Details

analyze9.0ms (0.7%)

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)

sample906.0ms (67.7%)

Results

865.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

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

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

Error

0.5b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 x 1))
✓	0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series20.0ms (1.5%)

Counts

2 → 8

Calls

2 calls:

12.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
8.0ms	(sqrt.f64 (-.f64 x 1))

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

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 → 60

Calls

2 calls:

7.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (-.f64 x 1))

simplify129.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

725×	`associate-/l*_binary64`
567×	`fma-def_binary64`
550×	`div-sub_binary64`
395×	`associate-/r*_binary64`
324×	`fma-neg_binary64`

Counts

68 → 99

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	103	897
1	215	870
2	563	870
3	1598	855
4	4470	845
5	4799	845
6	5736	845

prune83.0ms (6.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	2	100

Error

Counts

100 → 2

Alt Table

Status	Error	Program
▶	0.8b	(-.f64 x 1/2)
	32.0b	(sqrt.f64 (*.f64 (-.f64 x 1) x))

Compiler

Compiled 1314 to 883 computations (32.8% saved)

localize2.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	0	0
Total	2	2

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	0.8b	(-.f64 x 1/2)
▶	32.0b	(sqrt.f64 (*.f64 (-.f64 x 1) x))

Compiler

Compiled 18 to 13 computations (27.8% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	29.8b	(sqrt.f64 (*.f64 (-.f64 x 1) x))

series5.0ms (0.4%)

Counts

1 → 8

Calls

1 calls:

5.0ms

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

rewrite33.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64`
2×	`sqrt-div_binary64`
2×	`associate-*l/_binary64`
2×	`sqrt-pow1_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 15

Calls

1 calls:

4.0ms

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

simplify57.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

455×	`fma-neg_binary64`
446×	`distribute-rgt-in_binary64`
369×	`distribute-lft-in_binary64`
331×	`fma-def_binary64`
282×	`difference-of-squares_binary64`

Counts

23 → 37

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	238
1	111	232
2	272	228
3	684	228
4	1676	228
5	4250	228
6	4986	228

prune13.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

Counts

39 → 2

Alt Table

Status	Error	Program
✓	0.8b	(-.f64 x 1/2)
✓	32.0b	(sqrt.f64 (*.f64 (-.f64 x 1) x))

Compiler

Compiled 395 to 247 computations (37.5% saved)

regimes14.0ms (1.1%)

Accuracy

Total 0.5b remaining (99.2%)

Threshold costs 0.5b (99.2%)

Counts

5 → 1

Compiler

Compiled 78 to 56 computations (28.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

end35.0ms (2.6%)

Compiler: Compiled 27 to 20 computations (25.9% saved)

Details

analyze9.0ms (0.7%)

sample906.0ms (67.7%)

simplify6.0ms (0.4%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series20.0ms (1.5%)

rewrite14.0ms (1%)

simplify129.0ms (9.6%)

prune83.0ms (6.2%)

localize2.0ms (0.1%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series5.0ms (0.4%)

rewrite33.0ms (2.5%)

simplify57.0ms (4.2%)

prune13.0ms (1%)

regimes14.0ms (1.1%)

simplify2.0ms (0.1%)

end35.0ms (2.6%)

Profiling