Details

analyze36.0ms (2%)

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)

sample66.0ms (3.7%)

Algorithm

1×

intervals

Results

60.0ms

256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify8.0ms (0.5%)

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

prune1.0ms (0.1%)

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)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite36.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-sqr-sqrt_binary64`
14×	`sqrt-prod_binary64`
10×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`

Counts

1 → 37

Calls

1 calls:

9.0ms

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

Compiler

Compiled 389 to 254 computations (34.7% saved)

series11.0ms (0.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

6.0ms

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

Compiler

Compiled 109 to 85 computations (22% saved)

simplify152.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

632×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
340×	`associate-l_binary64`
262×	`associate-/r*_binary64`
245×	`unswap-sqr_binary64`

Counts

43 → 26

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	576
1	149	564
2	350	564
3	710	564
4	1724	554
5	4322	554
6	4618	554
7	4931	554
8	4834	554

prune74.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Error

Counts

27 → 3

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
	31.6b	(sqrt.f64 (-.f64 (*.f64 x x) x))
▶	0.4b	(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 268 to 177 computations (34% saved)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify54.0ms (3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	31.6b	(sqrt.f64 (-.f64 (*.f64 x x) x))
✓	0.4b	(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) x)
29.4b	(sqrt.f64 (-.f64 (*.f64 x x) x))

rewrite47.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`sqrt-prod_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 33

Calls

2 calls:

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

Compiler

Compiled 410 to 119 computations (71% saved)

series15.0ms (0.8%)

Error

Counts

2 → 12

Calls

2 calls:

7.0ms	(-.f64 (*.f64 x x) x)
5.0ms	(sqrt.f64 (-.f64 (*.f64 x x) x))

Compiler

Compiled 169 to 127 computations (24.9% saved)

simplify80.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

485×	`unsub-neg_binary64`
451×	`distribute-rgt-in_binary64`
385×	`distribute-lft-in_binary64`
344×	`*-commutative_binary64`
241×	`difference-of-squares_binary64`

Counts

45 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	490
1	149	451
2	337	451
3	1173	451
4	3463	451
5	4662	451
6	4791	451

prune10.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	25	3	28

Error

Counts

28 → 3

Alt Table

Status	Error	Program
	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
	31.6b	(sqrt.f64 (-.f64 (*.f64 x x) x))
	0.4b	(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

Compiler

Compiled 205 to 107 computations (47.8% saved)

regimes111.0ms (6.2%)

Accuracy

Total 0.4b remaining (99.6%)

Threshold costs 0.4b (99.6%)

Compiler

Compiled 551 to 389 computations (29.4% saved)

simplify5.0ms (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

end0.0ms (0%)

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

sample1.1s (59.5%)

Algorithm

1×

intervals

Results

335.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 41 to 30 computations (26.8% saved)

Details

analyze36.0ms (2%)

sample66.0ms (3.7%)

simplify8.0ms (0.5%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

rewrite36.0ms (2%)

series11.0ms (0.6%)

simplify152.0ms (8.5%)

prune74.0ms (4.1%)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify54.0ms (3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite47.0ms (2.7%)

series15.0ms (0.8%)

simplify80.0ms (4.5%)

prune10.0ms (0.6%)

regimes111.0ms (6.2%)

simplify5.0ms (0.3%)

end0.0ms (0%)

sample1.1s (59.5%)

Profiling