Details

sample154.0ms

Algorithm

intervals

Results

116.0ms

711×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5021
7	2999
6	781
5	232
4	111
3	65
2	40
1	25
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `sum-log` `flip-+`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

65.0ms	(* 4.0 (* b b))
15.0ms	(+ (* a a) (* b b))
115.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)

series474.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* 4.0 (* b b))
65.0ms	(+ (* a a) (* b b))
154.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
200.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify2.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1199
1	371
0	117

prune607.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize94.0ms

Local error

Found 4 expressions with local error:

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

rewrite224.0ms

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×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

160.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
274.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
309.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
284.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify4.7s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
4	3102
3	1085
2	471
1	232
0	119

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize129.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

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` `add-cbrt-cube` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

61.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
73.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
45.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

289.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
301.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
289.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
280.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify3.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	1659
3	632
2	266
1	138
0	79

prune975.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize152.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

10.0ms	(cbrt (+ (* a a) (* b b)))
25.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (+ (* a a) (* b b)))
297.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
294.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
292.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
3	1872
2	610
1	258
0	122

prune1.5s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.6s

20252×

body

valid