Details

analyze35.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	691	10
1	691	10

prune1.0ms

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 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_binary64`
13×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64`
5×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 58

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

simplify91.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5036	1144

prune39.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 1 y))
0.0b	(/.f64 x (-.f64 1 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
16×	`difference-of-squares_binary64`
12×	`associate-/r*_binary64`
8×	`distribute-lft-out--_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
4×	`associate-/r/_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

2 → 82

Calls

2 calls:

6.0ms	(/.f64 y (-.f64 1 y))
6.0ms	(/.f64 x (-.f64 1 y))

series42.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 y (-.f64 1 y))
28.0ms	(/.f64 x (-.f64 1 y))

simplify99.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4845	1246
1	4845	1246

prune58.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	88	2	90

Merged error: 0b

Counts

90 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
16.2b	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64`
61×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
33×	`difference-of-squares_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`
11×	`distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-r_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 109

Calls

2 calls:

15.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
8.0ms	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
56.0ms	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5587	2443

prune78.0ms

Filtered

86 candidates to 115 candidates (-33.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Merged error: 0b

Counts

117 → 2

regimes18.0ms

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	28	16
1	28	16

end0.0ms

sample294.0ms

Algorithm

intervals

Results

172.0ms

8000×

body

valid

Details

analyze35.0ms

sample11.0ms

simplify64.0ms

prune1.0ms

localize4.0ms

rewrite11.0ms

series24.0ms

simplify91.0ms

prune39.0ms

localize7.0ms

rewrite15.0ms

series42.0ms

simplify99.0ms

prune58.0ms

localize8.0ms

rewrite28.0ms

series104.0ms

simplify84.0ms

prune78.0ms

regimes18.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample294.0ms

Profiling