Details

analyze80.0ms (7.1%)

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
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample754.0ms (66.8%)

Results

736.0ms	8256×	body	128	valid
6.0ms	77×	body	128	invalid

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess27.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

215×	`fma-def_binary64`
140×	`fma-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
26×	`distribute-rgt-in_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	15	14
2	25	14
3	46	14
4	73	14
5	114	14
6	251	14
7	488	14
8	728	14
9	771	14
10	775	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify11.0ms (1%)

Algorithm

1×	egg-herbie

Rules

123×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
16×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	15	7
3	26	7
4	44	7
5	72	7
6	155	7
7	298	7
8	442	7
9	476	7
10	478	7

Stop Event

1×

saturated

Counts

1 → 1

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) x)

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(-.f64 (*.f64 x y) x)	x	inf
1.0ms	(-.f64 (*.f64 x y) x)	x	-inf
1.0ms	(-.f64 (*.f64 x y) x)	x	0
1.0ms	(-.f64 (*.f64 x y) x)	y	-inf
1.0ms	(-.f64 (*.f64 x y) x)	y	inf

rewrite41.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`prod-diff_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
106×	`log1p-udef_binary64`
92×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1548	7

Stop Event

1×	node limit

Counts

1 → 92

simplify25.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

74×	`fma-def_binary64`
56×	`fma-neg_binary64`
18×	`distribute-rgt-in_binary64`
15×	`associate-r_binary64`
13×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	158
1	30	158
2	56	158
3	110	158
4	219	158
5	334	158
6	392	158
7	396	158

Stop Event

1×

saturated

Counts

116 → 99

prune41.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	2	100

Error

Counts

100 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x y) x)
▶	0.0b	(*.f64 (-.f64 y 1) x)

Compiler

Compiled 1442 to 476 computations (67% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.4%)

Counts

1 → 12

Calls

6 calls:

1.0ms	(*.f64 (-.f64 y 1) x)	x	-inf
1.0ms	(*.f64 (-.f64 y 1) x)	y	-inf
1.0ms	(*.f64 (-.f64 y 1) x)	x	inf
1.0ms	(*.f64 (-.f64 y 1) x)	y	inf
1.0ms	(*.f64 (-.f64 y 1) x)	x	0

rewrite32.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
267×	`log-prod_binary64`
150×	`pow2_binary64`
105×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1535	7

Stop Event

1×	node limit

Counts

1 → 28

simplify16.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

123×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
16×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	28	74
4	43	74
5	71	74
6	154	74
7	297	74
8	441	74
9	475	74
10	477	74

Stop Event

1×

saturated

Counts

40 → 34

prune22.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	2	36

Error

Counts

36 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x y) x)
✓	0.0b	(*.f64 (-.f64 y 1) x)

Compiler

Compiled 299 to 202 computations (32.4% saved)

regimes23.0ms (2.1%)

Accuracy

Total 0.0b remaining (95.4%)

Threshold costs 0.0b (95.4%)

Counts

6 → 1

Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	13	7

Stop Event

1×

saturated

end38.0ms (3.4%)

Stop Event

1×

done

Compiler

Compiled 28 to 19 computations (32.1% saved)

Iter	Nodes	Cost
0	7	14
1	15	14
2	25	14
3	46	14
4	73	14
5	114	14
6	251	14
7	488	14
8	728	14
9	771	14
10	775	14
0	2	2

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	28	74
4	43	74
5	71	74
6	154	74
7	297	74
8	441	74
9	475	74
10	477	74

Iter	Nodes	Cost
0	7	14
1	15	14
2	25	14
3	46	14
4	73	14
5	114	14
6	251	14
7	488	14
8	728	14
9	771	14
10	775	14
0	2	2

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	28	74
4	43	74
5	71	74
6	154	74
7	297	74
8	441	74
9	475	74
10	477	74

Details

analyze80.0ms (7.1%)

sample754.0ms (66.8%)

preprocess27.0ms (2.4%)

simplify11.0ms (1%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series5.0ms (0.4%)

rewrite41.0ms (3.6%)

simplify25.0ms (2.2%)

prune41.0ms (3.6%)

localize3.0ms (0.3%)

series4.0ms (0.4%)

rewrite32.0ms (2.8%)

simplify16.0ms (1.4%)

prune22.0ms (2%)

regimes23.0ms (2.1%)

simplify2.0ms (0.2%)

end38.0ms (3.4%)

Profiling

Iter	Nodes	Cost
0	7	14
1	15	14
2	25	14
3	46	14
4	73	14
5	114	14
6	251	14
7	488	14
8	728	14
9	771	14
10	775	14
0	2	2

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	28	74
4	43	74
5	71	74
6	154	74
7	297	74
8	441	74
9	475	74
10	477	74