Details

analyze62.0ms (3%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample837.0ms (41%)

Results

805.0ms	8255×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	10	10

prune2.0ms (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 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

11.0ms

(/.f64 (+.f64 x y) (+.f64 y 1))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`distribute-lft-out_binary64`

Counts

1 → 42

Calls

1 calls:

6.0ms

(/.f64 (+.f64 x y) (+.f64 y 1))

simplify77.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-neg_binary64`
615×	`cancel-sign-sub-inv_binary64`
443×	`times-frac_binary64`
384×	`distribute-rgt-in_binary64`
346×	`sub-neg_binary64`

Counts

66 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1149
1	280	1098
2	790	1091
3	2547	1089
4	4174	1089
5	5065	1089

prune52.0ms (2.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Error

Counts

79 → 3

Alt Table

Status	Error	Program
	29.4b	(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
▶	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
	0.1b	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 1237 to 666 computations (46.2% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series51.0ms (2.5%)

Counts

3 → 45

Calls

3 calls:

40.0ms	(/.f64 x (+.f64 1 y))
9.0ms	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
2.0ms	(/.f64 y (+.f64 1 y))

rewrite34.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
31×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64`

Counts

3 → 112

Calls

3 calls:

20.0ms	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
4.0ms	(/.f64 x (+.f64 1 y))
4.0ms	(/.f64 y (+.f64 1 y))

simplify121.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

499×	`sub-neg_binary64`
376×	`fma-def_binary64`
266×	`associate--l+_binary64`
250×	`times-frac_binary64`
232×	`distribute-rgt-out--_binary64`

Counts

157 → 205

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	183	2106
1	450	2054
2	1181	2039
3	3872	2027
4	4825	2025
5	5003	2025

prune129.0ms (6.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	205	3	208

Error

Counts

208 → 3

Alt Table

Status	Error	Program
	29.4b	(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
▶	0.1b	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 3785 to 2439 computations (35.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 y 1))
✓	0.1b	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))

series16.0ms (0.8%)

Counts

2 → 36

Calls

2 calls:

13.0ms	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))
3.0ms	(/.f64 1 (+.f64 y 1))

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

10.0ms	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))
4.0ms	(/.f64 1 (+.f64 y 1))

simplify105.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-neg_binary64`
425×	`sub-neg_binary64`
344×	`fma-def_binary64`
277×	`distribute-rgt-in_binary64`
243×	`distribute-lft-in_binary64`

Counts

123 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1719
1	384	1580
2	1170	1501
3	3683	1501
4	4469	1501
5	4943	1501

prune82.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	144	3	147

Error

Counts

147 → 3

Alt Table

Status	Error	Program
▶	29.4b	(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
✓	0.1b	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 2309 to 1430 computations (38.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 15

Calls

1 calls:

6.0ms

(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))

rewrite24.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`*-un-lft-identity_binary64`
57×	`add-sqr-sqrt_binary64`
52×	`prod-diff_binary64`
50×	`add-cube-cbrt_binary64`
47×	`times-frac_binary64`

Counts

1 → 93

Calls

1 calls:

11.0ms

(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))

simplify130.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-neg_binary64`
681×	`times-frac_binary64`
395×	`fma-def_binary64`
319×	`associate-l_binary64`
254×	`distribute-rgt-in_binary64`

Counts

108 → 96

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1720
1	273	1536
2	777	1216
3	3018	1212
4	4312	1212
5	4885	1212
6	4943	1212

prune75.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	96	3	99

Error

Counts

99 → 3

Alt Table

Status	Error	Program
✓	29.4b	(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 y))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
✓	0.1b	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 2860 to 1864 computations (34.8% saved)

regimes113.0ms (5.6%)

Accuracy

Total 0.0b remaining (21.6%)

Threshold costs 0.0b (21.6%)

Counts

42 → 1

Compiler

Compiled 1311 to 938 computations (28.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	12	16
2	11	16

end52.0ms (2.6%)

Compiler: Compiled 61 to 43 computations (29.5% saved)

Details

analyze62.0ms (3%)

sample837.0ms (41%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series11.0ms (0.6%)

rewrite8.0ms (0.4%)

simplify77.0ms (3.8%)

prune52.0ms (2.6%)

localize5.0ms (0.3%)

series51.0ms (2.5%)

rewrite34.0ms (1.7%)

simplify121.0ms (5.9%)

prune129.0ms (6.3%)

localize5.0ms (0.3%)

series16.0ms (0.8%)

rewrite21.0ms (1%)

simplify105.0ms (5.2%)

prune82.0ms (4%)

localize5.0ms (0.3%)

series6.0ms (0.3%)

rewrite24.0ms (1.2%)

simplify130.0ms (6.4%)

prune75.0ms (3.7%)

regimes113.0ms (5.6%)

simplify3.0ms (0.1%)

end52.0ms (2.6%)

Profiling