Details

analyze70.0ms

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	1×	body	80	invalid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	365	10
1	365	10

prune3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4853	170
1	4853	170

prune8.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

6.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4925	254
1	4925	254

prune12.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 y y))
4.9b	(.f64 x (-.f64 (.f64 x x) (*.f64 y y)))
14.9b	(/.f64 (.f64 x (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r_binary64` `associate-r_binary64` `associate-r/_binary64` `times-frac_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

3 → 62

Calls

3 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 y y))
7.0ms	(.f64 x (-.f64 (.f64 x x) (*.f64 y y)))
10.0ms	(/.f64 (.f64 x (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))

series109.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(-.f64 (.f64 x x) (.f64 y y))
31.0ms	(.f64 x (-.f64 (.f64 x x) (*.f64 y y)))
55.0ms	(/.f64 (.f64 x (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))

simplify96.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4960	997
1	4960	997

prune34.0ms

Filtered

47 candidates to 71 candidates (-51.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	71	3	74

Merged error: 0b

Counts

74 → 3

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	13
1	36	13

end0.0ms

sample352.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
4.0ms	165×	body	80	invalid

Details

analyze70.0ms

sample13.0ms

simplify30.0ms

prune3.0ms

localize6.0ms

rewrite4.0ms

series26.0ms

simplify74.0ms

prune8.0ms

localize5.0ms

rewrite7.0ms

series25.0ms

simplify68.0ms

prune12.0ms

localize11.0ms

rewrite22.0ms

series109.0ms

simplify96.0ms

prune34.0ms

regimes53.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample352.0ms

Profiling