Details

sample43.0ms

Algorithm

intervals

Results

28.0ms

466×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5149	11

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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:

7.0ms	(- (* x.re (* x.re (* x.im 3))) (pow x.im 3))
6.0ms	(* x.re (* x.re (* x.im 3)))
5.0ms	(* x.re (* x.im 3))

series21.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(- (* x.re (* x.re (* x.im 3))) (pow x.im 3))
4.0ms	(* x.re (* x.re (* x.im 3)))
3.0ms	(* x.re (* x.im 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4961	516
1	4961	516

prune82.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	8	62

Merged error: 0.0b

Counts

62 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x.re) (cbrt x.re))
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x.re) (cbrt x.re))
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt x.re) (cbrt x.re))
21.0ms	(cbrt x.re)
21.0ms	(cbrt x.re)
24.0ms	(cbrt x.re)

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5837	334

prune105.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x.re (* x.re (* x.im 3)))) (cbrt (* x.re (* x.re (* x.im 3)))))
22.6b	(cbrt (* x.re (* x.re (* x.im 3))))
22.6b	(cbrt (* x.re (* x.re (* x.im 3))))
22.6b	(cbrt (* x.re (* x.re (* x.im 3))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

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

series90.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (* x.re (* x.re (* x.im 3)))) (cbrt (* x.re (* x.re (* x.im 3)))))
20.0ms	(cbrt (* x.re (* x.re (* x.im 3))))
20.0ms	(cbrt (* x.re (* x.re (* x.im 3))))
20.0ms	(cbrt (* x.re (* x.re (* x.im 3))))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	6027	632

prune150.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* x.re x.re) (* x.im 3)) (pow x.im 3))
11.6b	(* (* x.re x.re) (* x.im 3))

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:

7.0ms	(- (* (* x.re x.re) (* x.im 3)) (pow x.im 3))
6.0ms	(* (* x.re x.re) (* x.im 3))

series15.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- (* (* x.re x.re) (* x.im 3)) (pow x.im 3))
4.0ms	(* (* x.re x.re) (* x.im 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5131	404

prune37.0ms

Filtered

19 candidates to 40 candidates (-110.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	42	6	48

Merged error: 0b

Counts

48 → 6

regimes96.0ms

Accuracy

0% (0.1b 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

sample1.1s

Algorithm

intervals

Results

752.0ms

14508×

body

valid

Details

sample43.0ms

simplify102.0ms

prune9.0ms

localize7.0ms

rewrite19.0ms

series21.0ms

simplify54.0ms

prune82.0ms

localize11.0ms

rewrite11.0ms

series90.0ms

simplify75.0ms

prune105.0ms

localize14.0ms

rewrite22.0ms

series90.0ms

simplify46.0ms

prune150.0ms

localize7.0ms

rewrite15.0ms

series15.0ms

simplify43.0ms

prune37.0ms

regimes96.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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