Details

sample58.0ms

Algorithm

intervals

Results

18.0ms	242×	body	80	nan
13.0ms	270×	body	80	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	44	7
4	72	7
5	162	7
6	506	7
7	1673	7
done	5000	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`prod-diff`
7×	`add-log-exp`
6×	`associate-r`
5×	`fma-def`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sum-log` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 55

Calls

2 calls:

61.0ms	(+ (- 1.0 x) (* y (sqrt x)))
21.0ms	(* y (sqrt x))

series151.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (- 1.0 x) (* y (sqrt x)))
83.0ms	(* y (sqrt x))

simplify874.0ms

Counts

61 → 61

Iterations

Useful iterations: done (871.0ms)

Iter	Nodes	Cost
0	110	620
1	286	545
2	1017	453
done	5001	438

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt x))
0.2b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
3.0ms	(sqrt (sqrt x))
14.0ms	(* y (sqrt (sqrt x)))
71.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(sqrt (sqrt x))
243.0ms	(sqrt (sqrt x))
114.0ms	(* y (sqrt (sqrt x)))
66.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify980.0ms

Counts

108 → 108

Iterations

Useful iterations: done (977.0ms)

Iter	Nodes	Cost
0	138	963
1	369	754
2	1739	688
done	5001	674

prune280.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
0.3b	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
13×	`associate-r`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 81

Calls

4 calls:

158.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
51.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
170.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
227.0ms	(cbrt x)
291.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	180	1345
1	467	1200
2	2165	1061
done	5000	1023

prune414.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

58×	`sqrt-prod`
33×	`associate-r`
26×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 110

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
15.0ms	(* y (sqrt (sqrt x)))
156.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
59.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(sqrt (sqrt x))
84.0ms	(* y (sqrt (sqrt x)))
41.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
119.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify2.1s

Counts

122 → 122

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	188	1559
1	523	1264
2	2959	1144
done	5000	950

prune384.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

745.0ms	8381×	body	80	nan
403.0ms	8507×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid