Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

12.0ms

(/ (- x y) (+ x y))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(/ (- x y) (+ x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	187	290
1	526	276
2	1771	276
3	5002	273

prune76.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 94

Calls

3 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
21.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ y (+ x y))
40.0ms	(/ x (+ x y))
73.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	260	536
1	791	515
2	2132	515
3	5001	515

prune178.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.0b	(/ x (+ x y))
0.1b	(pow (/ x (+ x y)) 3)
13.5b	(cbrt (pow (/ x (+ x y)) 3))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
71×	`times-frac`
54×	`cbrt-prod`
47×	`add-cube-cbrt`
40×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
14×	`difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`associate-/r*` `sqr-pow`
3×	`cube-div` `pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `frac-sub` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 169

Calls

4 calls:

44.0ms	(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) 3)
7.0ms	(cbrt (pow (/ x (+ x y)) 3))

series231.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
38.0ms	(/ x (+ x y))
77.0ms	(pow (/ x (+ x y)) 3)
43.0ms	(cbrt (pow (/ x (+ x y)) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	501	1198
1	2054	1083
2	5001	1073

prune256.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(cbrt (pow (log (exp (/ x (+ x y)))) 3))
0.1b	(pow (log (exp (/ x (+ x y)))) 3)
4.1b	(log (exp (/ x (+ x y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
95×	`log-pow`
90×	`exp-prod`
72×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
50×	`cbrt-prod`
44×	`unpow-prod-down` `cube-prod`
19×	`distribute-lft-out`
12×	`associate-/r/`
10×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv`
4×	`associate-/r*` `add-log-exp`
3×	`pow-unpow` `log-prod` `associate-/l*`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 183

Calls

4 calls:

5.0ms	(/ x (+ x y))
10.0ms	(cbrt (pow (log (exp (/ x (+ x y)))) 3))
9.0ms	(pow (log (exp (/ x (+ x y)))) 3)
7.0ms	(log (exp (/ x (+ x y))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ x (+ x y))
38.0ms	(cbrt (pow (log (exp (/ x (+ x y)))) 3))
75.0ms	(pow (log (exp (/ x (+ x y)))) 3)
42.0ms	(log (exp (/ x (+ x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	469	1067
1	1629	940
2	5001	906

prune314.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample290.0ms

Algorithm

intervals

Results

164.0ms

8000×

body

valid