Details

analyze58.0ms (2.4%)

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)

sample730.0ms (29.8%)

Results

699.0ms	8251×	body	128	valid
1.0ms	5×	body	1024	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify5.0ms (0.2%)

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

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 (+.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))

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

rewrite10.0ms (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:

8.0ms

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

simplify73.0ms (3%)

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

prune57.0ms (2.3%)

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
	20.4b	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
▶	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
	0.1b	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))

Compiler

Compiled 1253 to 674 computations (46.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

8.0ms	(/.f64 x (+.f64 1 y))
2.0ms	(/.f64 y (+.f64 1 y))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
8×	`associate-/r*_binary64`

Counts

2 → 70

Calls

2 calls:

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

simplify103.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-neg_binary64`
821×	`fma-def_binary64`
419×	`associate-/l/_binary64`
397×	`cancel-sign-sub-inv_binary64`
226×	`associate-/r/_binary64`

Counts

94 → 139

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	1256
1	286	1187
2	698	1179
3	1755	1176
4	4224	1172
5	4964	1172
6	4945	1172

prune91.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Error

Counts

142 → 3

Alt Table

Status	Error	Program
	20.4b	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
▶	0.1b	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))

Compiler

Compiled 2523 to 1613 computations (36.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series19.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(/.f64 (+.f64 y 1) (+.f64 x y))
7.0ms	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64`
146×	`times-frac_binary64`
71×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
42×	`distribute-lft-out_binary64`

Counts

2 → 156

Calls

2 calls:

8.0ms	(/.f64 (+.f64 y 1) (+.f64 x y))
7.0ms	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))

simplify155.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-def_binary64`
538×	`fma-neg_binary64`
483×	`times-frac_binary64`
277×	`associate-/l*_binary64`
262×	`sub-neg_binary64`

Counts

204 → 210

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	4494
1	544	4118
2	1815	3992
3	4441	3986
4	4729	3986
5	4948	3986

prune137.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	210	3	213

Error

Counts

213 → 3

Alt Table

Status	Error	Program
▶	20.4b	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
✓	0.1b	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))

Compiler

Compiled 4185 to 2420 computations (42.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series41.0ms (1.7%)

Counts

2 → 40

Calls

2 calls:

31.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
10.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))

rewrite58.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

227×	`*-un-lft-identity_binary64`
164×	`sqrt-prod_binary64`
133×	`times-frac_binary64`
108×	`add-sqr-sqrt_binary64`
72×	`distribute-lft-out_binary64`

Counts

2 → 178

Calls

2 calls:

23.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
6.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))

simplify159.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

929×	`fma-def_binary64`
430×	`times-frac_binary64`
256×	`cancel-sign-sub-inv_binary64`
221×	`fma-neg_binary64`
202×	`associate-r_binary64`

Counts

218 → 236

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	296	4877
1	692	4649
2	2420	4530
3	4666	4510
4	4953	4510

prune291.0ms (11.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	462	0	462
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	462	3	465

Error

Counts

465 → 3

Alt Table

Status	Error	Program
✓	20.4b	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
✓	0.1b	(/.f64 1 (/.f64 (+.f64 y 1) (+.f64 x y)))

Compiler

Compiled 12317 to 7037 computations (42.9% saved)

regimes278.0ms (11.4%)

Accuracy

Total 0.0b remaining (49.2%)

Threshold costs 0.0b (49.2%)

Counts

94 → 1

Compiler

Compiled 3956 to 2714 computations (31.4% saved)

simplify2.0ms (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

end101.0ms (4.1%)

Compiler: Compiled 69 to 47 computations (31.9% saved)

Details

analyze58.0ms (2.4%)

sample730.0ms (29.8%)

simplify5.0ms (0.2%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite10.0ms (0.4%)

simplify73.0ms (3%)

prune57.0ms (2.3%)

localize5.0ms (0.2%)

series10.0ms (0.4%)

rewrite9.0ms (0.4%)

simplify103.0ms (4.2%)

prune91.0ms (3.7%)

localize7.0ms (0.3%)

series19.0ms (0.8%)

rewrite28.0ms (1.2%)

simplify155.0ms (6.3%)

prune137.0ms (5.6%)

localize6.0ms (0.2%)

series41.0ms (1.7%)

rewrite58.0ms (2.4%)

simplify159.0ms (6.5%)

prune291.0ms (11.9%)

regimes278.0ms (11.4%)

simplify2.0ms (0.1%)

end101.0ms (4.1%)

Profiling