Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	273×	body	80	valid
12.0ms	271×	body	80	nan

simplify197.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	44	7
4	65	7
5	88	7
6	105	7
7	126	7
8	149	7
9	156	7
10	171	7
done	171	7

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.3b	(* y (sqrt x))

rewrite64.0ms

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:

42.0ms	(+ (- 1.0 x) (* y (sqrt x)))
19.0ms	(* y (sqrt x))

series123.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (- 1.0 x) (* y (sqrt x)))
64.0ms	(* y (sqrt x))

simplify3.4s

Counts

61 → 61

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	110	620
1	273	545
2	736	453
3	2566	429
done	5001	407

prune229.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt x) (- 1.0 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (sqrt x) (- 1.0 x))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(fma y (sqrt x) (- 1.0 x))

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (352.0ms)

Iter	Nodes	Cost
0	26	126
1	53	123
2	119	109
3	312	109
4	1214	106
done	5000	106

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite110.0ms

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))
23.0ms	(* y (sqrt (sqrt x)))
79.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series676.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(sqrt (sqrt x))
195.0ms	(sqrt (sqrt x))
96.0ms	(* y (sqrt (sqrt x)))
72.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify3.6s

Counts

108 → 108

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	138	963
1	354	754
2	1000	688
3	3003	671
done	5001	659

prune334.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
0.3b	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite286.0ms

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:

2.0ms	(sqrt (sqrt x))
14.0ms	(* y (sqrt (sqrt x)))
64.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
202.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series559.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(sqrt (sqrt x))
108.0ms	(* y (sqrt (sqrt x)))
162.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
77.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify4.9s

Counts

122 → 122

Iterations

Useful iterations: 3 (3.3s)

Iter	Nodes	Cost
0	188	1559
1	495	1234
2	1544	955
3	4999	932
done	5000	932

prune343.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

498.0ms	8358×	body	80	nan
474.0ms	8547×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid