Details

analyze103.0ms

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4861	11
1	4861	11

prune5.0ms

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: 6.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
5.9b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
8×	`associate-/l/_binary64` `frac-times_binary64`
6×	`associate-l_binary64`
5×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `div-exp_binary64` `associate-l/_binary64`
3×	`difference-of-squares_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

2 → 62

Calls

2 calls:

10.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
12.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

series10.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
7.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4963	749
1	4963	749

prune79.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`
70×	`times-frac_binary64`
43×	`add-cube-cbrt_binary64`
22×	`associate-l_binary64`
21×	`difference-of-squares_binary64`
19×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`distribute-lft-out--_binary64`
11×	`associate-/l*_binary64`
6×	`associate-/r*_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`associate-/l/_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 145

Calls

3 calls:

6.0ms	(/.f64 (-.f64 3 x) 3)
6.0ms	(/.f64 (-.f64 1 x) y)
18.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

series15.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 (-.f64 3 x) 3)
4.0ms	(/.f64 (-.f64 1 x) y)
7.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4941	1644
1	4941	1644

prune136.0ms

Filtered

107 candidates to 154 candidates (-43.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	154	5	159

Merged error: 0b

Counts

159 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.1b	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
0.1b	(/.f64 y (/.f64 (-.f64 3 x) 3))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

1218×	`times-frac_binary64`
808×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
461×	`add-cube-cbrt_binary64`
205×	`difference-of-squares_binary64`
142×	`distribute-lft-out--_binary64`
84×	`associate-/r*_binary64`
35×	`div-inv_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-/l*_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`associate-/r/_binary64`
4×	`associate-/l/_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `div-sub_binary64` `flip--_binary64`

Counts

3 → 592

Calls

3 calls:

6.0ms	(/.f64 (-.f64 3 x) 3)
22.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
10.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))

series17.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 (-.f64 3 x) 3)
7.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
7.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))

simplify124.0ms

Algorithm

egg-herbie

Counts

601 → 601

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5302	12675

prune673.0ms

Filtered

363 candidates to 601 candidates (-65.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	601	0	601
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	601	5	606

Merged error: 0b

Counts

606 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) y)
0.3b	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
0.3b	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
22×	`associate-l_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`difference-of-squares_binary64`
8×	`distribute-lft-out--_binary64`
7×	`associate-/l/_binary64` `associate-/l*_binary64`
6×	`associate-/r*_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
4×	`cbrt-unprod_binary64` `associate-*r/_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `div-inv_binary64`
2×	`sub-neg_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `*-commutative_binary64`

Counts

3 → 119

Calls

3 calls:

7.0ms	(/.f64 (-.f64 1 x) y)
12.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
13.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))

series21.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 (-.f64 1 x) y)
7.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
9.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))

simplify51.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4955	1341
1	4955	1341

prune100.0ms

Filtered

89 candidates to 128 candidates (-43.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	128	5	133

Merged error: 0b

Counts

133 → 5

regimes154.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample383.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
10.0ms	348×	body	80	invalid

Details

analyze103.0ms

sample15.0ms

simplify86.0ms

prune5.0ms

localize7.0ms

rewrite24.0ms

series10.0ms

simplify51.0ms

prune79.0ms

localize7.0ms

rewrite35.0ms

series15.0ms

simplify53.0ms

prune136.0ms

localize7.0ms

rewrite90.0ms

series17.0ms

simplify124.0ms

prune673.0ms

localize7.0ms

rewrite36.0ms

series21.0ms

simplify51.0ms

prune100.0ms

regimes154.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample383.0ms

Profiling