Details

sample126.0ms

Algorithm

intervals

Results

84.0ms

644×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1716
3	492
2	161
1	53
0	19

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
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)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`associate-r` `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×	`pow-unpow` `unpow-prod-down` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

82.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
37.0ms	(* (* a a) (+ 1.0 a))
15.0ms	(pow (+ (* a a) (* b b)) 2.0)
29.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
66.0ms	(* (* a a) (+ 1.0 a))
133.0ms	(pow (+ (* a a) (* b b)) 2.0)
69.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify486.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
1	716
0	211

prune633.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

27.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series717.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
205.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
218.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
212.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1456
1	275
0	110

prune738.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series901.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
230.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
231.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
205.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
4	2379
3	592
2	211
1	103
0	57

prune796.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

10.3b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
10.3b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

14.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series982.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
232.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
231.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
258.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	1122
2	356
1	160
0	88

prune774.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes473.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.5s

20523×

body

valid