Details

sample63.0ms

Algorithm

intervals

Results

20.0ms	270×	body	80	valid
13.0ms	273×	body	80	nan

simplify140.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

14.0ms

(* y (sqrt x))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* y (sqrt x))

simplify1.6s

Counts: 25 → 25

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite87.0ms

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:

2.0ms	(sqrt (sqrt x))
3.0ms	(sqrt (sqrt x))
21.0ms	(* y (sqrt (sqrt x)))
58.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(sqrt (sqrt x))
193.0ms	(sqrt (sqrt x))
124.0ms	(* y (sqrt (sqrt x)))
65.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify673.0ms

Counts: 100 → 100

prune304.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
41×	`add-exp-log`
33×	`*-un-lft-identity`
32×	`add-cube-cbrt`
29×	`unpow-prod-down` `times-frac`
26×	`associate-r`
19×	`prod-exp` `sqrt-prod`
13×	`pow-unpow`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-pow` `1-exp` `div-inv` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 129

Calls

4 calls:

8.0ms	(pow (/ 1 x) (/ -1 4))
2.0ms	(sqrt (sqrt x))
43.0ms	(* y (pow (/ 1 x) (/ -1 4)))
45.0ms	(* (* y (pow (/ 1 x) (/ -1 4))) (sqrt (sqrt x)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(pow (/ 1 x) (/ -1 4))
196.0ms	(sqrt (sqrt x))
98.0ms	(* y (pow (/ 1 x) (/ -1 4)))
102.0ms	(* (* y (pow (/ 1 x) (/ -1 4))) (sqrt (sqrt x)))

simplify1.1s

Counts: 141 → 141

prune534.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
46×	`sqrt-prod`
41×	`associate-r`
40×	`prod-exp`
35×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
20×	`add-cbrt-cube`
16×	`unpow-prod-down`
13×	`pow1`
12×	`pow-exp`
11×	`times-frac`
10×	`cbrt-unprod`
6×	`div-exp`
5×	`associate-l` `unswap-sqr`
4×	`sqrt-pow1` `pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `1-exp` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `sqr-pow`
1×	`div-inv`

Counts

4 → 124

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
38.0ms	(* y (pow (/ 1 x) (/ -1 4)))
199.0ms	(* (* (* y (pow (/ 1 x) (/ -1 4))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
68.0ms	(* (* y (pow (/ 1 x) (/ -1 4))) (sqrt (sqrt (sqrt x))))

series581.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(sqrt (sqrt x))
74.0ms	(* y (pow (/ 1 x) (/ -1 4)))
130.0ms	(* (* (* y (pow (/ 1 x) (/ -1 4))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
156.0ms	(* (* y (pow (/ 1 x) (/ -1 4))) (sqrt (sqrt (sqrt x))))

simplify1.2s

Counts: 136 → 136

prune569.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify103.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

444.0ms	8539×	body	80	valid
376.0ms	8527×	body	80	nan