Details

analyze520.0ms (13.5%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 24 to 18 computations (25% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def_binary64`
33×	`distribute-rgt-in_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	45	10
3	88	10
4	170	10
5	254	10
6	256	10
7	258	10
8	252	10

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

Compiler

Compiled 30 to 21 computations (30% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`flip-+_binary64`
6×	`flip3-+_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`

Counts

1 → 32

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

759×	`distribute-rgt-in_binary64`
724×	`distribute-lft-in_binary64`
449×	`fma-def_binary64`
414×	`fma-neg_binary64`
258×	`unsub-neg_binary64`

Counts

68 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	908
1	269	804
2	911	798
3	3385	798
4	4092	798
5	5126	798

prune37.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Error

Counts

62 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
	0.5b	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))) (cbrt.f64 (+.f64 z 1)))

Compiler

Compiled 974 to 498 computations (48.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series15.0ms (0.4%)

Counts

2 → 60

Calls

2 calls:

8.0ms	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
8.0ms	(*.f64 z (+.f64 y x))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
7×	`add-log-exp_binary64`
6×	`flip-+_binary64`
6×	`associate-*r/_binary64`
6×	`flip3-+_binary64`

Counts

2 → 50

Calls

2 calls:

7.0ms	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
4.0ms	(*.f64 z (+.f64 y x))

simplify82.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-def_binary64`
585×	`fma-neg_binary64`
343×	`associate-+l+_binary64`
336×	`*-commutative_binary64`
320×	`associate-+r+_binary64`

Counts

110 → 86

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	1296
1	330	1175
2	1302	1150
3	3484	1150
4	4718	1148
5	4793	1148

prune46.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Error

Counts

89 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
▶	0.5b	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))) (cbrt.f64 (+.f64 z 1)))

Compiler

Compiled 1428 to 398 computations (72.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 x y) (.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1))))
✓	0.2b	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))) (cbrt.f64 (+.f64 z 1)))
✓	0.2b	(cbrt.f64 (+.f64 z 1))
✓	0.2b	(*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))

series191.0ms (5%)

Counts

4 → 96

Calls

4 calls:

173.0ms	(.f64 (+.f64 x y) (.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1))))
7.0ms	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))) (cbrt.f64 (+.f64 z 1)))
5.0ms	(*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))
4.0ms	(cbrt.f64 (+.f64 z 1))

rewrite84.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

212×	`cbrt-div_binary64`
168×	`frac-times_binary64`
142×	`flip-+_binary64`
142×	`flip3-+_binary64`
60×	`associate-*r/_binary64`

Counts

4 → 226

Calls

4 calls:

19.0ms	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))) (cbrt.f64 (+.f64 z 1)))
11.0ms	(.f64 (+.f64 x y) (.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1))))
8.0ms	(*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))
2.0ms	(cbrt.f64 (+.f64 z 1))

simplify249.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

673×	`associate-l_binary64`
527×	`associate-r_binary64`
405×	`cancel-sign-sub-inv_binary64`
357×	`times-frac_binary64`
304×	`*-commutative_binary64`

Counts

322 → 405

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	420	9289
1	1055	8758
2	3366	8252
3	4462	8187
4	5148	8187

prune709.0ms (18.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	501	0	501
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	501	3	504

Error

Counts

504 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	0.5b	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (+.f64 z 1)) (cbrt.f64 (+.f64 z 1)))) (cbrt.f64 (+.f64 z 1)))

Compiler

Compiled 16265 to 10803 computations (33.6% saved)

regimes296.0ms (7.7%)

Accuracy

Total 0.0b remaining (52.9%)

Threshold costs 0.0b (52.9%)

Counts

26 → 1

Compiler

Compiled 2193 to 1524 computations (30.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
2	9	11

end14.0ms (0.4%)

Compiler: Compiled 33 to 18 computations (45.5% saved)

sample1.4s (37.5%)

Algorithm

1×

intervals

Results

450.0ms	7999×	body	128	valid
29.0ms	559×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 68 to 46 computations (32.4% saved)

Details

analyze520.0ms (13.5%)

sample25.0ms (0.6%)

simplify10.0ms (0.3%)

prune2.0ms (0%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite8.0ms (0.2%)

simplify71.0ms (1.9%)

prune37.0ms (1%)

localize5.0ms (0.1%)

series15.0ms (0.4%)

rewrite13.0ms (0.3%)

simplify82.0ms (2.1%)

prune46.0ms (1.2%)

localize8.0ms (0.2%)

series191.0ms (5%)

rewrite84.0ms (2.2%)

simplify249.0ms (6.5%)

prune709.0ms (18.4%)

regimes296.0ms (7.7%)

simplify6.0ms (0.1%)

end14.0ms (0.4%)

sample1.4s (37.5%)

Profiling