Details

analyze5.0ms (0.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample614.0ms (67%)

Results

603.0ms

8256×

body

128

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess17.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	27	7
5	37	7
6	50	7
7	68	7
8	80	7
9	83	7
10	84	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	27	7
5	37	7
6	50	7
7	68	7
8	80	7
9	83	7
10	84	7

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0.2%)

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 x (-.f64 1 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(/.f64 x (-.f64 1 x))	x	0
1.0ms	(/.f64 x (-.f64 1 x))	x	-inf
1.0ms	(/.f64 x (-.f64 1 x))	x	inf

rewrite33.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
257×	`log-prod_binary64`
150×	`prod-diff_binary64`
96×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1468	7

Stop Event

1×	node limit

Counts

1 → 39

simplify33.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-neg_binary64`
517×	`associate-l_binary64`
362×	`associate-r_binary64`
335×	`fma-def_binary64`
180×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	150
1	72	132
2	208	125
3	605	125
4	1753	125
5	4763	125

Stop Event

1×	node limit

Counts

51 → 53

prune26.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

Alt Table

Status	Error	Program
▶	0.1b	(pow.f64 (/.f64 (-.f64 1 x) x) -1)
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 559 to 393 computations (29.7% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 (-.f64 1 x) x) -1)

series2.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(pow.f64 (/.f64 (-.f64 1 x) x) -1)	x	0
1.0ms	(pow.f64 (/.f64 (-.f64 1 x) x) -1)	x	-inf
1.0ms	(pow.f64 (/.f64 (-.f64 1 x) x) -1)	x	inf

rewrite40.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log1p-expm1-u_binary64`
738×	`expm1-log1p-u_binary64`
194×	`prod-diff_binary64`
73×	`add-sqr-sqrt_binary64`
69×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	7
2	1987	7

Stop Event

1×	node limit

Counts

1 → 45

simplify33.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-neg_binary64`
517×	`associate-l_binary64`
362×	`associate-r_binary64`
335×	`fma-def_binary64`
180×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	150
1	72	132
2	208	125
3	605	125
4	1753	125
5	4763	125

Stop Event

1×	node limit

Counts

57 → 59

prune25.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

61 → 2

Alt Table

Status	Error	Program
✓	0.1b	(pow.f64 (/.f64 (-.f64 1 x) x) -1)
✓	0.0b	(/.f64 x (-.f64 1 x))

Compiler

Compiled 619 to 443 computations (28.4% saved)

regimes23.0ms (2.5%)

Accuracy

Total 0.0b remaining (33.3%)

Threshold costs 0.0b (33.3%)

Counts

9 → 1

Compiler

Compiled 168 to 118 computations (29.8% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	15	7
4	16	7

Stop Event

1×

saturated

end43.0ms (4.7%)

Stop Event

1×

done

Compiler

Compiled 26 to 18 computations (30.8% saved)

Details

analyze5.0ms (0.6%)

sample614.0ms (67%)

preprocess17.0ms (1.9%)

simplify7.0ms (0.8%)

prune1.0ms (0.2%)

localize5.0ms (0.5%)

series2.0ms (0.2%)

rewrite33.0ms (3.6%)

simplify33.0ms (3.6%)

prune26.0ms (2.8%)

localize4.0ms (0.4%)

series2.0ms (0.2%)

rewrite40.0ms (4.4%)

simplify33.0ms (3.6%)

prune25.0ms (2.8%)

regimes23.0ms (2.5%)

simplify2.0ms (0.2%)

end43.0ms (4.7%)

Profiling