Details

sample74.0ms

Algorithm

intervals

Results

46.0ms

644×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1428
3	452
2	154
1	51
0	18

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (+ 3.0 a))

rewrite147.0ms

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:

45.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
46.0ms	(* (* a a) (- 1.0 a))
12.0ms	(pow (+ (* a a) (* b b)) 2.0)
40.0ms	(* (* b b) (+ 3.0 a))

series363.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
81.0ms	(* (* a a) (- 1.0 a))
148.0ms	(pow (+ (* a a) (* b b)) 2.0)
65.0ms	(* (* b b) (+ 3.0 a))

simplify3.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	4311
1	613
0	191

prune490.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (+ 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))

rewrite68.0ms

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:

44.0ms	(* (* b b) (+ 3.0 a))
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))

series727.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* b b) (+ 3.0 a))
215.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
235.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
214.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1682
1	277
0	105

prune604.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize66.0ms

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))

rewrite44.0ms

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:

10.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
215.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
222.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
567.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify857.0ms

Counts

72 → 72

Iterations

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

prune701.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize79.0ms

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))

rewrite32.0ms

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:

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

series949.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
236.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
229.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
243.0ms	(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

prune795.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes743.0ms

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

sample3.7s

Algorithm

intervals

Results

3.0s

20523×

body

valid