Details

analyze960.0ms (30.9%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
3.1%	96.8%	0.1%	8
4.7%	95.2%	0.1%	9
7%	92.9%	0.1%	10
8.2%	91.7%	0.1%	11
9.6%	90.3%	0.1%	12
10.2%	89.7%	0.1%	13
10.2%	89.7%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.3s (41%)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 15 to 9 computations (40% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

10.0ms

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

rewrite5.0ms (0.2%)

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:

4.0ms

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

simplify68.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-neg_binary64`
598×	`fma-def_binary64`
529×	`associate-/r*_binary64`
408×	`associate-/l/_binary64`
314×	`associate-/r/_binary64`

Counts

59 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	478	833
3	1565	791
4	4962	791
5	5351	791

prune28.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Error

Counts

49 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
▶	0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))
	0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))
	16.1b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

Compiler

Compiled 647 to 242 computations (62.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x y))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))

series21.0ms (0.7%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(/.f64 1 (+.f64 x y))
10.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`

Counts

2 → 82

Calls

2 calls:

17.0ms	(/.f64 1 (+.f64 x y))
8.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))

simplify126.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

659×	`cancel-sign-sub-inv_binary64`
509×	`div-sub_binary64`
448×	`fma-neg_binary64`
275×	`sub-neg_binary64`
248×	`times-frac_binary64`

Counts

130 → 125

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	117	1797
1	268	1704
2	763	1617
3	2440	1593
4	4258	1593
5	4870	1569
6	5556	1569

prune63.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Error

Counts

129 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
▶	0.0b	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))
	0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

Compiler

Compiled 1778 to 843 computations (52.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series31.0ms (1%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(log1p.f64 (/.f64 x (+.f64 x y)))
12.0ms	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))

rewrite1.0ms (0%)

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:

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

simplify69.0ms (2.2%)

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 → 56

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

prune56.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Error

Counts

108 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))
▶	0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

Compiler

Compiled 1479 to 627 computations (57.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) x)
✓	0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

series16.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
5.0ms	(/.f64 (+.f64 x y) x)

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
60×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

2 → 125

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
4.0ms	(/.f64 (+.f64 x y) x)

simplify116.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

429×	`cancel-sign-sub-inv_binary64`
347×	`div-sub_binary64`
318×	`fma-neg_binary64`
292×	`times-frac_binary64`
262×	`distribute-rgt-in_binary64`

Counts

173 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	2656
1	276	2369
2	775	2282
3	2546	2259
4	4444	2259
5	5076	2259

prune77.0ms (2.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	158	4	162

Error

Counts

162 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))
✓	0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

Compiler

Compiled 2454 to 893 computations (63.6% saved)

regimes44.0ms (1.4%)

Accuracy

Total 0.0b remaining (61.2%)

Threshold costs 0.0b (61.2%)

Counts

13 → 1

Compiler

Compiled 395 to 247 computations (37.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end59.0ms (1.9%)

Compiler: Compiled 48 to 30 computations (37.5% saved)

Details

analyze960.0ms (30.9%)

sample1.3s (41%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series10.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify68.0ms (2.2%)

prune28.0ms (0.9%)

localize4.0ms (0.1%)

series21.0ms (0.7%)

rewrite29.0ms (0.9%)

simplify126.0ms (4.1%)

prune63.0ms (2%)

localize6.0ms (0.2%)

series31.0ms (1%)

rewrite1.0ms (0%)

simplify69.0ms (2.2%)

prune56.0ms (1.8%)

localize4.0ms (0.1%)

series16.0ms (0.5%)

rewrite20.0ms (0.6%)

simplify116.0ms (3.7%)

prune77.0ms (2.5%)

regimes44.0ms (1.4%)

simplify2.0ms (0.1%)

end59.0ms (1.9%)

Profiling