Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

345×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* x y) (- 1.0 y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (* x y) (- 1.0 y))

simplify29.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune39.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

5.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
10.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (- 1.0 y))
87.0ms	(cbrt (- 1.0 y))
84.0ms	(cbrt (- 1.0 y))
102.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	316	847
1	1010	807
2	4442	753
3	5001	749

prune245.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.2b	(* x (* y (- 1.0 y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

6.0ms	(* y (- 1.0 y))
7.0ms	(* x (* y (- 1.0 y)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* y (- 1.0 y))
48.0ms	(* x (* y (- 1.0 y)))

simplify33.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	198	252
1	861	214
2	5002	214

prune65.0ms

Filtered

60 candidates to 30 candidates (50.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	60	5	65

Merged error: 0.0b

Counts

65 → 5

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y y) (* 1.0 y))
1.9b	(* (* x y) (- (pow 1.0 3) (pow y 3)))
9.2b	(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
25×	`associate-r`
17×	`add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity` `difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
8×	`pow1` `sqr-pow`
6×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
5×	`distribute-lft-out--` `add-log-exp`
4×	`associate-*r/`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/r*`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`difference-cubes` `+-commutative` `distribute-rgt-out` `frac-2neg` `associate-l` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l`

Counts

3 → 85

Calls

3 calls:

4.0ms	(+ (* y y) (* 1.0 y))
17.0ms	(* (* x y) (- (pow 1.0 3) (pow y 3)))
21.0ms	(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series320.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (* y y) (* 1.0 y))
99.0ms	(* (* x y) (- (pow 1.0 3) (pow y 3)))
166.0ms	(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify96.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	570	822
1	3375	685
2	5001	679

prune188.0ms

Filtered

94 candidates to 59 candidates (62.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

regimes56.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample350.0ms

Algorithm

intervals

Results

191.0ms

10662×

body

valid