Details

sample109.0ms

Algorithm

intervals

Results

14.0ms	124×	body	80	valid
14.0ms	25×	body	320	valid
13.0ms	9×	body	160	valid
12.0ms	256×	body	80	nan
10.0ms	44×	body	1280	valid
10.0ms	54×	body	640	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize1.1s

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1.0))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

61×	`sqrt-prod`
54×	`*-un-lft-identity`
42×	`add-sqr-sqrt` `prod-diff`
31×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `distribute-lft-out--`
2×	`add-exp-log` `expm1-log1p-u` `sqrt-div` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `flip--` `flip-+` `hypot-def`

Counts

2 → 89

Calls

2 calls:

162.0ms	(sqrt (+ x 1.0))
112.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series479.0ms

Counts

2 → 6

Calls

2 calls:

255.0ms	(sqrt (+ x 1.0))
206.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify10.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
3	2215
2	757
1	316
0	137

prune695.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 30.7b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

135×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
45×	`distribute-lft-out`
39×	`sqrt-prod`
36×	`times-frac`
29×	`add-cube-cbrt`
16×	`distribute-lft-out--`
12×	`prod-diff`
11×	`add-log-exp`
8×	`difference-of-squares`
6×	`add-exp-log` `fma-def` `associate-/r` `add-cbrt-cube` `associate-/l`
5×	`pow1`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`flip3--` `sqrt-div` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `associate--l+` `clear-num` `hypot-def` `div-inv`

Counts

4 → 143

Calls

4 calls:

17.0ms	(sqrt (+ 1.0 x))
43.0ms	(+ (sqrt x) (sqrt (+ 1.0 x)))
251.0ms	(/ (- (+ 1.0 x) x) (+ (sqrt x) (sqrt (+ 1.0 x))))
142.0ms	(- (+ 1.0 x) x)

series635.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(sqrt (+ 1.0 x))
283.0ms	(+ (sqrt x) (sqrt (+ 1.0 x)))
253.0ms	(/ (- (+ 1.0 x) x) (+ (sqrt x) (sqrt (+ 1.0 x))))
2.0ms	(- (+ 1.0 x) x)

simplify8.3s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	1761
1	552
0	215

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
27×	`sqrt-prod`
21×	`distribute-lft-out`
20×	`add-sqr-sqrt`
18×	`times-frac`
17×	`add-cube-cbrt`
6×	`fma-def` `associate-/r*`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `sum-log` `hypot-def` `div-inv`

Counts

3 → 84

Calls

3 calls:

16.0ms	(sqrt (+ 1.0 x))
45.0ms	(+ (sqrt x) (sqrt (+ 1.0 x)))
76.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))

series666.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(sqrt (+ 1.0 x))
165.0ms	(+ (sqrt x) (sqrt (+ 1.0 x)))
445.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))

simplify10.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4006
2	1176
1	383
0	158

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `sqrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`pow1` `sqrt-pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 81

Calls

4 calls:

1.0ms	(fma (sqrt (sqrt x)) (sqrt (sqrt x)) (sqrt (+ 1.0 x)))
4.0ms	(sqrt (sqrt x))
5.0ms	(sqrt (sqrt x))
11.0ms	(/ 1.0 (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (sqrt (+ 1.0 x))))

series2.6s

Counts

4 → 12

Calls

4 calls:

595.0ms	(fma (sqrt (sqrt x)) (sqrt (sqrt x)) (sqrt (+ 1.0 x)))
343.0ms	(sqrt (sqrt x))
567.0ms	(sqrt (sqrt x))
1.1s	(/ 1.0 (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (sqrt (+ 1.0 x))))

simplify4.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1497
1	480
0	198

prune865.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample2.3s

Algorithm

intervals

Results

572.0ms	1683×	body	1280	valid
542.0ms	7895×	body	80	nan
281.0ms	1236×	body	640	valid
251.0ms	4136×	body	80	valid
211.0ms	620×	body	320	valid
30.0ms	325×	body	160	valid