Details

sample60.0ms

Algorithm

intervals

Results

37.0ms

664×

body

valid

simplify94.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15
done	5001	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

7.0ms	(+ (* a a) (* b b))
29.0ms	(* (* a a) (+ 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
29.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* a a) (* b b))
52.0ms	(* (* a a) (+ 1.0 a))
106.0ms	(pow (+ (* a a) (* b b)) 2.0)
53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify60.0ms

Counts

89 → 89

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	453	483
1	2366	426
2	5002	426
done	5002	426

prune232.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

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)))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite103.0ms

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:

73.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series612.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify100.0ms

Counts

121 → 121

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	211	1498
1	681	1419
2	3274	1337
3	5001	1330
done	5001	1330

prune468.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.7b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite40.0ms

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:

9.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
12.0ms	(cbrt (pow (sqrt (+ (* 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))

series630.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
157.0ms	(cbrt (pow (sqrt (+ (* 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))

simplify140.0ms

Counts

78 → 78

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	172	764
1	365	712
2	1183	704
3	4879	694
4	5001	694
done	5001	694

prune432.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.7b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite38.0ms

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:

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

series628.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
158.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify140.0ms

Counts

78 → 78

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	172	764
1	365	712
2	1183	704
3	4879	694
4	5001	694
done	5001	694

prune467.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	52
1	42	52
done	42	52

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

20781×

body

valid