Details

analyze80.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.1s (36.7%)

Results

1.1s	8256×	body	128	valid
6.0ms	52×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify20.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-neg_binary64`
442×	`distribute-rgt-in_binary64`
376×	`unsub-neg_binary64`
325×	`fma-def_binary64`
302×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	17
3	131	17
4	464	17
5	2012	17

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
✓	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series30.0ms (1%)

Counts

4 → 80

Calls

4 calls:

11.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
2.0ms	(*.f64 m (-.f64 1 m))

rewrite63.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`prod-diff_binary64`
193×	`egg-rr`
188×	`fma-def_binary64`
179×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	202	49
2	2933	45

Stop Event

1×	node limit

Counts

4 → 193

Calls

4 calls:

59.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
59.0ms	(*.f64 m (-.f64 1 m))
59.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
59.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

314×	`fma-def_binary64`
279×	`sub-neg_binary64`
210×	`unsub-neg_binary64`
167×	`distribute-rgt-neg-out_binary64`
164×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	1107
1	105	1036
2	267	1024
3	754	960
4	2908	960

Stop Event

1×	node limit

Counts

273 → 223

prune182.0ms (6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	218	5	223
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	220	5	225

Error

0.0b

Counts

225 → 5

Alt Table

Status	Error	Program
	16.3b	(.f64 (-.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 m 3) (pow.f64 (-.f64 1 m) 3))) v) 1) (-.f64 1 m))
	29.9b	(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) (-.f64 1 m)))
▶	0.1b	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
	10.7b	(.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1) (-.f64 1 m))

Compiler

Compiled 4477 to 2862 computations (36.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1)
✓	0.0b	(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
✓	0.1b	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
✓	14.3b	(/.f64 (pow.f64 m 2) v)

series41.0ms (1.3%)

Counts

4 → 63

Calls

4 calls:

13.0ms	(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
11.0ms	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
9.0ms	(/.f64 (pow.f64 m 2) v)
8.0ms	(-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1)

rewrite70.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

246×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`
176×	`egg-rr`
141×	`add-sqr-sqrt_binary64`
138×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	285	49
2	4294	49

Stop Event

1×	node limit

Counts

4 → 176

Calls

4 calls:

66.0ms	(-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1)
66.0ms	(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
66.0ms	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
66.0ms	(/.f64 (pow.f64 m 2) v)

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-def_binary64`
280×	`sub-neg_binary64`
210×	`unsub-neg_binary64`
167×	`distribute-rgt-neg-out_binary64`
156×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	981
1	104	910
2	266	898
3	742	834
4	2844	834

Stop Event

1×	node limit

Counts

239 → 203

prune162.0ms (5.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	203	5	208

Error

0.0b

Counts

208 → 5

Alt Table

Status	Error	Program
	16.3b	(.f64 (-.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 m 3) (pow.f64 (-.f64 1 m) 3))) v) 1) (-.f64 1 m))
	29.9b	(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) (-.f64 1 m)))
✓	0.1b	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
▶	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
	10.7b	(.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1) (-.f64 1 m))

Compiler

Compiled 4376 to 2015 computations (54% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 1 m) (/.f64 1 v))
✓	0.1b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
✓	0.1b	(fma.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)) -1)

series22.0ms (0.7%)

Counts

3 → 72

Calls

3 calls:

10.0ms	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
7.0ms	(fma.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)) -1)
5.0ms	(*.f64 (-.f64 1 m) (/.f64 1 v))

rewrite50.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
175×	`expm1-udef_binary64`
174×	`log1p-udef_binary64`
168×	`pow3_binary64`
154×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	207	35
2	2624	35

Stop Event

1×	node limit

Counts

3 → 130

Calls

3 calls:

48.0ms	(*.f64 (-.f64 1 m) (/.f64 1 v))
48.0ms	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
48.0ms	(fma.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)) -1)

simplify42.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

325×	`fma-def_binary64`
286×	`sub-neg_binary64`
230×	`unsub-neg_binary64`
211×	`distribute-rgt-neg-out_binary64`
194×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	1002
1	112	931
2	275	919
3	777	855
4	3188	855

Stop Event

1×	node limit

Counts

202 → 159

prune127.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	159	5	164

Error

0.0b

Counts

164 → 5

Alt Table

Status	Error	Program
	16.3b	(.f64 (-.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 m 3) (pow.f64 (-.f64 1 m) 3))) v) 1) (-.f64 1 m))
	29.9b	(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) (-.f64 1 m)))
✓	0.1b	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
✓	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
▶	10.7b	(.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1) (-.f64 1 m))

Compiler

Compiled 2946 to 1976 computations (32.9% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1) (-.f64 1 m))
✓	0.1b	(fma.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) v) -1)
✓	0.2b	(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)

series63.0ms (2.1%)

Counts

3 → 63

Calls

3 calls:

31.0ms

(fma.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1)

19.0ms

(*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1) (-.f64 1 m))

12.0ms

(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)

rewrite56.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
196×	`expm1-udef_binary64`
195×	`log1p-udef_binary64`
175×	`log-pow_binary64`
156×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	255	44
2	3032	44

Stop Event

1×	node limit

Counts

3 → 106

Calls

3 calls:

52.0ms

(*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1) (-.f64 1 m))

52.0ms

(fma.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1)

52.0ms

(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)

simplify40.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

614×	`cancel-sign-sub-inv_binary64`
553×	`fma-neg_binary64`
447×	`times-frac_binary64`
239×	`associate-/r*_binary64`
237×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1468
1	241	1218
2	760	1074
3	2912	1070

Stop Event

1×	node limit

Counts

169 → 147

prune194.0ms (6.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	219	5	224

Error

0.0b

Counts

224 → 5

Alt Table

Status	Error	Program
	16.3b	(.f64 (-.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 m 3) (pow.f64 (-.f64 1 m) 3))) v) 1) (-.f64 1 m))
	29.9b	(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) (-.f64 1 m)))
✓	0.1b	(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
✓	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
✓	10.7b	(.f64 (fma.f64 (/.f64 (sqrt.f64 (.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1) (-.f64 1 m))

Compiler

Compiled 5379 to 3798 computations (29.4% saved)

regimes473.0ms (15.6%)

Accuracy

Total 0.1b remaining (77.7%)

Threshold costs 0.1b (77.7%)

Counts

155 → 1

Compiler

Compiled 7551 to 5340 computations (29.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`distribute-rgt-neg-in_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`distribute-lft-neg-in_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	17	22
2	24	20
3	34	20
4	51	20
5	67	20
6	82	20
7	103	20
8	122	20
9	126	20

Stop Event

1×

saturated

end84.0ms (2.8%)

Compiler: Compiled 122 to 89 computations (27% saved)

Details

analyze80.0ms (2.6%)

sample1.1s (36.7%)

simplify20.0ms (0.7%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series30.0ms (1%)

rewrite63.0ms (2.1%)

simplify45.0ms (1.5%)

prune182.0ms (6%)

localize9.0ms (0.3%)

series41.0ms (1.3%)

rewrite70.0ms (2.3%)

simplify41.0ms (1.3%)

prune162.0ms (5.3%)

localize7.0ms (0.2%)

series22.0ms (0.7%)

rewrite50.0ms (1.7%)

simplify42.0ms (1.4%)

prune127.0ms (4.2%)

localize11.0ms (0.4%)

series63.0ms (2.1%)

rewrite56.0ms (1.8%)

simplify40.0ms (1.3%)

prune194.0ms (6.4%)

regimes473.0ms (15.6%)

simplify3.0ms (0.1%)

end84.0ms (2.8%)

Profiling