Details

analyze76.0ms (8.2%)

Algorithm

1×

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
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
74.9%	15.6%	9.5%	9
79.6%	10.9%	9.5%	10
81.2%	7.8%	11%	11
83.5%	5.5%	11%	12
84.3%	3.9%	11.8%	13
85.5%	2.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample19.0ms (2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify9.0ms (1%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`distribute-lft-in_binary64`
3×	`distribute-rgt-in_binary64`
3×	`*-lft-identity_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	16	7
2	16	7
3	29	7
4	25	7
5	23	7

prune3.0ms (0.3%)

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

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 x (+.f64 y 1))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize3.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 y 1))

rewrite13.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 23

Calls

1 calls:

4.0ms

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

Compiler

Compiled 230 to 155 computations (32.6% saved)

series13.0ms (1.4%)

Error

Counts

1 → 9

Calls

1 calls:

10.0ms

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

Compiler

Compiled 113 to 69 computations (38.9% saved)

simplify82.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

654×	`distribute-rgt-in_binary64`
581×	`distribute-lft-in_binary64`
418×	`associate-/r/_binary64`
277×	`times-frac_binary64`
273×	`distribute-rgt-out_binary64`

Counts

32 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	287
1	118	257
2	329	257
3	644	257
4	1914	257
5	2061	257
6	2914	257
7	4850	257
8	4967	257

prune13.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (+.f64 y 1))
▶	17.2b	(.f64 (.f64 x (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 y 1)))

Compiler

Compiled 212 to 144 computations (32.1% saved)

localize7.0ms (0.8%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (sqrt.f64 (+.f64 1 y)))
0.1b	(.f64 (.f64 x (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 y 1)))

rewrite44.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`associate-r_binary64`
14×	`sqrt-div_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`associate-*r/_binary64`

Counts

2 → 55

Calls

2 calls:

10.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 y 1)))
5.0ms	(*.f64 x (sqrt.f64 (+.f64 1 y)))

Compiler

Compiled 984 to 734 computations (25.4% saved)

series32.0ms (3.4%)

Error

Counts

2 → 18

Calls

2 calls:

15.0ms	(.f64 (.f64 x (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 y 1)))
12.0ms	(*.f64 x (sqrt.f64 (+.f64 1 y)))

Compiler

Compiled 410 to 280 computations (31.7% saved)

simplify107.0ms (11.6%)

Algorithm

1×	egg-herbie

Rules

333×	`*-commutative_binary64`
296×	`distribute-rgt-in_binary64`
290×	`distribute-lft-in_binary64`
259×	`sub-neg_binary64`
242×	`associate-*r/_binary64`

Counts

73 → 51

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1001
1	274	922
2	768	900
3	1607	894
4	1925	894
5	2876	894
6	4562	894
7	4903	894

prune17.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	51	2	53

Error

Counts

53 → 2

Alt Table

Status	Error	Program
	0.0b	(*.f64 x (+.f64 y 1))
	17.2b	(.f64 (.f64 x (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 y 1)))

Compiler

Compiled 545 to 381 computations (30.1% saved)

regimes44.0ms (4.8%)

Accuracy

Total 0.0b remaining (23.6%)

Threshold costs 0.0b (23.6%)

Compiler

Compiled 412 to 289 computations (29.9% saved)

simplify4.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

sample437.0ms (47.3%)

Algorithm

1×

intervals

Results

203.0ms	8000×	body	128	valid
2.0ms	77×	body	128	invalid

Compiler

Compiled 37 to 27 computations (27% saved)

Details

analyze76.0ms (8.2%)

sample19.0ms (2%)

simplify9.0ms (1%)

prune3.0ms (0.3%)

localize3.0ms (0.4%)

rewrite13.0ms (1.4%)

series13.0ms (1.4%)

simplify82.0ms (8.9%)

prune13.0ms (1.4%)

localize7.0ms (0.8%)

rewrite44.0ms (4.8%)

series32.0ms (3.4%)

simplify107.0ms (11.6%)

prune17.0ms (1.8%)

regimes44.0ms (4.8%)

simplify4.0ms (0.4%)

end0.0ms (0%)

sample437.0ms (47.3%)

Profiling