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%	62.4%	12.6%	6
25%	40.6%	34.4%	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

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
7.0ms	(*.f64 x (+.f64 x 2))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
5.0ms	(*.f64 x (+.f64 x 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5057	346

prune20.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
0.0b	(+.f64 (.f64 x 2) (.f64 x x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`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`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
6.0ms	(+.f64 (.f64 x 2) (.f64 x x))

simplify48.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5201	298

prune15.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2))
0.0b	(*.f64 x (+.f64 x 2))
0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
20×	`*-un-lft-identity_binary64`
18×	`sqrt-prod_binary64`
16×	`add-cube-cbrt_binary64`
14×	`associate-r_binary64`
12×	`associate-l_binary64` `sqrt-div_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`pow1/2_binary64` `swap-sqr_binary64` `sqrt-pow1_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `unswap-sqr_binary64`
5×	`pow-prod-down_binary64` `pow-prod-up_binary64`
4×	`frac-times_binary64`
3×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64` `pow-sqr_binary64` `*-commutative_binary64`
2×	`distribute-lft-out_binary64` `associate-+l+_binary64` `associate-*l/_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64`

Counts

4 → 116

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
9.0ms	(*.f64 x (+.f64 x 2))
6.0ms	(*.f64 x (+.f64 x 2))
18.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
5.0ms	(*.f64 x (+.f64 x 2))
5.0ms	(*.f64 x (+.f64 x 2))
7.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))

simplify69.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4928	1336
1	4928	1336

prune64.0ms

Filtered

78 candidates to 128 candidates (-64.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Merged error: 0b

Counts

130 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))) (fabs.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
0.3b	(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))) (fabs.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`sqrt-div_binary64`
12×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-div_binary64` `sqrt-prod_binary64` `associate-*l/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64` `cbrt-prod_binary64`
7×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`associate-r/_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))) (fabs.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
21.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))) (fabs.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))) (fabs.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
60.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))) (fabs.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))))
34.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
37.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5001	2562

prune111.0ms

Filtered

81 candidates to 94 candidates (-16.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	94	3	97

Merged error: 0b

Counts

97 → 3

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

sample388.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze69.0ms

sample13.0ms

simplify5.0ms

prune9.0ms

localize5.0ms

rewrite15.0ms

series12.0ms

simplify47.0ms

prune20.0ms

localize9.0ms

rewrite12.0ms

series14.0ms

simplify48.0ms

prune15.0ms

localize8.0ms

rewrite45.0ms

series24.0ms

simplify69.0ms

prune64.0ms

localize17.0ms

rewrite49.0ms

series172.0ms

simplify56.0ms

prune111.0ms

regimes122.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample388.0ms

Profiling