Details

analyze105.0ms (4.2%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	20	10
4	21	10
5	20	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

8.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.8b	(/.f64 (*.f64 x y) (+.f64 y 1))

series19.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

19.0ms

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
4×	`associate-/r*_binary64`
4×	`times-frac_binary64`

Counts

1 → 27

Calls

1 calls:

11.0ms

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

simplify93.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-neg_binary64`
694×	`times-frac_binary64`
647×	`fma-def_binary64`
447×	`associate-/l*_binary64`
224×	`cancel-sign-sub-inv_binary64`

Counts

51 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	672
1	217	596
2	717	591
3	3018	590
4	4493	590
5	5048	590

prune71.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Error

Counts

55 → 4

Alt Table

Status	Error	Program
✓	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
	34.9b	(.f64 x (fma.f64 y (-.f64 (.f64 y y) y) y))
▶	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
	7.4b	(*.f64 (/.f64 x (+.f64 y (/.f64 -1 y))) (-.f64 y 1))

Compiler

Compiled 749 to 420 computations (43.9% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series22.0ms (0.9%)

Counts

1 → 24

Calls

1 calls:

22.0ms

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

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`times-frac_binary64`
74×	`*-un-lft-identity_binary64`
50×	`add-sqr-sqrt_binary64`
50×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

1 → 84

Calls

1 calls:

10.0ms

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

simplify208.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-def_binary64`
407×	`times-frac_binary64`
368×	`fma-neg_binary64`
353×	`associate-/l*_binary64`
352×	`associate-/r/_binary64`

Counts

108 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2090
1	395	2004
2	1188	1991
3	3364	1991
4	4754	1991
5	4927	1991
6	4958	1991

prune122.0ms (4.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	127	3	130

Error

Counts

130 → 3

Alt Table

Status	Error	Program
	34.9b	(.f64 x (fma.f64 y (-.f64 (.f64 y y) y) y))
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
▶	7.4b	(*.f64 (/.f64 x (+.f64 y 1)) y)

Compiler

Compiled 2068 to 1143 computations (44.7% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 y 1))
✓	7.4b	(*.f64 (/.f64 x (+.f64 y 1)) y)

series36.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

19.0ms	(*.f64 (/.f64 x (+.f64 y 1)) y)
17.0ms	(/.f64 x (+.f64 y 1))

rewrite33.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
25×	`times-frac_binary64`
25×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-l_binary64`

Counts

2 → 74

Calls

2 calls:

13.0ms	(*.f64 (/.f64 x (+.f64 y 1)) y)
10.0ms	(/.f64 x (+.f64 y 1))

simplify185.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

643×	`fma-neg_binary64`
328×	`times-frac_binary64`
306×	`associate-l_binary64`
274×	`associate-/l*_binary64`
256×	`associate-r_binary64`

Counts

122 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1563
1	339	1452
2	1001	1444
3	3204	1440
4	4706	1440
5	4956	1440
6	5151	1440

prune122.0ms (4.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Error

Counts

130 → 3

Alt Table

Status	Error	Program
▶	34.9b	(.f64 x (fma.f64 y (-.f64 (.f64 y y) y) y))
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
✓	7.4b	(*.f64 (/.f64 x (+.f64 y 1)) y)

Compiler

Compiled 1828 to 1057 computations (42.2% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y y) y)
✓	0.1b	(fma.f64 y (-.f64 (*.f64 y y) y) y)
✓	2.4b	(.f64 x (fma.f64 y (-.f64 (.f64 y y) y) y))

series42.0ms (1.7%)

Counts

3 → 48

Calls

3 calls:

31.0ms	(.f64 x (fma.f64 y (-.f64 (.f64 y y) y) y))
6.0ms	(fma.f64 y (-.f64 (*.f64 y y) y) y)
4.0ms	(-.f64 (*.f64 y y) y)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
5×	`add-log-exp_binary64`

Counts

3 → 54

Calls

3 calls:

6.0ms	(-.f64 (*.f64 y y) y)
6.0ms	(.f64 x (fma.f64 y (-.f64 (.f64 y y) y) y))
1.0ms	(fma.f64 y (-.f64 (*.f64 y y) y) y)

simplify157.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1079×	`fma-neg_binary64`
547×	`fma-def_binary64`
408×	`exp-prod_binary64`
298×	`unswap-sqr_binary64`
244×	`times-frac_binary64`

Counts

102 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1367
1	219	1202
2	788	1193
3	2776	1193
4	3948	1193
5	4971	1193

prune89.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Error

Counts

109 → 3

Alt Table

Status	Error	Program
✓	34.9b	(.f64 x (fma.f64 y (-.f64 (.f64 y y) y) y))
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
✓	7.4b	(*.f64 (/.f64 x (+.f64 y 1)) y)

Compiler

Compiled 1624 to 591 computations (63.6% saved)

regimes149.0ms (6%)

Accuracy

Total 0.0b remaining (65.3%)

Threshold costs 0.0b (65.3%)

Counts

26 → 1

Compiler

Compiled 862 to 565 computations (34.5% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample908.0ms (36.5%)

Algorithm

1×

intervals

Results

467.0ms

8000×

body

128

valid

Compiler

Compiled 51 to 33 computations (35.3% saved)

Details

analyze105.0ms (4.2%)

sample17.0ms (0.7%)

simplify8.0ms (0.3%)

prune2.0ms (0.1%)

localize10.0ms (0.4%)

series19.0ms (0.8%)

rewrite13.0ms (0.5%)

simplify93.0ms (3.7%)

prune71.0ms (2.8%)

localize8.0ms (0.3%)

series22.0ms (0.9%)

rewrite24.0ms (1%)

simplify208.0ms (8.4%)

prune122.0ms (4.9%)

localize11.0ms (0.4%)

series36.0ms (1.4%)

rewrite33.0ms (1.3%)

simplify185.0ms (7.5%)

prune122.0ms (4.9%)

localize12.0ms (0.5%)

series42.0ms (1.7%)

rewrite16.0ms (0.6%)

simplify157.0ms (6.3%)

prune89.0ms (3.6%)

regimes149.0ms (6%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample908.0ms (36.5%)

Profiling