Details

analyze423.0ms (20.8%)

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)

sample904.0ms (44.6%)

Results

816.0ms	8256×	body	128	valid
53.0ms	610×	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

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)

localize13.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(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)

simplify92.0ms (4.6%)

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

prune16.0ms (0.8%)

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	(fma.f64 y (+.f64 x z) x)
▶	40.2b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (+.f64 x z) x) (fma.f64 y (+.f64 x z) x)) (fma.f64 y (+.f64 x z) x)))

Compiler

Compiled 226 to 62 computations (72.6% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 y (+.f64 x z) x)
✓	0.1b	(.f64 (.f64 (fma.f64 y (+.f64 x z) x) (fma.f64 y (+.f64 x z) x)) (fma.f64 y (+.f64 x z) x))
✓	0.1b	(*.f64 (fma.f64 y (+.f64 x z) x) (fma.f64 y (+.f64 x z) x))
✓	38.0b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (+.f64 x z) x) (fma.f64 y (+.f64 x z) x)) (fma.f64 y (+.f64 x z) x)))

series82.0ms (4.1%)

Counts

3 → 108

Calls

3 calls:

50.0ms

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

25.0ms

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

7.0ms

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

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
13×	`add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`

Counts

3 → 74

Calls

3 calls:

6.0ms

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

3.0ms

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

3.0ms

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

simplify202.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

563×	`distribute-rgt-out_binary64`
493×	`*-commutative_binary64`
382×	`fma-def_binary64`
326×	`associate-+r+_binary64`
288×	`sqr-pow_binary64`

Counts

182 → 154

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	214	6443
1	653	5133
2	2388	4649
3	3715	4586
4	4420	4446
5	5079	4446

prune91.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	214	2	216

Error

Counts

216 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 y (+.f64 x z) x)
✓	40.2b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (+.f64 x z) x) (fma.f64 y (+.f64 x z) x)) (fma.f64 y (+.f64 x z) x)))

Compiler

Compiled 6002 to 1860 computations (69% saved)

regimes111.0ms (5.5%)

Accuracy

Total 0.0b remaining (9.3%)

Threshold costs 0.0b (9.3%)

Counts

27 → 1

Compiler

Compiled 1780 to 894 computations (49.8% 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

end48.0ms (2.4%)

Compiler: Compiled 51 to 23 computations (54.9% 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

analyze423.0ms (20.8%)

sample904.0ms (44.6%)

simplify9.0ms (0.5%)

prune3.0ms (0.1%)

localize13.0ms (0.6%)

series7.0ms (0.3%)

rewrite1.0ms (0%)

simplify92.0ms (4.6%)

prune16.0ms (0.8%)

localize9.0ms (0.5%)

series82.0ms (4.1%)

rewrite16.0ms (0.8%)

simplify202.0ms (9.9%)

prune91.0ms (4.5%)

regimes111.0ms (5.5%)

simplify2.0ms (0.1%)

end48.0ms (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