Details

sample44.0ms

Algorithm

intervals

Results

10.0ms	50×	body	1280	valid
9.0ms	229×	body	80	nan
7.0ms	144×	body	80	valid
7.0ms	39×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1.0))
2.7b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite108.0ms

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:

12.0ms	(sqrt (+ x 1.0))
94.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series175.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(sqrt (+ x 1.0))
122.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.4s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	1569
2	532
1	195
0	88

prune197.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (+ x 1.0)) (sqrt x))
0.0b	(sqrt (+ x 1.0))
0.1b	(/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
1.7b	(+ x (- 1.0 x))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

48.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
12.0ms	(sqrt (+ x 1.0))
152.0ms	(/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
27.0ms	(+ x (- 1.0 x))

series336.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
39.0ms	(sqrt (+ x 1.0))
209.0ms	(/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
2.0ms	(+ x (- 1.0 x))

simplify1.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	1476
1	446
0	183

prune558.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite172.0ms

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-+` `insert-posit16` `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 → 74

Calls

3 calls:

65.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
13.0ms	(sqrt (+ x 1.0))
89.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

series346.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (sqrt (+ x 1.0)) (sqrt x))
41.0ms	(sqrt (+ x 1.0))
202.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify2.6s

Counts

83 → 83

Iterations

Iter	Nodes
done	5016
3	3837
2	1137
1	374
0	159

prune327.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
0.1b	(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
0.1b	(/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))
0.2b	(/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))

rewrite462.0ms

Algorithm

rewrite-expression-head

Rules

752×	`*-un-lft-identity`
710×	`sqrt-prod`
594×	`times-frac`
284×	`distribute-lft-out`
257×	`add-sqr-sqrt`
255×	`add-cube-cbrt`
39×	`associate-/l*`
28×	`sqrt-div`
27×	`associate-/r*`
24×	`associate-/r/`
15×	`associate-/l/`
14×	`flip3-+` `flip-+`
12×	`div-inv`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 463

Calls

4 calls:

82.0ms	(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
64.0ms	(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
52.0ms	(/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))
207.0ms	(/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

271.0ms	(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
299.0ms	(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
647.0ms	(/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))
240.0ms	(/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))

simplify3.0s

Counts

475 → 475

Iterations

Iter	Nodes
done	5008
2	2641
1	1062
0	452

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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

sample2.2s

Algorithm

intervals

Results

571.0ms	1657×	body	1280	valid
538.0ms	7961×	body	80	nan
394.0ms	1238×	body	640	valid
247.0ms	4177×	body	80	valid
140.0ms	600×	body	320	valid
74.0ms	328×	body	160	valid