Details

analyze370.0ms (7.9%)

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 23 to 16 computations (30.4% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
5.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify124.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/r/_binary64`
530×	`unsub-neg_binary64`
520×	`distribute-rgt-in_binary64`
518×	`div-sub_binary64`
438×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	16
2	39	16
3	72	16
4	207	16
5	430	16
6	715	16
7	1126	16
8	955	16
9	1077	16
10	1417	16
11	1909	16
12	2195	16
13	3288	16
14	3288	16
15	3681	16
16	4740	16

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite185.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`

Counts

4 → 96

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)
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1708 to 1122 computations (34.3% saved)

series123.0ms (2.6%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

39.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
30.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
22.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
9.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1026 to 692 computations (32.6% saved)

simplify146.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

413×	`div-sub_binary64`
344×	`associate-*l/_binary64`
336×	`distribute-rgt-in_binary64`
316×	`distribute-lft-in_binary64`
225×	`*-commutative_binary64`

Counts

141 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1933
1	375	1809
2	1187	1757
3	3682	1752
4	4997	1752
5	4999	1752
6	4973	1752

prune94.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	112	7	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	8	120

Error

0.0b

Counts

120 → 8

Alt Table

Status	Error	Program
	0.3b	(.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 m) (*.f64 (-.f64 1 m) (sqrt.f64 m))) v) 1) m)
	8.0b	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v)) (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v))) 1) m)
	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
✓	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
▶	0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
	0.6b	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
	20.0b	(/.f64 (.f64 m (+.f64 -1 (pow.f64 (/.f64 (-.f64 m (.f64 m m)) v) 3))) (+.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))))
	14.1b	(-.f64 (/.f64 (*.f64 m m) v) m)

Compiler

Compiled 1404 to 669 computations (52.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
0.0b	(/.f64 (-.f64 1 m) v)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite214.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
25×	`associate-r_binary64`

Counts

4 → 117

Calls

4 calls:

11.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
11.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
9.0ms	(/.f64 (-.f64 1 m) v)
8.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)

Compiler

Compiled 2138 to 1380 computations (35.5% saved)

series125.0ms (2.7%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

37.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
32.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
21.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
16.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1168 to 783 computations (33% saved)

simplify112.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

424×	`associate-*l/_binary64`
382×	`div-sub_binary64`
366×	`distribute-rgt-in_binary64`
350×	`distribute-lft-in_binary64`
349×	`associate-*r/_binary64`

Counts

165 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	2346
1	404	2220
2	1252	2176
3	4356	2164
4	5583	2164

prune101.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	117	7	124

Error

Counts

124 → 7

Alt Table

Status	Error	Program
	0.2b	(.f64 (-.f64 (.f64 (-.f64 m (*.f64 m m)) (/.f64 1 v)) 1) m)
	8.0b	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v)) (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v))) 1) m)
	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
✓	0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
▶	0.2b	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
	20.0b	(/.f64 (.f64 m (+.f64 -1 (pow.f64 (/.f64 (-.f64 m (.f64 m m)) v) 3))) (+.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))))
	14.1b	(-.f64 (/.f64 (*.f64 m m) v) m)

Compiler

Compiled 1424 to 807 computations (43.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.0b	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
0.2b	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))

rewrite122.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
12×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`

Counts

3 → 74

Calls

3 calls:

9.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
8.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1416 to 307 computations (78.3% saved)

series92.0ms (1.9%)

Error

Counts

3 → 30

Calls

3 calls:

41.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
25.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
10.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 726 to 479 computations (34% saved)

simplify136.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

302×	`associate-/l*_binary64`
289×	`distribute-rgt-in_binary64`
279×	`distribute-lft-in_binary64`
238×	`associate-*l/_binary64`
214×	`cancel-sign-sub-inv_binary64`

Counts

104 → 87

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	148	1586
1	345	1499
2	1030	1484
3	3313	1469
4	4769	1463
5	4986	1463
6	4888	1463

prune72.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Error

Counts

94 → 6

Alt Table

Status	Error	Program
	8.0b	(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v)) (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v))) 1) m)
▶	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
✓	0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
✓	0.2b	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
	20.0b	(/.f64 (.f64 m (+.f64 -1 (pow.f64 (/.f64 (-.f64 m (.f64 m m)) v) 3))) (+.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))))
	5.1b	(-.f64 (/.f64 (-.f64 (*.f64 m m) (pow.f64 m 3)) v) m)

Compiler

Compiled 1097 to 413 computations (62.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.1b	(/.f64 v (-.f64 m (*.f64 m m)))
0.1b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
0.3b	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))

rewrite330.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

156×	`times-frac_binary64`
125×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
74×	`add-cube-cbrt_binary64`
27×	`difference-of-squares_binary64`

Counts

4 → 196

Calls

4 calls:

32.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
9.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
6.0ms	(-.f64 m (*.f64 m m))
5.0ms	(/.f64 v (-.f64 m (*.f64 m m)))

Compiler

Compiled 4491 to 1846 computations (58.9% saved)

series121.0ms (2.6%)

Error

Counts

4 → 45

Calls

4 calls:

37.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
28.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
25.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
9.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1224 to 853 computations (30.3% saved)

simplify204.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

325×	`distribute-rgt-in_binary64`
303×	`div-sub_binary64`
296×	`times-frac_binary64`
295×	`distribute-lft-in_binary64`
257×	`associate-/l*_binary64`

Counts

241 → 198

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	4658
1	471	4228
2	1448	4073
3	3760	4073
4	4900	4073
5	4970	4073

prune142.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	198	6	204

Error

Counts

204 → 6

Alt Table

Status	Error	Program
	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
	0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
	0.2b	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
	0.4b	(.f64 (-.f64 (.f64 (/.f64 (+.f64 m (sqrt.f64 m)) (sqrt.f64 v)) (/.f64 (-.f64 (sqrt.f64 m) m) (sqrt.f64 v))) 1) m)
	20.0b	(/.f64 (.f64 m (+.f64 -1 (pow.f64 (/.f64 (-.f64 m (.f64 m m)) v) 3))) (+.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))))
	5.1b	(-.f64 (/.f64 (-.f64 (*.f64 m m) (pow.f64 m 3)) v) m)

Compiler

Compiled 2229 to 831 computations (62.7% saved)

regimes1.0s (21.5%)

Accuracy

Total 0.2b remaining (89%)

Threshold costs 0.2b (89%)

Compiler

Compiled 16199 to 9861 computations (39.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`/-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	19	16
2	24	16
3	26	16
4	27	16
5	25	16

end1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample821.0ms (17.4%)

Algorithm

1×

intervals

Results

261.0ms	8000×	body	128	valid
140.0ms	8056×	pre	128	true
2.0ms	56×	body	128	invalid

Compiler

Compiled 158 to 104 computations (34.2% saved)

Details

analyze370.0ms (7.9%)

sample26.0ms (0.6%)

simplify124.0ms (2.6%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite185.0ms (3.9%)

series123.0ms (2.6%)

simplify146.0ms (3.1%)

prune94.0ms (2%)

localize7.0ms (0.1%)

rewrite214.0ms (4.5%)

series125.0ms (2.7%)

simplify112.0ms (2.4%)

prune101.0ms (2.1%)

localize6.0ms (0.1%)

rewrite122.0ms (2.6%)

series92.0ms (1.9%)

simplify136.0ms (2.9%)

prune72.0ms (1.5%)

localize8.0ms (0.2%)

rewrite330.0ms (7%)

series121.0ms (2.6%)

simplify204.0ms (4.3%)

prune142.0ms (3%)

regimes1.0s (21.5%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample821.0ms (17.4%)

Profiling