Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

505×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

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

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
0.1b	(* x.im (* x.re x.im))
0.2b	(* 3 (* x.im (* x.re x.im)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

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

series91.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
17.0ms	(* x.im (* x.re x.im))
24.0ms	(* 3 (* x.im (* x.re x.im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	292
1	846	253
2	5002	253

prune87.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

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

series74.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
21.0ms	(* (* 3 x.im) (* x.re x.im))

simplify38.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	193	231
1	907	200
2	5001	200

prune53.0ms

Filtered

40 candidates to 20 candidates (50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.2b	(* (* (* 3 x.im) x.re) x.im)
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`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
6.0ms	(* (* (* 3 x.im) x.re) x.im)
5.0ms	(* (* 3 x.im) x.re)

series91.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
23.0ms	(* (* (* 3 x.im) x.re) x.im)
19.0ms	(* (* 3 x.im) x.re)

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	230	290
1	1308	255
2	5001	255

prune82.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
0.1b	(* x.im (* x.re x.im))
0.3b	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
0.3b	(* (sqrt 3) (* x.im (* x.re x.im)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

11.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
5.0ms	(* x.im (* x.re x.im))
11.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
8.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
17.0ms	(* x.im (* x.re x.im))
82.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
53.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	288	589
1	1250	468
2	5001	454

prune122.0ms

Filtered

93 candidates to 48 candidates (51.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	2	1	3
Picked	0	1	1
Done	1	2	3
Total	93	7	100

Merged error: 0b

Counts

100 → 7

regimes73.0ms

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

sample730.0ms

Algorithm

intervals

Results

510.0ms

14354×

body

valid