Details

sample81.0ms

Algorithm

intervals

Results

51.0ms

665×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	29
1	51	29
2	154	29
3	455	29
4	1681	29
done	5001	29

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
1.1b	(* (* b b) (+ 3.0 a))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`associate-r`
10×	`add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

123.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
43.0ms	(* (* a a) (- 1.0 a))
11.0ms	(pow (+ (* a a) (* b b)) 2.0)
44.0ms	(* (* b b) (+ 3.0 a))

series364.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
82.0ms	(* (* a a) (- 1.0 a))
145.0ms	(pow (+ (* a a) (* b b)) 2.0)
46.0ms	(* (* b b) (+ 3.0 a))

simplify490.0ms

Counts

106 → 106

Iterations

Useful iterations: done (485.0ms)

Iter	Nodes	Cost
0	215	1577
1	707	1478
done	5000	1338

prune382.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (+ (* (* a a) 1.0) (- (pow a 3))) (* (* b b) (+ 3.0 a))))
0.0b	(+ (* (* a a) 1.0) (- (pow a 3)))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
1.1b	(* (* b b) (+ 3.0 a))

rewrite680.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-sqr-sqrt` `associate-*r/`
11×	`*-un-lft-identity` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`flip3-+` `associate-r` `flip-+`
4×	`associate-l` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod`
3×	`unpow-prod-down` `pow-unpow`
2×	`distribute-rgt-in` `distribute-lft-in` `sum-log` `*-commutative` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `pow-pow` `distribute-rgt-neg-in` `unpow3` `unsub-neg` `neg-log` `pow-exp` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

596.0ms	(* 4.0 (+ (+ (* (* a a) 1.0) (- (pow a 3))) (* (* b b) (+ 3.0 a))))
37.0ms	(+ (* (* a a) 1.0) (- (pow a 3)))
11.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (+ 3.0 a))

series397.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* 4.0 (+ (+ (* (* a a) 1.0) (- (pow a 3))) (* (* b b) (+ 3.0 a))))
122.0ms	(+ (* (* a a) 1.0) (- (pow a 3)))
139.0ms	(pow (+ (* a a) (* b b)) 2.0)
47.0ms	(* (* b b) (+ 3.0 a))

simplify2.8s

Counts

95 → 95

Iterations

Useful iterations: 2 (797.0ms)

Iter	Nodes	Cost
0	195	1684
1	643	1533
2	4368	1293
done	5000	1293

prune488.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (+ 3.0 a))
16.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

53.0ms	(* (* b b) (+ 3.0 a))
15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series870.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* b b) (+ 3.0 a))
158.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
170.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
504.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	105	1185
1	278	1154
2	1754	1056
done	5001	1043

prune361.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

16.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.4b	(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` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

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

series633.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.1s

Counts

72 → 72

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	57	1204
1	103	1188
2	219	1108
3	639	1096
4	2749	1096
done	5000	1096

prune380.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	32
1	29	32
done	29	32

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.1s

20473×

body

valid