Details

analyze86.0ms

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
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	363	7
1	363	7

prune8.0ms

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4960	339
1	4960	339

prune21.0ms

Filtered

30 candidates to 41 candidates (-36.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x 2) (-.f64 x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x 2) (-.f64 x y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x 2) (-.f64 x y))

simplify60.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4940	218
1	4940	218

prune10.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (cbrt.f64 (pow.f64 (.f64 x (-.f64 x y)) 3)))
0.0b	(*.f64 x (-.f64 x y))
0.2b	(pow.f64 (*.f64 x (-.f64 x y)) 3)
33.5b	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
18×	`cbrt-prod_binary64`
16×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64`
10×	`associate-*r/_binary64` `add-cbrt-cube_binary64`
6×	`associate-l_binary64` `cube-div_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `flip3--_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`sub-neg_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 97

Calls

4 calls:

7.0ms	(.f64 2 (cbrt.f64 (pow.f64 (.f64 x (-.f64 x y)) 3)))
7.0ms	(*.f64 x (-.f64 x y))
6.0ms	(pow.f64 (*.f64 x (-.f64 x y)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3))

series36.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 2 (cbrt.f64 (pow.f64 (.f64 x (-.f64 x y)) 3)))
5.0ms	(*.f64 x (-.f64 x y))
11.0ms	(pow.f64 (*.f64 x (-.f64 x y)) 3)
8.0ms	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5109	899

prune57.0ms

Filtered

76 candidates to 109 candidates (-43.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Merged error: 0b

Counts

112 → 3

regimes89.0ms

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	18	7
1	18	7

end0.0ms

sample351.0ms

Algorithm

intervals

Results

221.0ms	8000×	body	80	valid
4.0ms	162×	body	80	invalid

Details

analyze86.0ms

sample13.0ms

simplify17.0ms

prune8.0ms

localize5.0ms

rewrite12.0ms

series13.0ms

simplify42.0ms

prune21.0ms

localize7.0ms

rewrite9.0ms

series6.0ms

simplify60.0ms

prune10.0ms

localize7.0ms

rewrite26.0ms

series36.0ms

simplify55.0ms

prune57.0ms

regimes89.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample351.0ms

Profiling