Details

sample60.0ms

Algorithm

intervals

Results

37.0ms

708×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13
done	5002	13

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 3.0 a))
0.1b	(* (* a a) (+ 1.0 a))
0.2b	(* (* b b) (- 1.0 (* 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
12×	`add-cube-cbrt`
9×	`prod-diff`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`sub-neg` `unpow-prod-down` `pow-unpow` `fma-neg`
2×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `diff-log` `pow-exp` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 98

Calls

4 calls:

5.0ms	(- 1.0 (* 3.0 a))
32.0ms	(* (* a a) (+ 1.0 a))
28.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series251.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- 1.0 (* 3.0 a))
49.0ms	(* (* a a) (+ 1.0 a))
56.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
105.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify58.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	464	609
1	2250	529
2	5002	522
done	5002	522

prune302.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

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)))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite104.0ms

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:

75.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series629.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify101.0ms

Counts

129 → 129

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	217	1556
1	702	1473
2	3308	1390
3	5001	1383
done	5001	1383

prune525.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.5b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite38.0ms

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:

11.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series632.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	163	728
1	392	678
2	1340	660
3	5001	660
done	5001	660

prune456.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.5b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite35.0ms

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:

8.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series639.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
164.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	163	728
1	392	678
2	1340	660
3	5001	660
done	5001	660

prune486.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes228.0ms

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	27	15
1	27	15
done	27	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

20783×

body

valid