Details

analyze1.1s (37.9%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	98.7%	1.3%	9
0%	96.5%	3.5%	10
0%	95.2%	4.8%	11
0%	94.2%	5.8%	12
0%	92.9%	7.1%	13
0%	92.4%	7.6%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.5s (49.8%)

Results

882.0ms	8256×	body	128	valid
518.0ms	1085×	body	8192	exit
28.0ms	295×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify10.0ms (0.3%)

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

prune3.0ms (0.1%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify94.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

760×	`unswap-sqr_binary64`
540×	`distribute-rgt-in_binary64`
536×	`distribute-lft-in_binary64`
456×	`*-commutative_binary64`
361×	`distribute-rgt-out_binary64`

Counts

46 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	385
1	42	368
2	96	368
3	326	368
4	1685	368
5	1904	368
6	2179	368
7	2746	368
8	4060	368
9	4552	368
10	5198	368

prune11.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

Counts

21 → 2

Alt Table

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

Compiler

Compiled 202 to 60 computations (70.3% saved)

localize8.0ms (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))

series12.0ms (0.4%)

Counts

2 → 18

Calls

2 calls:

7.0ms	(+.f64 (.f64 y x) (+.f64 (.f64 y z) x))
5.0ms	(+.f64 (*.f64 y z) x)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`+-commutative_binary64`
2×	`flip-+_binary64`
2×	`*-un-lft-identity_binary64`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+.f64 (.f64 y x) (+.f64 (.f64 y z) x))
3.0ms	(+.f64 (*.f64 y z) x)

simplify98.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

390×	`sub-neg_binary64`
356×	`fma-def_binary64`
325×	`distribute-rgt-out_binary64`
293×	`*-commutative_binary64`
229×	`fma-neg_binary64`

Counts

48 → 56

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	439
1	197	405
2	597	401
3	2006	401
4	3290	401
5	4728	401
6	4988	401
7	4970	401

prune21.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	56	2	58

Error

Counts

58 → 2

Alt Table

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

Compiler

Compiled 807 to 196 computations (75.7% saved)

regimes51.0ms (1.7%)

Accuracy

Total 0.0b remaining (54.1%)

Threshold costs 0.0b (54.1%)

Counts

12 → 1

Compiler

Compiled 452 to 278 computations (38.5% saved)

simplify2.0ms (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

end36.0ms (1.2%)

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	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

Details

analyze1.1s (37.9%)

sample1.5s (49.8%)

simplify10.0ms (0.3%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite1.0ms (0%)

simplify94.0ms (3.2%)

prune11.0ms (0.4%)

localize8.0ms (0.3%)

series12.0ms (0.4%)

rewrite8.0ms (0.3%)

simplify98.0ms (3.3%)

prune21.0ms (0.7%)

regimes51.0ms (1.7%)

simplify2.0ms (0.1%)

end36.0ms (1.2%)

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