Details

analyze104.0ms

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

8.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

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: 6.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
5.7b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite25.0ms

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

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
7.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4963	749
1	4963	749

prune75.0ms

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: 0.0b

Counts

69 → 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))

rewrite96.0ms

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)
28.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
9.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))

series26.0ms

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)))
15.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))

simplify117.0ms

Algorithm

egg-herbie

Counts

601 → 601

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5302	12675

prune703.0ms

Filtered

363 candidates to 601 candidates (-65.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	598	3	601
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	601	5	606

Merged error: 0b

Counts

606 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac_binary64`
179×	`add-sqr-sqrt_binary64`
170×	`*-un-lft-identity_binary64`
117×	`add-cube-cbrt_binary64`
61×	`associate-r_binary64`
27×	`difference-of-squares_binary64`
26×	`distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r_binary64` `associate-l*_binary64`
5×	`pow1_binary64`
3×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `div-sub_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 223

Calls

3 calls:

6.0ms	(/.f64 (-.f64 3 x) 3)
10.0ms	(/.f64 (/.f64 (-.f64 3 x) 3) y)
30.0ms	(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 3 x) 3) y))

series17.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 (-.f64 3 x) 3)
6.0ms	(/.f64 (/.f64 (-.f64 3 x) 3) y)
8.0ms	(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 3 x) 3) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4953	2971
1	4953	2971

prune241.0ms

Filtered

171 candidates to 232 candidates (-35.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	232	5	237

Merged error: 0b

Counts

237 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

6.0ms	(/.f64 3 (-.f64 3 x))
12.0ms	(/.f64 (-.f64 1 x) (*.f64 y (/.f64 3 (-.f64 3 x))))
11.0ms	(*.f64 y (/.f64 3 (-.f64 3 x)))

series17.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify49.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5158	1225

prune102.0ms

Filtered

85 candidates to 119 candidates (-40.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

regimes118.0ms

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

sample389.0ms

Algorithm

intervals

Results

241.0ms	8000×	body	80	valid
12.0ms	318×	body	80	invalid

Details

analyze104.0ms

sample15.0ms

simplify68.0ms

prune5.0ms

localize7.0ms

rewrite25.0ms

series10.0ms

simplify48.0ms

prune75.0ms

localize7.0ms

rewrite96.0ms

series26.0ms

simplify117.0ms

prune703.0ms

localize7.0ms

rewrite60.0ms

series17.0ms

simplify74.0ms

prune241.0ms

localize7.0ms

rewrite33.0ms

series17.0ms

simplify49.0ms

prune102.0ms

regimes118.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample389.0ms

Profiling