Details

sample31.0ms

Algorithm

intervals

Results

21.0ms

458×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

Iter	Nodes	Cost
0	21	9
1	55	9
2	150	9
3	401	6
4	1088	5
5	2704	5
6	5001	5

prune7.0ms

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

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`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

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

series40.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* 3 (* x.im (* x.re x.im)))
20.0ms	(* x.im (* x.re x.im))

simplify88.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	151	179
1	581	143
2	3219	143
3	5001	142

prune68.0ms

Filtered

45 candidates to 21 candidates (46.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

6.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify113.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	135	118
1	621	90
2	3862	90
3	5001	90

prune32.0ms

Filtered

25 candidates to 10 candidates (40.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	25	7	32

Merged error: 0.0b

Counts

32 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

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-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

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

series41.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (* 3 x.im) x.re)
20.0ms	(* (* (* 3 x.im) x.re) x.im)

simplify37.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	172	179
1	1002	145
2	5002	145

prune60.0ms

Filtered

45 candidates to 21 candidates (46.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
32×	`add-cbrt-cube`
10×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`cbrt-prod` `associate-r` `*-commutative` `add-log-exp`

Counts

3 → 76

Calls

3 calls:

5.0ms	(* x.im (* x.re x.im))
14.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
7.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* x.im (* x.re x.im))
63.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
51.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

simplify41.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	267	594
1	1100	420
2	5002	367

prune95.0ms

Filtered

85 candidates to 36 candidates (42.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0b

Counts

92 → 8

regimes82.0ms

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

sample907.0ms

Algorithm

intervals

Results

682.0ms

14479×

body

valid