Details

analyze41.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample21.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	498	18
1	498	18

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.2b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
0.2b	(*.f64 3 (sqrt.f64 x))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(/.f64 1 (*.f64 x 9))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64`
9×	`add-log-exp_binary64` `pow1_binary64`
6×	`associate-r_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-exp_binary64`
5×	`prod-exp_binary64` `distribute-lft-out--_binary64`
4×	`cbrt-undiv_binary64` `sqrt-prod_binary64`
3×	`diff-log_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `1-exp_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64`
1×	`associate--l-_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

13.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))

series99.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
15.0ms	(*.f64 3 (sqrt.f64 x))
41.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
12.0ms	(/.f64 1 (*.f64 x 9))

simplify92.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4914	1398
1	4914	1398

prune95.0ms

Filtered

70 candidates to 103 candidates (-47.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b	(*.f64 3 (sqrt.f64 x))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(/.f64 (/.f64 1 x) 9)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac_binary64`
57×	`add-sqr-sqrt_binary64`
56×	`*-un-lft-identity_binary64`
51×	`add-cube-cbrt_binary64`
20×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
9×	`add-log-exp_binary64`
8×	`div-exp_binary64`
6×	`pow1_binary64` `associate-r_binary64` `div-inv_binary64`
5×	`cbrt-undiv_binary64`
4×	`associate-/r*_binary64` `sqrt-prod_binary64`
3×	`diff-log_binary64` `associate-l_binary64` `distribute-lft-out--_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `flip--_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate--l-_binary64` `1-exp_binary64` `difference-of-squares_binary64` `rec-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 134

Calls

4 calls:

26.0ms	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
6.0ms	(/.f64 (/.f64 1 x) 9)

series108.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(-.f64 (-.f64 1 (/.f64 (/.f64 1 x) 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
18.0ms	(*.f64 3 (sqrt.f64 x))
44.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
13.0ms	(/.f64 (/.f64 1 x) 9)

simplify104.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4918	2186
1	4918	2186

prune123.0ms

Filtered

102 candidates to 146 candidates (-43.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	146	7	153

Merged error: 0.0b

Counts

153 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
0.3b	(/.f64 1 (*.f64 x 9))
0.3b	(/.f64 (/.f64 y 3) (sqrt.f64 x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
82×	`add-cube-cbrt_binary64`
44×	`sqrt-prod_binary64`
19×	`add-exp-log_binary64`
16×	`associate-/l*_binary64`
13×	`add-cbrt-cube_binary64`
10×	`div-inv_binary64`
8×	`add-log-exp_binary64`
7×	`associate-/r*_binary64` `div-exp_binary64`
6×	`pow1_binary64`
5×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`diff-log_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `inv-pow_binary64` `associate--l+_binary64`

Counts

3 → 164

Calls

3 calls:

40.0ms	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))
8.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))

series88.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
11.0ms	(/.f64 1 (*.f64 x 9))
46.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))

simplify122.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5013	3482

prune143.0ms

Filtered

112 candidates to 173 candidates (-54.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	172	8	180

Merged error: 0b

Counts

180 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 y (/.f64 1/3 (sqrt.f64 x))))
0.3b	(*.f64 y (/.f64 1/3 (sqrt.f64 x)))
0.3b	(/.f64 1 (*.f64 x 9))
0.3b	(/.f64 1/3 (sqrt.f64 x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
41×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
22×	`associate-r_binary64` `add-exp-log_binary64` `sqrt-prod_binary64`
16×	`add-cbrt-cube_binary64`
9×	`add-log-exp_binary64` `pow1_binary64`
7×	`associate-/r*_binary64`
6×	`associate-/l*_binary64` `div-exp_binary64`
5×	`prod-exp_binary64`
4×	`cbrt-undiv_binary64`
3×	`diff-log_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `unswap-sqr_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64`
1×	`associate--l-_binary64` `inv-pow_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 125

Calls

4 calls:

10.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 y (/.f64 1/3 (sqrt.f64 x))))
12.0ms	(*.f64 y (/.f64 1/3 (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))
4.0ms	(/.f64 1/3 (sqrt.f64 x))

series111.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 y (/.f64 1/3 (sqrt.f64 x))))
37.0ms	(*.f64 y (/.f64 1/3 (sqrt.f64 x)))
11.0ms	(/.f64 1 (*.f64 x 9))
32.0ms	(/.f64 1/3 (sqrt.f64 x))

simplify107.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4915	1871
1	4915	1871

prune106.0ms

Filtered

94 candidates to 137 candidates (-45.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	137	8	145

Merged error: 0b

Counts

145 → 8

regimes35.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	70	21
1	70	21

end0.0ms

sample486.0ms

Algorithm

intervals

Results

347.0ms	8000×	body	80	valid
7.0ms	97×	body	80	invalid

Details

analyze41.0ms

sample21.0ms

simplify38.0ms

prune4.0ms

localize10.0ms

rewrite30.0ms

series99.0ms

simplify92.0ms

prune95.0ms

localize10.0ms

rewrite47.0ms

series108.0ms

simplify104.0ms

prune123.0ms

localize10.0ms

rewrite61.0ms

series88.0ms

simplify122.0ms

prune143.0ms

localize10.0ms

rewrite35.0ms

series111.0ms

simplify107.0ms

prune106.0ms

regimes35.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample486.0ms

Profiling