Details

sample44.0ms

Algorithm

intervals

Results

10.0ms	56×	body	1280	valid
10.0ms	277×	body	80	nan
6.0ms	41×	body	640	valid
5.0ms	134×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `add-cube-cbrt` `distribute-lft-out--`
2×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `distribute-lft-out`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `diff-log` `flip-+` `flip--`

Counts

2 → 37

Calls

2 calls:

4.0ms	(sqrt (+ x 1))
25.0ms	(- (sqrt (+ x 1)) (sqrt x))

series100.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(sqrt (+ x 1))
68.0ms	(- (sqrt (+ x 1)) (sqrt x))

simplify1.0s

Counts

43 → 43

Iterations

Iter	Nodes
done	2000
4	2000
3	848
2	350
1	165
0	81

prune190.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 28.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1))
0.0b	(/ (+ x (- 1 x)) (+ (sqrt (+ x 1)) (sqrt x)))
2.7b	(+ x (- 1 x))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
41×	`distribute-lft-out`
30×	`times-frac`
28×	`sqrt-prod`
18×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
8×	`distribute-lft-out--` `add-log-exp`
6×	`associate-/r*`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`pow1` `flip3-+` `flip-+`
3×	`insert-posit16`
2×	`associate-+r+` `associate-+r-` `sum-log` `sqrt-div` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 94

Calls

3 calls:

5.0ms	(sqrt (+ x 1))
88.0ms	(/ (+ x (- 1 x)) (+ (sqrt (+ x 1)) (sqrt x)))
18.0ms	(+ x (- 1 x))

series149.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(sqrt (+ x 1))
105.0ms	(/ (+ x (- 1 x)) (+ (sqrt (+ x 1)) (sqrt x)))
2.0ms	(+ x (- 1 x))

simplify1.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	2009
3	2009
2	907
1	322
0	138

prune430.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
20×	`sqrt-prod`
18×	`times-frac`
17×	`distribute-lft-out`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
6×	`associate-/r*` `add-exp-log`
4×	`pow1` `add-cbrt-cube`
3×	`associate-/l*`
2×	`flip3-+` `sqrt-div` `div-exp` `associate-/r/` `flip-+` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `rec-exp` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `pow-flip` `inv-pow`

Counts

2 → 63

Calls

2 calls:

9.0ms	(sqrt (+ x 1))
33.0ms	(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))

series141.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(sqrt (+ x 1))
105.0ms	(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	2002
4	2002
3	1283
2	528
1	230
0	112

prune254.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1)))) (sqrt x)))
0.2b	(* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1))))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`cbrt-prod`
10×	`associate-r` `add-exp-log`
9×	`times-frac` `sqrt-prod`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-div`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-l` `distribute-lft-out` `associate-/l` `unswap-sqr`
2×	`pow1/3` `sqrt-div` `div-exp` `associate-*r/` `associate-/r/`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `pow-flip` `inv-pow`

Counts

4 → 94

Calls

4 calls:

20.0ms	(/ 1 (+ (* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1)))) (sqrt x)))
23.0ms	(* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1))))
2.0ms	(cbrt (+ x 1))
2.0ms	(cbrt (+ x 1))

series310.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ 1 (+ (* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1)))) (sqrt x)))
69.0ms	(* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1))))
50.0ms	(cbrt (+ x 1))
46.0ms	(cbrt (+ x 1))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	2006
2	2006
1	720
0	280

prune546.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

892.0ms	1668×	body	1280	valid
520.0ms	8141×	body	80	nan
293.0ms	1277×	body	640	valid
266.0ms	4111×	body	80	valid
97.0ms	628×	body	320	valid
32.0ms	316×	body	160	valid