Details

analyze397.0ms (24.5%)

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)

sample916.0ms (56.6%)

Results

768.0ms	8256×	body	128	valid
63.0ms	619×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify28.0ms (1.7%)

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)

series6.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(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 (3.5%)

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

prune11.0ms (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

0.0b

Counts

22 → 2

Alt Table

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

Compiler

Compiled 212 to 68 computations (67.9% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.4%)

Counts

1 → 9

Calls

1 calls:

7.0ms

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

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`fma-neg_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`prod-diff_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

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

simplify82.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-neg_binary64`
681×	`associate-+l+_binary64`
379×	`*-commutative_binary64`
251×	`times-frac_binary64`
237×	`fma-def_binary64`

Counts

31 → 45

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	471
1	156	357
2	467	338
3	1916	337
4	3724	305
5	4989	305
6	4968	305
7	4858	305

prune16.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Error

0.0b

Counts

47 → 2

Alt Table

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

Compiler

Compiled 676 to 140 computations (79.3% saved)

regimes38.0ms (2.4%)

Accuracy

Total 0.0b remaining (77.9%)

Threshold costs 0.0b (77.9%)

Counts

9 → 1

Compiler

Compiled 336 to 214 computations (36.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`*-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	8	13
1	16	13
2	26	13
3	32	13
4	36	13
5	37	13
6	37	13

end39.0ms (2.4%)

Compiler: Compiled 45 to 26 computations (42.2% 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

analyze397.0ms (24.5%)

sample916.0ms (56.6%)

simplify28.0ms (1.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series6.0ms (0.4%)

rewrite1.0ms (0%)

simplify57.0ms (3.5%)

prune11.0ms (0.7%)

localize7.0ms (0.4%)

series7.0ms (0.4%)

rewrite6.0ms (0.3%)

simplify82.0ms (5.1%)

prune16.0ms (1%)

regimes38.0ms (2.4%)

simplify2.0ms (0.1%)

end39.0ms (2.4%)

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