Details

analyze55.0ms

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

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify602.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4930	13
1	4930	13

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: 0.1b

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
12×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-l_binary64`
9×	`add-cube-cbrt_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`pow1_binary64`
6×	`associate-*r/_binary64` `difference-of-squares_binary64`
4×	`sub-neg_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 83

Calls

3 calls:

7.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
19.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series49.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
34.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

simplify62.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4967	1046
1	4967	1046

prune126.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0b

Counts

93 → 7

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac_binary64`
155×	`add-sqr-sqrt_binary64`
137×	`*-un-lft-identity_binary64`
81×	`add-cube-cbrt_binary64`
40×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
18×	`distribute-lft-out--_binary64`
13×	`associate-l_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
6×	`associate-r_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `difference-of-sqr-1_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 196

Calls

3 calls:

7.0ms	(/.f64 v (-.f64 1 m))
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
37.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))

series23.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5206	2803

prune194.0ms

Filtered

146 candidates to 205 candidates (-40.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	205	7	212

Merged error: 0b

Counts

212 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times_binary64`
30×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
23×	`flip3--_binary64` `flip--_binary64`
20×	`associate-r_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-*l/_binary64`
14×	`associate-*r/_binary64`
13×	`pow1_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
11×	`add-cube-cbrt_binary64` `associate-l_binary64`
8×	`difference-of-squares_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `sqrt-prod_binary64`
3×	`associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 134

Calls

4 calls:

7.0ms	(*.f64 m (-.f64 1 m))
16.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
22.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 m (-.f64 1 m))
16.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
14.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))

simplify59.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4982	2530
1	4982	2530

prune167.0ms

Filtered

107 candidates to 146 candidates (-36.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

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

Merged error: 0b

Counts

153 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
28×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
16×	`difference-of-squares_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-lft-out--_binary64`
7×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64`
4×	`frac-times_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 114

Calls

3 calls:

7.0ms	(/.f64 (-.f64 1 m) v)
17.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
11.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

series21.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4970	1381
1	4970	1381

prune104.0ms

Filtered

88 candidates to 123 candidates (-39.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	123	7	130

Merged error: 0b

Counts

130 → 7

regimes98.0ms

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	31	13
1	31	13

end0.0ms

sample556.0ms

Algorithm

intervals

Results

260.0ms	8000×	body	80	valid
152.0ms	8070×	pre	80	true
2.0ms	70×	body	80	invalid

Details

analyze55.0ms

sample23.0ms

simplify602.0ms

prune7.0ms

localize9.0ms

rewrite39.0ms

series49.0ms

simplify62.0ms

prune126.0ms

localize7.0ms

rewrite67.0ms

series23.0ms

simplify43.0ms

prune194.0ms

localize11.0ms

rewrite61.0ms

series44.0ms

simplify59.0ms

prune167.0ms

localize7.0ms

rewrite40.0ms

series21.0ms

simplify62.0ms

prune104.0ms

regimes98.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample556.0ms

Profiling