Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

478×

body

valid

simplify65.0ms

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: 7.4b

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)))
7.4b	(* x.im (* x.re x.re))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `unswap-sqr` `sqr-pow`

Counts

3 → 71

Calls

3 calls:

10.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
7.0ms	(* 3 (* x.im (* x.re x.re)))
5.0ms	(* x.im (* x.re x.re))

series121.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* 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))

simplify71.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	341	461
1	1599	389
2	5001	386

prune142.0ms

Filtered

80 candidates to 44 candidates (55.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

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))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

9.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
5.0ms	(* (* x.im x.re) x.re)
7.0ms	(* 3 (* (* 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	(* (* x.im x.re) x.re)
33.0ms	(* 3 (* (* x.im x.re) x.re))

simplify79.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	353	461
1	1898	388
2	5002	386

prune140.0ms

Filtered

79 candidates to 42 candidates (53.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

9.0ms	(- (* (* 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))

series108.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
36.0ms	(* (* 3 (* x.im x.re)) x.re)
20.0ms	(* 3 (* x.im x.re))

simplify84.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	353	457
1	1904	388
2	5002	386

prune135.0ms

Filtered

79 candidates to 41 candidates (51.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	80	8	88

Merged error: 0.0b

Counts

88 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* 3 (* x.im x.re)) x.re (- (pow x.im 3)))
0.3b	(* 3 (* x.im x.re))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (* 3 (* x.im x.re)) x.re (- (pow x.im 3)))
5.0ms	(* 3 (* x.im x.re))

series73.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify70.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	123	161
1	440	141
2	2348	141
3	5001	141

prune72.0ms

Filtered

36 candidates to 24 candidates (66.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	36	8	44

Merged error: 0.0b

Counts

44 → 8

regimes59.0ms

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	10	5
1	10	5

end0.0ms

sample749.0ms

Algorithm

intervals

Results

527.0ms

14474×

body

valid