Details

analyze359.0ms (15.7%)

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
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample158.0ms (6.9%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify53.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary64`
523×	`fma-neg_binary64`
142×	`cancel-sign-sub-inv_binary64`
122×	`distribute-rgt-in_binary64`
106×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	11
2	36	11
3	78	11
4	154	11
5	268	11
6	404	11
7	631	11
8	911	11
9	1092	11
10	1291	11
11	1314	11
12	1316	11
13	1316	11
14	1243	11

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.4b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
▶	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Compiler

Compiled 66 to 41 computations (37.9% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
✓	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.5b	(.f64 (.f64 (-.f64 y x) 6) z)

series25.0ms (1.1%)

Counts

3 → 96

Calls

3 calls:

10.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
8.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
6.0ms	(*.f64 (-.f64 y x) 6)

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

8.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
4.0ms	(*.f64 (-.f64 y x) 6)
2.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

simplify97.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

504×	`fma-neg_binary64`
421×	`distribute-rgt-in_binary64`
403×	`distribute-lft-in_binary64`
380×	`fma-def_binary64`
317×	`*-commutative_binary64`

Counts

158 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1932
1	316	1595
2	1021	1585
3	3144	1583
4	4715	1583
5	5026	1583

prune81.0ms (3.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	112	4	116

Error

Counts

116 → 4

Alt Table

Status	Error	Program
▶	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	1.0b	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (.f64 (*.f64 (-.f64 y x) 6) z))
	0.4b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
	29.9b	(+.f64 x (/.f64 (.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) z) (+.f64 y x)))

Compiler

Compiled 1786 to 871 computations (51.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (-.f64 y x))
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

series17.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
8.0ms	(*.f64 z (-.f64 y x))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
18×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 60

Calls

2 calls:

5.0ms	(*.f64 z (-.f64 y x))
0.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

simplify117.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
433×	`exp-prod_binary64`
341×	`fma-def_binary64`
283×	`neg-mul-1_binary64`
228×	`*-commutative_binary64`

Counts

120 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1596
1	271	1231
2	838	1171
3	2033	1117
4	3701	1117
5	4979	1117
6	4994	1117
7	4789	1117

prune64.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	90	4	94

Error

Counts

94 → 4

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	29.9b	(+.f64 x (/.f64 (.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) z) (+.f64 y x)))
	0.4b	(+.f64 (.f64 z (.f64 6 (-.f64 y x))) x)
▶	0.4b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)

Compiler

Compiled 1565 to 587 computations (62.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)

series9.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

9.0ms

(fma.f64 (*.f64 6 z) (-.f64 y 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 (*.f64 6 z) (-.f64 y x) x)

simplify49.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

743×	`distribute-rgt-neg-out_binary64`
441×	`associate-l_binary64`
426×	`distribute-rgt-in_binary64`
414×	`distribute-lft-in_binary64`
395×	`associate-r_binary64`

Counts

46 → 29

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	697
1	100	512
2	221	506
3	586	506
4	2785	506
5	5027	506

prune16.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	29	4	33

Error

Counts

33 → 4

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	29.9b	(+.f64 x (/.f64 (.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) z) (+.f64 y x)))
▶	0.4b	(+.f64 (.f64 z (.f64 6 (-.f64 y x))) x)
✓	0.4b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)

Compiler

Compiled 424 to 216 computations (49.1% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 z (.f64 6 (-.f64 y x))) x)
✓	0.0b	(*.f64 6 (-.f64 y x))
✓	0.5b	(.f64 z (.f64 6 (-.f64 y x)))

series23.0ms (1%)

Counts

3 → 96

Calls

3 calls:

11.0ms	(+.f64 (.f64 z (.f64 6 (-.f64 y x))) x)
8.0ms	(.f64 z (.f64 6 (-.f64 y x)))
3.0ms	(*.f64 6 (-.f64 y x))

rewrite46.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

117×	`distribute-lft-in_binary64`
117×	`distribute-rgt-in_binary64`
90×	`prod-diff_binary64`
80×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`

Counts

3 → 190

Calls

3 calls:

15.0ms	(+.f64 (.f64 z (.f64 6 (-.f64 y x))) x)
7.0ms	(.f64 z (.f64 6 (-.f64 y x)))
6.0ms	(*.f64 6 (-.f64 y x))

simplify107.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-def_binary64`
580×	`distribute-rgt-in_binary64`
548×	`distribute-lft-in_binary64`
242×	`associate-r_binary64`
227×	`associate-l_binary64`

Counts

286 → 274

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	3802
1	424	3371
2	1418	2823
3	4935	2823

prune165.0ms (7.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	274	0	274
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	274	4	278

Error

Counts

278 → 4

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	29.9b	(+.f64 x (/.f64 (.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) z) (+.f64 y x)))
✓	0.4b	(+.f64 (.f64 z (.f64 6 (-.f64 y x))) x)
✓	0.4b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)

Compiler

Compiled 6060 to 2429 computations (59.9% saved)

regimes233.0ms (10.2%)

Accuracy

Total 0.2b remaining (90.1%)

Threshold costs 0.2b (90.1%)

Counts

59 → 1

Compiler

Compiled 3124 to 2126 computations (31.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	18	19
2	18	19

end0.0ms (0%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

sample602.0ms (26.4%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	128	valid
25.0ms	530×	body	128	invalid

Compiler

Compiled 86 to 57 computations (33.7% saved)

Details

analyze359.0ms (15.7%)

sample158.0ms (6.9%)

simplify53.0ms (2.3%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series25.0ms (1.1%)

rewrite17.0ms (0.8%)

simplify97.0ms (4.3%)

prune81.0ms (3.6%)

localize5.0ms (0.2%)

series17.0ms (0.8%)

rewrite9.0ms (0.4%)

simplify117.0ms (5.1%)

prune64.0ms (2.8%)

localize6.0ms (0.2%)

series9.0ms (0.4%)

rewrite1.0ms (0%)

simplify49.0ms (2.1%)

prune16.0ms (0.7%)

localize5.0ms (0.2%)

series23.0ms (1%)

rewrite46.0ms (2%)

simplify107.0ms (4.7%)

prune165.0ms (7.3%)

regimes233.0ms (10.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample602.0ms (26.4%)

Profiling