Details

analyze38.0ms (1.6%)

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)

sample947.0ms (40%)

Results

802.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify73.0ms (3.1%)

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

prune2.0ms (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))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`

Counts

1 → 47

Calls

1 calls:

7.0ms

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

simplify114.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

360×	`cancel-sign-sub-inv_binary64`
305×	`neg-mul-1_binary64`
284×	`div-sub_binary64`
252×	`fma-def_binary64`
243×	`fma-neg_binary64`

Counts

71 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1291
1	274	1214
2	795	1163
3	2594	1145
4	4436	1145
5	5107	1145

prune31.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Error

Counts

58 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	0.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Compiler

Compiled 940 to 307 computations (67.3% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.5b	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series25.0ms (1%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
10.0ms	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log1p-expm1-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0ms	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

simplify84.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

472×	`fma-neg_binary64`
450×	`cancel-sign-sub-inv_binary64`
423×	`times-frac_binary64`
309×	`associate-/l*_binary64`
256×	`fma-def_binary64`

Counts

70 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1424
1	262	1306
2	852	1222
3	3573	1207
4	4953	1207
5	4966	1207

prune83.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

Counts

120 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Compiler

Compiled 1956 to 791 computations (59.6% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series56.0ms (2.4%)

Counts

3 → 72

Calls

3 calls:

24.0ms

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

22.0ms

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

10.0ms

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

rewrite101.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Rules

278×	`*-un-lft-identity_binary64`
214×	`cbrt-prod_binary64`
171×	`times-frac_binary64`
160×	`add-sqr-sqrt_binary64`
76×	`add-cube-cbrt_binary64`

Counts

3 → 247

Calls

3 calls:

27.0ms

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

26.0ms

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

5.0ms

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

simplify236.0ms (10%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-/l*_binary64`
604×	`fma-def_binary64`
261×	`associate-l_binary64`
253×	`associate-r_binary64`
167×	`associate-/r/_binary64`

Counts

319 → 306

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	325	9494
1	689	9102
2	2309	8277
3	4906	8271
4	4962	8271

prune414.0ms (17.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	591	0	591
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	591	3	594

Error

Counts

594 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Compiler

Compiled 20500 to 3740 computations (81.8% saved)

regimes73.0ms (3.1%)

Accuracy

Total 0.0b remaining (26%)

Threshold costs 0.0b (26%)

Counts

28 → 1

Compiler

Compiled 1273 to 733 computations (42.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	14	10
3	16	10
4	17	10
5	17	10

end44.0ms (1.8%)

Compiler: Compiled 66 to 30 computations (54.5% saved)

Details

analyze38.0ms (1.6%)

sample947.0ms (40%)

simplify73.0ms (3.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite10.0ms (0.4%)

simplify114.0ms (4.8%)

prune31.0ms (1.3%)

localize8.0ms (0.4%)

series25.0ms (1%)

rewrite1.0ms (0.1%)

simplify84.0ms (3.5%)

prune83.0ms (3.5%)

localize9.0ms (0.4%)

series56.0ms (2.4%)

rewrite101.0ms (4.3%)

simplify236.0ms (10%)

prune414.0ms (17.5%)

regimes73.0ms (3.1%)

simplify3.0ms (0.1%)

end44.0ms (1.8%)

Profiling