Details

sample70.0ms

Algorithm

intervals

Results

45.0ms

612×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3070
4	1269
3	422
2	153
1	51
0	18

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

8.0ms	(+ (* a a) (* b b))
42.0ms	(* (* a a) (- 1.0 a))
31.0ms	(* (* b b) (+ 3.0 a))
24.0ms	(pow (+ (* a a) (* b b)) 2.0)

series330.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* a a) (* b b))
81.0ms	(* (* a a) (- 1.0 a))
40.0ms	(* (* b b) (+ 3.0 a))
160.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.9s

Counts

91 → 91

Iterations

Iter	Nodes
done	5003
2	1790
1	515
0	158

prune514.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize62.0ms

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)))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`*-un-lft-identity` `add-cube-cbrt`
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:

107.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series907.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
225.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
228.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
264.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify3.0s

Counts

121 → 121

Iterations

Iter	Nodes
done	5015
4	3352
3	1087
2	471
1	232
0	119

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize164.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (+ (* a a) (* b b)))
15.7b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`unpow-prod-down`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

8.0ms	(cbrt (+ (* a a) (* b b)))
16.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (+ (* a a) (* b b)))
231.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
219.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
633.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1906
2	612
1	258
0	122

prune861.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite34.0ms

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))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series916.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
202.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
220.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
239.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify3.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5006
5	4104
4	1311
3	478
2	194
1	100
0	57

prune705.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes574.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.6s

20694×

body

valid