Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

491×

body

valid

simplify154.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	113	9
3	277	5
4	705	5
5	1571	5
6	4493	5
7	5002	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: 6.8b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.2b	(* 3 (* x.im (* x.re x.re)))
6.9b	(* x.im (* x.re x.re))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

8.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
7.0ms	(* 3 (* x.im (* x.re x.re)))
6.0ms	(* x.im (* x.re x.re))

series119.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
33.0ms	(* 3 (* x.im (* x.re x.re)))
33.0ms	(* x.im (* x.re x.re))

simplify157.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	205	293
1	839	254
2	4612	251
3	5001	251

prune106.0ms

Filtered

61 candidates to 36 candidates (59.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
0.2b	(* 3 (* (* x.im x.re) x.re))
0.2b	(* (* x.im x.re) x.re)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
10.0ms	(* 3 (* (* x.im x.re) x.re))
5.0ms	(* (* x.im x.re) x.re)

series115.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
32.0ms	(* 3 (* (* x.im x.re) x.re))
30.0ms	(* (* x.im x.re) x.re)

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	218	301
1	1106	256
2	5002	252

prune93.0ms

Filtered

60 candidates to 34 candidates (56.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.2b	(* (* 3 (* x.im x.re)) x.re)
0.2b	(* 3 (* x.im x.re))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
7.0ms	(* (* 3 (* x.im x.re)) x.re)
5.0ms	(* 3 (* x.im x.re))

series104.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
32.0ms	(* (* 3 (* x.im x.re)) x.re)
20.0ms	(* 3 (* x.im x.re))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	218	289
1	1116	254
2	5001	251

prune88.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
0.2b	(* (* x.im x.re) x.re)
0.3b	(* (sqrt 3) (* (* x.im x.re) x.re))
0.3b	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod` `add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 81

Calls

4 calls:

12.0ms	(- (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
5.0ms	(* (* x.im x.re) x.re)
8.0ms	(* (sqrt 3) (* (* x.im x.re) x.re))
14.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
29.0ms	(* (* x.im x.re) x.re)
65.0ms	(* (sqrt 3) (* (* x.im x.re) x.re))
99.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	297	582
1	1622	457
2	5001	452

prune140.0ms

Filtered

93 candidates to 52 candidates (55.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	4	4
Picked	0	1	1
Done	1	2	3
Total	93	8	101

Merged error: 0b

Counts

101 → 8

regimes61.0ms

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

sample731.0ms

Algorithm

intervals

Results

516.0ms

14401×

body

valid