Details

analyze58.0ms (1.9%)

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
18.7%	81.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	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)

sample1.3s (41.9%)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	15	10
3	18	10
4	19	10
5	19	10

prune3.0ms (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

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))

series20.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

20.0ms

(/.f64 (*.f64 x 100) (+.f64 x y))

rewrite84.0ms (2.7%)

Algorithm

2×	batch-egg-rewrite

Rules

875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
473×	`prod-diff_binary64`
79×	`add-sqr-sqrt_binary64`
76×	`add-log-exp_binary64`

Counts

1 → 45

Calls

1 calls:

82.0ms

(/.f64 (*.f64 x 100) (+.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	159	10
2	2180	10
3	6212	10
0	0	0
1	0	0

simplify103.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-def_binary64`
633×	`cancel-sign-sub-inv_binary64`
482×	`fma-neg_binary64`
238×	`neg-mul-1_binary64`
231×	`neg-sub0_binary64`

Counts

69 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	525
1	124	507
2	396	450
3	1699	399
4	4500	399
5	4989	399
6	4967	399

prune70.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Error

Counts

60 → 7

Alt Table

Status	Error	Program
	0.3b	(pow.f64 (/.f64 (+.f64 x y) (*.f64 x 100)) -1)
✓	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))
	33.8b	(*.f64 100 (/.f64 x y))
▶	0.2b	(.f64 100 (.f64 x (/.f64 1 (+.f64 x y))))
	0.3b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
	0.3b	(*.f64 x (/.f64 1 (/.f64 (+.f64 x y) 100)))
	30.0b	(fma.f64 (/.f64 y x) -100 100)

Compiler

Compiled 909 to 526 computations (42.1% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x y))
✓	0.1b	(.f64 100 (.f64 x (/.f64 1 (+.f64 x y))))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))

series51.0ms (1.7%)

Counts

3 → 72

Calls

3 calls:

22.0ms	(.f64 100 (.f64 x (/.f64 1 (+.f64 x y))))
15.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))
14.0ms	(/.f64 1 (+.f64 x y))

rewrite107.0ms (3.5%)

Algorithm

2×	batch-egg-rewrite

Rules

914×	`log1p-expm1-u_binary64`
914×	`expm1-log1p-u_binary64`
484×	`prod-diff_binary64`
93×	`add-sqr-sqrt_binary64`
88×	`add-cbrt-cube_binary64`

Counts

3 → 67

Calls

3 calls:

105.0ms	(/.f64 1 (+.f64 x y))
105.0ms	(.f64 100 (.f64 x (/.f64 1 (+.f64 x y))))
105.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	195	24
2	2341	24
3	6476	24
0	0	0
1	0	0

simplify109.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-neg_binary64`
381×	`associate-/l/_binary64`
250×	`distribute-neg-frac_binary64`
237×	`sub-neg_binary64`
235×	`distribute-rgt-neg-in_binary64`

Counts

139 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1437
1	198	1419
2	605	1269
3	2376	1200
4	5073	1200

prune141.0ms (4.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	109	7	116

Error

Counts

116 → 7

Alt Table

Status	Error	Program
	0.3b	(pow.f64 (/.f64 (+.f64 x y) (*.f64 x 100)) -1)
✓	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))
	33.8b	(*.f64 100 (/.f64 x y))
✓	0.2b	(.f64 100 (.f64 x (/.f64 1 (+.f64 x y))))
▶	0.3b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
	0.3b	(*.f64 x (/.f64 1 (/.f64 (+.f64 x y) 100)))
	30.0b	(fma.f64 (/.f64 y x) -100 100)

Compiler

Compiled 1556 to 908 computations (41.6% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 x y))
✓	0.1b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
✓	0.2b	(*.f64 100 (/.f64 1 (+.f64 x y)))

series38.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

19.0ms	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
18.0ms	(*.f64 100 (/.f64 1 (+.f64 x y)))

rewrite103.0ms (3.4%)

Algorithm

2×	batch-egg-rewrite

Rules

896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
464×	`prod-diff_binary64`
92×	`add-sqr-sqrt_binary64`
87×	`add-cbrt-cube_binary64`

Counts

2 → 36

Calls

2 calls:

102.0ms	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
102.0ms	(*.f64 100 (/.f64 1 (+.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	194	17
2	2309	17
3	6331	17
0	0	0
1	0	0

simplify91.0ms (3%)

Algorithm

1×	egg-herbie

Rules

939×	`fma-neg_binary64`
326×	`distribute-rgt-neg-in_binary64`
317×	`distribute-lft-neg-in_binary64`
294×	`times-frac_binary64`
291×	`distribute-neg-frac_binary64`

Counts

84 → 64

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1077
1	217	1035
2	696	948
3	2744	939
4	5006	939

prune115.0ms (3.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	103	7	110

Error

Counts

110 → 7

Alt Table

Status	Error	Program
	0.3b	(pow.f64 (/.f64 (+.f64 x y) (*.f64 x 100)) -1)
✓	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))
	33.8b	(*.f64 100 (/.f64 x y))
✓	0.2b	(.f64 100 (.f64 x (/.f64 1 (+.f64 x y))))
✓	0.3b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
▶	0.3b	(*.f64 x (/.f64 1 (/.f64 (+.f64 x y) 100)))
	30.0b	(fma.f64 (/.f64 y x) -100 100)

Compiler

Compiled 1560 to 948 computations (39.2% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 100)
✓	0.1b	(*.f64 x (/.f64 1 (/.f64 (+.f64 x y) 100)))
✓	0.3b	(/.f64 1 (/.f64 (+.f64 x y) 100))

series59.0ms (1.9%)

Counts

3 → 72

Calls

3 calls:

29.0ms	(/.f64 1 (/.f64 (+.f64 x y) 100))
23.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 x y) 100)))
6.0ms	(/.f64 (+.f64 x y) 100)

rewrite88.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

493×	`prod-diff_binary64`
456×	`log-prod_binary64`
178×	`fma-def_binary64`
168×	`expm1-udef_binary64`
168×	`log1p-udef_binary64`

Counts

3 → 89

Calls

3 calls:

85.0ms	(/.f64 (+.f64 x y) 100)
85.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 x y) 100)))
85.0ms	(/.f64 1 (/.f64 (+.f64 x y) 100))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	203	24
2	2493	24
3	5155	24
0	0	0
1	0	0

simplify104.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

939×	`fma-neg_binary64`
326×	`distribute-rgt-neg-in_binary64`
317×	`distribute-lft-neg-in_binary64`
294×	`times-frac_binary64`
291×	`distribute-neg-frac_binary64`

Counts

161 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	1227
1	227	1185
2	711	1098
3	2769	1089
4	5031	1089

prune134.0ms (4.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	2	1	3
Picked	1	0	1
Done	1	2	3
Total	125	5	130

Error

Counts

130 → 5

Alt Table

Status	Error	Program
	0.2b	(/.f64 (/.f64 x (+.f64 x y)) 1/100)
	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))
	0.3b	(pow.f64 (/.f64 (+.f64 x y) (*.f64 x 100)) -1)
✓	0.2b	(.f64 100 (.f64 x (/.f64 1 (+.f64 x y))))
✓	0.3b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))

Compiler

Compiled 1710 to 1035 computations (39.5% saved)

regimes120.0ms (3.9%)

Accuracy

Total 0.2b remaining (95.6%)

Threshold costs 0.2b (95.6%)

Counts

21 → 1

Compiler

Compiled 611 to 448 computations (26.7% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	17	12
2	25	12
3	31	12
4	33	12
5	33	12

end123.0ms (4%)

Compiler: Compiled 71 to 50 computations (29.6% saved)

Details

analyze58.0ms (1.9%)

sample1.3s (41.9%)

simplify12.0ms (0.4%)

prune3.0ms (0.1%)

localize12.0ms (0.4%)

series20.0ms (0.6%)

rewrite84.0ms (2.7%)

simplify103.0ms (3.4%)

prune70.0ms (2.3%)

localize10.0ms (0.3%)

series51.0ms (1.7%)

rewrite107.0ms (3.5%)

simplify109.0ms (3.5%)

prune141.0ms (4.6%)

localize13.0ms (0.4%)

series38.0ms (1.2%)

rewrite103.0ms (3.4%)

simplify91.0ms (3%)

prune115.0ms (3.7%)

localize10.0ms (0.3%)

series59.0ms (1.9%)

rewrite88.0ms (2.9%)

simplify104.0ms (3.4%)

prune134.0ms (4.4%)

regimes120.0ms (3.9%)

simplify5.0ms (0.2%)

end123.0ms (4%)

Profiling