Details

analyze9.0ms (0.3%)

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)

sample890.0ms (34.2%)

Results

843.0ms

8256×

body

128

valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify25.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1040×	`fma-neg_binary64`
807×	`times-frac_binary64`
392×	`div-sub_binary64`
208×	`fma-def_binary64`
181×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	19
2	45	19
3	82	19
4	130	19
5	207	19
6	376	19
7	623	19
8	1608	19
9	3012	19

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

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

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize8.0ms (0.3%)

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)
✓	12.7b	(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series9.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
2.0ms	(fma.f64 x -27061/100000 -230753/100000)
2.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
1.0ms	(fma.f64 x 4481/100000 99229/100000)

rewrite61.0ms (2.3%)

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	2521	35

Stop Event

1×	node limit

Counts

4 → 165

Calls

4 calls:

58.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
58.0ms	(fma.f64 x 4481/100000 99229/100000)
58.0ms	(fma.f64 x -27061/100000 -230753/100000)
58.0ms	(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

simplify37.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-neg_binary64`
432×	`cancel-sign-sub-inv_binary64`
410×	`times-frac_binary64`
285×	`fma-def_binary64`
172×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	473
1	137	433
2	322	389
3	831	371
4	2523	370

Stop Event

1×	node limit

Counts

213 → 197

prune241.0ms (9.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	3	198

Error

Counts

198 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3) 1)))
	21.0b	(+.f64 x (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3))))
	29.7b	(+.f64 x (-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))

Compiler

Compiled 4290 to 3340 computations (22.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x -27061/100000 -230753/100000)
✓	0.8b	(cbrt.f64 (fma.f64 x 4481/100000 99229/100000))
✓	0.8b	(pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3)
✓	12.7b	(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3) 1))

series55.0ms (2.1%)

Counts

3 → 16

Calls

3 calls:

37.0ms

(pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3)

12.0ms

(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3) 1))

6.0ms

(cbrt.f64 (fma.f64 x 4481/100000 99229/100000))

rewrite51.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
176×	`log-pow_binary64`
126×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	287	28
2	3024	28

Stop Event

1×	node limit

Counts

3 → 98

Calls

3 calls:

49.0ms

(cbrt.f64 (fma.f64 x 4481/100000 99229/100000))

49.0ms

(pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3)

49.0ms

(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3) 1))

simplify44.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-neg_binary64`
736×	`times-frac_binary64`
361×	`fma-def_binary64`
322×	`associate-r_binary64`
307×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	400
1	255	386
2	837	369
3	3753	365

Stop Event

1×	node limit

Counts

114 → 123

prune144.0ms (5.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	160	3	163

Error

Counts

163 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3) 1)))
▶	21.0b	(+.f64 x (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3))))
	29.7b	(+.f64 x (-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))

Compiler

Compiled 3731 to 2971 computations (20.4% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x -27061/100000 -230753/100000)
✓	0.9b	(pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3)
✓	19.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))
✓	24.2b	(/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3))

series9.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

3.0ms

(/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3))

3.0ms

(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))

2.0ms

(pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3)

rewrite64.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`
203×	`log-pow_binary64`
142×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	310	43
2	3477	43

Stop Event

1×	node limit

Counts

3 → 117

Calls

3 calls:

62.0ms

(pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3)

62.0ms

(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))

62.0ms

(/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3))

simplify34.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-neg_binary64`
520×	`cancel-sign-sub-inv_binary64`
415×	`associate-/r*_binary64`
242×	`fma-def_binary64`
211×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	571
1	254	557
2	721	537
3	2268	503

Stop Event

1×	node limit

Counts

153 → 157

prune169.0ms (6.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	194	3	197

Error

Counts

197 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3) 1)))
✓	21.0b	(+.f64 x (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3))))
▶	29.7b	(+.f64 x (-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))

Compiler

Compiled 4582 to 3645 computations (20.4% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))
✓	0.0b	(+.f64 x (-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))
✓	0.1b	(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)
✓	0.4b	(*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))

series9.0ms (0.4%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))
2.0ms	(+.f64 x (-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))
2.0ms	(-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))
1.0ms	(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)

rewrite92.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`prod-diff_binary64`
303×	`fma-def_binary64`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`
155×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	210	38
2	2779	38

Stop Event

1×	node limit

Counts

4 → 133

Calls

4 calls:

90.0ms	(-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))
90.0ms	(+.f64 x (-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))
90.0ms	(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)
90.0ms	(*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))

simplify48.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

372×	`fma-def_binary64`
369×	`associate-l_binary64`
358×	`distribute-rgt-neg-in_binary64`
282×	`fma-neg_binary64`
269×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	449
1	65	423
2	131	368
3	308	324
4	898	324
5	3086	324
6	4784	324

Stop Event

1×	node limit

Counts

181 → 158

prune109.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	158	3	161

Error

Counts

161 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3) 1)))
✓	21.0b	(+.f64 x (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3))))
✓	29.7b	(+.f64 x (-.f64 -230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))

Compiler

Compiled 2556 to 1863 computations (27.1% saved)

regimes366.0ms (14%)

Accuracy

Total 0.0b remaining (50.5%)

Threshold costs 0.0b (50.5%)

Counts

161 → 1

Compiler

Compiled 5530 to 4288 computations (22.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	18	24

Stop Event

1×

saturated

end93.0ms (3.6%)

Compiler: Compiled 85 to 66 computations (22.4% saved)

Details

analyze9.0ms (0.3%)

sample890.0ms (34.2%)

simplify25.0ms (0.9%)

prune3.0ms (0.1%)

localize8.0ms (0.3%)

series9.0ms (0.3%)

rewrite61.0ms (2.3%)

simplify37.0ms (1.4%)

prune241.0ms (9.3%)

localize12.0ms (0.4%)

series55.0ms (2.1%)

rewrite51.0ms (1.9%)

simplify44.0ms (1.7%)

prune144.0ms (5.5%)

localize13.0ms (0.5%)

series9.0ms (0.3%)

rewrite64.0ms (2.5%)

simplify34.0ms (1.3%)

prune169.0ms (6.5%)

localize6.0ms (0.2%)

series9.0ms (0.4%)

rewrite92.0ms (3.6%)

simplify48.0ms (1.8%)

prune109.0ms (4.2%)

regimes366.0ms (14%)

simplify2.0ms (0.1%)

end93.0ms (3.6%)

Profiling