Details

sample48.0ms

Algorithm

intervals

Results

24.0ms

432×

body

valid

simplify50.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize16.0ms

Local error

Found 2 expressions with local error:

5.2b	(- (+ (* x x) (* y y)) (* z z))
24.6b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

43.0ms	(- (+ (* x x) (* y y)) (* z z))
115.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series179.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (+ (* x x) (* y y)) (* z z))
117.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify37.0ms

Counts: 47 → 47

prune196.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.1b

localize22.0ms

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))
7.9b	(/ (pow x 2) y)
9.4b	(/ (pow z 2) y)

rewrite319.0ms

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:

256.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
27.0ms	(+ y (/ (pow x 2) y))
13.0ms	(/ (pow x 2) y)
14.0ms	(/ (pow z 2) y)

series167.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
41.0ms	(+ y (/ (pow x 2) y))
33.0ms	(/ (pow x 2) y)
30.0ms	(/ (pow z 2) y)

simplify44.0ms

Counts: 145 → 145

prune556.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
0.0b	(+ y (/ (pow x 2) y))
0.2b	(/ z (/ y z))
7.9b	(/ (pow x 2) y)

rewrite613.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
72×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
63×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`add-exp-log`
12×	`unpow-prod-down`
11×	`add-cbrt-cube` `associate-/l*` `add-log-exp`
6×	`div-exp` `div-inv`
4×	`pow1` `cbrt-undiv` `unpow2` `sqr-pow`
3×	`difference-of-squares`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-exp` `associate--l+` `associate-/r/` `flip--`

Counts

4 → 152

Calls

4 calls:

548.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
27.0ms	(+ y (/ (pow x 2) y))
12.0ms	(/ z (/ y z))
13.0ms	(/ (pow x 2) y)

series154.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
35.0ms	(+ y (/ (pow x 2) y))
30.0ms	(/ z (/ y z))
31.0ms	(/ (pow x 2) y)

simplify77.0ms

Counts: 164 → 164

prune594.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ x (/ y x))) (/ z (/ y z)))
0.0b	(+ y (/ x (/ y x)))
0.2b	(/ x (/ y x))
0.2b	(/ z (/ y z))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
97×	`add-sqr-sqrt`
95×	`*-un-lft-identity`
88×	`add-cube-cbrt`
26×	`associate-/r*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
10×	`div-inv`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`pow1`
3×	`difference-of-squares`
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 → 173

Calls

4 calls:

308.0ms	(- (+ y (/ x (/ y x))) (/ z (/ y z)))
29.0ms	(+ y (/ x (/ y x)))
9.0ms	(/ x (/ y x))
14.0ms	(/ z (/ y z))

series125.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (+ y (/ x (/ y x))) (/ z (/ y z)))
35.0ms	(+ y (/ x (/ y x)))
21.0ms	(/ x (/ y x))
23.0ms	(/ z (/ y z))

simplify73.0ms

Counts: 185 → 185

prune652.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes184.0ms

Accuracy

-4865.4% (7.2b remaining)

Error of 7.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify61.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

994.0ms

13729×

body

valid