Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

368×

body

valid

simplify15.0ms

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

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 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-l/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

7.0ms	(* (* x (- x y)) 2.0)
7.0ms	(* x (- x y))

series107.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* (* x (- x y)) 2.0)
39.0ms	(* x (- x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	268	469
1	1243	316
2	5001	310

prune89.0ms

Filtered

74 candidates to 36 candidates (48.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Merged error: 0.0b

Counts

76 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

8.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	144	117
1	558	95
2	3176	95
3	5002	95

prune42.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

27 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

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

series84.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* 2.0 (- (* x x) (* x y)))
32.0ms	(- (* x x) (* x y))

simplify134.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	182	265
1	836	234
2	4713	230
3	5001	230

prune87.0ms

Filtered

52 candidates to 38 candidates (73.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	52	2	54

Merged error: 0b

Counts

54 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

3.0ms	(* 2.0 (fma x x (- (* x y))))
1.0ms	(fma x x (- (* x y)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* 2.0 (fma x x (- (* x y))))
43.0ms	(fma x x (- (* x y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	101	204
1	434	169
2	2591	165
3	5001	162

prune72.0ms

Filtered

38 candidates to 30 candidates (78.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Merged error: 0b

Counts

40 → 2

regimes20.0ms

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

sample404.0ms

Algorithm

intervals

Results

236.0ms

11164×

body

valid