Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

419×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	55	7
2	101	7
3	182	7
4	335	7
5	731	7
6	1828	7
7	5001	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize9.0ms

Local error

Found 2 expressions with local error:

4.9b	(- (+ (* x x) (* y y)) (* z z))
26.9b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite15.0ms

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:

5.0ms	(- (+ (* x x) (* y y)) (* z z))
9.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series120.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (+ (* x x) (* y y)) (* z z))
80.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	275	450
1	1168	388
2	5001	380

prune127.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 9.5b

localize11.0ms

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))
9.5b	(/ (pow x 2) y)
10.5b	(/ (pow z 2) y)

rewrite42.0ms

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:

9.0ms	(+ y (/ (pow x 2) y))
19.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms	(/ (pow x 2) y)
5.0ms	(/ (pow z 2) y)

series129.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ y (/ (pow x 2) y))
41.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
19.0ms	(/ (pow x 2) y)
23.0ms	(/ (pow z 2) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	419	838
1	1459	771
2	5001	759

prune325.0ms

Filtered

145 candidates to 92 candidates (63.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (pow x 2) y))
0.0b	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
0.2b	(/ z (/ y z))
9.5b	(/ (pow x 2) y)

rewrite50.0ms

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:

9.0ms	(+ y (/ (pow x 2) y))
25.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
5.0ms	(/ z (/ y z))
5.0ms	(/ (pow x 2) y)

series105.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ (pow x 2) y))
42.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
18.0ms	(/ z (/ y z))
19.0ms	(/ (pow x 2) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	602	1025
1	2749	949
2	5001	943

prune376.0ms

Filtered

164 candidates to 113 candidates (68.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

241×	`times-frac`
139×	`add-sqr-sqrt`
137×	`*-un-lft-identity`
130×	`add-cube-cbrt`
42×	`unpow-prod-down`
26×	`associate-/r*`
22×	`add-exp-log`
14×	`add-cbrt-cube` `div-inv` `sqr-pow`
12×	`div-exp`
11×	`add-log-exp`
10×	`associate-/l*`
6×	`cbrt-undiv`
4×	`pow1`
3×	`difference-of-squares`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `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 → 233

Calls

4 calls:

22.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
40.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ z (/ y z)))
8.0ms	(/ (pow x (/ 2 2)) (/ y x))
6.0ms	(/ z (/ y z))

series114.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
41.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ z (/ y z)))
25.0ms	(/ (pow x (/ 2 2)) (/ y x))
19.0ms	(/ z (/ y z))

simplify149.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	975	1784
1	4901	1582
2	5001	1582

prune510.0ms

Filtered

245 candidates to 142 candidates (58.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	20	8
2	20	8

end0.0ms

sample738.0ms

Algorithm

intervals

Results

464.0ms

13659×

body

valid