Details

sample87.0ms

Algorithm

intervals

Results

55.0ms

626×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	29
1	51	29
2	154	29
3	410	29
4	1047	29
5	1929	29
6	3970	29
done	5000	29

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.1b	(* (* b b) (+ 3.0 a))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

33.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
38.0ms	(* (* a a) (- 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
39.0ms	(* (* b b) (+ 3.0 a))

series364.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
72.0ms	(* (* a a) (- 1.0 a))
167.0ms	(pow (+ (* a a) (* b b)) 2.0)
64.0ms	(* (* b b) (+ 3.0 a))

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: 2 (524.0ms)

Iter	Nodes	Cost
0	191	1484
1	535	1339
2	2195	1247
done	5000	1247

prune372.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (+ 3.0 a))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite95.0ms

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:

47.0ms	(* (* b b) (+ 3.0 a))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series610.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* b b) (+ 3.0 a))
192.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
198.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
182.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.2s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	105	1185
1	251	1154
2	813	1052
3	3062	1043
done	5001	1043

prune403.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

10.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series805.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
193.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
209.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
206.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.3s

Counts

78 → 78

Iterations

Useful iterations: 3 (187.0ms)

Iter	Nodes	Cost
0	97	1398
1	172	1356
2	325	1272
3	761	1260
4	2062	1260
done	5000	1260

prune473.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

10.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series673.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
166.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
169.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	97	1398
1	172	1356
2	325	1272
3	761	1260
4	2062	1260
done	5000	1260

prune419.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	29
1	25	29
done	25	29

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.2s

20293×

body

valid