Details

sample112.0ms

Algorithm

intervals

Results

80.0ms

673×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

44.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
34.0ms	(* (* a a) (- 1.0 a))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)
39.0ms	(* (* b b) (+ 3.0 a))

series399.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
79.0ms	(* (* a a) (- 1.0 a))
182.0ms	(pow (+ (* a a) (* b b)) 2.0)
42.0ms	(* (* b b) (+ 3.0 a))

simplify2.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2417
1	591
0	191

prune633.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize80.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (+ 3.0 a))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

30.0ms	(* (* b b) (+ 3.0 a))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series630.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* b b) (+ 3.0 a))
189.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
190.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
205.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify3.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5012
3	4419
2	895
1	263
0	105

prune676.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize106.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
9.7b	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

14.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
9.0ms	(cbrt (sqrt (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))

series698.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
153.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
198.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
194.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
4	2073
3	710
2	289
1	152
0	92

prune551.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize101.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (+ (* a a) (* b b)))
12.8b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite27.0ms

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:

4.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* 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))

series556.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (+ (* a a) (* b b)))
153.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.2s

Counts

68 → 68

Iterations

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

prune499.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes872.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.1s

20710×

body

valid