Details

analyze434.0ms (15.8%)

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
31.2%	68.6%	0.1%	9
40.6%	50.7%	8.7%	10
48.4%	42.1%	9.5%	11
54.2%	35.5%	10.3%	12
59.1%	25.9%	15%	13
63.9%	20.9%	15.3%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.0s (37.7%)

Results

820.0ms	8256×	body	128	valid
64.0ms	662×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify57.0ms (2.1%)

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

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

series12.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
3.0ms	(*.f64 (-.f64 y x) 6)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 34

Calls

2 calls:

4.0ms	(*.f64 (-.f64 y x) 6)
0.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

simplify87.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

829×	`times-frac_binary64`
732×	`fma-def_binary64`
490×	`unsub-neg_binary64`
306×	`*-commutative_binary64`
289×	`neg-sub0_binary64`

Counts

94 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	1108
1	190	899
2	520	893
3	1543	893
4	3149	893
5	4667	893
6	6079	893

prune49.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	5	71

Error

0.0b

Counts

71 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
▶	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	24.7b	(fma.f64 x (*.f64 z -6) x)
	28.1b	(fma.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) 6) (+.f64 y x)) z x)

Compiler

Compiled 1003 to 490 computations (51.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (-.f64 y x))
✓	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

series15.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
6.0ms	(*.f64 z (-.f64 y x))

rewrite12.0ms (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:

8.0ms	(*.f64 z (-.f64 y x))
0.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

simplify118.0ms (4.3%)

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

prune59.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	90	5	95

Error

0.0b

Counts

95 → 5

Alt Table

Status	Error	Program
	31.7b	(fma.f64 6 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (-.f64 y x))) x)
	0.8b	(fma.f64 6 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (-.f64 y x))) x)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
✓	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
▶	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)

Compiler

Compiled 1578 to 592 computations (62.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

8.0ms

(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)

simplify54.0ms (2%)

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

prune14.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	29	5	34

Error

0.0b

Counts

34 → 5

Alt Table

Status	Error	Program
	31.7b	(fma.f64 6 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (-.f64 y x))) x)
▶	0.8b	(fma.f64 6 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (-.f64 y x))) x)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
✓	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
✓	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)

Compiler

Compiled 437 to 221 computations (49.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 z) (-.f64 y x))
✓	0.3b	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (-.f64 y x)))
✓	0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)

series219.0ms (8%)

Counts

4 → 96

Calls

4 calls:

127.0ms	(*.f64 (cbrt.f64 z) (-.f64 y x))
37.0ms	(cbrt.f64 z)
36.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
19.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (-.f64 y x)))

rewrite39.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`add-sqr-sqrt_binary64`
65×	`distribute-lft-in_binary64`
65×	`distribute-rgt-in_binary64`
60×	`*-un-lft-identity_binary64`
58×	`add-cube-cbrt_binary64`

Counts

4 → 187

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 z) (-.f64 y x))
10.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (-.f64 y x)))
4.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

simplify149.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

515×	`exp-prod_binary64`
437×	`associate-l_binary64`
362×	`associate-r_binary64`
359×	`unswap-sqr_binary64`
357×	`distribute-rgt-in_binary64`

Counts

283 → 241

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	264	3129
1	418	2804
2	1481	2589
3	3812	2412
4	4509	2400
5	4666	2400

prune156.0ms (5.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	279	5	284

Error

0.0b

Counts

284 → 5

Alt Table

Status	Error	Program
	31.7b	(fma.f64 6 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (-.f64 y x))) x)
✓	0.8b	(fma.f64 6 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (-.f64 y x))) x)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
✓	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
✓	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)

Compiler

Compiled 6918 to 1809 computations (73.9% saved)

regimes120.0ms (4.4%)

Accuracy

Total 0.2b remaining (93%)

Threshold costs 0.2b (93%)

Counts

30 → 1

Compiler

Compiled 1524 to 994 computations (34.8% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
2	16	11
3	18	11
4	19	11
5	19	11

end67.0ms (2.4%)

Compiler: Compiled 88 to 54 computations (38.6% saved)

Details

analyze434.0ms (15.8%)

sample1.0s (37.7%)

simplify57.0ms (2.1%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series12.0ms (0.5%)

rewrite6.0ms (0.2%)

simplify87.0ms (3.2%)

prune49.0ms (1.8%)

localize5.0ms (0.2%)

series15.0ms (0.6%)

rewrite12.0ms (0.4%)

simplify118.0ms (4.3%)

prune59.0ms (2.2%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite1.0ms (0%)

simplify54.0ms (2%)

prune14.0ms (0.5%)

localize8.0ms (0.3%)

series219.0ms (8%)

rewrite39.0ms (1.4%)

simplify149.0ms (5.4%)

prune156.0ms (5.7%)

regimes120.0ms (4.4%)

simplify6.0ms (0.2%)

end67.0ms (2.4%)

Profiling