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

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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 y x))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5057	287

prune35.0ms

Filtered

26 candidates to 36 candidates (-38.5%)

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x y))
0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 78

Calls

2 calls:

6.0ms	(/.f64 1 (+.f64 x y))
11.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/.f64 1 (+.f64 x y))
6.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4897	564
1	4897	564

prune50.0ms

Filtered

47 candidates to 84 candidates (-78.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 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))))
11.0b	(sqrt.f64 (/.f64 x (+.f64 x y)))
11.0b	(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))
21.0ms	(*.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)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 x (+.f64 x y))
6.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
9.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))
9.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4960	1994
1	4960	1994

prune117.0ms

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

regimes101.0ms

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

sample267.0ms

Algorithm

intervals

Results

148.0ms

8000×

body

valid

Details

analyze34.0ms

sample17.0ms

simplify6.0ms

prune6.0ms

localize4.0ms

rewrite7.0ms

series6.0ms

simplify61.0ms

prune35.0ms

localize5.0ms

rewrite20.0ms

series10.0ms

simplify58.0ms

prune50.0ms

localize6.0ms

rewrite50.0ms

series30.0ms

simplify58.0ms

prune117.0ms

regimes101.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample267.0ms

Profiling