Details

analyze53.0ms (2%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample877.0ms (32.7%)

Results

765.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify76.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
457×	`times-frac_binary64`
316×	`div-sub_binary64`
141×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	71	12
4	152	12
5	207	12
6	597	10
7	937	10
8	1314	10
9	1337	10
10	1342	10
11	1369	10
12	1379	10
13	1379	10
14	1274	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

rewrite61.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

884×	`expm1-log1p-u_binary64`
758×	`prod-diff_binary64`
77×	`add-sqr-sqrt_binary64`
74×	`log1p-expm1-u_binary64`
72×	`add-log-exp_binary64`

Counts

1 → 36

Calls

1 calls:

60.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	143	10
2	2146	10
3	5253	10
0	0	0
1	0	0

simplify67.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-neg_binary64`
821×	`associate-/l*_binary64`
515×	`associate-/r*_binary64`
386×	`associate-/r/_binary64`
251×	`cancel-sign-sub-inv_binary64`

Counts

60 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	426
1	110	393
2	368	342
3	1432	324
4	4696	324
5	5368	324

prune37.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Error

Counts

51 → 3

Alt Table

Status	Error	Program
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	34.1b	(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))

Compiler

Compiled 734 to 310 computations (57.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.4b	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series31.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

17.0ms	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
14.0ms	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite141.0ms (5.3%)

Algorithm

2×	batch-egg-rewrite

Rules

857×	`prod-diff_binary64`
317×	`fma-def_binary64`
212×	`fma-neg_binary64`
155×	`expm1-udef_binary64`
155×	`log1p-udef_binary64`

Counts

2 → 74

Calls

2 calls:

139.0ms	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
139.0ms	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	162	22
2	2336	22
3	4802	22
4	4995	22
0	0	0
1	0	0

simplify116.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

467×	`fma-neg_binary64`
446×	`cancel-sign-sub-inv_binary64`
423×	`times-frac_binary64`
305×	`associate-/l*_binary64`
253×	`fma-def_binary64`

Counts

122 → 104

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1089
1	234	1017
2	808	933
3	3473	918
4	4975	918
5	4986	918

prune91.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	154	3	157

Error

Counts

157 → 3

Alt Table

Status	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	34.1b	(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))

Compiler

Compiled 2360 to 978 computations (58.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

series39.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

25.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
15.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

rewrite89.0ms (3.3%)

Algorithm

2×	batch-egg-rewrite

Rules

758×	`prod-diff_binary64`
394×	`fma-def_binary64`
211×	`fma-neg_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`

Counts

2 → 92

Calls

2 calls:

86.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
86.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	192	23
2	2625	23
3	4782	23
4	5004	23
0	0	0
1	0	0

simplify66.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
389×	`distribute-neg-frac_binary64`
342×	`fma-def_binary64`
330×	`times-frac_binary64`
258×	`associate-/l*_binary64`

Counts

140 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	905
1	249	840
2	867	761
3	3593	743
4	4938	743
5	5028	743

prune108.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	176	3	179

Error

Counts

179 → 3

Alt Table

Status	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
▶	34.1b	(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))

Compiler

Compiled 2783 to 1184 computations (57.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 f n) 1)
✓	0.1b	(*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))
✓	0.2b	(pow.f64 (/.f64 f n) 3)
✓	9.0b	(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))

series55.0ms (2.1%)

Counts

4 → 87

Calls

4 calls:

22.0ms	(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
15.0ms	(pow.f64 (/.f64 f n) 3)
14.0ms	(*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))
4.0ms	(+.f64 (/.f64 f n) 1)

rewrite84.0ms (3.2%)

Algorithm

2×	batch-egg-rewrite

Rules

512×	`fma-def_binary64`
267×	`fma-neg_binary64`
242×	`egg-rr`
190×	`log1p-udef_binary64`
189×	`expm1-udef_binary64`

Counts

4 → 242

Calls

4 calls:

77.0ms	(+.f64 (/.f64 f n) 1)
77.0ms	(*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))
77.0ms	(pow.f64 (/.f64 f n) 3)
77.0ms	(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	226	47
2	2933	47
3	4928	47
0	0	0
1	0	0

simplify218.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-def_binary64`
497×	`unswap-sqr_binary64`
490×	`sqr-pow_binary64`
349×	`times-frac_binary64`
268×	`*-commutative_binary64`

Counts

329 → 253

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	1140
1	42	1140
2	91	909
3	336	885
4	1708	843
5	3301	843
6	3725	843
7	3959	843
8	4269	843
9	4821	843
10	4991	843

prune154.0ms (5.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	253	3	256

Error

Counts

256 → 3

Alt Table

Status	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	34.1b	(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))

Compiler

Compiled 6377 to 3409 computations (46.5% saved)

regimes227.0ms (8.5%)

Accuracy

Total 0.0b remaining (50.9%)

Threshold costs 0.0b (50.9%)

Counts

94 → 1

Compiler

Compiled 3797 to 2549 computations (32.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	13	10
2	17	10
3	19	10
4	20	10
5	19	10

end52.0ms (1.9%)

Compiler: Compiled 62 to 38 computations (38.7% saved)

Details

analyze53.0ms (2%)

sample877.0ms (32.7%)

simplify76.0ms (2.8%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite61.0ms (2.3%)

simplify67.0ms (2.5%)

prune37.0ms (1.4%)

localize7.0ms (0.3%)

series31.0ms (1.2%)

rewrite141.0ms (5.3%)

simplify116.0ms (4.3%)

prune91.0ms (3.4%)

localize7.0ms (0.2%)

series39.0ms (1.5%)

rewrite89.0ms (3.3%)

simplify66.0ms (2.5%)

prune108.0ms (4%)

localize9.0ms (0.3%)

series55.0ms (2.1%)

rewrite84.0ms (3.2%)

simplify218.0ms (8.1%)

prune154.0ms (5.8%)

regimes227.0ms (8.5%)

simplify2.0ms (0.1%)

end52.0ms (1.9%)

Profiling