Details

analyze148.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample19.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify177.0ms

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

prune10.0ms

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: 6.6b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re x.re) (* x.im x.im))
0.1b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.3b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
4×	`flip3--` `flip3-+` `frac-add` `flip--` `flip-+`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x.re x.re) (* x.im x.im))
8.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
5.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series32.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* x.re x.re) (* x.im x.im))
11.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
11.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify64.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	411	707
1	2046	641
2	5002	535

prune107.0ms

Filtered

60 candidates to 81 candidates (-35.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	75	8	83

Merged error: 0.0b

Counts

83 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x.re x.im) x.im)
0.1b	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b	(* (+ x.re x.im) (* (- x.re x.im) x.im))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*l/`
19×	`flip3-+` `flip-+`
16×	`frac-add`
15×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
12×	`frac-times` `associate-l`
10×	`flip3--` `flip--`
9×	`add-cube-cbrt`
7×	`associate-r`
6×	`associate-*r/` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* (- x.re x.im) x.im)
11.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
5.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
9.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series31.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- x.re x.im) x.im)
11.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
10.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify142.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	735	1248
1	4447	1105
2	5001	784

prune205.0ms

Filtered

74 candidates to 108 candidates (-45.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	104	12	116

Merged error: 0.0b

Counts

116 → 12

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
16.4b	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
16.4b	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
16.4b	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

176×	`associate-*l/`
168×	`cbrt-div`
148×	`frac-times`
63×	`flip3--` `flip3-+` `flip--` `flip-+`
50×	`associate-*r/`
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 → 162

Calls

4 calls:

12.0ms	(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
8.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
8.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
10.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
24.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
30.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
45.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify73.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	461	3094
1	1466	3015
2	5001	2956

prune375.0ms

Filtered

124 candidates to 174 candidates (-40.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	174	12	186

Merged error: 0.0b

Counts

186 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

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

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.im) (cbrt x.im))
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)

series105.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt x.im) (cbrt x.im))
23.0ms	(cbrt x.im)
26.0ms	(cbrt x.im)
22.0ms	(cbrt x.im)

simplify106.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune109.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	84	13	97

Merged error: 0b

Counts

97 → 13

regimes153.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	9
1	18	9
2	18	9

end0.0ms

analyze252.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample833.0ms

Algorithm

intervals

Results

592.0ms	8000×	body	80	valid
40.0ms	547×	body	80	invalid

Details

analyze148.0ms

sample19.0ms

simplify177.0ms

prune10.0ms

localize10.0ms

rewrite24.0ms

series32.0ms

simplify64.0ms

prune107.0ms

localize10.0ms

rewrite36.0ms

series31.0ms

simplify142.0ms

prune205.0ms

localize28.0ms

rewrite59.0ms

series138.0ms

simplify73.0ms

prune375.0ms

localize14.0ms

rewrite11.0ms

series105.0ms

simplify106.0ms

prune109.0ms

regimes153.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze252.0ms

sample833.0ms

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