Details

analyze760.0ms (25%)

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)

sample1.6s (53.2%)

Results

1.4s	8256×	body	128	valid
103.0ms	569×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify19.0ms (0.6%)

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

prune5.0ms (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)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

12.0ms

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

rewrite62.0ms (2%)

Algorithm

2×	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 → 23

Calls

1 calls:

61.0ms

(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
0	0	0
1	0	0

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

59 → 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

prune31.0ms (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

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)

localize11.0ms (0.4%)

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))

series25.0ms (0.8%)

Counts

2 → 18

Calls

2 calls:

16.0ms	(+.f64 (.f64 y x) (+.f64 (.f64 y z) x))
9.0ms	(+.f64 (*.f64 y z) x)

rewrite98.0ms (3.2%)

Algorithm

2×	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:

92.0ms	(+.f64 (*.f64 y z) x)
92.0ms	(+.f64 (.f64 y x) (+.f64 (.f64 y z) x))

Iterations

Useful iterations: 0 (0.0ms)

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

simplify26.0ms (0.9%)

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

prune127.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	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	(+.f64 (.f64 y x) (+.f64 (.f64 y z) x))

Compiler

Compiled 2151 to 607 computations (71.8% saved)

regimes115.0ms (3.8%)

Accuracy

Total 0.0b remaining (63.5%)

Threshold costs 0.0b (63.5%)

Counts

16 → 1

Compiler

Compiled 620 to 366 computations (41% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end73.0ms (2.4%)

Compiler: Compiled 39 to 22 computations (43.6% 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

analyze760.0ms (25%)

sample1.6s (53.2%)

simplify19.0ms (0.6%)

prune5.0ms (0.2%)

localize10.0ms (0.3%)

series12.0ms (0.4%)

rewrite62.0ms (2%)

simplify43.0ms (1.4%)

prune31.0ms (1%)

localize11.0ms (0.4%)

series25.0ms (0.8%)

rewrite98.0ms (3.2%)

simplify26.0ms (0.9%)

prune127.0ms (4.2%)

regimes115.0ms (3.8%)

simplify4.0ms (0.1%)

end73.0ms (2.4%)

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