Details

sample67.0ms

Algorithm

intervals

Results

36.0ms

661×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	12	17
1	26	16
2	50	15
3	87	15
4	154	15
5	473	15
6	3709	15
done	5000	15

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

38.0ms	(* 4.0 (* b b))
11.0ms	(pow (+ (* a a) (* b b)) 2.0)

series192.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* 4.0 (* b b))
154.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify835.0ms

Counts

46 → 46

Iterations

Useful iterations: done (833.0ms)

Iter	Nodes	Cost
0	81	455
1	210	394
2	971	366
done	5001	363

prune269.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma a a (pow b 2)) 2.0)) (cbrt (pow (fma a a (pow b 2)) 2.0)))
19.5b	(cbrt (pow (fma a a (pow b 2)) 2.0))
19.5b	(cbrt (pow (fma a a (pow b 2)) 2.0))
19.5b	(cbrt (pow (fma a a (pow b 2)) 2.0))

rewrite53.0ms

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:

43.0ms	(* (cbrt (pow (fma a a (pow b 2)) 2.0)) (cbrt (pow (fma a a (pow b 2)) 2.0)))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

259.0ms	(* (cbrt (pow (fma a a (pow b 2)) 2.0)) (cbrt (pow (fma a a (pow b 2)) 2.0)))
221.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
267.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
257.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

simplify985.0ms

Counts

129 → 129

Iterations

Useful iterations: done (980.0ms)

Iter	Nodes	Cost
0	122	2774
1	247	2629
2	1006	2385
done	5000	2243

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

12.2b	(sqrt (pow (fma a a (pow b 2)) 2.0))
12.2b	(sqrt (pow (fma a a (pow b 2)) 2.0))
19.5b	(cbrt (pow (fma a a (pow b 2)) 2.0))
19.5b	(cbrt (pow (fma a a (pow b 2)) 2.0))

rewrite13.0ms

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:

4.0ms	(sqrt (pow (fma a a (pow b 2)) 2.0))
4.0ms	(sqrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

series899.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(sqrt (pow (fma a a (pow b 2)) 2.0))
227.0ms	(sqrt (pow (fma a a (pow b 2)) 2.0))
217.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
217.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

simplify2.0s

Counts

88 → 88

Iterations

Useful iterations: 3 (256.0ms)

Iter	Nodes	Cost
0	81	1174
1	146	1114
2	327	1030
3	939	1024
4	3724	1024
done	5000	1024

prune755.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

19.5b	(cbrt (pow (fma a a (pow b 2)) 2.0))
19.5b	(cbrt (pow (fma a a (pow b 2)) 2.0))
19.5b	(cbrt (pow (fma a a (pow b 2)) 2.0))
19.5b	(cbrt (pow (fma a a (pow b 2)) 2.0))

rewrite10.0ms

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:

2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
2.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

series924.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
254.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
212.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))
210.0ms	(cbrt (pow (fma a a (pow b 2)) 2.0))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: 3 (201.0ms)

Iter	Nodes	Cost
0	58	1188
1	108	1172
2	243	1064
3	716	1052
4	2840	1052
done	5002	1052

prune770.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes639.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	15	17
done	15	17

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.0s

20258×

body

valid