Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

446×

body

valid

simplify769.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
3.3b	(- (+ (* x x) (* y y)) (* z z))
23.4b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite182.0ms

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:

8.0ms	(+ (* x x) (* y y))
58.0ms	(- (+ (* x x) (* y y)) (* z z))
114.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series176.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x x) (* y y))
45.0ms	(- (+ (* x x) (* y y)) (* z z))
101.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify560.0ms

Counts: 61 → 61

prune208.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 8.7b

localize26.0ms

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))
6.8b	(/ (pow z 2) y)
9.0b	(/ (pow x 2) y)

rewrite373.0ms

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:

31.0ms	(+ y (/ (pow x 2) y))
302.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
17.0ms	(/ (pow z 2) y)
18.0ms	(/ (pow x 2) y)

series133.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ y (/ (pow x 2) y))
47.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
25.0ms	(/ (pow z 2) y)
23.0ms	(/ (pow x 2) y)

simplify725.0ms

Counts: 145 → 145

prune469.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.9b

localize20.0ms

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) y))
0.2b	(/ (pow x (/ 2 2)) (/ y x))
6.8b	(/ (pow z 2) y)

rewrite750.0ms

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:

74.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
610.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
29.0ms	(/ (pow x (/ 2 2)) (/ y x))
19.0ms	(/ (pow z 2) y)

series161.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
61.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
24.0ms	(/ (pow x (/ 2 2)) (/ y x))
34.0ms	(/ (pow z 2) y)

simplify1.6s

Counts: 226 → 226

prune789.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

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

rewrite620.0ms

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:

50.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
507.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
19.0ms	(* z (/ z y))
24.0ms	(/ (pow x (/ 2 2)) (/ y x))

series178.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
63.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
34.0ms	(* z (/ z y))
37.0ms	(/ (pow x (/ 2 2)) (/ y x))

simplify1.8s

Counts: 202 → 202

prune607.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.3s

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s

13802×

body

valid