Details

analyze77.0ms (5%)

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)

sample680.0ms (44.6%)

Results

648.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.4%)

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 (0.1%)

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)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

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 x y))

simplify62.0ms (4.1%)

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 (1.8%)

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

Compiler

Compiled 647 to 242 computations (62.6% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series31.0ms (2.1%)

Counts

2 → 48

Calls

2 calls:

24.0ms	(expm1.f64 (/.f64 x (+.f64 x y)))
7.0ms	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))

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

simplify73.0ms (4.8%)

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 → 57

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

prune57.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	4	109

Error

Counts

109 → 4

Alt Table

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

Compiler

Compiled 1510 to 631 computations (58.2% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series22.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(log1p.f64 (/.f64 x (+.f64 x y)))
10.0ms	(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))

rewrite1.0ms (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:

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

simplify67.0ms (4.4%)

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

prune53.0ms (3.5%)

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

Compiler

Compiled 1481 to 629 computations (57.5% saved)

localize7.0ms (0.5%)

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))

series26.0ms (1.7%)

Counts

2 → 48

Calls

2 calls:

13.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
12.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite22.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
42×	`cbrt-prod_binary64`
36×	`cube-prod_binary64`
36×	`add-sqr-sqrt_binary64`

Counts

2 → 112

Calls

2 calls:

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

simplify77.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

730×	`associate-/l*_binary64`
337×	`unswap-sqr_binary64`
281×	`fma-def_binary64`
276×	`associate-/r/_binary64`
265×	`associate-/l/_binary64`

Counts

160 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3000
1	520	2807
2	1609	2655
3	5271	2655

prune107.0ms (7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	183	4	187

Error

Counts

187 → 4

Alt Table

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

Compiler

Compiled 2916 to 1310 computations (55.1% saved)

regimes43.0ms (2.8%)

Accuracy

Total 0.0b remaining (47.4%)

Threshold costs 0.0b (47.4%)

Counts

15 → 1

Compiler

Compiled 323 to 253 computations (21.7% 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

end54.0ms (3.6%)

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

Details

analyze77.0ms (5%)

sample680.0ms (44.6%)

simplify6.0ms (0.4%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series7.0ms (0.5%)

rewrite5.0ms (0.3%)

simplify62.0ms (4.1%)

prune28.0ms (1.8%)

localize6.0ms (0.4%)

series31.0ms (2.1%)

rewrite1.0ms (0.1%)

simplify73.0ms (4.8%)

prune57.0ms (3.8%)

localize5.0ms (0.4%)

series22.0ms (1.4%)

rewrite1.0ms (0.1%)

simplify67.0ms (4.4%)

prune53.0ms (3.5%)

localize7.0ms (0.5%)

series26.0ms (1.7%)

rewrite22.0ms (1.4%)

simplify77.0ms (5.1%)

prune107.0ms (7%)

regimes43.0ms (2.8%)

simplify2.0ms (0.1%)

end54.0ms (3.6%)

Profiling