Details

analyze54.0ms

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

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	260×	pre	80	true
0.0ms	4×	body	80	invalid

simplify739.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (181.0ms)

Iter	Nodes	Cost
0	4945	16
1	4945	16

prune4.0ms

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) m)

rewrite32.0ms

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

series92.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(*.f64 m (-.f64 1 m))
27.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
37.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

simplify76.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5285	1058

prune75.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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)))
25.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
10.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

series142.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 m (-.f64 1 m))
32.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
35.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
45.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

simplify105.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5515	2326

prune106.0ms

Filtered

98 candidates to 155 candidates (-58.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	157	7	164

Merged error: 0b

Counts

164 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac_binary64`
26×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-/r*_binary64`
6×	`associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-*r/_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

13.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)) m)
7.0ms	(*.f64 m (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))

series90.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)) m)
34.0ms	(*.f64 m (-.f64 1 m))
32.0ms	(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))

simplify72.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5233	1469

prune64.0ms

Filtered

67 candidates to 96 candidates (-43.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0b

Counts

103 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

12.0ms	(-.f64 (.f64 (/.f64 m v) (.f64 m (-.f64 1 m))) m)
7.0ms	(*.f64 m (-.f64 1 m))
11.0ms	(.f64 (/.f64 m v) (.f64 m (-.f64 1 m)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(-.f64 (.f64 (/.f64 m v) (.f64 m (-.f64 1 m))) m)
28.0ms	(*.f64 m (-.f64 1 m))
32.0ms	(.f64 (/.f64 m v) (.f64 m (-.f64 1 m)))

simplify74.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5009	1259

prune51.0ms

Filtered

59 candidates to 90 candidates (-52.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	90	6	96

Merged error: 0b

Counts

96 → 6

regimes42.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms

sample532.0ms

Algorithm

intervals

Results

233.0ms	8000×	body	80	valid
154.0ms	8046×	pre	80	true
1.0ms	46×	body	80	invalid

Details

analyze54.0ms

sample21.0ms

simplify739.0ms

prune4.0ms

localize9.0ms

rewrite32.0ms

series92.0ms

simplify76.0ms

prune75.0ms

localize8.0ms

rewrite55.0ms

series142.0ms

simplify105.0ms

prune106.0ms

localize7.0ms

rewrite35.0ms

series90.0ms

simplify72.0ms

prune64.0ms

localize7.0ms

rewrite33.0ms

series80.0ms

simplify74.0ms

prune51.0ms

regimes42.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample532.0ms

Profiling