Details

sample103.0ms

Algorithm

intervals

Results

39.0ms	293×	body	160	nan
20.0ms	539×	body	80	nan
12.0ms	256×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) 1.0)
0.0b	(+ x (sqrt (- (* x x) 1.0)))
30.1b	(sqrt (- (* x x) 1.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
6×	`*-un-lft-identity`
4×	`pow1` `add-cube-cbrt` `sqrt-prod`
3×	`add-cbrt-cube` `add-exp-log`
2×	`flip3--` `sqrt-div` `flip--` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sub-neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `flip-+` `distribute-lft-out`

Counts

3 → 41

Calls

3 calls:

6.0ms	(- (* x x) 1.0)
14.0ms	(+ x (sqrt (- (* x x) 1.0)))
8.0ms	(sqrt (- (* x x) 1.0))

series197.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* x x) 1.0)
75.0ms	(+ x (sqrt (- (* x x) 1.0)))
63.0ms	(sqrt (- (* x x) 1.0))

simplify864.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
2	975
1	241
0	98

prune330.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x (sqrt 1.0)))
0.0b	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.5b	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`sqrt-prod`
14×	`*-un-lft-identity` `sqrt-div`
9×	`associate-r`
8×	`pow1` `add-cube-cbrt`
7×	`associate-l`
5×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `add-log-exp`
4×	`frac-times` `unswap-sqr`
3×	`sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `flip--`
2×	`associate-l/` `associate-r/` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 69

Calls

3 calls:

19.0ms	(sqrt (+ x (sqrt 1.0)))
8.0ms	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
48.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series627.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(sqrt (+ x (sqrt 1.0)))
216.0ms	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
301.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify1.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1629
1	421
0	175

prune464.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	16548×	body	80	nan
809.0ms	7742×	body	160	nan
584.0ms	8000×	body	80	valid