Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
4.0ms	272×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	7	6
2	11	6
done	11	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:

3.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify947.0ms

Counts

19 → 19

Iterations

Useful iterations: 3 (210.0ms)

Iter	Nodes	Cost
0	67	246
1	155	222
2	510	206
3	2529	202
done	5001	202

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)))

rewrite16.0ms

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:

6.0ms	(exp (sqrt (- 1.0 (* x x))))
6.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
3.0ms	(sqrt (- 1.0 (* x x)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(exp (sqrt (- 1.0 (* x x))))
56.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
59.0ms	(sqrt (- 1.0 (* x x)))

simplify1.3s

Counts

59 → 59

Iterations

Useful iterations: 3 (314.0ms)

Iter	Nodes	Cost
0	113	736
1	237	645
2	764	593
3	3885	577
done	5000	577

prune147.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

7.0ms	(sqrt (+ (sqrt 1.0) x))
1.0ms	(log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))))
7.0ms	(sqrt (- (sqrt 1.0) x))
36.0ms	(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (+ (sqrt 1.0) x))
126.0ms	(log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))))
63.0ms	(sqrt (- (sqrt 1.0) x))
130.0ms	(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))

simplify2.1s

Counts

102 → 102

Iterations

Useful iterations: 3 (472.0ms)

Iter	Nodes	Cost
0	161	1669
1	338	1429
2	1119	1371
3	4995	1343
done	5000	1343

prune277.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample416.0ms

Algorithm

intervals

Results

134.0ms	8000×	body	80	valid
116.0ms	8067×	body	80	nan