Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
6.0ms	240×	body	80	nan

simplify14.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

6.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify964.0ms

Counts: 19 → 19

prune56.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

17.0ms	(exp (sqrt (- 1.0 (* x x))))
17.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
7.0ms	(sqrt (- 1.0 (* x x)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(exp (sqrt (- 1.0 (* x x))))
76.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
86.0ms	(sqrt (- 1.0 (* x x)))

simplify1.4s

Counts: 59 → 59

prune250.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

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)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

20.0ms	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
24.0ms	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
10.0ms	(sqrt (- 1.0 (* x x)))
11.0ms	(sqrt (- 1.0 (* x x)))

series696.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
269.0ms	(log (sqrt (exp (sqrt (- 1.0 (* x x))))))
101.0ms	(sqrt (- 1.0 (* x x)))
71.0ms	(sqrt (- 1.0 (* x x)))

simplify1.0s

Counts: 92 → 92

prune498.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

139.5% (-0.0b remaining)

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

bsearch0.0ms

simplify23.0ms

end0.0ms

sample972.0ms

Algorithm

intervals

Results

332.0ms	8000×	body	80	valid
285.0ms	8049×	body	80	nan