Details

analyze258.0ms

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

prune3.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 x 2) (*.f64 y x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

7.0ms

(+.f64 (/.f64 x 2) (*.f64 y x))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+.f64 (/.f64 x 2) (*.f64 y x))

simplify82.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5180	167

prune12.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Merged error: 0b

Counts

15 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 y 1/2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 y 1/2))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(*.f64 x (+.f64 y 1/2))

simplify99.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4892	233
1	4892	233

prune21.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	1	27

Merged error: 0b

Counts

27 → 1

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms

sample397.0ms

Algorithm

intervals

Results

225.0ms	7997×	body	80	valid
8.0ms	289×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze258.0ms

sample14.0ms

simplify14.0ms

prune3.0ms

localize7.0ms

rewrite7.0ms

series32.0ms

simplify82.0ms

prune12.0ms

localize5.0ms

rewrite7.0ms

series26.0ms

simplify99.0ms

prune21.0ms

simplify5.0ms

end0.0ms

sample397.0ms

Profiling