Details

analyze2.3s (9.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.9%	0.1%	11
1.6%	98.3%	0.1%	12
1.6%	98.3%	0.1%	13
2.3%	97.5%	0.1%	14

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample15.3s (60.9%)

Symmetry

(sort a1 a2)

Results

11.3s	4929×	body	8192	exit
1.4s	1818×	body	1024	valid
1.0s	5032×	body	128	valid
582.0ms	792×	body	1024	invalid
458.0ms	938×	body	512	valid
198.0ms	462×	body	256	valid
179.0ms	373×	body	512	invalid
77.0ms	198×	body	256	invalid
40.0ms	186×	body	128	invalid
6.0ms	6×	body	2048	valid

Compiler

Compiled 45 to 31 computations (31.1% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

32×	`fma-def_binary64`
23×	`*-commutative_binary64`
20×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
9×	`associate-*r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	27	18
2	53	18
3	76	18
4	103	18
5	117	18
6	132	18
7	134	18
8	136	18
9	136	18

prune5.0ms (0%)

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

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.4b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
▶	0.4b	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 108 to 70 computations (35.2% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	0.0b	(cos.f64 th)
✓	0.1b	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
✓	0.4b	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))

series94.0ms (0.4%)

Counts

4 → 88

Calls

4 calls:

60.0ms	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
23.0ms	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
9.0ms	(fma.f64 a1 a1 (*.f64 a2 a2))
2.0ms	(cos.f64 th)

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`

Counts

4 → 104

Calls

4 calls:

9.0ms	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
3.0ms	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
1.0ms	(cos.f64 th)
0.0ms	(fma.f64 a1 a1 (*.f64 a2 a2))

simplify166.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-l_binary64`
420×	`associate-r_binary64`
336×	`associate-/l*_binary64`
297×	`fma-neg_binary64`
276×	`associate-*r/_binary64`

Counts

192 → 191

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	3723
1	401	3380
2	1380	3332
3	4425	3332
4	4788	3332
5	4979	3332
6	4971	3332

prune191.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	184	7	191
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	186	7	193

Error

Counts

193 → 7

Alt Table

Status	Error	Program
	1.2b	(.f64 (.f64 (cos.f64 th) (.f64 (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (cbrt.f64 (fma.f64 a2 a2 (.f64 a1 a1))))) (/.f64 (cbrt.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2)))
	0.6b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2))))
	0.7b	(.f64 (cos.f64 th) (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2)))))
	0.4b	(.f64 (cos.f64 th) (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2))))
▶	0.4b	(.f64 (.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2))))
	0.4b	(.f64 (.f64 (cos.f64 th) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2)))
	1.2b	(.f64 (.f64 (cos.f64 th) (.f64 (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))))) (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))))

Compiler

Compiled 4435 to 2058 computations (53.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))
✓	0.2b	(/.f64 (sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2)))
✓	0.3b	(.f64 (.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2))))
✓	6.4b	(sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))

series685.0ms (2.7%)

Counts

4 → 120

Calls

4 calls:

404.0ms	(.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))
221.0ms	(.f64 (.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2))))
46.0ms	(/.f64 (sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2)))
14.0ms	(sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))

rewrite63.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`times-frac_binary64`
99×	`sqrt-prod_binary64`
91×	`add-sqr-sqrt_binary64`
86×	`*-un-lft-identity_binary64`
86×	`add-cube-cbrt_binary64`

Counts

4 → 219

Calls

4 calls:

19.0ms	(.f64 (.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2))))
10.0ms	(.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))
5.0ms	(/.f64 (sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2)))
1.0ms	(sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))

simplify225.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-def_binary64`
486×	`associate-l_binary64`
420×	`associate-r_binary64`
263×	`associate-*r/_binary64`
258×	`fma-neg_binary64`

Counts

339 → 404

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	12369
1	1171	9283
2	4493	9166
3	5108	9166

prune437.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	402	2	404
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	404	7	411

Error

Counts

411 → 7

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 2)))
	0.6b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2))))
	0.7b	(.f64 (cos.f64 th) (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2)))))
	0.4b	(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
✓	0.4b	(.f64 (.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2))))
	0.4b	(.f64 (.f64 (cos.f64 th) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2)))
	1.2b	(.f64 (.f64 (cos.f64 th) (.f64 (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))))) (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))))

Compiler

Compiled 15698 to 9224 computations (41.2% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.2b	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))
✓	0.2b	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
✓	0.3b	(/.f64 (.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 2)))

series1.1s (4.2%)

Counts

3 → 96

Calls

3 calls:

680.0ms

(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))

331.0ms

(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

56.0ms

(/.f64 (*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 2)))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64`
21×	`add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

11.0ms

(/.f64 (*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 2)))

8.0ms

(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))

5.0ms

(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

simplify146.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

847×	`fma-def_binary64`
392×	`cancel-sign-sub-inv_binary64`
354×	`fma-neg_binary64`
216×	`unswap-sqr_binary64`
163×	`associate-r_binary64`

Counts

189 → 183

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	5622
1	571	4372
2	2416	4261
3	4514	4045
4	4987	4045

prune255.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	200	7	207

Error

Counts

207 → 7

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 2)))
	0.6b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2))))
	0.7b	(.f64 (cos.f64 th) (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2)))))
▶	0.4b	(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
✓	0.4b	(.f64 (.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2))))
	0.4b	(.f64 (.f64 (cos.f64 th) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2)))
	1.2b	(.f64 (.f64 (cos.f64 th) (.f64 (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))))) (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))))

Compiler

Compiled 6199 to 3898 computations (37.1% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	0.1b	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
✓	0.2b	(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
✓	0.3b	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))

series505.0ms (2%)

Counts

4 → 132

Calls

4 calls:

412.0ms	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))
59.0ms	(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
28.0ms	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
6.0ms	(fma.f64 a2 a2 (*.f64 a1 a1))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`times-frac_binary64`
32×	`add-exp-log_binary64`
24×	`cbrt-prod_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`

Counts

4 → 117

Calls

4 calls:

10.0ms	(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
7.0ms	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))
3.0ms	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
0.0ms	(fma.f64 a2 a2 (*.f64 a1 a1))

simplify200.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg_binary64`
731×	`cancel-sign-sub-inv_binary64`
207×	`unswap-sqr_binary64`
185×	`neg-mul-1_binary64`
181×	`neg-sub0_binary64`

Counts

249 → 235

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	6073
1	667	5381
2	2798	5372
3	4204	5372
4	4992	5372
5	5306	5372

prune287.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	235	7	242

Error

Counts

242 → 7

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 2)))
	0.6b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 2))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2))))
	0.7b	(.f64 (cos.f64 th) (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 (sqrt.f64 2)))))
✓	0.4b	(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
✓	0.4b	(.f64 (.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2))))
	0.4b	(.f64 (.f64 (cos.f64 th) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2)))
	1.2b	(.f64 (.f64 (cos.f64 th) (.f64 (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))))) (cbrt.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2))))

Compiler

Compiled 7214 to 4491 computations (37.7% saved)

regimes2.8s (11.1%)

Accuracy

Total 0.4b remaining (85.8%)

Threshold costs 0.4b (85.8%)

Counts

254 → 1

Compiler

Compiled 50800 to 36853 computations (27.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	15	18
2	14	18

end307.0ms (1.2%)

Compiler: Compiled 237 to 166 computations (30% saved)

Details

analyze2.3s (9.1%)

sample15.3s (60.9%)

simplify9.0ms (0%)

prune5.0ms (0%)

localize9.0ms (0%)

series94.0ms (0.4%)

rewrite20.0ms (0.1%)

simplify166.0ms (0.7%)

prune191.0ms (0.8%)

localize17.0ms (0.1%)

series685.0ms (2.7%)

rewrite63.0ms (0.3%)

simplify225.0ms (0.9%)

prune437.0ms (1.7%)

localize12.0ms (0%)

series1.1s (4.2%)

rewrite31.0ms (0.1%)

simplify146.0ms (0.6%)

prune255.0ms (1%)

localize12.0ms (0%)

series505.0ms (2%)

rewrite29.0ms (0.1%)

simplify200.0ms (0.8%)

prune287.0ms (1.1%)

regimes2.8s (11.1%)

simplify2.0ms (0%)

end307.0ms (1.2%)

Profiling