Details

analyze53.0ms

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
5.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify588.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4850	11
1	4850	11

prune6.0ms

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:

8.0ms	(*.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)

series44.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.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)

simplify45.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5287	715

prune68.0ms

Filtered

55 candidates to 81 candidates (-47.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	73	8	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 103

Calls

3 calls:

7.0ms	(/.f64 (-.f64 1 m) v)
12.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
14.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

series17.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 (-.f64 1 m) v)
7.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
6.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4968	1058
1	4968	1058

prune70.0ms

Filtered

77 candidates to 112 candidates (-45.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Merged error: 0.0b

Counts

121 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 v (*.f64 m (-.f64 1 m)))
0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
0.3b	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
40×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64`
28×	`add-cube-cbrt_binary64`
22×	`add-cbrt-cube_binary64`
17×	`associate-l_binary64`
14×	`div-exp_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`pow1_binary64` `associate-r_binary64`
8×	`difference-of-squares_binary64`
7×	`flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip--_binary64`
6×	`prod-exp_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`1-exp_binary64` `difference-of-sqr-1_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 143

Calls

4 calls:

7.0ms	(*.f64 m (-.f64 1 m))
7.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
23.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
10.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 m (-.f64 1 m))
7.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
13.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
9.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

simplify50.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5204	1553

prune88.0ms

Filtered

99 candidates to 155 candidates (-56.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	152	3	155
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	155	9	164

Merged error: 0b

Counts

164 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 v (-.f64 1 m))
0.2b	(.f64 (-.f64 (/.f64 1 (.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))) 1) m)
0.3b	(/.f64 1 (*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m))))
0.3b	(*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-exp-log_binary64`
80×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
51×	`div-exp_binary64`
38×	`add-cbrt-cube_binary64`
36×	`add-cube-cbrt_binary64`
33×	`prod-exp_binary64`
27×	`associate-r_binary64`
21×	`associate-l_binary64`
17×	`1-exp_binary64` `rec-exp_binary64`
16×	`difference-of-squares_binary64`
14×	`cbrt-undiv_binary64`
11×	`pow1_binary64`
9×	`cbrt-unprod_binary64` `distribute-lft-out--_binary64`
7×	`associate-/r*_binary64` `associate-/r/_binary64` `unswap-sqr_binary64`
6×	`associate-/l*_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-flip_binary64` `frac-times_binary64` `-commutative_binary64`
1×	`difference-of-sqr-1_binary64` `inv-pow_binary64`

Counts

4 → 188

Calls

4 calls:

6.0ms	(/.f64 v (-.f64 1 m))
22.0ms	(.f64 (-.f64 (/.f64 1 (.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))) 1) m)
13.0ms	(/.f64 1 (*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m))))
16.0ms	(*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify78.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4953	1874
1	4953	1874

prune88.0ms

Filtered

118 candidates to 200 candidates (-69.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	200	9	209

Merged error: 0b

Counts

209 → 9

regimes119.0ms

Accuracy

0% (0.2b 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	32	11
1	32	11

end0.0ms

sample514.0ms

Algorithm

intervals

Results

238.0ms	8000×	body	80	valid
144.0ms	8048×	pre	80	true
1.0ms	48×	body	80	invalid

Details

analyze53.0ms

sample23.0ms

simplify588.0ms

prune6.0ms

localize9.0ms

rewrite33.0ms

series44.0ms

simplify45.0ms

prune68.0ms

localize7.0ms

rewrite37.0ms

series17.0ms

simplify58.0ms

prune70.0ms

localize8.0ms

rewrite52.0ms

series33.0ms

simplify50.0ms

prune88.0ms

localize9.0ms

rewrite66.0ms

series24.0ms

simplify78.0ms

prune88.0ms

regimes119.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample514.0ms

Profiling