Details

analyze34.0ms

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

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

prune2.0ms

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))

rewrite6.0ms

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:

5.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4937	287
1	4937	287

prune33.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0b

Counts

37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite19.0ms

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`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-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 → 121

Calls

2 calls:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 (+.f64 x y) x)
9.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

simplify56.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5020	1282

prune69.0ms

Filtered

69 candidates to 127 candidates (-84.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	127	4	131

Merged error: 0b

Counts

131 → 4

localize5.0ms

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))))
7.7b	(sqrt.f64 (/.f64 x (+.f64 x y)))
7.7b	(sqrt.f64 (/.f64 x (+.f64 x y)))

rewrite50.0ms

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))
24.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
5.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))
5.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/.f64 x (+.f64 x y))
7.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
10.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))
11.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4960	1994
1	4960	1994

prune115.0ms

Filtered

131 candidates to 213 candidates (-62.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	213	4	217

Merged error: 0b

Counts

217 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.2b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
13.5b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
46×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`cbrt-prod_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `pow1_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 141

Calls

3 calls:

6.0ms	(/.f64 x (+.f64 x y))
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
10.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

series28.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 x (+.f64 x y))
14.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
7.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5157	1439

prune65.0ms

Filtered

69 candidates to 150 candidates (-117.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	150	4	154

Merged error: 0b

Counts

154 → 4

regimes103.0ms

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	5	5
1	5	5

end0.0ms

sample262.0ms

Algorithm

intervals

Results

146.0ms

8000×

body

valid

Details

analyze34.0ms

sample11.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series6.0ms

simplify47.0ms

prune33.0ms

localize5.0ms

rewrite19.0ms

series14.0ms

simplify56.0ms

prune69.0ms

localize5.0ms

rewrite50.0ms

series35.0ms

simplify63.0ms

prune115.0ms

localize6.0ms

rewrite29.0ms

series28.0ms

simplify32.0ms

prune65.0ms

regimes103.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample262.0ms

Profiling