Details

analyze69.0ms

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%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	38	9
1	38	9

prune6.0ms

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	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`sum-log_binary64`
3×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`

Counts

3 → 38

Calls

3 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 y y))
7.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

series26.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (.f64 x x) (.f64 y y))
11.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
9.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

simplify60.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5136	513

prune37.0ms

Filtered

32 candidates to 47 candidates (-46.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.1b	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y (+.f64 y y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-*r/_binary64` `frac-add_binary64` `sum-log_binary64`
2×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `associate-+r+_binary64`
1×	`associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 y y))
9.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y (+.f64 y y)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (.f64 x x) (.f64 y y))
8.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y (+.f64 y y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4811	423
1	4811	423

prune25.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 y y) 3)
0.2b	(.f64 (.f64 y y) 3)
8.1b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 3)))
8.1b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 3)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 68

Calls

4 calls:

6.0ms	(.f64 (.f64 y y) 3)
7.0ms	(.f64 (.f64 y y) 3)
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 3)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 3)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 (.f64 y y) 3)
3.0ms	(.f64 (.f64 y y) 3)
9.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 3)))
9.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 3)))

simplify75.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4993	654
1	4993	654

prune56.0ms

Filtered

54 candidates to 80 candidates (-48.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 3))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))))
0.2b	(.f64 (.f64 y y) 3)
8.1b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 3)))
8.1b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y (*.f64 y 3))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
16×	`sqrt-prod_binary64` `sqrt-div_binary64`
15×	`pow1_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
7×	`associate-l_binary64`
6×	`pow-prod-down_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`sqrt-unprod_binary64`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 3))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))))
6.0ms	(.f64 (.f64 y y) 3)
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 3)))
5.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y (*.f64 y 3))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 3))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))))
3.0ms	(.f64 (.f64 y y) 3)
9.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 (*.f64 y y) 3)))
10.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y (*.f64 y 3))))

simplify81.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4900	1209
1	4900	1209

prune64.0ms

Filtered

71 candidates to 99 candidates (-39.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

regimes120.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms

sample352.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
0.0ms	8×	body	80	invalid

Details

analyze69.0ms

sample13.0ms

simplify6.0ms

prune6.0ms

localize7.0ms

rewrite23.0ms

series26.0ms

simplify60.0ms

prune37.0ms

localize7.0ms

rewrite15.0ms

series15.0ms

simplify95.0ms

prune25.0ms

localize10.0ms

rewrite24.0ms

series24.0ms

simplify75.0ms

prune56.0ms

localize16.0ms

rewrite32.0ms

series31.0ms

simplify81.0ms

prune64.0ms

regimes120.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample352.0ms

Profiling