Details

analyze40.0ms (4.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.0ms (1.7%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify9.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11
3	12	11

prune4.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x 1))
0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite71.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

26×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
13×	`*-un-lft-identity_binary64`
10×	`associate-l_binary64`
7×	`add-cube-cbrt_binary64`

Counts

2 → 56

Calls

2 calls:

11.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (-.f64 x 1))

Compiler

Compiled 602 to 399 computations (33.7% saved)

series32.0ms (3.3%)

Error

Counts

2 → 9

Calls

2 calls:

21.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
5.0ms	(sqrt.f64 (-.f64 x 1))

Compiler

Compiled 173 to 133 computations (23.1% saved)

simplify105.0ms (10.8%)

Algorithm

1×	egg-herbie

Rules

625×	`distribute-rgt-in_binary64`
491×	`distribute-lft-in_binary64`
350×	`associate-l_binary64`
251×	`sub-neg_binary64`
245×	`unswap-sqr_binary64`

Counts

65 → 51

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	89	784
1	170	769
2	388	769
3	741	769
4	1742	759
5	4358	759
6	4637	759
7	4846	759

prune30.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Error

Counts

52 → 2

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	0.2b	(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 497 to 326 computations (34.4% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

rewrite23.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`*-un-lft-identity_binary64`
6×	`add-log-exp_binary64`
4×	`cancel-sign-sub-inv_binary64`
4×	`add-sqr-sqrt_binary64`
2×	`distribute-lft-out--_binary64`

Counts

1 → 20

Calls

1 calls:

9.0ms

(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 266 to 204 computations (23.3% saved)

series14.0ms (1.4%)

Error

Counts

1 → 7

Calls

1 calls:

11.0ms

(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 82 to 63 computations (23.2% saved)

simplify72.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

414×	`associate-+l+_binary64`
405×	`times-frac_binary64`
366×	`associate-+r+_binary64`
323×	`distribute-neg-in_binary64`
304×	`*-commutative_binary64`

Counts

27 → 18

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	348
1	132	317
2	317	317
3	1289	312
4	3088	312
5	4835	312
6	4975	312

prune10.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	18	2	20

Error

Counts

20 → 2

Alt Table

Status	Error	Program
	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
	0.2b	(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 159 to 123 computations (22.6% saved)

regimes72.0ms (7.4%)

Accuracy

Total 0.4b remaining (98.7%)

Threshold costs 0.4b (98.7%)

Compiler

Compiled 585 to 425 computations (27.4% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`distribute-neg-in_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	20	10
3	28	10
4	31	10
5	32	10
6	30	10

end1.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

sample463.0ms (47.4%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 34 to 26 computations (23.5% saved)

Details

analyze40.0ms (4.1%)

sample16.0ms (1.7%)

simplify9.0ms (0.9%)

prune4.0ms (0.4%)

localize6.0ms (0.6%)

rewrite71.0ms (7.3%)

series32.0ms (3.3%)

simplify105.0ms (10.8%)

prune30.0ms (3.1%)

localize4.0ms (0.4%)

rewrite23.0ms (2.4%)

series14.0ms (1.4%)

simplify72.0ms (7.4%)

prune10.0ms (1%)

regimes72.0ms (7.4%)

simplify3.0ms (0.3%)

end1.0ms (0.1%)

sample463.0ms (47.4%)

Profiling