Details

analyze78.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

sample19.0ms

Algorithm

intervals

Results

6.0ms	187×	body	80	valid
3.0ms	30×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	9×	body	1280	valid
1.0ms	11×	body	160	valid

simplify155.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	5619	11

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: 25.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
3.0b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
8.6b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r_binary64` `difference-of-squares_binary64` `times-frac_binary64` `associate-l/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(*.f64 (-.f64 1 x) y)
9.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
10.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 (-.f64 1 x) y)
11.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
9.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5649	730

prune66.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	3	74

Merged error: 0.2b

Counts

74 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x -1) (+.f64 1 y))
0.1b	(*.f64 (/.f64 (+.f64 x -1) (+.f64 1 y)) y)
5.2b	(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) (+.f64 1 y)) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity_binary64`
41×	`times-frac_binary64`
39×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
25×	`add-cube-cbrt_binary64`
20×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`difference-of-sqr--1_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
4×	`flip3-+_binary64` `associate-/r*_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`associate-r_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 101

Calls

3 calls:

8.0ms	(/.f64 (+.f64 x -1) (+.f64 1 y))
12.0ms	(*.f64 (/.f64 (+.f64 x -1) (+.f64 1 y)) y)
6.0ms	(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) (+.f64 1 y)) y))

series23.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 (+.f64 x -1) (+.f64 1 y))
6.0ms	(*.f64 (/.f64 (+.f64 x -1) (+.f64 1 y)) y)
11.0ms	(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) (+.f64 1 y)) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5107	1234

prune61.0ms

Filtered

77 candidates to 110 candidates (-42.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	110	3	113

Merged error: 0.2b

Counts

113 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))
3.0b	(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

186×	`times-frac_binary64`
173×	`*-un-lft-identity_binary64`
141×	`add-sqr-sqrt_binary64`
75×	`add-cube-cbrt_binary64`
40×	`difference-of-squares_binary64`
21×	`distribute-lft-out_binary64`
18×	`distribute-lft-out--_binary64`
16×	`associate-/r*_binary64`
8×	`div-inv_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `div-sub_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate--r-_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 155

Calls

2 calls:

12.0ms	(/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))
34.0ms	(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))
14.0ms	(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5317	2778

prune264.0ms

Filtered

93 candidates to 161 candidates (-73.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0.2b

Counts

164 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
4×	`distribute-lft-out_binary64`
3×	`distribute-lft-out--_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip-+_binary64` `frac-sub_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `times-frac_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

2 → 33

Calls

2 calls:

13.0ms	(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
7.0ms	(+.f64 x (/.f64 1 y))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
3.0ms	(+.f64 x (/.f64 1 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5042	402

prune20.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	36	6	42

Merged error: 0.2b

Counts

42 → 6

regimes134.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 14.4b

bsearch30.0ms

Steps

Iters	Range		Point
9	231.25794026501276	9969352973.097353	200068343.97473368
10	-2882889945.7634163	-0.0011850836810955812	-308522397.75960004

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

end0.0ms

sample522.0ms

Algorithm

intervals

Results

189.0ms	6088×	body	80	valid
83.0ms	748×	body	640	valid
54.0ms	367×	body	1280	valid
42.0ms	495×	body	320	valid
17.0ms	302×	body	160	valid

Details

analyze78.0ms

sample19.0ms

simplify155.0ms

prune4.0ms

localize7.0ms

rewrite28.0ms

series25.0ms

simplify41.0ms

prune66.0ms

localize7.0ms

rewrite31.0ms

series23.0ms

simplify55.0ms

prune61.0ms

localize7.0ms

rewrite56.0ms

series21.0ms

simplify59.0ms

prune264.0ms

localize6.0ms

rewrite21.0ms

series8.0ms

simplify48.0ms

prune20.0ms

regimes134.0ms

bsearch30.0ms

simplify2.0ms

end0.0ms

sample522.0ms

Profiling