Details

analyze62.0ms (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)

sample780.0ms (30.4%)

Results

752.0ms	8254×	body	128	valid
0.0ms	2×	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))

simplify81.0ms (3.2%)

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 (2.2%)

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
▶	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
	18.1b	(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) (/.f64 (+.f64 x y) (+.f64 y 1))) (/.f64 (+.f64 x y) (+.f64 y 1))))
	0.1b	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 1267 to 680 computations (46.3% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series19.0ms (0.8%)

Counts

3 → 45

Calls

3 calls:

9.0ms	(/.f64 x (+.f64 1 y))
8.0ms	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
2.0ms	(/.f64 y (+.f64 1 y))

rewrite31.0ms (1.2%)

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:

18.0ms	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
3.0ms	(/.f64 y (+.f64 1 y))
3.0ms	(/.f64 x (+.f64 1 y))

simplify111.0ms (4.3%)

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 → 204

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

prune151.0ms (5.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	204	3	207

Error

Counts

207 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
	18.1b	(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) (/.f64 (+.f64 x y) (+.f64 y 1))) (/.f64 (+.f64 x y) (+.f64 y 1))))
▶	0.1b	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))

Compiler

Compiled 3808 to 2449 computations (35.7% saved)

localize5.0ms (0.2%)

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)))

series9.0ms (0.3%)

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))
2.0ms	(/.f64 1 (+.f64 y 1))

rewrite19.0ms (0.7%)

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:

11.0ms	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))
4.0ms	(/.f64 1 (+.f64 y 1))

simplify95.0ms (3.7%)

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

prune107.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	145	2	147

Error

Counts

147 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
▶	15.1b	(.f64 (.f64 (+.f64 x y) (/.f64 1 (-.f64 (.f64 y y) (.f64 1 1)))) (-.f64 y 1))

Compiler

Compiled 2314 to 1434 computations (38% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (+.f64 x y) (/.f64 1 (-.f64 (.f64 y y) (.f64 1 1)))) (-.f64 y 1))
✓	0.7b	(/.f64 1 (-.f64 (.f64 y y) (.f64 1 1)))
✓	13.6b	(.f64 (+.f64 x y) (/.f64 1 (-.f64 (.f64 y y) (*.f64 1 1))))

series49.0ms (1.9%)

Counts

3 → 60

Calls

3 calls:

24.0ms	(.f64 (.f64 (+.f64 x y) (/.f64 1 (-.f64 (.f64 y y) (.f64 1 1)))) (-.f64 y 1))
22.0ms	(.f64 (+.f64 x y) (/.f64 1 (-.f64 (.f64 y y) (*.f64 1 1))))
2.0ms	(/.f64 1 (-.f64 (.f64 y y) (.f64 1 1)))

rewrite45.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
36×	`add-cube-cbrt_binary64`
31×	`add-exp-log_binary64`
26×	`times-frac_binary64`

Counts

3 → 161

Calls

3 calls:

14.0ms	(.f64 (+.f64 x y) (/.f64 1 (-.f64 (.f64 y y) (*.f64 1 1))))
13.0ms	(.f64 (.f64 (+.f64 x y) (/.f64 1 (-.f64 (.f64 y y) (.f64 1 1)))) (-.f64 y 1))
4.0ms	(/.f64 1 (-.f64 (.f64 y y) (.f64 1 1)))

simplify132.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-/r*_binary64`
479×	`fma-neg_binary64`
443×	`associate-/l*_binary64`
285×	`associate-l_binary64`
231×	`associate-r_binary64`

Counts

221 → 293

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	4326
1	704	3812
2	2551	3511
3	4970	3511
4	5231	3511

prune203.0ms (7.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	293	0	293
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	293	2	295

Error

Counts

295 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))
✓	15.1b	(.f64 (.f64 (+.f64 x y) (/.f64 1 (-.f64 (.f64 y y) (.f64 1 1)))) (-.f64 y 1))

Compiler

Compiled 7447 to 4578 computations (38.5% saved)

regimes523.0ms (20.4%)

Accuracy

Total 0.0b remaining (70.6%)

Threshold costs 0.0b (70.6%)

Counts

158 → 1

Compiler

Compiled 7251 to 5111 computations (29.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`+-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	13	10
2	12	10

end44.0ms (1.7%)

Compiler: Compiled 50 to 35 computations (30% saved)

Details

analyze62.0ms (2.4%)

sample780.0ms (30.4%)

simplify5.0ms (0.2%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite10.0ms (0.4%)

simplify81.0ms (3.2%)

prune57.0ms (2.2%)

localize5.0ms (0.2%)

series19.0ms (0.8%)

rewrite31.0ms (1.2%)

simplify111.0ms (4.3%)

prune151.0ms (5.9%)

localize5.0ms (0.2%)

series9.0ms (0.3%)

rewrite19.0ms (0.7%)

simplify95.0ms (3.7%)

prune107.0ms (4.2%)

localize9.0ms (0.4%)

series49.0ms (1.9%)

rewrite45.0ms (1.8%)

simplify132.0ms (5.1%)

prune203.0ms (7.9%)

regimes523.0ms (20.4%)

simplify2.0ms (0.1%)

end44.0ms (1.7%)

Profiling