Details

sample33.0ms

Algorithm

intervals

Results

21.0ms

473×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	23	8
1	56	7
2	129	7
3	353	5
4	948	5
5	2260	5
6	5001	5

prune6.0ms

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: 5.6b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 3 (* x.im (* x.re x.re)))
5.6b	(* x.im (* x.re x.re))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 44

Calls

2 calls:

7.0ms	(* 3 (* x.im (* x.re x.re)))
5.0ms	(* x.im (* x.re x.re))

series65.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* 3 (* x.im (* x.re x.re)))
34.0ms	(* x.im (* x.re x.re))

simplify84.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	156	197
1	594	161
2	2921	161
3	5001	161

prune90.0ms

Filtered

50 candidates to 30 candidates (60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x.im x.re) x.re)
0.2b	(* 3 (* (* x.im x.re) x.re))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 43

Calls

2 calls:

5.0ms	(* (* x.im x.re) x.re)
7.0ms	(* 3 (* (* x.im x.re) x.re))

series66.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (* x.im x.re) x.re)
32.0ms	(* 3 (* (* x.im x.re) x.re))

simplify34.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	169	195
1	861	159
2	5002	159

prune74.0ms

Filtered

49 candidates to 28 candidates (57.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	47	8	55

Merged error: 0.0b

Counts

55 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 3 (* x.im x.re)) x.re)
0.2b	(* 3 (* x.im x.re))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 43

Calls

2 calls:

6.0ms	(* (* 3 (* x.im x.re)) x.re)
5.0ms	(* 3 (* x.im x.re))

series56.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (* 3 (* x.im x.re)) x.re)
19.0ms	(* 3 (* x.im x.re))

simplify35.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	169	191
1	855	159
2	5001	159

prune70.0ms

Filtered

49 candidates to 27 candidates (55.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x.im x.re) x.re)
0.2b	(* (sqrt 3) (* (* x.im x.re) x.re))
0.3b	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
5×	`associate-r`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

3 → 75

Calls

3 calls:

5.0ms	(* (* x.im x.re) x.re)
7.0ms	(* (sqrt 3) (* (* x.im x.re) x.re))
11.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))

series390.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (* x.im x.re) x.re)
66.0ms	(* (sqrt 3) (* (* x.im x.re) x.re))
296.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	250	452
1	1349	353
2	5002	353

prune120.0ms

Filtered

84 candidates to 47 candidates (56.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	2	2	4
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes48.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample897.0ms

Algorithm

intervals

Results

665.0ms

14487×

body

valid