Details

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	6
1	6
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) 1)
17.5b	(/ x (+ (* x x) 1))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 40

Calls

2 calls:

19.0ms	(+ (* x x) 1)
20.0ms	(/ x (+ (* x x) 1))

series96.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x x) 1)
55.0ms	(/ x (+ (* x x) 1))

simplify1.5s

Counts

46 → 46

Iterations

Iter	Nodes
4	3603
3	1313
2	480
1	182
0	79

prune277.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x x) (* x x)) -1)
0.1b	(* (* x x) (* x x))
2.9b	(/ x (+ (* (* x x) (* x x)) -1))
22.6b	(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
28×	`add-sqr-sqrt`
25×	`times-frac`
24×	`pow-prod-down`
23×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
22×	`pow-sqr` `add-cube-cbrt`
19×	`associate-l`
18×	`pow-plus`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
8×	`difference-of-sqr--1`
7×	`associate-r`
6×	`add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3-+` `flip-+` `associate-/l*` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3--` `div-exp` `associate-r/` `-commutative` `div-inv` `flip--` `difference-of-squares`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `difference-of-sqr-1` `swap-sqr` `associate-*l/`

Counts

4 → 156

Calls

4 calls:

36.0ms	(+ (* (* x x) (* x x)) -1)
30.0ms	(* (* x x) (* x x))
38.0ms	(/ x (+ (* (* x x) (* x x)) -1))
118.0ms	(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))

series404.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* (* x x) (* x x)) -1)
60.0ms	(* (* x x) (* x x))
140.0ms	(/ x (+ (* (* x x) (* x x)) -1))
94.0ms	(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))

simplify3.7s

Counts

168 → 168

Iterations

Iter	Nodes
3	5353
2	1414
1	486
0	200

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 x) (* x x))
0.1b	(/ 1 (* x (* (* x x) (* x x))))
0.1b	(* (* x x) (* x x))
17.9b	(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* x (* (* x x) (* x x)))))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

226×	`pow1`
101×	`add-exp-log`
88×	`pow-prod-up`
53×	`add-cbrt-cube`
51×	`prod-exp`
40×	`pow-sqr`
36×	`pow-prod-down`
34×	`times-frac`
32×	`pow-plus` `pow-flip`
31×	`*-un-lft-identity`
25×	`pow2`
24×	`div-exp`
23×	`cbrt-unprod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/l*`
12×	`cbrt-undiv`
9×	`div-inv` `add-log-exp`
8×	`rec-exp` `1-exp` `pow-div`
6×	`distribute-lft-out`
5×	`inv-pow`
4×	`distribute-lft-out--`
3×	`frac-add`
2×	`associate-+l+` `clear-num` `associate-/r*` `sum-log` `frac-2neg`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `diff-log` `swap-sqr` `associate-r` `associate-l` `*-commutative` `frac-sub` `associate-+l-` `flip-+` `flip--` `unswap-sqr` `associate-/l/`

Counts

4 → 215

Calls

4 calls:

9.0ms	(/ (/ 1 x) (* x x))
114.0ms	(/ 1 (* x (* (* x x) (* x x))))
32.0ms	(* (* x x) (* x x))
155.0ms	(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* x (* (* x x) (* x x)))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (/ 1 x) (* x x))
76.0ms	(/ 1 (* x (* (* x x) (* x x))))
48.0ms	(* (* x x) (* x x))
48.0ms	(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* x (* (* x x) (* x x)))))

simplify1.1s

Counts

227 → 227

Iterations

Iter	Nodes
2	2275
1	760
0	275

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.2b

bsearch65.0ms

Steps

Iters	Range		Point
8	0.9676876931049737	32461.898498684495	520.1081709356233
6	-6889706126056.061	-1067456184327.3741	-2532354690659.384

simplify7.0ms

Iterations

Iter	Nodes
2	24
1	24
0	18

end0.0ms

sample1.1s

Algorithm

intervals

Results

931.0ms

8000×

body

valid