Details

analyze480.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

sample55.0ms

Algorithm

intervals

Results

18.0ms	101×	body	2560	nan
12.0ms	80×	body	1280	nan
9.0ms	256×	body	80	valid
4.0ms	36×	body	640	nan
2.0ms	22×	body	320	nan
1.0ms	15×	body	160	nan
0.0ms	10×	body	80	nan

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5257	9

prune2.0ms

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: 31.4b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

29.3b

(sqrt.f64 (-.f64 (*.f64 x x) 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
2×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
1×	`add-log-exp_binary64` `pow1/2_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

1 → 16

Calls

1 calls:

5.0ms

(sqrt.f64 (-.f64 (*.f64 x x) 1.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(sqrt.f64 (-.f64 (*.f64 x x) 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5124	182

prune30.0ms

Filtered

16 candidates to 19 candidates (-18.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	1	20

Merged error: 0b

Counts

20 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 1.0))) (sqrt.f64 (-.f64 x (sqrt.f64 1.0))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`sqrt-prod_binary64`
12×	`sqrt-div_binary64`
9×	`-un-lft-identity_binary64` `associate-r*_binary64`
7×	`associate-l_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `flip-+_binary64`
2×	`pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `associate-l/_binary64`
1×	`add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 42

Calls

1 calls:

13.0ms

(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 1.0))) (sqrt.f64 (-.f64 x (sqrt.f64 1.0))))

series18.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 1.0))) (sqrt.f64 (-.f64 x (sqrt.f64 1.0))))

simplify41.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4984	665
1	4984	665

prune45.0ms

Filtered

31 candidates to 45 candidates (-45.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	1	46

Merged error: 0b

Counts

46 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	14
1	23	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

542.0ms	2929×	body	2560	nan
381.0ms	2531×	body	1280	nan
305.0ms	8000×	body	80	valid
136.0ms	1158×	body	640	nan
57.0ms	630×	body	320	nan
18.0ms	297×	body	160	nan
9.0ms	279×	body	80	nan

Details

analyze480.0ms

sample55.0ms

simplify70.0ms

prune2.0ms

localize9.0ms

rewrite5.0ms

series5.0ms

simplify37.0ms

prune30.0ms

localize12.0ms

rewrite15.0ms

series18.0ms

simplify41.0ms

prune45.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling