Details

analyze147.0ms (2.9%)

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)

sample1.8s (34.4%)

Results

1.6s	8256×	body	128	valid
13.0ms	72×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify175.0ms (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

prune6.0ms (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)

localize13.0ms (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))

series44.0ms (0.9%)

Counts

3 → 56

Calls

3 calls:

21.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
19.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
4.0ms	(*.f64 m (-.f64 1 m))

rewrite130.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`prod-diff_binary64`
188×	`fma-def_binary64`
179×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`
174×	`fma-neg_binary64`

Counts

3 → 133

Calls

3 calls:

124.0ms	(*.f64 m (-.f64 1 m))
124.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
124.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Iterations

Useful iterations: 2 (0.0ms)

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

simplify119.0ms (2.3%)

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

prune269.0ms (5.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	155	5	160
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	157	5	162

Error

Counts

162 → 5

Alt Table

Status	Error	Program
	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) (-.f64 1 m))
	0.1b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 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))))
	10.6b	(-.f64 (+.f64 -1 m) (.f64 (/.f64 m v) (+.f64 (.f64 m 2) -1)))
▶	0.1b	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 (neg.f64 m) m)) v) 1) (-.f64 1 m))

Compiler

Compiled 3247 to 2100 computations (35.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series35.0ms (0.7%)

Counts

3 → 60

Calls

3 calls:

17.0ms	(/.f64 (+.f64 m (*.f64 (neg.f64 m) m)) v)
13.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 (neg.f64 m) m)) v) 1) (-.f64 1 m))
4.0ms	(+.f64 m (*.f64 (neg.f64 m) m))

rewrite120.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
378×	`fma-def_binary64`
326×	`fma-neg_binary64`
245×	`egg-rr`
188×	`expm1-udef_binary64`

Counts

3 → 245

Calls

3 calls:

113.0ms	(+.f64 m (*.f64 (neg.f64 m) m))
113.0ms	(/.f64 (+.f64 m (*.f64 (neg.f64 m) m)) v)
113.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 (neg.f64 m) m)) v) 1) (-.f64 1 m))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	251	30
2	2888	30
3	5686	30

simplify111.0ms (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

305 → 272

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	849
1	96	823
2	234	811
3	614	747
4	2182	746
5	4133	746
6	5155	746

prune258.0ms (5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	272	5	277

Error

Counts

277 → 5

Alt Table

Status	Error	Program
	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) (-.f64 1 m))
	0.1b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 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))))
	10.6b	(-.f64 (+.f64 -1 m) (.f64 (/.f64 m v) (+.f64 (.f64 m 2) -1)))
✓	0.1b	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 (neg.f64 m) m)) v) 1) (-.f64 1 m))

Compiler

Compiled 5741 to 2751 computations (52.1% saved)

localize20.0ms (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))))
✓	7.5b	(/.f64 (pow.f64 m 3) v)
✓	11.3b	(/.f64 (pow.f64 m 2) v)

series48.0ms (0.9%)

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))))
12.0ms	(/.f64 (pow.f64 m 3) v)
11.0ms	(/.f64 (pow.f64 m 2) v)
7.0ms	(+.f64 (/.f64 m v) m)

rewrite137.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

322×	`log1p-udef_binary64`
181×	`add-sqr-sqrt_binary64`
181×	`log1p-expm1-u_binary64`
181×	`expm1-log1p-u_binary64`
172×	`add-log-exp_binary64`

Counts

4 → 148

Calls

4 calls:

130.0ms	(+.f64 (/.f64 m v) m)
130.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
130.0ms	(/.f64 (pow.f64 m 3) v)
130.0ms	(/.f64 (pow.f64 m 2) v)

Iterations

Useful iterations: 1 (0.0ms)

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

simplify115.0ms (2.2%)

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

prune395.0ms (7.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	166	5	171

Error

Counts

171 → 5

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
	10.6b	(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (fma.f64 m -2 1)))
	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 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 (+.f64 m (.f64 (neg.f64 m) m)) v) 1) (-.f64 1 m))

Compiler

Compiled 5366 to 2825 computations (47.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series67.0ms (1.3%)

Counts

4 → 84

Calls

4 calls:

22.0ms	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
17.0ms	(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
16.0ms	(/.f64 v (-.f64 1 m))
11.0ms	(/.f64 1 (/.f64 v (-.f64 1 m)))

rewrite111.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`prod-diff_binary64`
197×	`expm1-udef_binary64`
196×	`log1p-udef_binary64`
136×	`egg-rr`
116×	`add-sqr-sqrt_binary64`

Counts

4 → 136

Calls

4 calls:

107.0ms	(/.f64 v (-.f64 1 m))
107.0ms	(/.f64 1 (/.f64 v (-.f64 1 m)))
107.0ms	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
107.0ms	(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	229	41
2	3023	41
3	4968	41

simplify112.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

398×	`unsub-neg_binary64`
334×	`associate-l_binary64`
326×	`associate-r_binary64`
297×	`div-sub_binary64`
259×	`fma-neg_binary64`

Counts

220 → 180

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	1133
1	183	1102
2	482	1082
3	1331	1006
4	4290	1006
5	5039	1006

prune301.0ms (5.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	180	5	185

Error

Counts

185 → 5

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) (-.f64 1 m))
	10.6b	(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (fma.f64 m -2 1)))
	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 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 (+.f64 m (.f64 (neg.f64 m) m)) v) 1) (-.f64 1 m))

Compiler

Compiled 3411 to 2383 computations (30.1% saved)

regimes474.0ms (9.2%)

Accuracy

Total 0.1b remaining (81.3%)

Threshold costs 0.1b (81.3%)

Counts

96 → 1

Compiler

Compiled 4794 to 3417 computations (28.7% saved)

simplify4.0ms (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

end148.0ms (2.9%)

Compiler: Compiled 117 to 85 computations (27.4% saved)

Details

analyze147.0ms (2.9%)

sample1.8s (34.4%)

simplify175.0ms (3.4%)

prune6.0ms (0.1%)

localize13.0ms (0.2%)

series44.0ms (0.9%)

rewrite130.0ms (2.5%)

simplify119.0ms (2.3%)

prune269.0ms (5.2%)

localize11.0ms (0.2%)

series35.0ms (0.7%)

rewrite120.0ms (2.3%)

simplify111.0ms (2.1%)

prune258.0ms (5%)

localize20.0ms (0.4%)

series48.0ms (0.9%)

rewrite137.0ms (2.7%)

simplify115.0ms (2.2%)

prune395.0ms (7.7%)

localize15.0ms (0.3%)

series67.0ms (1.3%)

rewrite111.0ms (2.2%)

simplify112.0ms (2.2%)

prune301.0ms (5.8%)

regimes474.0ms (9.2%)

simplify4.0ms (0.1%)

end148.0ms (2.9%)

Profiling