Details

sample35.0ms

Algorithm

intervals

Results

24.0ms

448×

body

valid

simplify154.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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

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: 7.6b

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)))
7.9b	(* 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))

series113.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
34.0ms	(* 3 (* x.im (* x.re x.re)))
29.0ms	(* x.im (* x.re x.re))

simplify156.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (30.0ms)

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

prune103.0ms

Filtered

61 candidates to 36 candidates (59.0%)

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

rewrite22.0ms

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:

10.0ms	(- (* 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)

series111.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
31.0ms	(* 3 (* (* x.im x.re) x.re))
28.0ms	(* (* x.im x.re) x.re)

simplify41.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

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

prune91.0ms

Filtered

60 candidates to 34 candidates (56.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 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`
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)
7.0ms	(* 3 (* x.im x.re))

series102.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
31.0ms	(* (* 3 (* x.im x.re)) x.re)
19.0ms	(* 3 (* x.im x.re))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (40.0ms)

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

prune88.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

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

rewrite46.0ms

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:

14.0ms	(- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
14.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
5.0ms	(* (* x.im x.re) x.re)
10.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

series278.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
85.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
29.0ms	(* (* x.im x.re) x.re)
69.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (52.0ms)

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

prune135.0ms

Filtered

100 candidates to 49 candidates (49.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	99	10	109

Merged error: 0b

Counts

109 → 10

regimes99.0ms

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

sample943.0ms

Algorithm

intervals

Results

700.0ms

14484×

body

valid

Details

sample35.0ms

simplify154.0ms

prune6.0ms

localize7.0ms

rewrite21.0ms

series113.0ms

simplify156.0ms

prune103.0ms

localize7.0ms

rewrite22.0ms

series111.0ms

simplify41.0ms

prune91.0ms

localize7.0ms

rewrite22.0ms

series102.0ms

simplify45.0ms

prune88.0ms

localize10.0ms

rewrite46.0ms

series278.0ms

simplify61.0ms

prune135.0ms

regimes99.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample943.0ms

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