Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	272×	body	80	valid
7.0ms	260×	body	80	nan

simplify115.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 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)))
0.2b	(* y (sqrt x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

33.0ms	(+ (- 1.0 x) (* y (sqrt x)))
11.0ms	(* y (sqrt x))

series105.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (- 1.0 x) (* y (sqrt x)))
52.0ms	(* y (sqrt x))

simplify2.2s

Counts: 43 → 43

prune407.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

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×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

4.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
21.0ms	(* y (sqrt (sqrt x)))
71.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(sqrt (sqrt x))
209.0ms	(sqrt (sqrt x))
114.0ms	(* y (sqrt (sqrt x)))
71.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify804.0ms

Counts: 100 → 100

prune356.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow x 1/4))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
20×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`add-log-exp`
8×	`pow1`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unpow-prod-down` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `associate-+l+` `pow1/2` `pow-exp` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `flip-+` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

57.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
4.0ms	(sqrt (sqrt x))
23.0ms	(* y (sqrt (sqrt x)))
64.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

series543.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
206.0ms	(sqrt (sqrt x))
128.0ms	(* y (sqrt (sqrt x)))
127.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify1.0s

Counts: 96 → 96

prune346.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2))) (pow x (/ 1/4 2)))
0.3b	(* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2)))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
23×	`associate-r`
22×	`add-sqr-sqrt` `sqrt-prod`
20×	`add-cbrt-cube`
15×	`pow-to-exp` `pow-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
8×	`pow1`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `sqr-pow`
1×	`pow-prod-down`

Counts

4 → 109

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
15.0ms	(* y (sqrt (sqrt x)))
176.0ms	(* (* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2))) (pow x (/ 1/4 2)))
50.0ms	(* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(sqrt (sqrt x))
114.0ms	(* y (sqrt (sqrt x)))
107.0ms	(* (* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2))) (pow x (/ 1/4 2)))
164.0ms	(* (* y (sqrt (sqrt x))) (pow x (/ 1/4 2)))

simplify1.4s

Counts: 121 → 121

prune424.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify137.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

512.0ms	8526×	body	80	valid
395.0ms	8493×	body	80	nan
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid