Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample27.0ms

Algorithm

intervals

Results

11.0ms	63×	body	640	valid
4.0ms	128×	body	80	valid
3.0ms	40×	body	320	valid
1.0ms	25×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune8.0ms

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: 15.5b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
4.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64_574`
72×	`add-sqr-sqrt_binary64_559`
69×	`times-frac_binary64_569`
32×	`add-cube-cbrt_binary64_545`
27×	`distribute-lft-out--_binary64_619`
17×	`difference-of-squares_binary64_603`
11×	`associate-/r*_binary64_637`
10×	`distribute-lft-out_binary64_618`
9×	`add-exp-log_binary64_538`
7×	`add-cbrt-cube_binary64_546`
6×	`associate-/r/_binary64_639` `div-inv_binary64_575` `associate-/l*_binary64_638`
5×	`pow1_binary64_520` `add-log-exp_binary64_539`
4×	`difference-of-sqr-1_binary64_604`
3×	`flip--_binary64_600`
2×	`flip3--_binary64_573` `inv-pow_binary64_496` `pow-flip_binary64_504` `div-exp_binary64_527` `frac-2neg_binary64_567` `rec-exp_binary64_526` `flip-+_binary64_599` `clear-num_binary64_577` `cbrt-undiv_binary64_544`
1×	`frac-sub_binary64_565` `flip3-+_binary64_572` `diff-log_binary64_490` `sub-neg_binary64_578`

Counts

3 → 122

Calls

3 calls:

8.0ms	(/.f64 1 (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 x 1))
27.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 1 (+.f64 x 1))
8.0ms	(/.f64 1 (-.f64 x 1))
30.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

simplify82.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4927	2114
1	4927	2114

prune262.0ms

Filtered

69 candidates to 131 candidates (-89.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	2	132

Merged error: 0.6b

Counts

132 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

0.6b	(/.f64 (+.f64 -2 (-.f64 x x)) (+.f64 (*.f64 x x) -1))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_574`
20×	`times-frac_binary64_569`
12×	`add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
10×	`distribute-lft-out_binary64_618`
6×	`difference-of-sqr--1_binary64_605`
5×	`associate-/l*_binary64_638` `distribute-lft-out--_binary64_619`
4×	`associate-/r*_binary64_637`
3×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
2×	`associate-/r/_binary64_639` `associate-/l/_binary64_640` `flip3-+_binary64_572` `flip-+_binary64_599`
1×	`pow1_binary64_520` `div-inv_binary64_575` `associate-+r-_binary64_627` `div-exp_binary64_527` `frac-2neg_binary64_567` `clear-num_binary64_577` `div-sub_binary64_568` `cbrt-undiv_binary64_544` `add-log-exp_binary64_539`

Counts

1 → 46

Calls

1 calls:

12.0ms

(/.f64 (+.f64 -2 (-.f64 x x)) (+.f64 (*.f64 x x) -1))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/.f64 (+.f64 -2 (-.f64 x x)) (+.f64 (*.f64 x x) -1))

simplify67.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5011	850

prune148.0ms

Filtered

35 candidates to 49 candidates (-40.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0.0b

Counts

51 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac_binary64_569`
207×	`*-un-lft-identity_binary64_574`
170×	`add-sqr-sqrt_binary64_559`
94×	`add-cube-cbrt_binary64_545`
38×	`difference-of-squares_binary64_603`
28×	`distribute-lft-out_binary64_618`
21×	`associate-/l*_binary64_638`
20×	`associate-/r/_binary64_639`
19×	`distribute-lft-out--_binary64_619` `difference-of-sqr-1_binary64_604`
11×	`associate-/r*_binary64_637`
10×	`div-inv_binary64_575`
9×	`add-cbrt-cube_binary64_546` `flip3-+_binary64_572` `flip-+_binary64_599` `add-exp-log_binary64_538`
4×	`div-exp_binary64_527` `cbrt-undiv_binary64_544`
2×	`pow1_binary64_520` `frac-2neg_binary64_567` `clear-num_binary64_577` `add-log-exp_binary64_539`
1×	`flip3--_binary64_573` `associate-/l/_binary64_640` `flip--_binary64_600`

Counts

2 → 201

Calls

2 calls:

5.0ms	(/.f64 -2 (+.f64 x 1))
13.0ms	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))

series35.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 -2 (+.f64 x 1))
27.0ms	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))

simplify121.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5075	5121

prune413.0ms

Filtered

114 candidates to 207 candidates (-81.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	205	2	207
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	207	5	212

Merged error: 0b

Counts

212 → 5

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity_binary64_574`
63×	`add-sqr-sqrt_binary64_559`
61×	`times-frac_binary64_569`
39×	`add-cube-cbrt_binary64_545`
25×	`add-exp-log_binary64_538`
21×	`associate-r_binary64_633`
19×	`add-cbrt-cube_binary64_546`
18×	`associate-l_binary64_634`
14×	`distribute-lft-out_binary64_618`
9×	`associate-/r*_binary64_637`
8×	`associate-/r/_binary64_639`
7×	`difference-of-sqr--1_binary64_605` `div-exp_binary64_527`
6×	`pow1_binary64_520` `associate-/l*_binary64_638` `unswap-sqr_binary64_602` `cbrt-undiv_binary64_544` `prod-exp_binary64_525`
4×	`div-inv_binary64_575` `flip3-+_binary64_572` `flip-+_binary64_599` `cbrt-unprod_binary64_543`
3×	`rec-exp_binary64_526` `add-log-exp_binary64_539`
2×	`frac-2neg_binary64_567` `clear-num_binary64_577`
1×	`frac-times_binary64_566` `inv-pow_binary64_496` `pow-flip_binary64_504` `associate-l/_binary64_636` `-commutative_binary64_642` `pow-prod-down_binary64_501` `associate-*r/_binary64_635`

Counts

3 → 140

Calls

3 calls:

6.0ms	(/.f64 1 (+.f64 x 1))
5.0ms	(/.f64 -2 (+.f64 x -1))
20.0ms	(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))

series46.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 1 (+.f64 x 1))
10.0ms	(/.f64 -2 (+.f64 x -1))
27.0ms	(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))

simplify77.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5158	2143

prune375.0ms

Filtered

102 candidates to 149 candidates (-46.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	149	5	154

Merged error: 0b

Counts

154 → 5

regimes62.0ms

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	19	13
1	19	13

end0.0ms

sample584.0ms

Algorithm

intervals

Results

210.0ms	1933×	body	640	valid
121.0ms	4229×	body	80	valid
97.0ms	1216×	body	320	valid
35.0ms	622×	body	160	valid

Details

analyze4.0ms

sample27.0ms

simplify15.0ms

prune8.0ms

localize10.0ms

rewrite47.0ms

series45.0ms

simplify82.0ms

prune262.0ms

localize9.0ms

rewrite14.0ms

series21.0ms

simplify67.0ms

prune148.0ms

localize13.0ms

rewrite31.0ms

series35.0ms

simplify121.0ms

prune413.0ms

localize16.0ms

rewrite36.0ms

series46.0ms

simplify77.0ms

prune375.0ms

regimes62.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample584.0ms

Profiling