Details

sample40.0ms

Algorithm

intervals

Results

8.0ms	312×	body	80	nan
6.0ms	49×	body	1280	valid
5.0ms	48×	body	640	valid
3.0ms	123×	body	80	valid
2.0ms	28×	body	320	valid
0.0ms	8×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1.0))
2.4b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite39.0ms

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` `distribute-lft-out`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `diff-log` `flip-+` `flip--`

Counts

2 → 35

Calls

2 calls:

6.0ms	(sqrt (+ x 1.0))
32.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series103.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(sqrt (+ x 1.0))
73.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.4s

Counts

41 → 41

Iterations

Iter	Nodes
done	5006
3	1605
2	539
1	193
0	86

prune161.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 30.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(/ (- (+ x 1.0) x) (+ (sqrt (+ x 1.0)) (sqrt x)))
1.7b	(- (+ x 1.0) x)

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
37×	`distribute-lft-out`
36×	`times-frac`
35×	`add-sqr-sqrt`
32×	`sqrt-prod`
18×	`add-cube-cbrt`
16×	`distribute-lft-out--`
8×	`add-log-exp` `difference-of-squares`
6×	`associate-/r` `associate-/l`
5×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
2×	`flip3-+` `flip3--` `sqrt-div` `diff-log` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `sum-log` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `associate--l+` `div-inv`

Counts

3 → 98

Calls

3 calls:

10.0ms	(sqrt (+ x 1.0))
135.0ms	(/ (- (+ x 1.0) x) (+ (sqrt (+ x 1.0)) (sqrt x)))
50.0ms	(- (+ x 1.0) x)

series234.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(sqrt (+ x 1.0))
193.0ms	(/ (- (+ x 1.0) x) (+ (sqrt (+ x 1.0)) (sqrt x)))
2.0ms	(- (+ x 1.0) x)

simplify1.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1573
1	452
0	175

prune408.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

rewrite56.0ms

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*`
4×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `sqrt-div` `associate-/r/` `flip-+` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

2 → 57

Calls

2 calls:

9.0ms	(sqrt (+ x 1.0))
44.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

series263.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(sqrt (+ x 1.0))
206.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify2.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
3	3296
2	995
1	333
0	142

prune321.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

65.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
5.0ms	(cbrt (+ x 1.0))

series578.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
135.0ms	(cbrt (+ x 1.0))
126.0ms	(cbrt (+ x 1.0))
158.0ms	(cbrt (+ x 1.0))

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	2005
2	816
1	330
0	139

prune625.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

782.0ms	1648×	body	1280	valid
360.0ms	7998×	body	80	nan
209.0ms	1266×	body	640	valid
190.0ms	4138×	body	80	valid
85.0ms	280×	body	160	valid
70.0ms	668×	body	320	valid