Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

339×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	3

prune1.0ms

Filtered

1 candidates to 0 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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 59

Calls

1 calls:

11.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	326	496
1	1518	343
2	5002	331

prune63.0ms

Filtered

62 candidates to 30 candidates (51.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	53	9	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	9	63

Merged error: 0.0b

Counts

63 → 9

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 1.0 y))
0.1b	(* y (* x (- 1.0 y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
48×	`*-un-lft-identity`
44×	`add-cube-cbrt`
24×	`associate-r`
9×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
6×	`sub-neg` `associate-*r/`
5×	`unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 127

Calls

2 calls:

7.0ms	(* x (- 1.0 y))
12.0ms	(* y (* x (- 1.0 y)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (- 1.0 y))
37.0ms	(* y (* x (- 1.0 y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	432	1161
1	2079	731
2	5001	707

prune96.0ms

Filtered

133 candidates to 52 candidates (60.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	135	7	142

Merged error: 0b

Counts

142 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
48×	`*-un-lft-identity`
44×	`add-cube-cbrt`
24×	`associate-r`
9×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
6×	`sub-neg` `associate-*r/`
5×	`unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 127

Calls

2 calls:

7.0ms	(* y (- 1.0 y))
12.0ms	(* x (* y (- 1.0 y)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* y (- 1.0 y))
44.0ms	(* x (* y (- 1.0 y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	432	1161
1	2051	731
2	5002	725

prune93.0ms

Filtered

133 candidates to 51 candidates (61.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	133	7	140

Merged error: 0b

Counts

140 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- (* 1.0 1.0) (* y y)))
3.6b	(* x (* y (- (* 1.0 1.0) (* y y))))
7.5b	(/ (* x (* y (- (* 1.0 1.0) (* y y)))) (+ 1.0 y))

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

1741×	`add-sqr-sqrt`
1350×	`prod-diff`
1177×	`*-un-lft-identity`
1135×	`distribute-rgt-in` `distribute-lft-in`
1023×	`associate-r`
987×	`add-cube-cbrt`
624×	`swap-sqr`
607×	`associate-l`
275×	`unswap-sqr`
263×	`*-commutative`
208×	`times-frac`
175×	`difference-of-squares`
53×	`distribute-lft-out`
52×	`associate-/l*`
35×	`distribute-lft-out--`
19×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `associate-*r/`
7×	`prod-exp` `cbrt-unprod`
6×	`sub-neg`
4×	`pow-prod-down` `associate-/r*`
3×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 1765

Calls

3 calls:

44.0ms	(* y (- (* 1.0 1.0) (* y y)))
70.0ms	(* x (* y (- (* 1.0 1.0) (* y y))))
99.0ms	(/ (* x (* y (- (* 1.0 1.0) (* y y)))) (+ 1.0 y))

series262.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* y (- (* 1.0 1.0) (* y y)))
75.0ms	(* x (* y (- (* 1.0 1.0) (* y y))))
112.0ms	(/ (* x (* y (- (* 1.0 1.0) (* y y)))) (+ 1.0 y))

simplify471.0ms

Algorithm

egg-herbie

Counts

1774 → 1774

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	3371	27055
1	5001	23218

prune530.0ms

Filtered

1774 candidates to 226 candidates (87.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1774	0	1774
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	1774	7	1781

Merged error: 0b

Counts

1781 → 7

regimes44.0ms

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

sample346.0ms

Algorithm

intervals

Results

191.0ms

10603×

body

valid