Details

analyze81.0ms (2.3%)

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 (30.5%)

Results

970.0ms	8256×	body	128	valid
5.0ms	46×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify120.0ms (3.4%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

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 m (-.f64 1 m)) v)
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series25.0ms (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)
3.0ms	(*.f64 m (-.f64 1 m))

rewrite70.0ms (2%)

Algorithm

2×	batch-egg-rewrite

Rules

133× egg-rr

Counts

3 → 133

Calls

2 calls:

67.0ms	((.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m)) (/.f64 (.f64 m (-.f64 1 m)) v) (.f64 m (-.f64 1 m)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	201	36
2	2755	34
3	5032	34
0	0	0
1	0	0

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

757×	`unsub-neg_binary64`
325×	`neg-sub0_binary64`
307×	`fma-def_binary64`
306×	`neg-mul-1_binary64`
286×	`div-sub_binary64`

Counts

189 → 160

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	809
1	96	783
2	234	771
3	614	707
4	2182	706
5	4133	706
6	5155	706

prune159.0ms (4.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	156	4	160
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	158	4	162

Error

Counts

162 → 4

Alt Table

Status	Error	Program
	0.1b	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
	0.1b	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
▶	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))))
	0.8b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 m 3)) m) (+.f64 1 (fma.f64 m m m))) v) 1) (-.f64 1 m))

Compiler

Compiled 3247 to 2088 computations (35.7% 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))))
✓	11.5b	(/.f64 (pow.f64 m 3) v)
✓	12.2b	(/.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))))
14.0ms	(/.f64 (pow.f64 m 3) v)
10.0ms	(/.f64 (pow.f64 m 2) v)
6.0ms	(+.f64 (/.f64 m v) m)

rewrite90.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

148× egg-rr

Counts

4 → 148

Calls

2 calls:

87.0ms	((/.f64 (pow.f64 m 2) v) (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v)))) (+.f64 (/.f64 m v) m))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	380	50
2	4780	50
3	5222	50
0	0	0
1	0	0

simplify87.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-neg_binary64`
566×	`distribute-rgt-neg-in_binary64`
470×	`cancel-sign-sub-inv_binary64`
323×	`fma-def_binary64`
292×	`associate-/l*_binary64`

Counts

175 → 166

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	294
1	78	292
2	182	245
3	454	227
4	1420	214
5	3738	214
6	4990	214
7	4989	214
8	4883	214

prune163.0ms (4.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	167	3	170

Error

Counts

170 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
	0.1b	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
	0.8b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 m 3)) m) (+.f64 1 (fma.f64 m m m))) v) 1) (-.f64 1 m))

Compiler

Compiled 5361 to 2810 computations (47.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
✓	0.0b	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
	11.5b	(/.f64 (pow.f64 m 3) v)
✓	12.2b	(/.f64 (*.f64 m m) v)

series41.0ms (1.2%)

Counts

3 → 72

Calls

3 calls:

18.0ms	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
12.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
10.0ms	(/.f64 (*.f64 m m) v)

rewrite90.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

136× egg-rr

Counts

3 → 136

Calls

2 calls:

86.0ms	((/.f64 (.f64 m m) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (.f64 m m) v) 1)) (+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	345	56
2	4731	56
3	5128	56
0	0	0
1	0	0

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-neg_binary64`
550×	`cancel-sign-sub-inv_binary64`
491×	`unswap-sqr_binary64`
467×	`associate-l_binary64`
281×	`sub-neg_binary64`

Counts

208 → 160

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	1128
1	88	1032
2	193	959
3	541	935
4	1496	865
5	4148	865
6	5049	865

prune267.0ms (7.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	189	3	192

Error

Counts

192 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
▶	0.1b	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
	0.8b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 m 3)) m) (+.f64 1 (fma.f64 m m m))) v) 1) (-.f64 1 m))

Compiler

Compiled 6092 to 2806 computations (53.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 m (/.f64 m v))
✓	0.0b	(+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2)))
✓	0.1b	(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
✓	0.2b	(*.f64 m (/.f64 m v))

series52.0ms (1.5%)

Counts

4 → 96

Calls

4 calls:

18.0ms	(+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2)))
17.0ms	(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
10.0ms	(*.f64 m (/.f64 m v))
7.0ms	(+.f64 m (/.f64 m v))

rewrite93.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

241× egg-rr

Counts

4 → 241

Calls

2 calls:

87.0ms	((.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2)) (+.f64 (+.f64 m (/.f64 m v)) (.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))) (+.f64 m (/.f64 m v)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	245	47
2	3660	47
3	5585	47
0	0	0
1	0	0

simplify105.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-neg_binary64`
392×	`fma-def_binary64`
384×	`distribute-rgt-out_binary64`
265×	`neg-mul-1_binary64`
260×	`neg-sub0_binary64`

Counts

337 → 261

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	1260
1	92	1098
2	204	1030
3	562	953
4	1813	950
5	4355	950
6	4906	950
7	4992	950

prune230.0ms (6.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	261	3	264

Error

Counts

264 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
✓	0.1b	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
	0.8b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 m 3)) m) (+.f64 1 (fma.f64 m m m))) v) 1) (-.f64 1 m))

Compiler

Compiled 6281 to 2597 computations (58.7% saved)

regimes501.0ms (14.1%)

Accuracy

Total 0.0b remaining (65.6%)

Threshold costs 0.0b (65.6%)

Counts

183 → 1

Compiler

Compiled 9846 to 6819 computations (30.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-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	15	29
1	21	29
2	25	29
3	27	29
4	28	29
5	27	29

end68.0ms (1.9%)

Compiler: Compiled 109 to 70 computations (35.8% saved)

Details

analyze81.0ms (2.3%)

sample1.1s (30.5%)

simplify120.0ms (3.4%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series25.0ms (0.7%)

rewrite70.0ms (2%)

simplify76.0ms (2.1%)

prune159.0ms (4.5%)

localize12.0ms (0.3%)

series47.0ms (1.3%)

rewrite90.0ms (2.5%)

simplify87.0ms (2.4%)

prune163.0ms (4.6%)

localize11.0ms (0.3%)

series41.0ms (1.2%)

rewrite90.0ms (2.5%)

simplify69.0ms (1.9%)

prune267.0ms (7.5%)

localize8.0ms (0.2%)

series52.0ms (1.5%)

rewrite93.0ms (2.6%)

simplify105.0ms (2.9%)

prune230.0ms (6.4%)

regimes501.0ms (14.1%)

simplify3.0ms (0.1%)

end68.0ms (1.9%)

Profiling