Details

analyze94.0ms (3.5%)

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)

sample136.0ms (5.2%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
6.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify131.0ms (5%)

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

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize7.0ms (0.3%)

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)

series27.0ms (1%)

Counts

3 → 56

Calls

3 calls:

13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
4.0ms	(*.f64 m (-.f64 1 m))

rewrite37.0ms (1.4%)

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

simplify167.0ms (6.3%)

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 → 219

Iterations

Useful iterations: 2 (0.0ms)

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

prune176.0ms (6.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	218	3	221

Error

Counts

221 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
▶	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))

Compiler

Compiled 5318 to 3205 computations (39.7% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
✓	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
✓	8.9b	(/.f64 (pow.f64 m 3) v)
✓	13.4b	(/.f64 (*.f64 m m) v)

series61.0ms (2.3%)

Counts

4 → 72

Calls

4 calls:

20.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
15.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
14.0ms	(/.f64 (pow.f64 m 3) v)
12.0ms	(/.f64 (*.f64 m m) v)

rewrite49.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
49×	`add-cube-cbrt_binary64`
39×	`times-frac_binary64`
24×	`prod-diff_binary64`

Counts

4 → 172

Calls

4 calls:

21.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
8.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
4.0ms	(/.f64 (pow.f64 m 3) v)
4.0ms	(/.f64 (*.f64 m m) v)

simplify154.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

611×	`associate-/l/_binary64`
458×	`fma-neg_binary64`
451×	`unswap-sqr_binary64`
187×	`cancel-sign-sub-inv_binary64`
136×	`associate-/l*_binary64`

Counts

244 → 229

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	4559
1	487	4206
2	2089	3968
3	4854	3968
4	5037	3968

prune193.0ms (7.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	229	3	232

Error

Counts

232 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
▶	0.1b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
✓	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))

Compiler

Compiled 7550 to 3358 computations (55.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series26.0ms (1%)

Counts

3 → 64

Calls

3 calls:

12.0ms	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
8.0ms	(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
6.0ms	(/.f64 (-.f64 1 m) v)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`

Counts

3 → 81

Calls

3 calls:

5.0ms	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
5.0ms	(/.f64 (-.f64 1 m) v)
2.0ms	(fma.f64 m (/.f64 (-.f64 1 m) v) -1)

simplify84.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

426×	`fma-neg_binary64`
388×	`associate-l_binary64`
380×	`div-sub_binary64`
323×	`associate-r_binary64`
319×	`distribute-rgt-in_binary64`

Counts

145 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2355
1	323	2151
2	936	2109
3	3601	2109
4	5118	2109

prune96.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Error

Counts

134 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.1b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
✓	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))

Compiler

Compiled 2392 to 1580 computations (33.9% saved)

regimes167.0ms (6.3%)

Accuracy

Total 0.1b remaining (78.7%)

Threshold costs 0.1b (78.7%)

Counts

51 → 1

Compiler

Compiled 2268 to 1560 computations (31.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	18	19
2	22	19
3	24	19
4	25	19
5	23	19

end1.0ms (0%)

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

sample991.0ms (37.6%)

Algorithm

1×

intervals

Results

375.0ms	8000×	body	128	valid
266.0ms	8054×	pre	128	true
3.0ms	54×	body	128	invalid

Compiler

Compiled 94 to 67 computations (28.7% saved)

Details

analyze94.0ms (3.5%)

sample136.0ms (5.2%)

simplify131.0ms (5%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

series27.0ms (1%)

rewrite37.0ms (1.4%)

simplify167.0ms (6.3%)

prune176.0ms (6.7%)

localize12.0ms (0.5%)

series61.0ms (2.3%)

rewrite49.0ms (1.9%)

simplify154.0ms (5.8%)

prune193.0ms (7.3%)

localize7.0ms (0.3%)

series26.0ms (1%)

rewrite16.0ms (0.6%)

simplify84.0ms (3.2%)

prune96.0ms (3.6%)

regimes167.0ms (6.3%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample991.0ms (37.6%)

Profiling