Details

analyze16.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune1.0ms

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 y 500))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_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 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 y 500))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(+.f64 x (/.f64 y 500))

simplify72.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5283	164

prune10.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize3.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y 1/500))
0.2b	(*.f64 y 1/500)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 y 1/500))
4.0ms	(*.f64 y 1/500)

series31.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+.f64 x (*.f64 y 1/500))
12.0ms	(*.f64 y 1/500)

simplify95.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5053	287

prune17.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 y 1/500))
0.2b	(*.f64 y 1/500)
0.2b	(*.f64 y 1/500)
0.3b	(.f64 (sqrt.f64 (.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1_binary64`
30×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
18×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1/2_binary64`
10×	`associate-r_binary64` `pow-prod-up_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
6×	`pow-sqr_binary64`
5×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 96

Calls

4 calls:

2.0ms	(sqrt.f64 (*.f64 y 1/500))
4.0ms	(*.f64 y 1/500)
4.0ms	(*.f64 y 1/500)
8.0ms	(.f64 (sqrt.f64 (.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt.f64 (*.f64 y 1/500))
12.0ms	(*.f64 y 1/500)
12.0ms	(*.f64 y 1/500)
32.0ms	(.f64 (sqrt.f64 (.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)))

simplify86.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5039	697

prune49.0ms

Filtered

57 candidates to 108 candidates (-89.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Merged error: 0b

Counts

111 → 3

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample263.0ms

Algorithm

intervals

Results

143.0ms

8000×

body

valid

Details

analyze16.0ms

sample10.0ms

simplify12.0ms

prune1.0ms

localize8.0ms

rewrite7.0ms

series20.0ms

simplify72.0ms

prune10.0ms

localize3.0ms

rewrite7.0ms

series31.0ms

simplify95.0ms

prune17.0ms

localize6.0ms

rewrite21.0ms

series76.0ms

simplify86.0ms

prune49.0ms

regimes35.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample263.0ms

Profiling