Details

analyze101.0ms (2.5%)

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 (29.1%)

Results

1.0s	8256×	body	128	valid
6.0ms	52×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify121.0ms (3.1%)

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

prune4.0ms (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

0.0b

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)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series27.0ms (0.7%)

Counts

3 → 56

Calls

3 calls:

13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
5.0ms	(*.f64 m (-.f64 1 m))

rewrite34.0ms (0.9%)

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

simplify118.0ms (3%)

Algorithm

1×	egg-herbie

Rules

806×	`distribute-rgt-in_binary64`
733×	`distribute-lft-in_binary64`
365×	`fma-neg_binary64`
242×	`associate-l_binary64`
195×	`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

prune228.0ms (5.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	213	6	219
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	215	6	221

Error

Counts

221 → 6

Alt Table

Status	Error	Program
	0.1b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
▶	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 1 m))
	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) (-.f64 1 m))
	22.6b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 3) (pow.f64 1 3)) (-.f64 1 m)) (+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (/.f64 (.f64 m (-.f64 1 m)) v)) (+.f64 (.f64 1 1) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))))
	0.4b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) (-.f64 1 m))

Compiler

Compiled 5505 to 3344 computations (39.3% saved)

localize16.0ms (0.4%)

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)
✓	10.6b	(/.f64 (pow.f64 m 2) v)

series48.0ms (1.2%)

Counts

4 → 27

Calls

4 calls:

18.0ms	(-.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)
10.0ms	(/.f64 (pow.f64 m 2) v)
6.0ms	(+.f64 (/.f64 m v) m)

rewrite51.0ms (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:

23.0ms	(-.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)

simplify154.0ms (3.9%)

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

prune408.0ms (10.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	269	5	274

Error

Counts

274 → 5

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
✓	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 m (/.f64 v (.f64 m m))) (+.f64 (/.f64 m v) m)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.1b	(-.f64 (+.f64 (.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.4b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) (-.f64 1 m))

Compiler

Compiled 9501 to 5219 computations (45.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series27.0ms (0.7%)

Counts

3 → 43

Calls

3 calls:

13.0ms	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
12.0ms	(/.f64 (-.f64 m (pow.f64 m 2)) v)
2.0ms	(-.f64 m (pow.f64 m 2))

rewrite45.0ms (1.1%)

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))

simplify165.0ms (4.2%)

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

prune265.0ms (6.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	264	2	266
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	267	4	271

Error

Counts

271 → 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 v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
	0.1b	(-.f64 (+.f64 (/.f64 m (/.f64 v (.f64 m m))) (+.f64 (/.f64 m v) m)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.4b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 2)) (sqrt.f64 v)) (sqrt.f64 v)) 1) (-.f64 1 m))

Compiler

Compiled 6855 to 4190 computations (38.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series36.0ms (0.9%)

Counts

3 → 72

Calls

3 calls:

13.0ms	(.f64 (-.f64 (-.f64 (/.f64 m v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
12.0ms	(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
11.0ms	(*.f64 (/.f64 m v) m)

rewrite34.0ms (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:

14.0ms	(.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)

simplify158.0ms (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

prune197.0ms (5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
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 v) (.f64 (/.f64 m v) m)) 1) (-.f64 1 m))
	0.1b	(-.f64 (+.f64 (/.f64 m (/.f64 v (.f64 m m))) (+.f64 (/.f64 m v) m)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.4b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 2)) (sqrt.f64 v)) (sqrt.f64 v)) 1) (-.f64 1 m))

Compiler

Compiled 6181 to 2456 computations (60.3% saved)

regimes462.0ms (11.7%)

Accuracy

Total 0.1b remaining (80%)

Threshold costs 0.1b (80%)

Counts

156 → 1

Compiler

Compiled 8891 to 6202 computations (30.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	17	19
2	21	19
3	23	19
4	24	19
5	22	19

end74.0ms (1.9%)

Compiler: Compiled 114 to 77 computations (32.5% saved)

Details

analyze101.0ms (2.5%)

sample1.1s (29.1%)

simplify121.0ms (3.1%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

series27.0ms (0.7%)

rewrite34.0ms (0.9%)

simplify118.0ms (3%)

prune228.0ms (5.8%)

localize16.0ms (0.4%)

series48.0ms (1.2%)

rewrite51.0ms (1.3%)

simplify154.0ms (3.9%)

prune408.0ms (10.3%)

localize9.0ms (0.2%)

series27.0ms (0.7%)

rewrite45.0ms (1.1%)

simplify165.0ms (4.2%)

prune265.0ms (6.7%)

localize8.0ms (0.2%)

series36.0ms (0.9%)

rewrite34.0ms (0.9%)

simplify158.0ms (4%)

prune197.0ms (5%)

regimes462.0ms (11.7%)

simplify2.0ms (0.1%)

end74.0ms (1.9%)

Profiling