Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
9.0ms	256×	body	80	nan

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
3	13
2	11
1	7
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`

Counts

1 → 18

Calls

1 calls:

10.0ms

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

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

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

simplify1.7s

Counts

21 → 21

Iterations

Iter	Nodes
done	5003
3	2063
2	508
1	162
0	69

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (sqrt (- 1.0 (* x x))))
0.0b	(log (exp (sqrt (- 1.0 (* x x)))))
0.0b	(sqrt (- 1.0 (* x x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

14×	`exp-prod`
13×	`add-sqr-sqrt`
12×	`sqrt-prod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`log-pow`
5×	`pow1`
4×	`add-log-exp`
3×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `difference-of-squares`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `rem-log-exp` `flip--` `rem-exp-log`

Counts

3 → 56

Calls

3 calls:

11.0ms	(exp (sqrt (- 1.0 (* x x))))
13.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
6.0ms	(sqrt (- 1.0 (* x x)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(exp (sqrt (- 1.0 (* x x))))
58.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
61.0ms	(sqrt (- 1.0 (* x x)))

simplify1.7s

Counts

65 → 65

Iterations

Iter	Nodes
done	5003
3	2932
2	739
1	255
0	119

prune341.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
0.0b	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(sqrt (- 1.0 (* x x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
20×	`add-sqr-sqrt` `log-pow`
18×	`sqrt-pow1`
14×	`exp-prod` `*-un-lft-identity` `add-cube-cbrt`
12×	`log-prod`
10×	`pow1`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow1/2` `sqrt-div` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `flip3--` `rem-log-exp` `flip--`

Counts

4 → 88

Calls

4 calls:

12.0ms	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
17.0ms	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
6.0ms	(sqrt (- 1.0 (* x x)))
8.0ms	(sqrt (- 1.0 (* x x)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
261.0ms	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
59.0ms	(sqrt (- 1.0 (* x x)))
62.0ms	(sqrt (- 1.0 (* x x)))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5003
3	2323
2	623
1	237
0	121

prune498.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample811.0ms

Algorithm

intervals

Results

331.0ms	8000×	body	80	valid
204.0ms	8160×	body	80	nan