Details

analyze260.0ms

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

sample50.0ms

Algorithm

intervals

Results

20.0ms	139×	body	2048	nan
10.0ms	256×	body	128	valid
6.0ms	57×	body	1024	nan
3.0ms	29×	body	512	nan
1.0ms	15×	body	256	nan
1.0ms	25×	body	128	nan
0.0ms	1×	body	4096	nan

simplify171.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	5001	14

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: 34.9b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

32.6b

(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

5.0ms

(sqrt.f64 (-.f64 (*.f64 x x) 1))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(sqrt.f64 (-.f64 (*.f64 x x) 1))

simplify61.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5451	282

prune17.0ms

Filtered

16 candidates to 21 candidates (-31.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	1	22

Merged error: 0b

Counts

22 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`sqrt-prod_binary64`
12×	`sqrt-div_binary64`
10×	`-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` `difference-of-sqr-1_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 43

Calls

1 calls:

13.0ms

(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

series72.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

simplify53.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4947	888
1	4947	888

prune35.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	1	47

Merged error: 0b

Counts

47 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms

sample1.5s

Algorithm

intervals

Results

595.0ms	3940×	body	2048	nan
321.0ms	8000×	body	128	valid
236.0ms	1957×	body	1024	nan
89.0ms	1007×	body	512	nan
28.0ms	486×	body	256	nan
14.0ms	476×	body	128	nan
1.0ms	7×	body	4096	nan

Details

analyze260.0ms

sample50.0ms

simplify171.0ms

prune1.0ms

localize7.0ms

rewrite6.0ms

series50.0ms

simplify61.0ms

prune17.0ms

localize8.0ms

rewrite18.0ms

series72.0ms

simplify53.0ms

prune35.0ms

simplify2.0ms

end0.0ms

sample1.5s

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