Details

analyze644.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample29.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	113×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5007	13

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
1.1b	(-.f64 (.f64 z z) (.f64 x x))
16.1b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64` `difference-of-squares_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/l*_binary64`
3×	`associate-/r*_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `div-sub_binary64`
1×	`associate--l-_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 61

Calls

3 calls:

11.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))
7.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

series32.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
6.0ms	(-.f64 (.f64 z z) (.f64 x x))
13.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4921	916
1	4921	916

prune56.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
0.0b	(/.f64 y (-.f64 z x))
0.3b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

177×	`times-frac_binary64`
164×	`*-un-lft-identity_binary64`
127×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
22×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
20×	`distribute-lft-out--_binary64`
13×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `flip-+_binary64`

Counts

3 → 178

Calls

3 calls:

37.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
6.0ms	(/.f64 y (-.f64 z x))
13.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
8.0ms	(/.f64 y (-.f64 z x))
12.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5109	2861

prune90.0ms

Filtered

122 candidates to 187 candidates (-53.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	183	4	187
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	186	6	192

Merged error: 0b

Counts

192 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
0.0b	(/.f64 (+.f64 z x) y)
0.2b	(*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
16×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
5×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-/l*_binary64`
3×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 89

Calls

3 calls:

12.0ms	(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
6.0ms	(/.f64 (+.f64 z x) y)
15.0ms	(*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x))

series30.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x)) y)
6.0ms	(/.f64 (+.f64 z x) y)
12.0ms	(*.f64 (/.f64 (+.f64 z x) y) (-.f64 z x))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5346	1057

prune47.0ms

Filtered

68 candidates to 98 candidates (-44.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0b

Counts

104 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 z x) (*.f64 y (/.f64 1 (-.f64 z x)))) y)
0.0b	(/.f64 1 (-.f64 z x))
0.2b	(*.f64 y (/.f64 1 (-.f64 z x)))
0.3b	(/.f64 (+.f64 z x) (*.f64 y (/.f64 1 (-.f64 z x))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
32×	`add-exp-log_binary64`
26×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
11×	`div-exp_binary64`
8×	`prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`pow1_binary64` `associate-/l*_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
4×	`cbrt-unprod_binary64`
3×	`flip3--_binary64` `1-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 129

Calls

4 calls:

16.0ms	(-.f64 (/.f64 (+.f64 z x) (*.f64 y (/.f64 1 (-.f64 z x)))) y)
6.0ms	(/.f64 1 (-.f64 z x))
14.0ms	(*.f64 y (/.f64 1 (-.f64 z x)))
13.0ms	(/.f64 (+.f64 z x) (*.f64 y (/.f64 1 (-.f64 z x))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 (/.f64 (+.f64 z x) (*.f64 y (/.f64 1 (-.f64 z x)))) y)
5.0ms	(/.f64 1 (-.f64 z x))
8.0ms	(*.f64 y (/.f64 1 (-.f64 z x)))
12.0ms	(/.f64 (+.f64 z x) (*.f64 y (/.f64 1 (-.f64 z x))))

simplify46.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5015	1236

prune50.0ms

Filtered

83 candidates to 141 candidates (-69.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	141	6	147

Merged error: 0b

Counts

147 → 6

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

end0.0ms

sample687.0ms

Algorithm

intervals

Results

331.0ms	8000×	body	80	valid
117.0ms	2767×	body	80	invalid

Details

analyze644.0ms

sample29.0ms

simplify49.0ms

prune6.0ms

localize8.0ms

rewrite24.0ms

series32.0ms

simplify68.0ms

prune56.0ms

localize8.0ms

rewrite66.0ms

series32.0ms

simplify59.0ms

prune90.0ms

localize8.0ms

rewrite36.0ms

series30.0ms

simplify46.0ms

prune47.0ms

localize10.0ms

rewrite53.0ms

series37.0ms

simplify46.0ms

prune50.0ms

regimes188.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample687.0ms

Profiling