Details

analyze205.0ms (4.9%)

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 26 to 19 computations (26.9% saved)

sample34.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
6.0ms	261×	pre	128	true
0.0ms	5×	body	128	invalid

Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify123.0ms (2.9%)

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

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
▶	0.1b	(.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))
✓	0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series56.0ms (1.3%)

Counts

4 → 80

Calls

4 calls:

29.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
13.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
11.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
2.0ms	(*.f64 m (-.f64 1 m))

rewrite54.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`add-sqr-sqrt_binary64`
66×	`*-un-lft-identity_binary64`
57×	`prod-diff_binary64`
54×	`add-cube-cbrt_binary64`
26×	`distribute-lft-in_binary64`

Counts

4 → 188

Calls

4 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)
8.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
6.0ms	(*.f64 m (-.f64 1 m))

simplify214.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

359×	`associate-/l/_binary64`
345×	`associate-/r*_binary64`
257×	`associate-/r/_binary64`
250×	`associate-l_binary64`
225×	`exp-prod_binary64`

Counts

268 → 295

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	4962
1	502	4321
2	2059	4004
3	4566	3999
4	5030	3999

prune308.0ms (7.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	292	3	295
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	293	4	297

Error

Counts

297 → 4

Alt Table

Status	Error	Program
	0.1b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	0.3b	(.f64 (.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))) (cbrt.f64 (-.f64 1 m)))
	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (*.f64 v (+.f64 1 (fma.f64 m m m)))) 1) (-.f64 1 m))
▶	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))

Compiler

Compiled 7244 to 4603 computations (36.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))
✓	0.0b	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1))
✓	0.2b	(*.f64 (/.f64 m v) m)
✓	7.8b	(/.f64 (pow.f64 m 3) v)

series57.0ms (1.4%)

Counts

4 → 72

Calls

4 calls:

19.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))
15.0ms	(/.f64 (pow.f64 m 3) v)
13.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1))
11.0ms	(*.f64 (/.f64 m v) m)

rewrite51.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`*-un-lft-identity_binary64`
64×	`add-sqr-sqrt_binary64`
55×	`add-cube-cbrt_binary64`
46×	`times-frac_binary64`
24×	`prod-diff_binary64`

Counts

4 → 183

Calls

4 calls:

21.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))
7.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1))
5.0ms	(*.f64 (/.f64 m v) m)
4.0ms	(/.f64 (pow.f64 m 3) v)

simplify151.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-neg_binary64`
301×	`cancel-sign-sub-inv_binary64`
264×	`unswap-sqr_binary64`
188×	`log-prod_binary64`
174×	`associate-r_binary64`

Counts

255 → 256

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	4662
1	552	4309
2	2340	3942
3	4392	3846
4	5016	3846

prune259.0ms (6.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	254	2	256
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	256	4	260

Error

Counts

260 → 4

Alt Table

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

Compiler

Compiled 8363 to 3680 computations (56% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (.f64 (/.f64 m v) m) 1)) (.f64 (*.f64 m m) (/.f64 m v)))
	0.0b	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1))
	0.2b	(*.f64 (/.f64 m v) m)
✓	1.2b	(.f64 (.f64 m m) (/.f64 m v))

series33.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (.f64 (/.f64 m v) m) 1)) (.f64 (*.f64 m m) (/.f64 m v)))
15.0ms	(.f64 (.f64 m m) (/.f64 m v))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
17×	`associate-+l+_binary64`
14×	`add-cbrt-cube_binary64`

Counts

2 → 78

Calls

2 calls:

11.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (.f64 (/.f64 m v) m) 1)) (.f64 (*.f64 m m) (/.f64 m v)))
8.0ms	(.f64 (.f64 m m) (/.f64 m v))

simplify128.0ms (3%)

Algorithm

1×	egg-herbie

Rules

449×	`fma-neg_binary64`
404×	`associate-/l*_binary64`
367×	`associate-*r/_binary64`
323×	`associate-*l/_binary64`
244×	`cancel-sign-sub-inv_binary64`

Counts

126 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2195
1	467	1996
2	1900	1928
3	4604	1909
4	4992	1909
5	4916	1909

prune229.0ms (5.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	247	4	251

Error

Counts

251 → 4

Alt Table

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

Compiler

Compiled 8348 to 2838 computations (66% saved)

localize56.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (.f64 (/.f64 m v) m) 1)) (.f64 (pow.f64 m 3) (/.f64 1 v)))
	0.0b	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1))
	0.2b	(*.f64 (/.f64 m v) m)
✓	7.9b	(*.f64 (pow.f64 m 3) (/.f64 1 v))

series33.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

19.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (.f64 (/.f64 m v) m) 1)) (.f64 (pow.f64 m 3) (/.f64 1 v)))
14.0ms	(*.f64 (pow.f64 m 3) (/.f64 1 v))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
25×	`add-exp-log_binary64`
21×	`add-cube-cbrt_binary64`
17×	`associate-+l+_binary64`

Counts

2 → 106

Calls

2 calls:

11.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (.f64 (/.f64 m v) m) 1)) (.f64 (pow.f64 m 3) (/.f64 1 v)))
8.0ms	(*.f64 (pow.f64 m 3) (/.f64 1 v))

simplify101.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

727×	`fma-neg_binary64`
337×	`associate-/l*_binary64`
285×	`cancel-sign-sub-inv_binary64`
283×	`associate-*l/_binary64`
167×	`associate-l_binary64`

Counts

154 → 156

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2814
1	444	2654
2	1842	2416
3	4550	2416
4	4983	2416

prune372.0ms (8.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	275	4	279

Error

Counts

279 → 4

Alt Table

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

Compiler

Compiled 9245 to 4359 computations (52.9% saved)

regimes703.0ms (16.8%)

Accuracy

Total 0.1b remaining (78.8%)

Threshold costs 0.1b (78.8%)

Counts

209 → 1

Compiler

Compiled 11128 to 7763 computations (30.2% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`distribute-lft-neg-in_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	26	29
2	32	29
3	36	29
4	39	29
5	40	29
6	38	29

end1.0ms (0%)

Compiler: Compiled 22 to 13 computations (40.9% saved)

sample933.0ms (22.2%)

Algorithm

1×

intervals

Results

374.0ms	8000×	body	128	valid
190.0ms	8062×	pre	128	true
3.0ms	62×	body	128	invalid

Compiler

Compiled 134 to 84 computations (37.3% saved)

Details

analyze205.0ms (4.9%)

sample34.0ms (0.8%)

simplify123.0ms (2.9%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series56.0ms (1.3%)

rewrite54.0ms (1.3%)

simplify214.0ms (5.1%)

prune308.0ms (7.4%)

localize11.0ms (0.3%)

series57.0ms (1.4%)

rewrite51.0ms (1.2%)

simplify151.0ms (3.6%)

prune259.0ms (6.2%)

localize10.0ms (0.2%)

series33.0ms (0.8%)

rewrite26.0ms (0.6%)

simplify128.0ms (3%)

prune229.0ms (5.5%)

localize56.0ms (1.3%)

series33.0ms (0.8%)

rewrite30.0ms (0.7%)

simplify101.0ms (2.4%)

prune372.0ms (8.9%)

regimes703.0ms (16.8%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample933.0ms (22.2%)

Profiling