Details

sample39.0ms

Algorithm

intervals

Results

25.0ms

470×

body

valid

simplify157.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

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

prune9.0ms

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)))
8.9b	(* x.im (* x.re 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×	`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)))
5.0ms	(* x.im (* x.re x.re))

series22.0ms

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))

simplify146.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (26.0ms)

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

prune88.0ms

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

localize13.0ms

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))

rewrite35.0ms

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:

13.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
8.0ms	(* (* x.im x.re) x.re)
11.0ms	(* 3 (* (* x.im x.re) x.re))

series28.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
6.0ms	(* (* x.im x.re) x.re)
11.0ms	(* 3 (* (* x.im x.re) x.re))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	218	293
1	1110	254
2	5002	251

prune82.0ms

Filtered

34 candidates to 60 candidates (-76.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

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))

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

series21.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (* (* 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))

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (37.0ms)

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

prune83.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	58	10	68

Merged error: 0.0b

Counts

68 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

16.0ms	(- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
5.0ms	(* (* x.im x.re) x.re)
13.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
7.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

series41.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
6.0ms	(* (* x.im x.re) x.re)
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
10.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	334	787
1	1688	594
2	5001	531

prune122.0ms

Filtered

49 candidates to 100 candidates (-104.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	101	9	110

Merged error: 0b

Counts

110 → 9

regimes120.0ms

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

sample980.0ms

Algorithm

intervals

Results

663.0ms

14482×

body

valid

Details

sample39.0ms

simplify157.0ms

prune9.0ms

localize7.0ms

rewrite21.0ms

series22.0ms

simplify146.0ms

prune88.0ms

localize13.0ms

rewrite35.0ms

series28.0ms

simplify39.0ms

prune82.0ms

localize7.0ms

rewrite19.0ms

series21.0ms

simplify42.0ms

prune83.0ms

localize10.0ms

rewrite44.0ms

series41.0ms

simplify59.0ms

prune122.0ms

regimes120.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample980.0ms

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