Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

434×

body

valid

simplify60.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
3.4b	(- (+ (* x x) (* y y)) (* z z))
23.9b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite19.0ms

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:

4.0ms	(+ (* x x) (* y y))
6.0ms	(- (+ (* x x) (* y y)) (* z z))
9.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series147.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (* x x) (* y y))
40.0ms	(- (+ (* x x) (* y y)) (* z z))
81.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	337	520
1	1492	454
2	5001	446

prune155.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 9.3b

localize13.0ms

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))
8.6b	(/ (pow z 2) y)
9.2b	(/ (pow x 2) y)

rewrite44.0ms

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 z 2) y)
5.0ms	(/ (pow x 2) y)

series105.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ (pow x 2) y))
38.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
22.0ms	(/ (pow z 2) y)
18.0ms	(/ (pow x 2) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (39.0ms)

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

prune343.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ x (/ y x)))
0.0b	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.2b	(/ x (/ y x))
8.6b	(/ (pow z 2) y)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

103×	`times-frac`
75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
63×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`add-exp-log`
13×	`unpow-prod-down`
11×	`add-cbrt-cube` `associate-/l*` `add-log-exp`
6×	`div-exp` `div-inv`
5×	`unpow2` `difference-of-squares` `sqr-pow`
4×	`pow1` `cbrt-undiv`
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 → 154

Calls

4 calls:

15.0ms	(+ y (/ x (/ y x)))
23.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
6.0ms	(/ x (/ y x))
5.0ms	(/ (pow z 2) y)

series106.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ x (/ y x)))
43.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
18.0ms	(/ x (/ y x))
18.0ms	(/ (pow z 2) y)

simplify82.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	605	1049
1	2708	969
2	5001	963

prune399.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

247×	`times-frac`
151×	`add-sqr-sqrt`
137×	`*-un-lft-identity`
130×	`add-cube-cbrt`
44×	`unpow-prod-down`
26×	`associate-/r*`
22×	`add-exp-log`
16×	`sqr-pow`
14×	`add-cbrt-cube` `div-inv`
12×	`div-exp`
11×	`add-log-exp`
10×	`associate-/l*`
7×	`difference-of-squares`
6×	`cbrt-undiv`
4×	`pow1`
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 → 237

Calls

4 calls:

16.0ms	(+ y (/ x (/ y x)))
41.0ms	(- (+ y (/ x (/ y x))) (/ (pow z (/ 2 2)) (/ y z)))
8.0ms	(/ (pow z (/ 2 2)) (/ y z))
6.0ms	(/ x (/ y x))

series109.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ x (/ y x)))
44.0ms	(- (+ y (/ x (/ y x))) (/ (pow z (/ 2 2)) (/ y z)))
19.0ms	(/ (pow z (/ 2 2)) (/ y z))
19.0ms	(/ x (/ y x))

simplify153.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	995	1833
1	4944	1630
2	5001	1630

prune496.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	19	8
2	19	8

end0.0ms

sample740.0ms

Algorithm

intervals

Results

460.0ms

13668×

body

valid