Details

analyze68.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	268	10
1	268	10

prune7.0ms

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64_520` `add-cbrt-cube_binary64_546` `associate-r_binary64_633` `add-exp-log_binary64_538`
5×	`*-un-lft-identity_binary64_574` `add-sqr-sqrt_binary64_559`
3×	`cbrt-unprod_binary64_543` `pow-prod-down_binary64_501` `prod-exp_binary64_525`
2×	`add-cube-cbrt_binary64_545` `sub-neg_binary64_578` `difference-of-squares_binary64_603` `associate-*r/_binary64_635`
1×	`flip3--_binary64_573` `associate-l_binary64_634` `distribute-lft-out--_binary64_619` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617` `flip--_binary64_600` `*-commutative_binary64_642` `add-log-exp_binary64_539`

Counts

1 → 25

Calls

1 calls:

7.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4937	312
1	4937	312

prune116.0ms

Filtered

17 candidates to 28 candidates (-64.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	8	29

Merged error: 0.0b

Counts

29 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 y y))
5.5b	(.f64 x (-.f64 y (.f64 y y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_559`
6×	`*-un-lft-identity_binary64_574`
5×	`associate-r_binary64_633`
4×	`add-cube-cbrt_binary64_545` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `add-exp-log_binary64_538` `add-log-exp_binary64_539`
3×	`associate-l_binary64_634` `sub-neg_binary64_578`
2×	`flip3--_binary64_573` `distribute-rgt-out--_binary64_621` `flip--_binary64_600` `difference-of-squares_binary64_603` `associate-*r/_binary64_635`
1×	`unswap-sqr_binary64_602` `cbrt-unprod_binary64_543` `diff-log_binary64_490` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617` `*-commutative_binary64_642` `pow-prod-down_binary64_501` `prod-exp_binary64_525`

Counts

2 → 37

Calls

2 calls:

4.0ms	(-.f64 y (*.f64 y y))
13.0ms	(.f64 x (-.f64 y (.f64 y y)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(-.f64 y (*.f64 y y))
42.0ms	(.f64 x (-.f64 y (.f64 y y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5101	497

prune145.0ms

Filtered

27 candidates to 43 candidates (-59.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	43	8	51

Merged error: 0.0b

Counts

51 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 y))
0.0b	(sqrt.f64 (-.f64 1 y))
0.1b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
0.1b	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_559` `sqrt-prod_binary64_553`
22×	`*-un-lft-identity_binary64_574`
20×	`pow1_binary64_520`
18×	`add-cbrt-cube_binary64_546` `sqrt-div_binary64_554` `associate-r_binary64_633` `add-exp-log_binary64_538`
10×	`add-cube-cbrt_binary64_545` `associate-*r/_binary64_635`
9×	`flip3--_binary64_573` `cbrt-unprod_binary64_543` `flip--_binary64_600` `pow-prod-down_binary64_501` `prod-exp_binary64_525`
8×	`difference-of-squares_binary64_603`
4×	`frac-times_binary64_566` `distribute-lft-out--_binary64_619` `add-log-exp_binary64_539`
2×	`rem-sqrt-square_binary64_562` `associate-l_binary64_634` `sqrt-pow1_binary64_555` `pow1/2_binary64_510` `associate-l/_binary64_636` `-commutative_binary64_642`

Counts

4 → 97

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 1 y))
3.0ms	(sqrt.f64 (-.f64 1 y))
15.0ms	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
9.0ms	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt.f64 (-.f64 1 y))
12.0ms	(sqrt.f64 (-.f64 1 y))
33.0ms	(.f64 (.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
53.0ms	(.f64 (.f64 x y) (sqrt.f64 (-.f64 1 y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5162	1669

prune21.0ms

Filtered: 71 candidates to 109 candidates (-53.5%)

Details

analyze68.0ms

sample18.0ms

simplify28.0ms

prune7.0ms

localize7.0ms

rewrite8.0ms

series37.0ms

simplify76.0ms

prune116.0ms

localize7.0ms

rewrite18.0ms

series69.0ms

simplify64.0ms

prune145.0ms

localize11.0ms

rewrite35.0ms

series112.0ms

simplify69.0ms

prune21.0ms

Profiling