Details

analyze425.0ms (24.9%)

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
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%	32.3%	11.6%	12
59.1%	26.6%	14.3%	13
63.9%	20.9%	15.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample979.0ms (57.5%)

Results

837.0ms	8256×	body	128	valid
58.0ms	606×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify25.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

278×	`fma-def_binary64`
251×	`fma-neg_binary64`
71×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-in_binary64`
41×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

prune2.0ms (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 z x) x)

Compiler

Compiled 34 to 17 computations (50% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

simplify57.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

694×	`neg-mul-1_binary64`
479×	`distribute-rgt-neg-out_binary64`
433×	`distribute-lft-neg-out_binary64`
343×	`distribute-rgt-in_binary64`
336×	`distribute-lft-in_binary64`

Counts

46 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	472
1	66	374
2	137	374
3	363	374
4	1693	374
5	3955	374
6	5046	374

prune12.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Error

Counts

22 → 2

Alt Table

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

Compiler

Compiled 212 to 68 computations (67.9% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 9

Calls

1 calls:

5.0ms

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

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`
1×	`flip3-+_binary64`

Counts

1 → 14

Calls

1 calls:

3.0ms

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

simplify79.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-neg_binary64`
583×	`fma-def_binary64`
518×	`associate-l_binary64`
438×	`unswap-sqr_binary64`
403×	`distribute-rgt-in_binary64`

Counts

23 → 25

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	169
1	94	158
2	247	155
3	625	155
4	1588	155
5	3232	155
6	4474	155
7	4639	155
8	4849	155

prune11.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Error

Counts

27 → 2

Alt Table

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

Compiler

Compiled 379 to 109 computations (71.2% saved)

regimes46.0ms (2.7%)

Accuracy

Total 0.0b remaining (75.3%)

Threshold costs 0.0b (75.3%)

Counts

11 → 1

Compiler

Compiled 420 to 262 computations (37.6% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	23	11
3	29	11
4	33	11
5	34	11
6	34	11

end38.0ms (2.2%)

Compiler: Compiled 43 to 24 computations (44.2% saved)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Details

analyze425.0ms (24.9%)

sample979.0ms (57.5%)

simplify25.0ms (1.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite1.0ms (0%)

simplify57.0ms (3.4%)

prune12.0ms (0.7%)

localize6.0ms (0.4%)

series5.0ms (0.3%)

rewrite3.0ms (0.2%)

simplify79.0ms (4.6%)

prune11.0ms (0.6%)

regimes46.0ms (2.7%)

simplify3.0ms (0.2%)

end38.0ms (2.2%)

Profiling

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8