Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	88×	body	80	nan

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
19.6b	(sqrt (+ (* x x) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

8.0ms	(+ (* x x) y)
10.0ms	(sqrt (+ (* x x) y))

series73.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x x) y)
52.0ms	(sqrt (+ (* x x) y))

simplify63.0ms

Counts: 32 → 32

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

6.0ms

(+ x (* 1/2 (/ y x)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ x (* 1/2 (/ y x)))

simplify90.0ms

Counts: 14 → 14

prune25.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

6.0ms

(+ x (* 1/2 (/ y x)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ x (* 1/2 (/ y x)))

simplify91.0ms

Counts: 14 → 14

prune23.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) y)
6.4b	(- (pow x 4) (pow y 2))
19.6b	(sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
37.0b	(/ (- (pow x 4) (pow y 2)) (- (* x x) y))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

224×	`add-sqr-sqrt`
154×	`difference-of-squares`
129×	`times-frac`
70×	`unpow-prod-down` `sqrt-prod` `sqr-pow`
67×	`*-un-lft-identity`
47×	`add-cube-cbrt`
30×	`unpow2`
16×	`associate-/l*`
10×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `flip--`
4×	`associate-/r*` `associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 221

Calls

4 calls:

11.0ms	(- (* x x) y)
19.0ms	(- (pow x 4) (pow y 2))
47.0ms	(sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
67.0ms	(/ (- (pow x 4) (pow y 2)) (- (* x x) y))

series282.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* x x) y)
68.0ms	(- (pow x 4) (pow y 2))
108.0ms	(sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
72.0ms	(/ (- (pow x 4) (pow y 2)) (- (* x x) y))

simplify75.0ms

Counts: 233 → 233

prune721.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes202.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.5b

bsearch58.0ms

Steps

Iters	Range		Point
9	4.0173081178841834e+114	1.1119390584103905e+121	1.0903074599389374e+121
5	-1.4687372160214135e+154	-4.173797724877608e+153	-1.3524506670186534e+154

simplify5.0ms

end0.0ms

sample702.0ms

Algorithm

intervals

Results

283.0ms	8000×	body	80	valid
90.0ms	2711×	body	80	nan