Details

sample162.0ms

Algorithm

intervals

Results

115.0ms

644×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

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)))

rewrite230.0ms

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:

108.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
49.0ms	(* (* a a) (+ 1.0 a))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
76.0ms	(* (* a a) (+ 1.0 a))
167.0ms	(pow (+ (* a a) (* b b)) 2.0)
96.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify426.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
1	716
0	211

prune662.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

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))

rewrite88.0ms

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:

38.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
21.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series747.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
195.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
250.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
216.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1456
1	275
0	110

prune603.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

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))

rewrite49.0ms

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:

13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series897.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
244.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
248.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
200.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.0s

Counts

72 → 72

Iterations

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

prune898.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

10.3b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.3b	(cbrt (pow (sqrt (+ (* 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))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

13.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series825.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
204.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
193.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
226.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify956.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	1092
2	363
1	173
0	97

prune831.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes593.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.7s

20523×

body

valid