Details

analyze407.0ms (22.1%)

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)

sample913.0ms (49.6%)

Results

783.0ms	8256×	body	128	valid
62.0ms	565×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify18.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	52	8
4	100	8
5	171	8
6	281	8
7	481	8
8	871	8
9	1111	8
10	1211	8
11	1218	8

Stop Event

1×

saturated

Counts

1 → 2

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 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 (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite35.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
423×	`prod-diff_binary64`
69×	`add-sqr-sqrt_binary64`
65×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1775	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

1 calls:

35.0ms

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

simplify32.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

265×	`fma-neg_binary64`
241×	`fma-def_binary64`
57×	`distribute-rgt-in_binary64`
39×	`associate--r+_binary64`
37×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	345
1	54	318
2	116	318
3	257	264
4	521	264
5	905	264
6	1108	264
7	1140	264
8	1141	264

Stop Event

1×

saturated

Counts

59 → 33

prune15.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

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)
	37.8b	(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3))

Compiler

Compiled 375 to 125 computations (66.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.8%)

Counts

2 → 18

Calls

2 calls:

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

rewrite58.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`fma-def_binary64`
504×	`log-prod_binary64`
269×	`fma-neg_binary64`
208×	`egg-rr`
176×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	185	16
2	2796	16

Stop Event

1×	node limit

Counts

2 → 208

Calls

2 calls:

51.0ms	(+.f64 (*.f64 y z) x)
51.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))

simplify18.0ms (1%)

Algorithm

1×	egg-herbie

Rules

196×	`fma-def_binary64`
140×	`fma-neg_binary64`
37×	`distribute-rgt-in_binary64`
30×	`associate-r_binary64`
28×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	47	72
2	100	72
3	218	72
4	443	72
5	691	72
6	826	72
7	837	72

Stop Event

1×

saturated

Counts

226 → 216

prune85.0ms (4.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	217	2	219

Error

Counts

219 → 2

Alt Table

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

Compiler

Compiled 3570 to 929 computations (74% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 15

Calls

1 calls:

4.0ms

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

rewrite50.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`prod-diff_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
98×	`egg-rr`
60×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1628	7

Stop Event

1×	node limit

Counts

1 → 98

Calls

1 calls:

47.0ms

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

simplify15.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

150×	`fma-def_binary64`
69×	`fma-neg_binary64`
25×	`distribute-rgt-in_binary64`
22×	`associate-l_binary64`
21×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	97
1	29	97
2	61	97
3	105	97
4	191	97
5	324	97
6	519	97
7	536	97

Stop Event

1×

saturated

Counts

113 → 104

prune54.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	2	106

Error

Counts

106 → 2

Alt Table

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

Compiler

Compiled 2487 to 596 computations (76% saved)

regimes55.0ms (3%)

Accuracy

Total 0.0b remaining (85.4%)

Threshold costs 0.0b (85.4%)

Counts

13 → 1

Compiler

Compiled 496 to 310 computations (37.5% saved)

simplify2.0ms (0.1%)

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	25	11
3	31	11
4	35	11
5	36	11

Stop Event

1×

saturated

end42.0ms (2.3%)

Compiler: Compiled 42 to 23 computations (45.2% saved)

Details

analyze407.0ms (22.1%)

sample913.0ms (49.6%)

simplify18.0ms (1%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite35.0ms (1.9%)

simplify32.0ms (1.8%)

prune15.0ms (0.8%)

localize6.0ms (0.3%)

series14.0ms (0.8%)

rewrite58.0ms (3.2%)

simplify18.0ms (1%)

prune85.0ms (4.6%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite50.0ms (2.7%)

simplify15.0ms (0.8%)

prune54.0ms (2.9%)

regimes55.0ms (3%)

simplify2.0ms (0.1%)

end42.0ms (2.3%)

Profiling