Details

analyze23.0ms

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
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune3.0ms

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 x y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `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` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

12.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4959	532
1	4959	532

prune50.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `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` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
10.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

series44.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
10.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
19.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

simplify42.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5492	2496

prune95.0ms

Filtered

85 candidates to 194 candidates (-128.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	194	6	200

Merged error: 0.0b

Counts

200 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_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` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 174

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series21.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
10.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify67.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6131	2391

prune93.0ms

Filtered

91 candidates to 180 candidates (-97.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	182	4	186

Merged error: 0b

Counts

186 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

445×	`*-un-lft-identity_binary64`
443×	`times-frac_binary64`
313×	`add-sqr-sqrt_binary64`
290×	`cbrt-prod_binary64`
207×	`add-cube-cbrt_binary64`
156×	`unpow-prod-down_binary64` `cube-prod_binary64`
66×	`distribute-lft-out_binary64`
65×	`associate-/r*_binary64`
53×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
27×	`associate-/r/_binary64`
14×	`div-inv_binary64`
13×	`flip3-+_binary64` `add-exp-log_binary64` `flip-+_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`pow1_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64`
3×	`pow-unpow_binary64` `cbrt-undiv_binary64` `cube-div_binary64`
2×	`cbrt-div_binary64` `associate-/l/_binary64` `pow1/3_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `pow-flip_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `1-exp_binary64` `pow-pow_binary64` `div-sub_binary64` `inv-pow_binary64` `rec-exp_binary64` `flip--_binary64`

Counts

4 → 451

Calls

4 calls:

21.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))
11.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
10.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series63.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))
14.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
17.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
11.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify89.0ms

Algorithm

egg-herbie

Counts

463 → 463

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5134	6894

prune166.0ms

Filtered

165 candidates to 463 candidates (-180.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	463	0	463
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	463	4	467

Merged error: 0b

Counts

467 → 4

regimes104.0ms

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	19	10
1	19	10

end0.0ms

sample289.0ms

Algorithm

intervals

Results

167.0ms

8000×

body

valid

Details

analyze23.0ms

sample11.0ms

simplify49.0ms

prune3.0ms

localize4.0ms

rewrite14.0ms

series10.0ms

simplify51.0ms

prune50.0ms

localize6.0ms

rewrite38.0ms

series44.0ms

simplify42.0ms

prune95.0ms

localize5.0ms

rewrite29.0ms

series21.0ms

simplify67.0ms

prune93.0ms

localize10.0ms

rewrite85.0ms

series63.0ms

simplify89.0ms

prune166.0ms

regimes104.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample289.0ms

Profiling