Details

analyze557.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	55×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

4.0ms	(+ (* x y) z)
7.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)

series29.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x y) z)
16.0ms	(+ (* (+ (* x y) z) y) t)
8.0ms	(* (+ (* x y) z) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4970	486
1	4970	486

prune75.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.5b	(cbrt (+ (* x y) z))
0.5b	(cbrt (+ (* x y) z))
0.5b	(cbrt (+ (* x y) z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))

series131.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
30.0ms	(cbrt (+ (* x y) z))
32.0ms	(cbrt (+ (* x y) z))
30.0ms	(cbrt (+ (* x y) z))

simplify60.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4906	1151
1	4906	1151

prune131.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	98	8	106

Merged error: 0b

Counts

106 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

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 y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series91.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
24.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune95.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Merged error: 0b

Counts

93 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (pow (cbrt (+ (* x y) z)) 2)) (cbrt (pow (cbrt (+ (* x y) z)) 2)))
0.6b	(cbrt (pow (cbrt (+ (* x y) z)) 2))
0.6b	(cbrt (pow (cbrt (+ (* x y) z)) 2))
0.6b	(cbrt (pow (cbrt (+ (* x y) z)) 2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

170×	`cbrt-prod`
77×	`add-sqr-sqrt`
66×	`unpow-prod-down`
36×	`unswap-sqr`
29×	`add-cube-cbrt` `*-un-lft-identity`
19×	`unpow2` `sqr-pow`
14×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

18.0ms	(* (cbrt (pow (cbrt (+ (* x y) z)) 2)) (cbrt (pow (cbrt (+ (* x y) z)) 2)))
6.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))
5.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))
6.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))

series169.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (cbrt (pow (cbrt (+ (* x y) z)) 2)) (cbrt (pow (cbrt (+ (* x y) z)) 2)))
41.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))
43.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))
40.0ms	(cbrt (pow (cbrt (+ (* x y) z)) 2))

simplify85.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4871	2902
1	4871	2902

prune298.0ms

Filtered

105 candidates to 165 candidates (-57.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	165	8	173

Merged error: 0b

Counts

173 → 8

regimes449.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample534.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
59.0ms	1867×	body	80	invalid

Details

analyze557.0ms

sample25.0ms

simplify3.0ms

prune6.0ms

localize7.0ms

rewrite17.0ms

series29.0ms

simplify37.0ms

prune75.0ms

localize11.0ms

rewrite25.0ms

series131.0ms

simplify60.0ms

prune131.0ms

localize10.0ms

rewrite10.0ms

series91.0ms

simplify46.0ms

prune95.0ms

localize17.0ms

rewrite43.0ms

series169.0ms

simplify85.0ms

prune298.0ms

regimes449.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample534.0ms

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