Details

sample24.0ms

Algorithm

intervals

Results

5.0ms	60×	body	640	valid
4.0ms	154×	body	80	valid
2.0ms	27×	body	320	valid
1.0ms	15×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
1.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `frac-sub` `flip-+` `flip--`

Counts

2 → 60

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
160.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series134.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ 1.0 (+ x 1.0))
101.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify5.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5292
3	3516
2	812
1	288
0	122

prune551.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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))
1.2b	(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite100.0ms

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` `insert-posit16` `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 → 62

Calls

3 calls:

32.0ms	(* (+ x 1.0) x)
51.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
10.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* (+ x 1.0) x)
65.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
16.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify3.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
2	1527
1	340
0	115

prune622.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.5b	(/ (- 1.0) (* (+ x 1.0) x))

rewrite78.0ms

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-+` `insert-posit16` `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 → 62

Calls

2 calls:

39.0ms	(* (+ x 1.0) x)
32.0ms	(/ (- 1.0) (* (+ x 1.0) x))

series121.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (+ x 1.0) x)
63.0ms	(/ (- 1.0) (* (+ x 1.0) x))

simplify2.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	1009
1	296
0	120

prune633.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

338×	`times-frac`
269×	`*-un-lft-identity`
167×	`add-sqr-sqrt` `add-cube-cbrt`
63×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
56×	`associate-/l*`
51×	`distribute-lft-out`
21×	`neg-mul-1`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 276

Calls

2 calls:

38.0ms	(/ (- 1.0) (+ x 1.0))
86.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

series113.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- 1.0) (+ x 1.0))
63.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

simplify3.9s

Counts

282 → 282

Iterations

Iter	Nodes
done	5000
2	2166
1	852
0	365

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	11
2	11
1	9
0	6

end0.0ms

sample905.0ms

Algorithm

intervals

Results

356.0ms	1929×	body	640	valid
150.0ms	1244×	body	320	valid
134.0ms	4189×	body	80	valid
76.0ms	639×	body	160	valid