Details

analyze64.0ms (1.7%)

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 24 to 17 computations (29.2% saved)

sample1.4s (37.2%)

Results

1.1s	8256×	body	128	valid
5.0ms	49×	body	128	invalid

Compiler

Compiled 61 to 43 computations (29.5% saved)

simplify114.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-def_binary64`
913×	`fma-neg_binary64`
520×	`distribute-rgt-in_binary64`
481×	`div-sub_binary64`
441×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	16
2	39	14
3	78	14
4	233	14
5	529	14
6	976	14
7	1686	14
8	1746	14
9	1952	14
10	2334	14
11	2818	14
12	3104	14
13	4560	14
14	4195	14
15	4799	14

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

Compiler

Compiled 73 to 49 computations (32.9% saved)

localize6.0ms (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))
✓	0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

series31.0ms (0.8%)

Counts

4 → 80

Calls

4 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
2.0ms	(*.f64 m (-.f64 1 m))

rewrite100.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`prod-diff_binary64`
179×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`
174×	`fma-neg_binary64`
172×	`fma-def_binary64`

Counts

4 → 166

Calls

4 calls:

97.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
97.0ms	(*.f64 m (-.f64 1 m))
97.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
97.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	201	46
2	2716	42
3	4997	42
4	5369	42

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

566×	`unsub-neg_binary64`
472×	`fma-def_binary64`
424×	`fma-neg_binary64`
423×	`associate-/l*_binary64`
317×	`div-sub_binary64`

Counts

246 → 194

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	936
1	77	837
2	154	837
3	380	837
4	1139	837
5	3991	837
6	5039	837

prune169.0ms (4.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	187	7	194
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	189	7	196

Error

0.0b

Counts

196 → 7

Alt Table

Status	Error	Program
	13.0b	(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
	0.2b	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))
	1.4b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
	6.3b	(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 (/.f64 (pow.f64 m 3) v) m))
▶	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) m)
	19.4b	(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 3) -1) m) (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))
	35.3b	(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)

Compiler

Compiled 3268 to 2054 computations (37.1% saved)

localize55.0ms (1.5%)

Local error

Found 4 expressions with local error:

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

series68.0ms (1.8%)

Counts

4 → 96

Calls

4 calls:

43.0ms	(-.f64 (.f64 m (.f64 (-.f64 1 m) (/.f64 1 v))) 1)
11.0ms	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) m)
9.0ms	(.f64 m (.f64 (-.f64 1 m) (/.f64 1 v)))
5.0ms	(*.f64 (-.f64 1 m) (/.f64 1 v))

rewrite127.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`prod-diff_binary64`
451×	`fma-udef_binary64`
273×	`fma-neg_binary64`
239×	`fma-def_binary64`
191×	`expm1-udef_binary64`

Counts

4 → 166

Calls

4 calls:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	223	42
2	2820	42
3	4882	42
4	4907	42
5	4944	42

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-neg_binary64`
531×	`fma-def_binary64`
483×	`difference-of-squares_binary64`
374×	`cancel-sign-sub-inv_binary64`
307×	`distribute-rgt-in_binary64`

Counts

262 → 190

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1063
1	100	964
2	194	964
3	457	904
4	1468	904
5	4138	904
6	5238	904

prune164.0ms (4.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	190	7	197

Error

0.0b

Counts

197 → 7

Alt Table

Status	Error	Program
	13.0b	(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
▶	0.2b	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))
	1.3b	(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3)
	6.3b	(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 (/.f64 (pow.f64 m 3) v) m))
	19.4b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 3) -1) m) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)))
✓	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) m)
	35.3b	(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)

Compiler

Compiled 3248 to 2130 computations (34.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series27.0ms (0.7%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m)
13.0ms	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
285×	`fma-neg_binary64`
241×	`fma-def_binary64`
176×	`expm1-udef_binary64`
176×	`log1p-udef_binary64`

Counts

2 → 128

Calls

2 calls:

62.0ms	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))
62.0ms	(.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	225	23
2	2748	23
3	5234	23

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-neg_binary64`
621×	`unsub-neg_binary64`
320×	`div-sub_binary64`
294×	`distribute-rgt-in_binary64`
284×	`associate-/r/_binary64`

Counts

176 → 143

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	614
1	62	614
2	149	614
3	416	614
4	1407	614
5	4198	614
6	5101	614

prune166.0ms (4.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	234	3	237
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	237	7	244

Error

Counts

244 → 7

Alt Table

Status	Error	Program
	13.0b	(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
✓	0.2b	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))
	36.5b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 m m m) v)) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 m m m) v)) m) m)
✓	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) m)
	9.9b	(+.f64 (/.f64 m (/.f64 v (fma.f64 m m m))) (neg.f64 m))
	19.4b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 3) -1) m) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)))
▶	6.3b	(+.f64 (/.f64 (-.f64 (pow.f64 m 2) (pow.f64 m 3)) v) (neg.f64 m))

Compiler

Compiled 4162 to 1469 computations (64.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (-.f64 (pow.f64 m 2) (pow.f64 m 3)) v) (neg.f64 m))
✓	0.0b	(-.f64 (pow.f64 m 2) (pow.f64 m 3))
✓	11.9b	(/.f64 (-.f64 (pow.f64 m 2) (pow.f64 m 3)) v)

series33.0ms (0.9%)

Counts

3 → 43

Calls

3 calls:

16.0ms	(/.f64 (-.f64 (pow.f64 m 2) (pow.f64 m 3)) v)
13.0ms	(+.f64 (/.f64 (-.f64 (pow.f64 m 2) (pow.f64 m 3)) v) (neg.f64 m))
3.0ms	(-.f64 (pow.f64 m 2) (pow.f64 m 3))

rewrite79.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
343×	`fma-neg_binary64`
338×	`fma-def_binary64`
269×	`egg-rr`
190×	`expm1-udef_binary64`

Counts

3 → 269

Calls

3 calls:

73.0ms	(+.f64 (/.f64 (-.f64 (pow.f64 m 2) (pow.f64 m 3)) v) (neg.f64 m))
73.0ms	(-.f64 (pow.f64 m 2) (pow.f64 m 3))
73.0ms	(/.f64 (-.f64 (pow.f64 m 2) (pow.f64 m 3)) v)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	260	33
2	2896	33
3	5503	33

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-def_binary64`
531×	`fma-neg_binary64`
424×	`cancel-sign-sub-inv_binary64`
421×	`difference-of-squares_binary64`
401×	`associate-/l*_binary64`

Counts

312 → 287

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	526
1	54	526
2	135	526
3	378	526
4	1198	526
5	3855	526
6	4947	526

prune224.0ms (6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	285	2	287
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	287	7	294

Error

Counts

294 → 7

Alt Table

Status	Error	Program
	13.0b	(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
✓	0.2b	(+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) m) (neg.f64 m))
	6.3b	(fma.f64 (*.f64 m m) (/.f64 1 v) (neg.f64 (+.f64 (/.f64 (pow.f64 m 3) v) m)))
	9.9b	(+.f64 (/.f64 m (/.f64 v (fma.f64 m m m))) (neg.f64 m))
✓	6.3b	(+.f64 (/.f64 (-.f64 (pow.f64 m 2) (pow.f64 m 3)) v) (neg.f64 m))
✓	0.2b	(.f64 (-.f64 (.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v))) 1) m)
	26.0b	(+.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 m 4) (pow.f64 m 6))) v) (neg.f64 m))

Compiler

Compiled 5235 to 2878 computations (45% saved)

regimes444.0ms (12%)

Accuracy

Total 0.2b remaining (87.9%)

Threshold costs 0.2b (87.9%)

Counts

165 → 1

Compiler

Compiled 6992 to 4553 computations (34.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	20	16
2	23	16
3	24	16
4	23	16

end92.0ms (2.5%)

Compiler: Compiled 138 to 92 computations (33.3% saved)

Details

analyze64.0ms (1.7%)

sample1.4s (37.2%)

simplify114.0ms (3.1%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series31.0ms (0.8%)

rewrite100.0ms (2.7%)

simplify66.0ms (1.8%)

prune169.0ms (4.6%)

localize55.0ms (1.5%)

series68.0ms (1.8%)

rewrite127.0ms (3.4%)

simplify81.0ms (2.2%)

prune164.0ms (4.4%)

localize11.0ms (0.3%)

series27.0ms (0.7%)

rewrite65.0ms (1.7%)

simplify66.0ms (1.8%)

prune166.0ms (4.5%)

localize9.0ms (0.2%)

series33.0ms (0.9%)

rewrite79.0ms (2.1%)

simplify64.0ms (1.7%)

prune224.0ms (6%)

regimes444.0ms (12%)

simplify2.0ms (0.1%)

end92.0ms (2.5%)

Profiling