Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	65×	body	640	valid
4.0ms	132×	body	80	valid
4.0ms	39×	body	320	valid
1.0ms	20×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize17.0ms

Local error

Found 1 expressions with local error:

2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
8×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`difference-of-squares`
3×	`distribute-lft-out` `add-log-exp`
2×	`div-inv`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `flip--`

Counts

1 → 25

Calls

1 calls:

83.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.9s

Counts

28 → 28

Iterations

Iter	Nodes
done	5001
3	3087
2	586
1	172
0	74

prune165.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
2.2b	(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-l` `associate-*l/`
3×	`times-frac` `associate-r` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

34.0ms	(* (+ x 1.0) x)
37.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
12.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

series124.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (+ x 1.0) x)
46.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
14.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify1.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	2281
1	338
0	112

prune273.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.3b	(/ (- 1.0) (* (+ x 1.0) x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt` `associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`pow1` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`cbrt-undiv` `neg-mul-1` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `add-log-exp`
1×	`neg-sub0` `clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `distribute-frac-neg` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

36.0ms	(* (+ x 1.0) x)
21.0ms	(/ (- 1.0) (* (+ x 1.0) x))

series114.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (+ x 1.0) x)
49.0ms	(/ (- 1.0) (* (+ x 1.0) x))

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5002
2	1710
1	298
0	118

prune267.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (- 1.0) (+ x 1.0)) x)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

298×	`times-frac`
220×	`*-un-lft-identity`
140×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
46×	`associate-/l*`
40×	`distribute-lft-out`
16×	`neg-mul-1`
8×	`associate-/r/`
6×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`flip3-+` `flip-+`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`div-sub` `distribute-frac-neg`
1×	`neg-sub0` `pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`

Counts

1 → 204

Calls

1 calls:

48.0ms

(/ (/ (- 1.0) (+ x 1.0)) x)

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(/ (/ (- 1.0) (+ x 1.0)) x)

simplify1.9s

Counts

207 → 207

Iterations

Iter	Nodes
done	5001
2	4025
1	840
0	346

prune670.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
2	11
1	9
0	6

end0.0ms

sample983.0ms

Algorithm

intervals

Results

431.0ms	1895×	body	640	valid
180.0ms	1226×	body	320	valid
164.0ms	4272×	body	80	valid
46.0ms	608×	body	160	valid