1.0ms	(fma b b (* a a))
1.0ms	(fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))
5.0ms	(pow (fma b b (* a a)) 2.0)

series818.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms	(fma b b (* a a))
200.0ms	(fma (* 4.0 b) b (pow (fma b b (* a a)) 2.0))
379.0ms	(pow (fma b b (* a a)) 2.0)

simplify8.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
4	4824
3	1188
2	355
1	153
0	76

prune508.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
18.0b	(cbrt (pow (fma b b (* a a)) 2.0))
18.0b	(cbrt (pow (fma b b (* a a)) 2.0))
18.0b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite54.0ms

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:

41.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series1.4s

Counts

4 → 12

Calls

4 calls:

408.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
300.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
327.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
303.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify7.8s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
4	3125
3	1071
2	522
1	236
0	122

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

11.4b	(sqrt (pow (fma b b (* a a)) 2.0))
11.4b	(sqrt (pow (fma b b (* a a)) 2.0))
18.0b	(cbrt (pow (fma b b (* a a)) 2.0))
18.0b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 76

Calls

4 calls:

8.0ms	(sqrt (pow (fma b b (* a a)) 2.0))
8.0ms	(sqrt (pow (fma b b (* a a)) 2.0))
4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

295.0ms	(sqrt (pow (fma b b (* a a)) 2.0))
525.0ms	(sqrt (pow (fma b b (* a a)) 2.0))
356.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
310.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify6.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
4	1733
3	683
2	286
1	142
0	82

prune1.9s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize531.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (fma b b (* a a)))
13.7b	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
18.0b	(cbrt (pow (fma b b (* a a)) 2.0))
18.0b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite66.0ms

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:

2.0ms	(cbrt (fma b b (* a a)))
21.0ms	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
5.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
21.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series2.4s

Counts

4 → 12

Calls

4 calls:

435.0ms	(cbrt (fma b b (* a a)))
565.0ms	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
584.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
830.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify8.9s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
4	3955
3	1322
2	463
1	206
0	112

prune1.4s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes766.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.7s

20252×

body

valid