Details

sample137.0ms

Algorithm

intervals

Results

110.0ms

632×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
5	4205
4	1518
3	553
2	164
1	52
0	18

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
0.1b	(* (* a a) (- 1 a))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.8b	(* (* b b) (+ 3 a))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`add-sqr-sqrt` `pow1` `add-exp-log`
16×	`add-cbrt-cube`
15×	`*-un-lft-identity`
13×	`associate-r`
10×	`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` `difference-of-squares`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `unpow2` `sqr-pow`

Counts

4 → 96

Calls

4 calls:

84.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
24.0ms	(* (* a a) (- 1 a))
20.0ms	(pow (+ (* a a) (* b b)) 2)
37.0ms	(* (* b b) (+ 3 a))

series277.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
79.0ms	(* (* a a) (- 1 a))
68.0ms	(pow (+ (* a a) (* b b)) 2)
62.0ms	(* (* b b) (+ 3 a))

simplify1.1s

Counts

108 → 108

Iterations

Iter	Nodes
2	2555
1	661
0	209

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (- 1 a))
0.2b	(* (* a a) (* a a))
0.8b	(* (* b b) (+ 3 a))
1.4b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

130×	`pow1`
36×	`pow-prod-up`
32×	`pow-prod-down`
31×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
17×	`prod-exp` `cbrt-unprod`
14×	`associate-r`
13×	`pow2` `add-sqr-sqrt`
12×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-*r/`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`sub-neg` `flip3-+` `flip-+` `difference-of-squares`
1×	`flip3--` `swap-sqr` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 138

Calls

4 calls:

31.0ms	(* (* a a) (- 1 a))
19.0ms	(* (* a a) (* a a))
37.0ms	(* (* b b) (+ 3 a))
46.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (* a a) (- 1 a))
62.0ms	(* (* a a) (* a a))
39.0ms	(* (* b b) (+ 3 a))
77.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify780.0ms

Counts

150 → 150

Iterations

Iter	Nodes
2	2015
1	567
0	171

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
0.1b	(* (* a a) (- 1 a))
0.8b	(* (* b b) (+ 3 a))
1.4b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
20×	`associate-*r/`
17×	`add-sqr-sqrt`
16×	`associate-r`
14×	`*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
6×	`associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
4×	`frac-add` `*-commutative` `add-log-exp` `unswap-sqr`
3×	`flip3--` `flip--`
2×	`sub-neg` `difference-of-squares`
1×	`distribute-lft-out` `distribute-lft-out--`

Counts

4 → 101

Calls

4 calls:

85.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
29.0ms	(* (* a a) (- 1 a))
19.0ms	(* (* b b) (+ 3 a))
31.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series297.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
92.0ms	(* (* a a) (- 1 a))
46.0ms	(* (* b b) (+ 3 a))
83.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify1.3s

Counts

113 → 113

Iterations

Iter	Nodes
2	3001
1	735
0	211

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (- 1 a))
0.1b	(* b (* b (+ (* b b) (* 2 (* a a)))))
0.2b	(* b (+ (* b b) (* 2 (* a a))))
0.8b	(* (* b b) (+ 3 a))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

22.0ms	(* (* a a) (- 1 a))
28.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
16.0ms	(* b (+ (* b b) (* 2 (* a a))))
38.0ms	(* (* b b) (+ 3 a))

series256.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* a a) (- 1 a))
78.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
70.0ms	(* b (+ (* b b) (* 2 (* a a))))
40.0ms	(* (* b b) (+ 3 a))

simplify4.3s

Counts

110 → 110

Iterations

Iter	Nodes
3	8524
2	1880
1	531
0	171

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes201.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	33
1	33
0	22

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.7s

20616×

body

valid