Details

sample59.0ms

Algorithm

intervals

Results

37.0ms

644×

body

valid

simplify100.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

30.0ms	(+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))
31.0ms	(* (* a a) (+ 1.0 a))
31.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series308.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))
60.0ms	(* (* a a) (+ 1.0 a))
55.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
126.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify96.0ms

Counts

99 → 99

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	586	732
1	3080	669
2	5002	669
done	5002	669

prune300.0ms

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)))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite112.0ms

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:

78.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
11.0ms	(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))

series734.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
182.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
185.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
183.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify102.0ms

Counts

121 → 121

Iterations

Useful iterations: 3 (90.0ms)

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

prune495.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite40.0ms

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:

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

series822.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
207.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
203.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
208.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify111.0ms

Counts

72 → 72

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	102	632
1	220	588
2	765	580
3	3241	572
4	5001	572
done	5001	572

prune424.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (+ (* a a) (* b b)))
13.5b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite40.0ms

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:

5.0ms	(cbrt (+ (* a a) (* b b)))
14.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* 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))

series601.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ (* a a) (* b b)))
157.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
168.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify82.0ms

Counts

68 → 68

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	260	681
1	811	627
2	2838	619
3	5001	613
done	5001	613

prune444.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes350.0ms

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

20599×

body

valid