Details

analyze52.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify586.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4850	11
1	4850	11

prune7.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

7.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
14.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

series46.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 m (-.f64 1 m))
22.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

simplify46.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5287	715

prune108.0ms

Filtered

55 candidates to 81 candidates (-47.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	70	11	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	11	82

Merged error: 0.0b

Counts

82 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (-.f64 1 m))
0.1b	(/.f64 m (/.f64 v (-.f64 1 m)))
0.2b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac_binary64`
152×	`add-sqr-sqrt_binary64`
134×	`*-un-lft-identity_binary64`
81×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
17×	`distribute-lft-out--_binary64`
13×	`associate-l_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64` `difference-of-sqr-1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 185

Calls

3 calls:

6.0ms	(/.f64 v (-.f64 1 m))
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
35.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

series21.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 v (-.f64 1 m))
6.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
8.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

simplify56.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5133	2448

prune187.0ms

Filtered

135 candidates to 194 candidates (-43.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	193	12	205

Merged error: 0b

Counts

205 → 12

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.2b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

13.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
12.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
7.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)

simplify51.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5101	667

prune79.0ms

Filtered

48 candidates to 67 candidates (-39.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	68	11	79

Merged error: 0b

Counts

79 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 m v))
0.1b	(sqrt.f64 (/.f64 m v))
0.2b	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v)))) 1) m)
0.5b	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

39×	`sqrt-prod_binary64`
36×	`add-sqr-sqrt_binary64`
29×	`times-frac_binary64`
28×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`associate-l_binary64`
14×	`sqrt-div_binary64`
13×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`frac-times_binary64`
7×	`associate-r/_binary64` `associate-l/_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64`
3×	`div-inv_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 112

Calls

4 calls:

3.0ms	(sqrt.f64 (/.f64 m v))
3.0ms	(sqrt.f64 (/.f64 m v))
18.0ms	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v)))) 1) m)
15.0ms	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt.f64 (/.f64 m v))
16.0ms	(sqrt.f64 (/.f64 m v))
8.0ms	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v)))) 1) m)
7.0ms	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v))))

simplify55.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5203	1251

prune109.0ms

Filtered

101 candidates to 124 candidates (-22.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	2	7	9
Picked	0	1	1
Done	1	0	1
Total	126	9	135

Merged error: 0b

Counts

135 → 9

regimes109.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	13
1	44	13

end0.0ms

sample509.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	80	valid
142.0ms	8070×	pre	80	true
2.0ms	70×	body	80	invalid

Details

analyze52.0ms

sample22.0ms

simplify586.0ms

prune7.0ms

localize9.0ms

rewrite33.0ms

series46.0ms

simplify46.0ms

prune108.0ms

localize7.0ms

rewrite60.0ms

series21.0ms

simplify56.0ms

prune187.0ms

localize7.0ms

rewrite27.0ms

series14.0ms

simplify51.0ms

prune79.0ms

localize12.0ms

rewrite43.0ms

series49.0ms

simplify55.0ms

prune109.0ms

regimes109.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample509.0ms

Profiling