Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

445×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	3

prune2.0ms

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

10.0ms

(* (+ x y) (+ x y))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* (+ x y) (+ x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	194	221
1	953	194
2	5002	180

prune58.0ms

Filtered

45 candidates to 21 candidates (46.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	2	46

Merged error: 0.0b

Counts

46 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (+ x y))
0.0b	(+ (* x (+ x y)) (* y (+ x y)))
0.0b	(* x (+ x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `sum-log`

Counts

3 → 73

Calls

3 calls:

6.0ms	(* y (+ x y))
7.0ms	(+ (* x (+ x y)) (* y (+ x y)))
6.0ms	(* x (+ x y))

series85.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* y (+ x y))
24.0ms	(+ (* x (+ x y)) (* y (+ x y)))
33.0ms	(* x (+ x y))

simplify76.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	371	403
1	2121	342
2	5001	336

prune138.0ms

Filtered

82 candidates to 57 candidates (69.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (+ x y))
0.0b	(fma y x (* y (+ x y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

6.0ms	(* y (+ x y))
1.0ms	(fma y x (* y (+ x y)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* y (+ x y))
50.0ms	(fma y x (* y (+ x y)))

simplify113.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	144	152
1	681	133
2	3466	129
3	5001	128

prune75.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (* x y))
0.1b	(* (+ x y) (+ (pow x 3) (pow y 3)))
0.7b	(+ (pow x 3) (pow y 3))
29.4b	(/ (* (+ x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
14×	`flip3-+` `flip-+`
13×	`add-sqr-sqrt`
12×	`fma-def`
11×	`add-exp-log` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `add-cbrt-cube` `distribute-lft-out`
9×	`associate-r`
8×	`frac-times` `associate-/l/` `add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `associate-r/` `associate-l` `associate-l/` `log1p-expm1-u`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `sum-cubes` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

4 → 118

Calls

4 calls:

4.0ms	(- (* y y) (* x y))
18.0ms	(* (+ x y) (+ (pow x 3) (pow y 3)))
12.0ms	(+ (pow x 3) (pow y 3))
23.0ms	(/ (* (+ x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

series213.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y y) (* x y))
55.0ms	(* (+ x y) (+ (pow x 3) (pow y 3)))
55.0ms	(+ (pow x 3) (pow y 3))
67.0ms	(/ (* (+ x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

simplify104.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	526	975
1	2998	848
2	5001	836

prune339.0ms

Filtered

130 candidates to 94 candidates (72.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	2	132

Merged error: 0b

Counts

132 → 2

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample423.0ms

Algorithm

intervals

Results

213.0ms

14056×

body

valid