Details

analyze32.0ms

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
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify152.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	2141	9
1	2141	9

prune5.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`distribute-lft-out--_binary64`
14×	`add-cube-cbrt_binary64`
13×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `distribute-lft-out_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:

10.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5078	897

prune30.0ms

Filtered

38 candidates to 61 candidates (-60.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
0.1b	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity_binary64`
258×	`times-frac_binary64`
214×	`add-sqr-sqrt_binary64`
100×	`add-cube-cbrt_binary64`
83×	`distribute-lft-out--_binary64`
57×	`difference-of-squares_binary64`
41×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-exp_binary64`
6×	`flip3--_binary64` `div-inv_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×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 226

Calls

2 calls:

11.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
16.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
8.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5451	3864

prune78.0ms

Filtered

111 candidates to 232 candidates (-109.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	232	4	236

Merged error: 0.0b

Counts

236 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

series116.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
29.0ms	(cbrt.f64 (-.f64 x y))
27.0ms	(cbrt.f64 (-.f64 x y))
26.0ms	(cbrt.f64 (-.f64 x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5297	1060

prune51.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.1b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3)
6.3b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

258×	`*-un-lft-identity_binary64`
180×	`add-sqr-sqrt_binary64`
150×	`times-frac_binary64`
83×	`distribute-lft-out--_binary64`
78×	`cbrt-prod_binary64`
72×	`unpow-prod-down_binary64` `cube-prod_binary64`
66×	`add-cube-cbrt_binary64`
57×	`difference-of-squares_binary64`
26×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
5×	`associate-/l*_binary64` `div-inv_binary64`
4×	`pow1_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` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 238

Calls

3 calls:

11.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
14.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3)
31.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))

series46.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
25.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3)
9.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5260	4115

prune69.0ms

Filtered

99 candidates to 247 candidates (-149.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	246	5	251

Merged error: 0b

Counts

251 → 5

regimes133.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample339.0ms

Algorithm

intervals

Results

205.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid

Details

analyze32.0ms

sample12.0ms

simplify152.0ms

prune5.0ms

localize5.0ms

rewrite13.0ms

series8.0ms

simplify44.0ms

prune30.0ms

localize6.0ms

rewrite41.0ms

series23.0ms

simplify65.0ms

prune78.0ms

localize9.0ms

rewrite25.0ms

series116.0ms

simplify42.0ms

prune51.0ms

localize13.0ms

rewrite70.0ms

series46.0ms

simplify74.0ms

prune69.0ms

regimes133.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample339.0ms

Profiling