Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

350×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	33	3
2	73	3
3	112	3
4	129	3
5	131	3
6	131	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* x y))
0.0b	(* 2.0 (- (* x x) (* x y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

4.0ms	(- (* x x) (* x y))
6.0ms	(* 2.0 (- (* x x) (* x y)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- (* x x) (* x y))
50.0ms	(* 2.0 (- (* x x) (* x y)))

simplify146.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	182	265
1	814	234
2	4686	230
3	5001	230

prune73.0ms

Filtered

52 candidates to 38 candidates (73.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	2	53

Merged error: 0b

Counts

53 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 2.0 x) (- x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

8.0ms

(* (* 2.0 x) (- x y))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (* 2.0 x) (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	297	433
1	1306	284
2	5001	272

prune38.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	2	51

Merged error: 0b

Counts

51 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y))))
0.0b	(fma x x (* x y))
10.2b	(* (pow x 2) (- (pow x 2) (* y y)))
27.2b	(/ (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log`
26×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
14×	`associate-r` `prod-exp`
11×	`unpow-prod-down` `associate-l`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`div-exp`
6×	`pow1` `times-frac` `cbrt-unprod`
5×	`associate-*r/` `unpow2` `unswap-sqr` `sqr-pow`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`pow-to-exp` `pow-exp` `associate-/r*`
2×	`sub-neg` `flip3--` `*-commutative` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `fma-udef` `associate-/l*`

Counts

4 → 123

Calls

4 calls:

10.0ms	(* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y))))
1.0ms	(fma x x (* x y))
10.0ms	(* (pow x 2) (- (pow x 2) (* y y)))
11.0ms	(/ (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y))))
34.0ms	(fma x x (* x y))
53.0ms	(* (pow x 2) (- (pow x 2) (* y y)))
89.0ms	(/ (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	474	1215
1	2367	1035
2	5001	1031

prune217.0ms

Filtered

135 candidates to 82 candidates (60.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	135	2	137

Merged error: 0b

Counts

137 → 2

regimes25.0ms

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	8	3
1	8	3

end0.0ms

sample399.0ms

Algorithm

intervals

Results

232.0ms

11027×

body

valid