Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

350×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	41	3
2	72	3
3	81	3
4	81	3

prune4.0ms

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

rewrite10.0ms

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×	`associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `fma-def` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* 2.0 (+ (* x x) (* x y)))
29.0ms	(+ (* x x) (* x y))

simplify37.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	199	227
1	1011	198
2	5001	191

prune70.0ms

Filtered

46 candidates to 36 candidates (78.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Merged error: 0.0b

Counts

47 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

7.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	170	125
1	944	105
2	5001	105

prune27.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-exp-log`
41×	`add-sqr-sqrt`
38×	`add-cbrt-cube`
34×	`prod-diff`
33×	`prod-exp`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
21×	`distribute-rgt-in` `distribute-lft-in`
19×	`associate-r`
16×	`div-exp`
15×	`cbrt-unprod`
14×	`associate-l`
11×	`unpow-prod-down` `associate-*r/`
8×	`pow1` `cbrt-undiv`
6×	`unswap-sqr`
5×	`pow-to-exp` `flip3--` `pow-exp` `flip--` `unpow2` `difference-of-squares` `sqr-pow`
4×	`expm1-log1p-u` `sub-neg` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`times-frac` `pow-prod-down` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l` `distribute-lft-out--`

Counts

4 → 169

Calls

4 calls:

14.0ms	(* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))
7.0ms	(* x (- x y))
9.0ms	(* (pow x 2) (- (pow x 2) (* y y)))
15.0ms	(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))
35.0ms	(* x (- x y))
56.0ms	(* (pow x 2) (- (pow x 2) (* y y)))
74.0ms	(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))

simplify139.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	677	1676
1	4121	1280
2	5002	1272

prune231.0ms

Filtered

181 candidates to 92 candidates (50.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	182	2	184

Merged error: 0b

Counts

184 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (fma y x (pow x 2)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

4.0ms

(* 2.0 (fma y x (pow x 2)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* 2.0 (fma y x (pow x 2)))

simplify53.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	89	119
1	370	102
2	1850	102
3	5003	102

prune36.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Merged error: 0b

Counts

27 → 2

regimes27.0ms

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

sample391.0ms

Algorithm

intervals

Results

230.0ms

11027×

body

valid