Details

analyze448.0ms (25.4%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	63.2%	2.5%	9
40.6%	52.7%	6.8%	10
48.4%	42.1%	9.5%	11
56.2%	32.5%	11.4%	12
59.1%	26.9%	14%	13
63.9%	21%	15.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample876.0ms (49.7%)

Results

783.0ms	8256×	body	128	valid
58.0ms	635×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-def_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
7×	`+-commutative_binary64`
6×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	8
2	26	8
3	39	8
4	48	8
5	55	8
6	53	8
7	71	8
8	75	8
9	88	8
10	94	8
11	99	8
12	100	8
13	98	8

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 y (+.f64 x z) x)

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(fma.f64 y (+.f64 x z) x)

rewrite38.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
519×	`prod-diff_binary64`
68×	`add-sqr-sqrt_binary64`
63×	`add-log-exp_binary64`

Counts

1 → 24

Calls

1 calls:

38.0ms

(fma.f64 y (+.f64 x z) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	8
2	1676	8
3	5071	8

simplify18.0ms (1%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-def_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
6×	`*-commutative_binary64`
5×	`+-commutative_binary64`

Counts

60 → 32

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	285
1	31	285
2	47	258
3	51	258
4	70	258
5	74	258
6	88	258
7	94	258
8	99	258
9	100	258
10	98	258

prune17.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

0.0b

Counts

33 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 y (+.f64 x z) x)
▶	0.0b	(+.f64 (.f64 y x) (+.f64 (.f64 y z) x))

Compiler

Compiled 341 to 101 computations (70.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series18.0ms (1%)

Counts

2 → 18

Calls

2 calls:

13.0ms	(+.f64 (.f64 y x) (+.f64 (.f64 y z) x))
5.0ms	(+.f64 (*.f64 y z) x)

rewrite59.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`fma-def_binary64`
480×	`log-prod_binary64`
299×	`fma-neg_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`

Counts

2 → 146

Calls

2 calls:

56.0ms	(+.f64 (*.f64 y z) x)
56.0ms	(+.f64 (.f64 y x) (+.f64 (.f64 y z) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	182	14
2	2511	13
3	5298	13

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

30×	`fma-def_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
5×	`*-lft-identity_binary64`
5×	`*-rgt-identity_binary64`

Counts

164 → 153

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	23	66
2	33	66
3	33	66
4	48	66
5	48	66
6	62	66
7	60	66
8	62	66
9	60	66

prune60.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	153	2	155

Error

Counts

155 → 2

Alt Table

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

Compiler

Compiled 2161 to 612 computations (71.7% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite40.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`prod-diff_binary64`
594×	`log1p-expm1-u_binary64`
594×	`expm1-log1p-u_binary64`
58×	`add-sqr-sqrt_binary64`
54×	`add-log-exp_binary64`

Counts

1 → 42

Calls

1 calls:

39.0ms

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	5
2	1492	5
3	5058	5

simplify11.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Counts

66 → 46

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	15	114
2	22	114
3	20	114
4	33	114
5	31	114
6	33	114
7	31	114

prune23.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	46	2	48

Error

Counts

48 → 2

Alt Table

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

Compiler

Compiled 632 to 225 computations (64.4% saved)

regimes63.0ms (3.6%)

Accuracy

Total 0.0b remaining (68%)

Threshold costs 0.0b (68%)

Counts

17 → 1

Compiler

Compiled 632 to 370 computations (41.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	6	9

end37.0ms (2.1%)

Compiler: Compiled 40 to 21 computations (47.5% saved)

Iter	Nodes	Cost
0	7	10
1	16	8
2	26	8
3	39	8
4	48	8
5	55	8
6	53	8
7	71	8
8	75	8
9	88	8
10	94	8
11	99	8
12	100	8
13	98	8

Iter	Nodes	Cost
0	14	285
1	31	285
2	47	258
3	51	258
4	70	258
5	74	258
6	88	258
7	94	258
8	99	258
9	100	258
10	98	258

Iter	Nodes	Cost
0	7	10
1	16	8
2	26	8
3	39	8
4	48	8
5	55	8
6	53	8
7	71	8
8	75	8
9	88	8
10	94	8
11	99	8
12	100	8
13	98	8

Iter	Nodes	Cost
0	14	285
1	31	285
2	47	258
3	51	258
4	70	258
5	74	258
6	88	258
7	94	258
8	99	258
9	100	258
10	98	258

Details

analyze448.0ms (25.4%)

sample876.0ms (49.7%)

simplify9.0ms (0.5%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

series6.0ms (0.4%)

rewrite38.0ms (2.2%)

simplify18.0ms (1%)

prune17.0ms (1%)

localize5.0ms (0.3%)

series18.0ms (1%)

rewrite59.0ms (3.4%)

simplify13.0ms (0.7%)

prune60.0ms (3.4%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite40.0ms (2.3%)

simplify11.0ms (0.6%)

prune23.0ms (1.3%)

regimes63.0ms (3.6%)

simplify3.0ms (0.2%)

end37.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	7	10
1	16	8
2	26	8
3	39	8
4	48	8
5	55	8
6	53	8
7	71	8
8	75	8
9	88	8
10	94	8
11	99	8
12	100	8
13	98	8

Iter	Nodes	Cost
0	14	285
1	31	285
2	47	258
3	51	258
4	70	258
5	74	258
6	88	258
7	94	258
8	99	258
9	100	258
10	98	258