Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

452×

body

valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5149	11

prune8.0ms

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

4.0ms	(* x.re (* x.im 3))
6.0ms	(* x.re (* x.re (* x.im 3)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* x.re (* x.im 3))
4.0ms	(* x.re (* x.re (* x.im 3)))

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5203	305

prune62.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 0.0b

Counts

47 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

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

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x.re (* (* x.re x.im) 3))
3.0ms	(* (* x.re x.im) 3)

simplify33.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5058	308

prune58.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x.re (* x.re x.im))
0.1b	(* (* x.re (* x.re x.im)) 3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

4.0ms	(* x.re (* x.re x.im))
6.0ms	(* (* x.re (* x.re x.im)) 3)

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* x.re (* x.re x.im))
4.0ms	(* (* x.re (* x.re x.im)) 3)

simplify55.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4956	308
1	4956	308

prune56.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Merged error: 0b

Counts

52 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x.im (* (cbrt 3) (cbrt 3)))
0.2b	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))
0.2b	(* x.re (* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
0.3b	(* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1` `add-exp-log`
36×	`add-cbrt-cube`
34×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`*-commutative` `add-log-exp`
3×	`cbrt-prod`
1×	`unswap-sqr`

Counts

4 → 94

Calls

4 calls:

7.0ms	(* x.im (* (cbrt 3) (cbrt 3)))
9.0ms	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))
16.0ms	(* x.re (* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
12.0ms	(* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3))

series32.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x.im (* (cbrt 3) (cbrt 3)))
8.0ms	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))
8.0ms	(* x.re (* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
8.0ms	(* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4985	787
1	4985	787

prune116.0ms

Filtered

54 candidates to 106 candidates (-96.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	106	8	114

Merged error: 0b

Counts

114 → 8

regimes104.0ms

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	11
1	11	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

672.0ms

14520×

body

valid

Details

sample39.0ms

simplify101.0ms

prune8.0ms

localize7.0ms

rewrite12.0ms

series7.0ms

simplify39.0ms

prune62.0ms

localize9.0ms

rewrite12.0ms

series7.0ms

simplify33.0ms

prune58.0ms

localize7.0ms

rewrite12.0ms

series7.0ms

simplify55.0ms

prune56.0ms

localize11.0ms

rewrite47.0ms

series32.0ms

simplify50.0ms

prune116.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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