Details

sample69.0ms

Algorithm

intervals

Results

19.0ms	67×	body	1280	valid
16.0ms	270×	body	80	nan
9.0ms	37×	body	640	valid
8.0ms	129×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize22.0ms

Local error

Found 1 expressions with local error:

2.1b	(- (sqrt (+ x 1)) (sqrt x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

57×	`sqrt-prod`
50×	`*-un-lft-identity`
42×	`prod-diff`
37×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
8×	`distribute-lft-out`
7×	`fma-neg`
4×	`difference-of-squares`
3×	`distribute-lft-out--` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 71

Calls

1 calls:

58.0ms

(- (sqrt (+ x 1)) (sqrt x))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(- (sqrt (+ x 1)) (sqrt x))

simplify3.0s

Counts

74 → 74

Iterations

Iter	Nodes
4	3405
3	1236
2	485
1	233
0	108

prune630.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (sqrt (+ x 1)) (sqrt x))
0.2b	(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
24×	`sqrt-prod`
21×	`distribute-lft-out`
18×	`times-frac`
15×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`fma-def`
6×	`associate-/r*` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `1-exp` `div-inv` `pow-flip` `inv-pow`

Counts

2 → 72

Calls

2 calls:

22.0ms	(+ (sqrt (+ x 1)) (sqrt x))
38.0ms	(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (sqrt (+ x 1)) (sqrt x))
111.0ms	(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))

simplify1.8s

Counts

78 → 78

Iterations

Iter	Nodes
4	2160
3	933
2	460
1	201
0	94

prune597.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))

rewrite51.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 107

Calls

4 calls:

29.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
5.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))
6.0ms	(cbrt (+ x 1))

series209.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
65.0ms	(cbrt (+ x 1))
46.0ms	(cbrt (+ x 1))
37.0ms	(cbrt (+ x 1))

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
4	3189
3	1370
2	650
1	282
0	127

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ x 1)))
0.3b	(cbrt (sqrt (+ x 1)))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
18×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div` `sqrt-prod`
4×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 74

Calls

4 calls:

5.0ms	(cbrt (sqrt (+ x 1)))
5.0ms	(cbrt (sqrt (+ x 1)))
4.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))

series212.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (sqrt (+ x 1)))
60.0ms	(cbrt (sqrt (+ x 1)))
41.0ms	(cbrt (+ x 1))
58.0ms	(cbrt (+ x 1))

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
4	2610
3	1131
2	532
1	238
0	118

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes107.0ms

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
2	9
1	9
0	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s	7889×	body	80	nan
617.0ms	1778×	body	1280	valid
369.0ms	1226×	body	640	valid
289.0ms	4118×	body	80	valid
113.0ms	585×	body	320	valid
34.0ms	293×	body	160	valid