Details

analyze59.0ms (2.9%)

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)

sample909.0ms (44.5%)

Results

790.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify75.0ms (3.7%)

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))

series9.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite10.0ms (0.5%)

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))

simplify121.0ms (5.9%)

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

prune32.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Error

Counts

58 → 4

Alt Table

Status	Error	Program
	30.4b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	33.3b	(fma.f64 2 (/.f64 f n) 1)
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

Compiler

Compiled 930 to 323 computations (65.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series35.0ms (1.7%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
17.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite33.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64`
80×	`times-frac_binary64`
76×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
52×	`cube-prod_binary64`

Counts

2 → 144

Calls

2 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
9.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

simplify132.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

413×	`fma-def_binary64`
329×	`unswap-sqr_binary64`
283×	`distribute-rgt-in_binary64`
228×	`log-prod_binary64`
219×	`distribute-lft-in_binary64`

Counts

192 → 145

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	4212
1	632	3868
2	2080	3747
3	4590	3741
4	4974	3741

prune112.0ms (5.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	202	4	206

Error

Counts

206 → 4

Alt Table

Status	Error	Program
▶	30.4b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	33.3b	(fma.f64 2 (/.f64 f n) 1)
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

Compiler

Compiled 3799 to 1498 computations (60.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

series55.0ms (2.7%)

Counts

1 → 24

Calls

1 calls:

55.0ms

(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 39

Calls

1 calls:

9.0ms

(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

simplify71.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

332×	`associate-l_binary64`
268×	`associate-r_binary64`
245×	`associate-*l/_binary64`
242×	`associate-*r/_binary64`
228×	`distribute-rgt-in_binary64`

Counts

63 → 63

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	1078
1	227	929
2	773	850
3	2605	849
4	4059	838
5	4960	838

prune37.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	63	4	67

Error

Counts

67 → 4

Alt Table

Status	Error	Program
✓	30.4b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	33.3b	(fma.f64 2 (/.f64 f n) 1)
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

Compiler

Compiled 1269 to 628 computations (50.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (/.f64 f n) 1)

series6.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(fma.f64 2 (/.f64 f n) 1)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 2 (/.f64 f n) 1)

simplify98.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1229×	`associate-+l+_binary64`
577×	`distribute-rgt-in_binary64`
498×	`fma-def_binary64`
454×	`associate-*l/_binary64`
420×	`distribute-lft-in_binary64`

Counts

34 → 16

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	295
1	25	277
2	52	277
3	126	277
4	402	277
5	1574	277
6	3395	277
7	3275	277
8	3461	277
9	3774	277
10	4151	277
11	6109	277

prune10.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	16	4	20

Error

Counts

20 → 4

Alt Table

Status	Error	Program
✓	30.4b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	33.3b	(fma.f64 2 (/.f64 f n) 1)
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

Compiler

Compiled 194 to 120 computations (38.1% saved)

regimes61.0ms (3%)

Accuracy

Total 0.0b remaining (72.1%)

Threshold costs 0.0b (72.1%)

Counts

21 → 1

Compiler

Compiled 694 to 484 computations (30.3% saved)

simplify2.0ms (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

end140.0ms (6.9%)

Compiler: Compiled 61 to 38 computations (37.7% saved)

Details

analyze59.0ms (2.9%)

sample909.0ms (44.5%)

simplify75.0ms (3.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series9.0ms (0.4%)

rewrite10.0ms (0.5%)

simplify121.0ms (5.9%)

prune32.0ms (1.5%)

localize7.0ms (0.3%)

series35.0ms (1.7%)

rewrite33.0ms (1.6%)

simplify132.0ms (6.5%)

prune112.0ms (5.5%)

localize6.0ms (0.3%)

series55.0ms (2.7%)

rewrite12.0ms (0.6%)

simplify71.0ms (3.5%)

prune37.0ms (1.8%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite1.0ms (0%)

simplify98.0ms (4.8%)

prune10.0ms (0.5%)

regimes61.0ms (3%)

simplify2.0ms (0.1%)

end140.0ms (6.9%)

Profiling