Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

420×

body

valid

simplify44.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
3.3b	(- (+ (* x x) (* y y)) (* z z))
27.1b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite145.0ms

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))
42.0ms	(- (+ (* x x) (* y y)) (* z z))
93.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series200.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (* x x) (* y y))
68.0ms	(- (+ (* x x) (* y y)) (* z z))
103.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify33.0ms

Counts: 61 → 61

prune153.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 8.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
0.0b	(+ y (/ (pow x 2) y))
9.3b	(/ (pow x 2) y)
10.1b	(/ (pow z 2) y)

rewrite214.0ms

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:

167.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
22.0ms	(+ y (/ (pow x 2) y))
9.0ms	(/ (pow x 2) y)
9.0ms	(/ (pow z 2) y)

series112.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
28.0ms	(+ y (/ (pow x 2) y))
19.0ms	(/ (pow x 2) y)
19.0ms	(/ (pow z 2) y)

simplify40.0ms

Counts: 145 → 145

prune349.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
0.0b	(+ y (/ (pow x (/ 2 2)) (/ y x)))
0.1b	(/ (pow x (/ 2 2)) (/ y x))
10.1b	(/ (pow z 2) y)

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

191×	`times-frac`
117×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
105×	`add-cube-cbrt`
55×	`unpow-prod-down`
22×	`add-exp-log`
19×	`sqr-pow`
16×	`associate-/r*`
15×	`associate-/l*`
12×	`div-exp`
11×	`add-cbrt-cube` `add-log-exp`
10×	`div-inv`
5×	`unpow2` `difference-of-squares`
4×	`pow1` `cbrt-undiv`
3×	`pow-to-exp` `pow-exp`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `associate-/r/` `flip--`

Counts

4 → 214

Calls

4 calls:

389.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
61.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
31.0ms	(/ (pow x (/ 2 2)) (/ y x))
10.0ms	(/ (pow z 2) y)

series115.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
32.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
20.0ms	(/ (pow x (/ 2 2)) (/ y x))
20.0ms	(/ (pow z 2) y)

simplify102.0ms

Counts: 226 → 226

prune463.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))) (/ (pow z (/ 2 2)) (/ y z)))
0.1b	(/ (pow x (/ 2 2)) (/ y x))
0.2b	(/ (pow z (/ 2 2)) (/ y z))

rewrite496.0ms

Algorithm

rewrite-expression-head

Rules

335×	`times-frac`
193×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
172×	`add-cube-cbrt`
86×	`unpow-prod-down`
30×	`add-exp-log` `sqr-pow`
26×	`associate-/r*`
18×	`div-exp` `div-inv`
14×	`add-cbrt-cube` `associate-/l*`
11×	`add-log-exp`
7×	`difference-of-squares`
6×	`cbrt-undiv`
4×	`pow1` `pow-to-exp` `pow-exp`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `associate-/r/` `frac-sub` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 297

Calls

4 calls:

39.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
412.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z (/ 2 2)) (/ y z)))
14.0ms	(/ (pow x (/ 2 2)) (/ y x))
14.0ms	(/ (pow z (/ 2 2)) (/ y z))

series118.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
44.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z (/ 2 2)) (/ y z)))
25.0ms	(/ (pow x (/ 2 2)) (/ y x))
20.0ms	(/ (pow z (/ 2 2)) (/ y z))

simplify55.0ms

Counts: 309 → 309

prune638.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

846.0ms

13842×

body

valid