Details

analyze12.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample22.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5733	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.4b

Counts

2 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 4 (/.f64 1 (*.f64 i i)))
0.4b	(/.f64 1 (*.f64 i i))
0.4b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
18×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`
15×	`difference-of-squares_binary64`
11×	`pow1_binary64`
10×	`add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
9×	`associate-/r*_binary64`
7×	`div-inv_binary64`
6×	`associate-/l*_binary64` `pow-flip_binary64`
5×	`add-log-exp_binary64` `div-exp_binary64`
3×	`cbrt-undiv_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `inv-pow_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

3 → 97

Calls

3 calls:

6.0ms	(-.f64 4 (/.f64 1 (*.f64 i i)))
5.0ms	(/.f64 1 (*.f64 i i))
8.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

series10.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(-.f64 4 (/.f64 1 (*.f64 i i)))
2.0ms	(/.f64 1 (*.f64 i i))
4.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

simplify52.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5087	1001

prune79.0ms

Filtered

62 candidates to 106 candidates (-71.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	106	2	108

Merged error: 0b

Counts

108 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 2 (/.f64 1 i))
0.0b	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
0.1b	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

109×	`add-sqr-sqrt_binary64`
100×	`*-un-lft-identity_binary64`
96×	`times-frac_binary64`
48×	`add-cube-cbrt_binary64`
30×	`associate-r_binary64`
21×	`associate-l_binary64` `difference-of-squares_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`div-inv_binary64`
16×	`distribute-lft-out_binary64`
14×	`distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
8×	`associate-/r/_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `+-commutative_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 174

Calls

4 calls:

6.0ms	(+.f64 2 (/.f64 1 i))
29.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
10.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
9.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))

series12.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+.f64 2 (/.f64 1 i))
5.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
2.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
2.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))

simplify59.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4894	2334
1	4894	2334

prune192.0ms

Filtered

126 candidates to 186 candidates (-47.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	186	2	188

Merged error: 0b

Counts

188 → 2

regimes22.0ms

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	33	15
1	33	15

end0.0ms

sample776.0ms

Algorithm

intervals

Results

393.0ms	8000×	body	80	valid
284.0ms	8000×	pre	80	true

Details

analyze12.0ms

sample22.0ms

simplify54.0ms

prune7.0ms

localize5.0ms

rewrite22.0ms

series10.0ms

simplify52.0ms

prune79.0ms

localize8.0ms

rewrite62.0ms

series12.0ms

simplify59.0ms

prune192.0ms

regimes22.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample776.0ms

Profiling