Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
12.5%	0%	87.5%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample908.0ms (21%)

Results

764.0ms

8256×

body

128

valid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify143.0ms (3.3%)

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

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize6.0ms (0.1%)

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

series37.0ms (0.9%)

Counts

4 → 80

Calls

4 calls:

14.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
2.0ms	(*.f64 m (-.f64 1 m))

rewrite68.0ms (1.6%)

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:

12.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
7.0ms	(*.f64 m (-.f64 1 m))
6.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify250.0ms (5.8%)

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 → 294

Iterations

Useful iterations: 3 (0.0ms)

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

prune498.0ms (11.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	292	2	294
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	294	2	296

Error

Counts

296 → 2

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (fma.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v) -1) (-.f64 1 m))
	28.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))

Compiler

Compiled 7131 to 4548 computations (36.2% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series35.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

21.0ms	(.f64 (fma.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v) -1) (-.f64 1 m))
14.0ms	(fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v) -1)

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
18×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 61

Calls

2 calls:

10.0ms	(.f64 (fma.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v) -1) (-.f64 1 m))
0.0ms	(fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v) -1)

simplify214.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

539×	`exp-prod_binary64`
402×	`fma-neg_binary64`
349×	`fma-def_binary64`
341×	`distribute-rgt-in_binary64`
319×	`distribute-lft-in_binary64`

Counts

109 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	2733
1	240	2251
2	844	2135
3	2653	1885
4	4254	1885
5	4896	1885
6	4845	1885

prune248.0ms (5.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	184	2	186

Error

Counts

186 → 2

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (fma.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v) -1) (-.f64 1 m))
▶	28.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))

Compiler

Compiled 4448 to 2732 computations (38.6% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 m v) m)
✓	5.7b	(/.f64 (pow.f64 m 3) v)
✓	21.0b	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1))
✓	22.3b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))

series88.0ms (2%)

Counts

4 → 72

Calls

4 calls:

30.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))
21.0ms	(/.f64 (pow.f64 m 3) v)
20.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1))
17.0ms	(*.f64 (/.f64 m v) m)

rewrite97.0ms (2.2%)

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:

36.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))
17.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1))
12.0ms	(/.f64 (pow.f64 m 3) v)
8.0ms	(*.f64 (/.f64 m v) m)

simplify262.0ms (6.1%)

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

prune359.0ms (8.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	256	2	258

Error

Counts

258 → 2

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (fma.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v) -1) (-.f64 1 m))
✓	28.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (*.f64 (/.f64 m v) m) 1)) (/.f64 (pow.f64 m 3) v))

Compiler

Compiled 8213 to 3590 computations (56.3% saved)

regimes948.0ms (21.9%)

Accuracy

Total 0.0b remaining (62.7%)

Threshold costs 0.0b (62.7%)

Counts

162 → 1

Compiler

Compiled 8266 to 5915 computations (28.4% saved)

simplify5.0ms (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	10	19
1	19	19
2	23	19
3	25	19
4	26	19
5	24	19

end103.0ms (2.4%)

Compiler: Compiled 68 to 47 computations (30.9% saved)

Details

analyze2.0ms (0%)

sample908.0ms (21%)

simplify143.0ms (3.3%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series37.0ms (0.9%)

rewrite68.0ms (1.6%)

simplify250.0ms (5.8%)

prune498.0ms (11.5%)

localize15.0ms (0.3%)

series35.0ms (0.8%)

rewrite19.0ms (0.4%)

simplify214.0ms (4.9%)

prune248.0ms (5.7%)

localize19.0ms (0.4%)

series88.0ms (2%)

rewrite97.0ms (2.2%)

simplify262.0ms (6.1%)

prune359.0ms (8.3%)

regimes948.0ms (21.9%)

simplify5.0ms (0.1%)

end103.0ms (2.4%)

Profiling