Details

analyze81.0ms (2.2%)

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 (30.4%)

Results

983.0ms	8256×	body	128	valid
7.0ms	59×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify121.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1247×	`unsub-neg_binary64`
616×	`neg-sub0_binary64`
571×	`neg-mul-1_binary64`
560×	`fma-neg_binary64`
452×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	17
3	116	17
4	358	17
5	1331	17
6	3463	17
7	3625	17
8	4293	17
9	4678	17
10	4650	17
11	4895	17
12	4905	17

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))
	0.2b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series24.0ms (0.7%)

Counts

3 → 56

Calls

3 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
4.0ms	(*.f64 m (-.f64 1 m))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
46×	`*-un-lft-identity_binary64`
37×	`add-cube-cbrt_binary64`
36×	`prod-diff_binary64`
26×	`distribute-lft-in_binary64`

Counts

3 → 137

Calls

3 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
6.0ms	(*.f64 m (-.f64 1 m))
6.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify113.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

806×	`distribute-rgt-in_binary64`
733×	`distribute-lft-in_binary64`
365×	`fma-neg_binary64`
242×	`associate-l_binary64`
194×	`associate-r_binary64`

Counts

193 → 219

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	3683
1	464	3476
2	1999	3134
3	4909	3134
4	5060	3134

prune223.0ms (6.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	217	4	221

Error

Counts

221 → 4

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.1b	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))
	0.1b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))

Compiler

Compiled 5381 to 3250 computations (39.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) m)
✓	0.0b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	7.9b	(/.f64 (pow.f64 m 3) v)
✓	14.8b	(/.f64 (pow.f64 m 2) v)

series47.0ms (1.3%)

Counts

4 → 27

Calls

4 calls:

17.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
13.0ms	(/.f64 (pow.f64 m 3) v)
11.0ms	(/.f64 (pow.f64 m 2) v)
6.0ms	(+.f64 (/.f64 m v) m)

rewrite48.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`*-un-lft-identity_binary64`
69×	`times-frac_binary64`
65×	`add-sqr-sqrt_binary64`
63×	`add-cube-cbrt_binary64`
27×	`add-log-exp_binary64`

Counts

4 → 200

Calls

4 calls:

22.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
5.0ms	(+.f64 (/.f64 m v) m)
4.0ms	(/.f64 (pow.f64 m 3) v)
3.0ms	(/.f64 (pow.f64 m 2) v)

simplify152.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-neg_binary64`
450×	`unswap-sqr_binary64`
227×	`distribute-rgt-in_binary64`
224×	`associate-l_binary64`
223×	`associate-r_binary64`

Counts

227 → 268

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	326	6089
1	815	4598
2	3507	4321
3	4480	4319
4	5001	4319

prune379.0ms (10.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	268	4	272

Error

Counts

272 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.1b	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))
▶	0.1b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))

Compiler

Compiled 9433 to 5173 computations (45.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series27.0ms (0.7%)

Counts

3 → 43

Calls

3 calls:

12.0ms	(/.f64 (-.f64 m (pow.f64 m 2)) v)
12.0ms	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
2.0ms	(-.f64 m (pow.f64 m 2))

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`
42×	`prod-diff_binary64`
30×	`times-frac_binary64`

Counts

3 → 174

Calls

3 calls:

18.0ms	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
7.0ms	(/.f64 (-.f64 m (pow.f64 m 2)) v)
5.0ms	(-.f64 m (pow.f64 m 2))

simplify161.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

460×	`exp-prod_binary64`
239×	`times-frac_binary64`
225×	`fma-neg_binary64`
210×	`log-prod_binary64`
196×	`div-sub_binary64`

Counts

217 → 266

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	4995
1	566	4142
2	2090	3907
3	3862	3907
4	4568	3907
5	4892	3907

prune244.0ms (6.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	265	1	266
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	266	4	270

Error

Counts

270 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
▶	0.1b	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))

Compiler

Compiled 6812 to 4166 computations (38.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series34.0ms (0.9%)

Counts

3 → 72

Calls

3 calls:

12.0ms	(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
12.0ms	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
10.0ms	(*.f64 (/.f64 m v) m)

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`
31×	`prod-diff_binary64`
28×	`times-frac_binary64`

Counts

3 → 137

Calls

3 calls:

12.0ms	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
6.0ms	(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
5.0ms	(*.f64 (/.f64 m v) m)

simplify147.0ms (4%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-neg_binary64`
532×	`times-frac_binary64`
324×	`cancel-sign-sub-inv_binary64`
266×	`associate-l_binary64`
255×	`associate-r_binary64`

Counts

209 → 237

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	245	4069
1	547	3820
2	2361	3467
3	4448	3454
4	4977	3454
5	4909	3454

prune183.0ms (5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	237	4	241

Error

Counts

241 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
✓	0.1b	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))

Compiler

Compiled 6167 to 2449 computations (60.3% saved)

regimes319.0ms (8.8%)

Accuracy

Total 0.1b remaining (82.2%)

Threshold costs 0.1b (82.2%)

Counts

119 → 1

Compiler

Compiled 6430 to 4475 computations (30.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	29	27
2	42	27
3	52	27
4	59	27
5	62	27
6	63	27
7	61	27

end76.0ms (2.1%)

Compiler: Compiled 110 to 76 computations (30.9% saved)

Details

analyze81.0ms (2.2%)

sample1.1s (30.4%)

simplify121.0ms (3.3%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series24.0ms (0.7%)

rewrite37.0ms (1%)

simplify113.0ms (3.1%)

prune223.0ms (6.1%)

localize12.0ms (0.3%)

series47.0ms (1.3%)

rewrite48.0ms (1.3%)

simplify152.0ms (4.2%)

prune379.0ms (10.4%)

localize7.0ms (0.2%)

series27.0ms (0.7%)

rewrite44.0ms (1.2%)

simplify161.0ms (4.4%)

prune244.0ms (6.7%)

localize7.0ms (0.2%)

series34.0ms (0.9%)

rewrite33.0ms (0.9%)

simplify147.0ms (4%)

prune183.0ms (5%)

regimes319.0ms (8.8%)

simplify3.0ms (0.1%)

end76.0ms (2.1%)

Profiling