Details

analyze187.0ms (5.3%)

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 25 to 18 computations (28% saved)

sample33.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
6.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify133.0ms (3.7%)

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

prune7.0ms (0.2%)

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

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite53.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
46×	`*-un-lft-identity_binary64`
37×	`add-cube-cbrt_binary64`
36×	`prod-diff_binary64`
26×	`distribute-lft-in_binary64`

Counts

3 → 137

Calls

3 calls:

13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
12.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
6.0ms	(*.f64 m (-.f64 1 m))

series64.0ms (1.8%)

Counts

3 → 56

Calls

3 calls:

32.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
25.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
6.0ms	(*.f64 m (-.f64 1 m))

simplify230.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

806×	`distribute-rgt-in_binary64`
733×	`distribute-lft-in_binary64`
365×	`fma-neg_binary64`
242×	`associate-l_binary64`
194×	`associate-r_binary64`

Counts

193 → 366

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	3683
1	464	3476
2	1999	3134
3	4909	3134
4	5060	3134

prune213.0ms (6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	363	3	366
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	365	3	368

Error

Counts

368 → 3

Alt Table

Status	Error	Program
	0.0b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
	24.3b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
▶	0.0b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))

Compiler

Compiled 5282 to 3189 computations (39.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 m (pow.f64 m 2))
✓	0.0b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
✓	0.0b	(/.f64 (-.f64 m (pow.f64 m 2)) v)

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`
42×	`prod-diff_binary64`
30×	`times-frac_binary64`

Counts

3 → 174

Calls

3 calls:

19.0ms	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
7.0ms	(/.f64 (-.f64 m (pow.f64 m 2)) v)
5.0ms	(-.f64 m (pow.f64 m 2))

series59.0ms (1.7%)

Counts

3 → 43

Calls

3 calls:

29.0ms	(/.f64 (-.f64 m (pow.f64 m 2)) v)
22.0ms	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))
8.0ms	(-.f64 m (pow.f64 m 2))

simplify209.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

460×	`exp-prod_binary64`
239×	`times-frac_binary64`
225×	`fma-neg_binary64`
210×	`log-prod_binary64`
196×	`div-sub_binary64`

Counts

217 → 416

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	4995
1	566	4142
2	2090	3907
3	3862	3907
4	4568	3907
5	4892	3907

prune245.0ms (6.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	416	0	416
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	416	3	419

Error

Counts

419 → 3

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
	24.3b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
✓	0.0b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))

Compiler

Compiled 6772 to 4143 computations (38.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite58.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

171×	`times-frac_binary64`
169×	`add-sqr-sqrt_binary64`
151×	`*-un-lft-identity_binary64`
95×	`add-cube-cbrt_binary64`
40×	`difference-of-squares_binary64`

Counts

3 → 226

Calls

3 calls:

30.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
8.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
4.0ms	(/.f64 v (-.f64 1 m))

series71.0ms (2%)

Counts

3 → 60

Calls

3 calls:

28.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
22.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
21.0ms	(/.f64 v (-.f64 1 m))

simplify210.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

846×	`fma-neg_binary64`
233×	`associate-/l*_binary64`
191×	`associate-/r/_binary64`
185×	`*-commutative_binary64`
166×	`associate-l_binary64`

Counts

286 → 517

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	6288
1	761	5894
2	3218	5793
3	4556	5793
4	5219	5793

prune227.0ms (6.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	517	0	517
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	517	3	520

Error

Counts

520 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
▶	24.3b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
✓	0.0b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))

Compiler

Compiled 8328 to 5127 computations (38.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 m (pow.f64 m 2))
✓	0.0b	(*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m))
✓	0.1b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 94

Calls

2 calls:

10.0ms	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
10.0ms	(*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m))

series42.0ms (1.2%)

Counts

2 → 32

Calls

2 calls:

36.0ms	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
6.0ms	(*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m))

simplify211.0ms (6%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-neg_binary64`
868×	`times-frac_binary64`
245×	`associate-/r*_binary64`
241×	`associate-/l/_binary64`
154×	`associate-/r/_binary64`

Counts

126 → 238

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2520
1	438	2283
2	1750	2202
3	4436	2202
4	5108	2202

prune147.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	348	3	351

Error

Counts

351 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
✓	24.3b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
✓	0.0b	(*.f64 (-.f64 (/.f64 (-.f64 m (pow.f64 m 2)) v) 1) (-.f64 1 m))

Compiler

Compiled 5331 to 3077 computations (42.3% saved)

regimes104.0ms (2.9%)

Accuracy

Total 0.0b remaining (67%)

Threshold costs 0.0b (67%)

Compiler

Compiled 1500 to 1044 computations (30.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	21	19
2	28	19
3	32	19
4	34	19
5	32	19

end1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

sample926.0ms (26.2%)

Algorithm

1×

intervals

Results

376.0ms	8000×	body	128	valid
204.0ms	8069×	pre	128	true
3.0ms	69×	body	128	invalid

Compiler

Compiled 85 to 62 computations (27.1% saved)

Details

analyze187.0ms (5.3%)

sample33.0ms (0.9%)

simplify133.0ms (3.7%)

prune7.0ms (0.2%)

localize14.0ms (0.4%)

rewrite53.0ms (1.5%)

series64.0ms (1.8%)

simplify230.0ms (6.5%)

prune213.0ms (6%)

localize8.0ms (0.2%)

rewrite44.0ms (1.2%)

series59.0ms (1.7%)

simplify209.0ms (5.9%)

prune245.0ms (6.9%)

localize7.0ms (0.2%)

rewrite58.0ms (1.7%)

series71.0ms (2%)

simplify210.0ms (5.9%)

prune227.0ms (6.4%)

localize7.0ms (0.2%)

rewrite28.0ms (0.8%)

series42.0ms (1.2%)

simplify211.0ms (6%)

prune147.0ms (4.1%)

regimes104.0ms (2.9%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample926.0ms (26.2%)

Profiling