Details

sample57.0ms

Algorithm

intervals

Results

11.0ms	54×	body	1280	valid
10.0ms	253×	body	80	nan
6.0ms	143×	body	80	valid
5.0ms	34×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1.0))
2.5b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite76.0ms

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))
69.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series143.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(sqrt (+ x 1.0))
103.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.6s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
3	2862
2	671
1	193
0	86

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ (sqrt (+ x 1.0)) (sqrt x))
0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
24×	`sqrt-prod`
21×	`distribute-lft-out`
18×	`times-frac`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
6×	`associate-/r*`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

3 → 71

Calls

3 calls:

9.0ms	(sqrt (+ x 1.0))
33.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
39.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(sqrt (+ x 1.0))
88.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
174.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify1.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1548
1	371
0	156

prune424.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite87.0ms

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:

6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
60.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ x 1.0))
134.0ms	(cbrt (+ x 1.0))
120.0ms	(cbrt (+ x 1.0))
157.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify1.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1219
1	332
0	139

prune795.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (sqrt (+ x 1.0)))
0.2b	(cbrt (sqrt (+ x 1.0)))

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×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `sqrt-div` `add-exp-log` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 62

Calls

4 calls:

6.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (sqrt (+ x 1.0)))
4.0ms	(cbrt (sqrt (+ x 1.0)))

series499.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ x 1.0))
110.0ms	(cbrt (+ x 1.0))
134.0ms	(cbrt (sqrt (+ x 1.0)))
127.0ms	(cbrt (sqrt (+ x 1.0)))

simplify2.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5002
3	3420
2	889
1	296
0	136

prune692.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes65.0ms

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	9
1	9
0	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

785.0ms	7946×	body	80	nan
354.0ms	1750×	body	1280	valid
170.0ms	4066×	body	80	valid
168.0ms	1314×	body	640	valid
51.0ms	560×	body	320	valid
19.0ms	310×	body	160	valid