Details

analyze52.0ms (3.8%)

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
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample702.0ms (51.2%)

Results

674.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))

series9.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(/.f64 x (+.f64 y x))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 35

Calls

1 calls:

3.0ms

(/.f64 x (+.f64 y x))

simplify45.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
547×	`associate-/r*_binary64`
430×	`associate-/l/_binary64`
325×	`associate-/r/_binary64`
276×	`cancel-sign-sub-inv_binary64`

Counts

59 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	477	833
3	1577	791
4	4946	791

prune31.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	3	69

Error

Counts

69 → 3

Alt Table

Status	Error	Program
	32.1b	(-.f64 1 (/.f64 y x))
▶	31.5b	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 905 to 298 computations (67.1% saved)

localize9.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y)))
✓	0.1b	(fma.f64 (/.f64 x y) (/.f64 x y) 1)
✓	0.1b	(*.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y))

series44.0ms (3.2%)

Counts

3 → 72

Calls

3 calls:

16.0ms	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y)))
15.0ms	(*.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y))
12.0ms	(fma.f64 (/.f64 x y) (/.f64 x y) 1)

rewrite35.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
17×	`add-cbrt-cube_binary64`
17×	`add-exp-log_binary64`
14×	`associate-r_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 76

Calls

3 calls:

17.0ms	(*.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y))
13.0ms	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y)))
0.0ms	(fma.f64 (/.f64 x y) (/.f64 x y) 1)

simplify239.0ms (17.4%)

Algorithm

1×	egg-herbie

Rules

604×	`distribute-rgt-in_binary64`
579×	`distribute-lft-in_binary64`
390×	`times-frac_binary64`
363×	`associate-/l*_binary64`
307×	`fma-def_binary64`

Counts

148 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	3240
1	371	2728
2	1352	2537
3	4770	2533
4	4993	2533
5	4973	2533

prune78.0ms (5.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	140	3	143

Error

Counts

143 → 3

Alt Table

Status	Error	Program
▶	32.1b	(-.f64 1 (/.f64 y x))
✓	31.5b	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 3823 to 1411 computations (63.1% saved)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	32.1b	(-.f64 1 (/.f64 y x))
✓	31.5b	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (+.f64 (/.f64 x (neg.f64 y)) 1) (/.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes44.0ms (3.2%)

Accuracy

Total 0.0b remaining (39.8%)

Threshold costs 0.0b (39.8%)

Counts

14 → 1

Compiler

Compiled 620 to 391 computations (36.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end61.0ms (4.5%)

Compiler: Compiled 49 to 28 computations (42.9% saved)

Details

analyze52.0ms (3.8%)

sample702.0ms (51.2%)

simplify6.0ms (0.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series9.0ms (0.7%)

rewrite5.0ms (0.4%)

simplify45.0ms (3.3%)

prune31.0ms (2.2%)

localize9.0ms (0.7%)

series44.0ms (3.2%)

rewrite35.0ms (2.6%)

simplify239.0ms (17.4%)

prune78.0ms (5.7%)

localize3.0ms (0.2%)

prune2.0ms (0.1%)

regimes44.0ms (3.2%)

simplify2.0ms (0.1%)

end61.0ms (4.5%)

Profiling