Details

analyze87.0ms (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 (28.4%)

Results

977.0ms	8256×	body	128	valid
7.0ms	49×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify123.0ms (3.2%)

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
	0.2b	(*.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)

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 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)

series32.0ms (0.8%)

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 m (-.f64 1 m)) v)
8.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
3.0ms	(*.f64 m (-.f64 1 m))

rewrite80.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Counts

4 → 196

Calls

4 calls:

76.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
76.0ms	(*.f64 m (-.f64 1 m))
76.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
76.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	201	49
2	2755	45
3	5032	45

simplify102.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

506×	`sub-neg_binary64`
328×	`neg-sub0_binary64`
314×	`fma-def_binary64`
311×	`neg-mul-1_binary64`
286×	`div-sub_binary64`

Counts

276 → 227

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	1107
1	104	1036
2	249	1024
3	646	960
4	2235	959
5	4181	959
6	4985	959
7	4905	959

prune210.0ms (5.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	224	3	227
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	226	3	229

Error

Counts

229 → 3

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 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))

Compiler

Compiled 4469 to 2907 computations (35% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series32.0ms (0.8%)

Counts

3 → 72

Calls

3 calls:

13.0ms	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
13.0ms	(*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
6.0ms	(fma.f64 (/.f64 m v) (-.f64 1 m) -1)

rewrite85.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
389×	`fma-def_binary64`
206×	`egg-rr`
202×	`fma-neg_binary64`
184×	`expm1-udef_binary64`

Counts

3 → 206

Calls

3 calls:

79.0ms	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
79.0ms	(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
79.0ms	(*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	237	42
2	2745	40
3	5227	40

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-neg_binary64`
346×	`fma-def_binary64`
259×	`sub-neg_binary64`
241×	`distribute-rgt-in_binary64`
234×	`neg-mul-1_binary64`

Counts

278 → 239

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	1198
1	116	1127
2	265	1068
3	725	966
4	2044	896
5	4605	895
6	4998	895

prune236.0ms (6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	276	3	279

Error

Counts

279 → 3

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 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))

Compiler

Compiled 7977 to 3386 computations (57.6% saved)

localize13.0ms (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))))
✓	9.2b	(/.f64 (pow.f64 m 3) v)
✓	11.9b	(/.f64 (pow.f64 m 2) v)

series45.0ms (1.2%)

Counts

4 → 27

Calls

4 calls:

16.0ms	(-.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)

rewrite178.0ms (4.6%)

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 → 152

Calls

4 calls:

175.0ms	(+.f64 (/.f64 m v) m)
175.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
175.0ms	(/.f64 (pow.f64 m 3) v)
175.0ms	(/.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

simplify85.0ms (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

179 → 168

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

prune153.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	168	3	171

Error

Counts

171 → 3

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 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
▶	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))

Compiler

Compiled 5349 to 2797 computations (47.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series24.0ms (0.6%)

Counts

3 → 72

Calls

3 calls:

10.0ms	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
8.0ms	(fma.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)) -1)
6.0ms	(*.f64 (-.f64 1 m) (/.f64 1 v))

rewrite93.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
275×	`prod-diff_binary64`
183×	`pow1/3_binary64`
175×	`expm1-udef_binary64`
174×	`log1p-udef_binary64`

Counts

3 → 137

Calls

3 calls:

90.0ms	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))
90.0ms	(*.f64 (-.f64 1 m) (/.f64 1 v))
90.0ms	(fma.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)) -1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	206	35
2	2457	35
3	4888	35
4	5181	35

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

358×	`neg-sub0_binary64`
352×	`neg-mul-1_binary64`
325×	`fma-def_binary64`
286×	`div-sub_binary64`
281×	`sub-neg_binary64`

Counts

209 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	1002
1	111	931
2	252	919
3	695	855
4	2391	855
5	4193	855
6	4906	855

prune146.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	166	3	169

Error

Counts

169 → 3

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 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.2b	(.f64 (fma.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)) -1) (-.f64 1 m))

Compiler

Compiled 2978 to 1986 computations (33.3% saved)

regimes808.0ms (20.7%)

Accuracy

Total 0.1b remaining (68.8%)

Threshold costs 0.1b (68.8%)

Counts

277 → 1

Compiler

Compiled 14412 to 10197 computations (29.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	18	25
2	18	25

end65.0ms (1.7%)

Compiler: Compiled 99 to 64 computations (35.4% saved)

Details

analyze87.0ms (2.2%)

sample1.1s (28.4%)

simplify123.0ms (3.2%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

series32.0ms (0.8%)

rewrite80.0ms (2.1%)

simplify102.0ms (2.6%)

prune210.0ms (5.4%)

localize8.0ms (0.2%)

series32.0ms (0.8%)

rewrite85.0ms (2.2%)

simplify81.0ms (2.1%)

prune236.0ms (6%)

localize13.0ms (0.3%)

series45.0ms (1.2%)

rewrite178.0ms (4.6%)

simplify85.0ms (2.2%)

prune153.0ms (3.9%)

localize7.0ms (0.2%)

series24.0ms (0.6%)

rewrite93.0ms (2.4%)

simplify81.0ms (2.1%)

prune146.0ms (3.7%)

regimes808.0ms (20.7%)

simplify3.0ms (0.1%)

end65.0ms (1.7%)

Profiling