Details

analyze8.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample894.0ms (44.4%)

Results

882.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 30 computations (21.1% saved)

preprocess35.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1014×	`fma-neg_binary64`
643×	`fma-def_binary64`
397×	`div-sub_binary64`
297×	`cancel-sign-sub-inv_binary64`
168×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	31	19
2	56	19
3	79	19
4	94	19
5	113	19
6	159	19
7	249	19
8	414	19
9	665	19
10	1529	19
11	3538	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify27.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1014×	`fma-neg_binary64`
643×	`fma-def_binary64`
397×	`div-sub_binary64`
297×	`cancel-sign-sub-inv_binary64`
168×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	31	19
2	56	19
3	79	19
4	94	19
5	113	19
6	159	19
7	249	19
8	414	19
9	665	19
10	1529	19
11	3538	19

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
✓	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	15.0b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series8.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

1.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))	x	-inf
1.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))	x	inf
1.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))	x	0
1.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)	x	-inf
1.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)	x	inf

rewrite63.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`unpow-prod-down_binary64`
418×	`log-prod_binary64`
268×	`pow2_binary64`
188×	`expm1-udef_binary64`
188×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	225	35
2	2518	35

Stop Event

1×	node limit

Counts

4 → 165

simplify36.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-neg_binary64`
739×	`cancel-sign-sub-inv_binary64`
417×	`times-frac_binary64`
305×	`fma-def_binary64`
185×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	459
1	131	417
2	314	389
3	855	369
4	2767	369

Stop Event

1×	node limit

Counts

213 → 197

prune207.0ms (10.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	2	198

Error

Counts

198 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)
	1.4b	(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)

Status

Error

Program

▶

0.0b

(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)

1.4b

(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)

Compiler

Compiled 4249 to 3305 computations (22.2% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	1.4b	(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	15.0b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
✓	15.5b	(log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series12.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

5.0ms	(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))	x	-inf
1.0ms	(log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))	x	-inf
1.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))	x	-inf
1.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))	x	inf
1.0ms	(log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))	x	inf

rewrite51.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`log-prod_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
201×	`pow1/3_binary64`
183×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	246	36
2	2727	36

Stop Event

1×	node limit

Counts

3 → 101

simplify34.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
298×	`cancel-sign-sub-inv_binary64`
257×	`fma-neg_binary64`
255×	`associate-l_binary64`
218×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	560
1	244	546
2	663	510
3	1947	476

Stop Event

1×	node limit

Counts

137 → 146

prune135.0ms (6.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	183	2	185

Error

Counts

185 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)
▶	1.4b	(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)

Status

Error

Program

✓

0.0b

(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)

▶

1.4b

(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)

Compiler

Compiled 3906 to 3035 computations (22.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 99229/100000 1)
✓	0.1b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))
	0.2b	(fma.f64 x 27061/100000 230753/100000)

series4.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

1.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))	x	0
1.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))	x	-inf
1.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))	x	inf
1.0ms	(fma.f64 x 99229/100000 1)	x	-inf
0.0ms	(fma.f64 x 99229/100000 1)	x	inf

rewrite41.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
153×	`log1p-udef_binary64`
87×	`add-sqr-sqrt_binary64`
82×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	183	17
2	2055	17

Stop Event

1×	node limit

Counts

2 → 56

simplify26.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-neg_binary64`
621×	`cancel-sign-sub-inv_binary64`
322×	`associate-/r*_binary64`
264×	`fma-def_binary64`
200×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	217
1	99	195
2	242	191
3	696	183
4	2124	183

Stop Event

1×	node limit

Counts

80 → 75

prune78.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Error

Counts

114 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)
✓	1.4b	(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)

Status

Error

Program

✓

0.0b

(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)

✓

1.4b

(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)

Compiler

Compiled 1782 to 1401 computations (21.4% saved)

regimes263.0ms (13.1%)

Accuracy

Total 0.0b remaining (22.9%)

Threshold costs 0.0b (22.9%)

Counts

132 → 1

Compiler

Compiled 4568 to 3528 computations (22.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	18	23
2	22	23
3	24	23
4	25	23

Stop Event

1×

saturated

end57.0ms (2.8%)

Stop Event

1×

done

Compiler

Compiled 63 to 48 computations (23.8% saved)

Details

analyze8.0ms (0.4%)

sample894.0ms (44.4%)

preprocess35.0ms (1.7%)

simplify27.0ms (1.4%)

prune3.0ms (0.2%)

localize8.0ms (0.4%)

series8.0ms (0.4%)

rewrite63.0ms (3.1%)

simplify36.0ms (1.8%)

prune207.0ms (10.3%)

localize12.0ms (0.6%)

series12.0ms (0.6%)

rewrite51.0ms (2.5%)

simplify34.0ms (1.7%)

prune135.0ms (6.7%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite41.0ms (2%)

simplify26.0ms (1.3%)

prune78.0ms (3.9%)

regimes263.0ms (13.1%)

simplify2.0ms (0.1%)

end57.0ms (2.8%)

Profiling