Details

sample50.0ms

Algorithm

intervals

Results

25.0ms

431×

body

valid

simplify754.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
4.3b	(- (+ (* x x) (* y y)) (* z z))
25.8b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`pow1` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `diff-log` `div-exp` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `flip3-+` `div-sub` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv`

Counts

3 → 52

Calls

3 calls:

9.0ms	(+ (* x x) (* y y))
51.0ms	(- (+ (* x x) (* y y)) (* z z))
117.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series169.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x x) (* y y))
47.0ms	(- (+ (* x x) (* y y)) (* z z))
87.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify641.0ms

Counts: 61 → 61

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 11.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (pow x 2) y))
0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.2b	(/ (pow z 2) y)
9.7b	(/ (pow x 2) y)

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
50×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
38×	`add-cube-cbrt`
25×	`unpow-prod-down`
16×	`associate-/l*`
14×	`add-exp-log`
11×	`add-log-exp`
9×	`unpow2` `sqr-pow`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
5×	`difference-of-squares`
4×	`pow1`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 133

Calls

4 calls:

27.0ms	(+ y (/ (pow x 2) y))
245.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
14.0ms	(/ (pow z 2) y)
14.0ms	(/ (pow x 2) y)

series154.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ y (/ (pow x 2) y))
56.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
27.0ms	(/ (pow z 2) y)
31.0ms	(/ (pow x 2) y)

simplify568.0ms

Counts: 145 → 145

prune451.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (pow x 2) y))
0.0b	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
0.1b	(* z (/ z y))
9.7b	(/ (pow x 2) y)

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `times-frac`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`associate-r`
12×	`unpow-prod-down`
11×	`add-cbrt-cube` `add-log-exp`
8×	`associate-/l*`
6×	`pow1`
4×	`div-exp` `unpow2` `sqr-pow`
3×	`associate-r/` `associate-l` `associate-/r`
2×	`cbrt-undiv` `flip3-+` `diff-log` `prod-exp` `sum-log` `frac-sub` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `pow-prod-down` `pow-exp` `associate--l+` `clear-num` `*-commutative` `flip--` `distribute-lft-out`

Counts

4 → 109

Calls

4 calls:

18.0ms	(+ y (/ (pow x 2) y))
197.0ms	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
17.0ms	(* z (/ z y))
9.0ms	(/ (pow x 2) y)

series115.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ (pow x 2) y))
43.0ms	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
23.0ms	(* z (/ z y))
20.0ms	(/ (pow x 2) y)

simplify826.0ms

Counts: 121 → 121

prune337.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (pow x (/ 2 2)) (/ y x)))
0.0b	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
0.1b	(* z (/ z y))
0.2b	(/ (pow x (/ 2 2)) (/ y x))

rewrite582.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
101×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
96×	`add-cube-cbrt`
42×	`unpow-prod-down`
22×	`add-exp-log`
14×	`add-cbrt-cube` `sqr-pow`
13×	`associate-r` `associate-/r*`
11×	`add-log-exp`
10×	`div-exp` `div-inv`
7×	`associate-/l*`
6×	`pow1`
4×	`cbrt-undiv`
3×	`associate-r/` `associate-l*`
2×	`pow-to-exp` `flip3-+` `diff-log` `pow-exp` `prod-exp` `sum-log` `frac-sub` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `pow-prod-down` `associate--l+` `clear-num` `associate-/r/` `*-commutative` `flip--` `distribute-lft-out`

Counts

4 → 190

Calls

4 calls:

59.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
473.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
15.0ms	(* z (/ z y))
20.0ms	(/ (pow x (/ 2 2)) (/ y x))

series156.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
62.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
34.0ms	(* z (/ z y))
30.0ms	(/ (pow x (/ 2 2)) (/ y x))

simplify1.4s

Counts: 202 → 202

prune473.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify446.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s

13860×

body

valid