Details

sample328.0ms

Algorithm

intervals

Results

214.0ms	793×	body	80	nan
12.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-l`
7×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/`
1×	`flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 34

Calls

1 calls:

47.0ms

(* (sqrt (- x 1.0)) (sqrt x))

series152.0ms

Counts

1 → 3

Calls

1 calls:

152.0ms

(* (sqrt (- x 1.0)) (sqrt x))

simplify3.1s

Counts

37 → 37

Iterations

Iter	Nodes
done	5002
4	4655
3	1353
2	489
1	190
0	83

prune216.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (+ 0.5 (/ 0.125 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`add-sqr-sqrt`
2×	`diff-log` `distribute-lft-out--`
1×	`pow1` `sum-log` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

1 → 17

Calls

1 calls:

23.0ms

(- x (+ 0.5 (/ 0.125 x)))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- x (+ 0.5 (/ 0.125 x)))

simplify1.3s

Counts

20 → 20

Iterations

Iter	Nodes
done	5003
3	1248
2	294
1	103
0	42

prune73.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

28.1b

(sqrt (* (- x 1.0) x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*l/`
1×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `pow1/2` `pow-prod-down` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `flip--` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

8.0ms

(sqrt (* (- x 1.0) x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(sqrt (* (- x 1.0) x))

simplify2.5s

Counts

16 → 16

Iterations

Iter	Nodes
done	5001
4	2225
3	690
2	263
1	114
0	51

prune53.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	24182×	body	80	nan
815.0ms	7985×	body	80	valid
1.0ms	15×	body	160	valid