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
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

9.0ms

256×

body

128

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-/r*_binary64` `distribute-lft-out_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 33

Calls

1 calls:

6.0ms

(/.f64 x (+.f64 x y))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/.f64 x (+.f64 x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5104	431

prune24.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0b

Counts

37 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.6b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`associate-/r*_binary64`
16×	`distribute-lft-out_binary64`
12×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
5×	`div-exp_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

2 → 119

Calls

2 calls:

6.0ms	(/.f64 (+.f64 x y) x)
8.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/.f64 (+.f64 x y) x)
54.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

simplify76.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5104	1939

prune47.0ms

Filtered

70 candidates to 125 candidates (-78.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Merged error: 0b

Counts

128 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.1b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
8.6b	(sqrt.f64 (/.f64 x (+.f64 x y)))
8.6b	(sqrt.f64 (/.f64 x (+.f64 x y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

134×	`sqrt-prod_binary64`
131×	`*-un-lft-identity_binary64`
104×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
69×	`add-cube-cbrt_binary64`
29×	`swap-sqr_binary64`
28×	`distribute-lft-out_binary64`
21×	`pow1_binary64` `associate-r_binary64` `associate-l_binary64`
14×	`associate-/r/_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`unswap-sqr_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`sqrt-div_binary64`
5×	`pow-prod-up_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `rem-sqrt-square_binary64`
3×	`pow-prod-down_binary64` `associate-/l*_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 201

Calls

4 calls:

5.0ms	(/.f64 x (+.f64 x y))
25.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
6.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))
6.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/.f64 x (+.f64 x y))
57.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
93.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))
88.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

simplify112.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4962	3067
1	4962	3067

prune93.0ms

Filtered

132 candidates to 213 candidates (-61.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	213	3	216

Merged error: 0b

Counts

216 → 3

regimes28.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms

sample299.0ms

Algorithm

intervals

Results

157.0ms

8000×

body

128

valid

Details

analyze35.0ms

sample16.0ms

simplify8.0ms

prune1.0ms

localize3.0ms

rewrite8.0ms

series55.0ms

simplify52.0ms

prune24.0ms

localize4.0ms

rewrite25.0ms

series86.0ms

simplify76.0ms

prune47.0ms

localize6.0ms

rewrite65.0ms

series295.0ms

simplify112.0ms

prune93.0ms

regimes28.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample299.0ms

Profiling