Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	72×	body	640	valid
6.0ms	126×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	20×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	9
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
3.0b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`times-frac`
15×	`add-cube-cbrt`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-exp-log`
5×	`div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`div-exp` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 71

Calls

2 calls:

16.0ms	(/ 1 (+ x 1))
62.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series68.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ 1 (+ x 1))
40.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify11.0s

Counts

77 → 77

Iterations

Iter	Nodes
4	3087
3	1334
2	587
1	257
0	124

prune202.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* x x))
0.4b	(/ -1 (+ x (* x x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*` `distribute-rgt-out` `distribute-rgt1-in`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

5.0ms	(+ x (* x x))
7.0ms	(/ -1 (+ x (* x x)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ x (* x x))
21.0ms	(/ -1 (+ x (* x x)))

simplify795.0ms

Counts

58 → 58

Iterations

Iter	Nodes
3	2144
2	642
1	197
0	95

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
78×	`*-un-lft-identity`
50×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`distribute-lft-out`
13×	`associate-/l*`
6×	`add-cbrt-cube` `add-exp-log` `div-inv`
4×	`associate-/r*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/`
1×	`pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `insert-posit16` `add-log-exp` `associate-/l/`

Counts

1 → 87

Calls

1 calls:

12.0ms

(/ (/ -1 x) (+ 1 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/ (/ -1 x) (+ 1 x))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
3	2906
2	883
1	383
0	169

prune249.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1 x))
0.0b	(* (/ 1 (sqrt (+ 1 x))) (/ (/ -1 x) (sqrt (+ 1 x))))
0.0b	(/ (/ -1 x) (sqrt (+ 1 x)))
0.1b	(/ 1 (sqrt (+ 1 x)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

409×	`times-frac`
286×	`add-sqr-sqrt`
275×	`*-un-lft-identity`
195×	`add-cube-cbrt`
160×	`sqrt-prod`
97×	`associate-r`
52×	`add-exp-log`
35×	`distribute-lft-out`
32×	`add-cbrt-cube`
27×	`associate-l`
25×	`unswap-sqr`
23×	`div-exp`
19×	`div-inv`
16×	`associate-/l*`
14×	`associate-/r*`
13×	`cbrt-undiv`
12×	`prod-exp`
10×	`sqrt-div`
9×	`pow1`
8×	`associate-/r/`
6×	`cbrt-unprod`
5×	`flip3-+` `flip-+`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`pow-flip`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`frac-times` `rem-sqrt-square` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `inv-pow` `associate-/l/`

Counts

4 → 378

Calls

4 calls:

8.0ms	(sqrt (+ 1 x))
80.0ms	(* (/ 1 (sqrt (+ 1 x))) (/ (/ -1 x) (sqrt (+ 1 x))))
23.0ms	(/ (/ -1 x) (sqrt (+ 1 x)))
11.0ms	(/ 1 (sqrt (+ 1 x)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ 1 x))
32.0ms	(* (/ 1 (sqrt (+ 1 x))) (/ (/ -1 x) (sqrt (+ 1 x))))
94.0ms	(/ (/ -1 x) (sqrt (+ 1 x)))
36.0ms	(/ 1 (sqrt (+ 1 x)))

simplify3.6s

Counts

390 → 390

Iterations

Iter	Nodes
2	3554
1	1284
0	427

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample1.5s

Algorithm

intervals

Results

631.0ms	1954×	body	640	valid
305.0ms	1225×	body	320	valid
300.0ms	4165×	body	80	valid
102.0ms	656×	body	160	valid