Details

analyze101.0ms (7.9%)

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample770.0ms (60.2%)

Results

730.0ms	8256×	body	128	valid
13.0ms	181×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

24.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	24.8b	(sqrt.f64 (fma.f64 x x y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.1b	(sqrt.f64 (fma.f64 x x y))

series16.0ms (1.3%)

Counts

1 → 16

Calls

1 calls:

16.0ms

(sqrt.f64 (fma.f64 x x y))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`sqrt-prod_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-cube-cbrt_binary64`
2×	`pow1_binary64`

Counts

1 → 15

Calls

1 calls:

1.0ms

(sqrt.f64 (fma.f64 x x y))

simplify53.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

653×	`times-frac_binary64`
423×	`associate-/l*_binary64`
423×	`cancel-sign-sub-inv_binary64`
379×	`unswap-sqr_binary64`
345×	`fma-neg_binary64`

Counts

31 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	471
1	174	463
2	445	436
3	1589	434
4	4455	434
5	5259	434

prune25.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Alt Table

Status	Error	Program
✓	24.8b	(sqrt.f64 (fma.f64 x x y))
▶	22.3b	(*.f64 1 (hypot.f64 (sqrt.f64 y) x))
	39.0b	(neg.f64 x)
	44.5b	x

Compiler

Compiled 609 to 315 computations (48.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (sqrt.f64 y) x)

series31.0ms (2.4%)

Counts

1 → 13

Calls

1 calls:

31.0ms

(hypot.f64 (sqrt.f64 y) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(hypot.f64 (sqrt.f64 y) x)

simplify68.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg_binary64`
612×	`associate-/l*_binary64`
440×	`cancel-sign-sub-inv_binary64`
431×	`associate-/r*_binary64`
319×	`associate-*l/_binary64`

Counts

23 → 34

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	365
1	169	346
2	453	336
3	1702	334
4	4706	328
5	4951	328
6	5046	328

prune20.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Error

Counts

38 → 4

Alt Table

Status	Error	Program
✓	24.8b	(sqrt.f64 (fma.f64 x x y))
✓	22.3b	(*.f64 1 (hypot.f64 (sqrt.f64 y) x))
▶	39.0b	(neg.f64 x)
	44.5b	x

Compiler

Compiled 548 to 339 computations (38.1% saved)

localize1.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Status	Error	Program
✓	24.8b	(sqrt.f64 (fma.f64 x x y))
✓	22.3b	(*.f64 1 (hypot.f64 (sqrt.f64 y) x))
✓	39.0b	(neg.f64 x)
▶	44.5b	x

Compiler

Compiled 25 to 17 computations (32% saved)

localize0.0ms (0%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Status	Error	Program
✓	24.8b	(sqrt.f64 (fma.f64 x x y))
✓	22.3b	(*.f64 1 (hypot.f64 (sqrt.f64 y) x))
✓	39.0b	(neg.f64 x)
✓	44.5b	x

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes115.0ms (9%)

Accuracy

Total 0.1b remaining (96.3%)

Threshold costs 0.1b (96.3%)

Counts

10 → 3

Compiler

Compiled 445 to 271 computations (39.1% saved)

bsearch8.0ms (0.6%)

Steps

Iters	Range		Point
1	3.839285416634342e+124	4.2100282570577324e+124	4.024656836846037e+124
3	-1.8020552785373105e+155	-1.5142328128332768e+153	-9.28076713637397e+153

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	17	23
2	19	23
3	20	23
4	20	23

end49.0ms (3.8%)

Compiler: Compiled 58 to 37 computations (36.2% saved)

Details

analyze101.0ms (7.9%)

sample770.0ms (60.2%)

simplify6.0ms (0.4%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

series16.0ms (1.3%)

rewrite1.0ms (0.1%)

simplify53.0ms (4.1%)

prune25.0ms (1.9%)

localize4.0ms (0.3%)

series31.0ms (2.4%)

rewrite1.0ms (0%)

simplify68.0ms (5.3%)

prune20.0ms (1.5%)

localize1.0ms (0.1%)

prune2.0ms (0.1%)

localize0.0ms (0%)

prune2.0ms (0.1%)

regimes115.0ms (9%)

bsearch8.0ms (0.6%)

simplify3.0ms (0.2%)

end49.0ms (3.8%)

Profiling