Details

analyze53.0ms (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
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample795.0ms (42.5%)

Results

737.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))

series9.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(/.f64 x (+.f64 y x))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 35

Calls

1 calls:

3.0ms

(/.f64 x (+.f64 y x))

simplify44.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
547×	`associate-/r*_binary64`
430×	`associate-/l/_binary64`
325×	`associate-/r/_binary64`
276×	`cancel-sign-sub-inv_binary64`

Counts

59 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	477	833
3	1577	791
4	4946	791

prune34.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Error

Counts

69 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
	14.6b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
	0.0b	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))

Compiler

Compiled 905 to 304 computations (66.4% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 y x))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
✓	0.5b	(expm1.f64 (/.f64 x (+.f64 y x)))

series20.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

13.0ms	(expm1.f64 (/.f64 x (+.f64 y x)))
7.0ms	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))

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 x (+.f64 y x)))
0.0ms	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))

simplify70.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

905×	`fma-neg_binary64`
807×	`cancel-sign-sub-inv_binary64`
280×	`neg-mul-1_binary64`
245×	`times-frac_binary64`
201×	`distribute-neg-frac_binary64`

Counts

70 → 65

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	1322
1	199	1258
2	566	1144
3	2433	1090
4	4211	1078
5	4991	1078

prune259.0ms (13.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	133	4	137

Error

Counts

137 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
	14.6b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
▶	0.0b	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))

Compiler

Compiled 1900 to 755 computations (60.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 x (+.f64 y x)))
	0.0b	(/.f64 x (+.f64 y x))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))

series20.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(log1p.f64 (/.f64 x (+.f64 y x)))
9.0ms	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-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:

1.0ms	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))
0.0ms	(log1p.f64 (/.f64 x (+.f64 y x)))

simplify98.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

782×	`cancel-sign-sub-inv_binary64`
542×	`fma-neg_binary64`
299×	`sub-neg_binary64`
294×	`neg-mul-1_binary64`
281×	`neg-sub0_binary64`

Counts

70 → 64

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1241
1	178	1195
2	494	1093
3	2003	1042
4	4366	1042
5	5043	1042

prune70.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Error

Counts

136 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
▶	14.6b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))

Compiler

Compiled 1871 to 753 computations (59.8% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
✓	14.6b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

series36.0ms (1.9%)

Counts

3 → 72

Calls

3 calls:

15.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
13.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
7.0ms	(/.f64 x (+.f64 x y))

rewrite26.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
46×	`add-cube-cbrt_binary64`
42×	`cbrt-prod_binary64`

Counts

3 → 147

Calls

3 calls:

6.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
5.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
3.0ms	(/.f64 x (+.f64 x y))

simplify120.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-neg_binary64`
385×	`unswap-sqr_binary64`
317×	`associate-/l/_binary64`
313×	`associate-/r/_binary64`
311×	`fma-def_binary64`

Counts

219 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	3874
1	552	3661
2	1718	3457
3	4645	3457
4	5126	3457

prune86.0ms (4.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	155	4	159

Error

Counts

159 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	14.6b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y x))))

Compiler

Compiled 2511 to 1128 computations (55.1% saved)

regimes41.0ms (2.2%)

Accuracy

Total 0.0b remaining (47.4%)

Threshold costs 0.0b (47.4%)

Counts

14 → 1

Compiler

Compiled 305 to 235 computations (23% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end51.0ms (2.7%)

Compiler: Compiled 53 to 35 computations (34% saved)

Details

analyze53.0ms (2.9%)

sample795.0ms (42.5%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series9.0ms (0.5%)

rewrite5.0ms (0.3%)

simplify44.0ms (2.4%)

prune34.0ms (1.8%)

localize6.0ms (0.3%)

series20.0ms (1.1%)

rewrite1.0ms (0.1%)

simplify70.0ms (3.7%)

prune259.0ms (13.9%)

localize6.0ms (0.3%)

series20.0ms (1.1%)

rewrite2.0ms (0.1%)

simplify98.0ms (5.2%)

prune70.0ms (3.7%)

localize5.0ms (0.3%)

series36.0ms (1.9%)

rewrite26.0ms (1.4%)

simplify120.0ms (6.4%)

prune86.0ms (4.6%)

regimes41.0ms (2.2%)

simplify2.0ms (0.1%)

end51.0ms (2.7%)

Profiling