Details

sample676.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 42.810059%

Guaranteed chance to sample good point: 94.578442%

Results

12.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify159.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

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

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 9.1b

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)))
9.9b	(* x.im (* x.re x.re))

rewrite20.0ms

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:

7.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
6.0ms	(* 3 (* x.im (* x.re x.re)))
5.0ms	(* x.im (* x.re x.re))

series23.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* 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))

simplify152.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (28.0ms)

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

prune84.0ms

Filtered

36 candidates to 61 candidates (-69.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	56	7	63

Merged error: 0.1b

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

rewrite19.0ms

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:

7.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
5.0ms	(* (* x.im x.re) x.re)
6.0ms	(* 3 (* (* x.im x.re) x.re))

series23.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
7.0ms	(* (* x.im x.re) x.re)
7.0ms	(* 3 (* (* 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	293
1	1110	254
2	5002	251

prune76.0ms

Filtered

34 candidates to 60 candidates (-76.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Merged error: 0b

Counts

67 → 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	(* 3 (* x.im x.re))

rewrite20.0ms

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:

7.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
6.0ms	(* (* 3 (* x.im x.re)) x.re)
5.0ms	(* 3 (* x.im x.re))

series20.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
7.0ms	(* (* 3 (* x.im x.re)) x.re)
3.0ms	(* 3 (* x.im x.re))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (39.0ms)

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

prune73.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	60	7	67

Merged error: 0b

Counts

67 → 7

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

rewrite37.0ms

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:

10.0ms	(- (* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re) (pow x.im 3))
10.0ms	(* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re)
5.0ms	(* (sqrt 3) (* x.im x.re))
9.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re) (pow x.im 3))
12.0ms	(* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re)
5.0ms	(* (sqrt 3) (* x.im x.re))
8.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	301	578
1	1560	450
2	5001	437

prune103.0ms

Filtered

52 candidates to 93 candidates (-78.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Merged error: 0b

Counts

100 → 7

regimes146.0ms

Accuracy

0% (0.1b 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

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 42.810059%

Guaranteed chance to sample good point: 94.578442%

Results

374.0ms	8000×	body	80	valid
11.0ms	229×	body	80	invalid

Details

sample676.0ms

simplify159.0ms

prune10.0ms

localize7.0ms

rewrite20.0ms

series23.0ms

simplify152.0ms

prune84.0ms

localize7.0ms

rewrite19.0ms

series23.0ms

simplify42.0ms

prune76.0ms

localize7.0ms

rewrite20.0ms

series20.0ms

simplify44.0ms

prune73.0ms

localize9.0ms

rewrite37.0ms

series37.0ms

simplify61.0ms

prune103.0ms

regimes146.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling