Details

analyze599.0ms (16.9%)

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
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)

sample1.7s (46.8%)

Results

1.4s	8256×	body	128	valid
123.0ms	563×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify52.0ms (1.5%)

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

0.1b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 66 to 41 computations (37.9% saved)

localize5.0ms (0.1%)

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)

series14.0ms (0.4%)

Counts

2 → 60

Calls

2 calls:

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

rewrite67.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

847×	`log1p-expm1-u_binary64`
847×	`expm1-log1p-u_binary64`
433×	`prod-diff_binary64`
88×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Counts

2 → 44

Calls

2 calls:

66.0ms	(*.f64 (-.f64 y x) 6)
66.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2112	18
3	5919	18
0	0	0
1	0	0

simplify74.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-def_binary64`
521×	`fma-neg_binary64`
105×	`cancel-sign-sub-inv_binary64`
96×	`associate-l_binary64`
95×	`distribute-rgt-in_binary64`

Counts

104 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	681
1	83	573
2	180	567
3	367	513
4	635	513
5	1001	513
6	1279	513
7	1320	513
8	1324	513
9	1324	513
10	1251	513

prune49.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	8	63

Error

0.0b

Counts

63 → 8

Alt Table

Status	Error	Program
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 6)) 3) z x)
	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	38.5b	(fma.f64 (/.f64 (.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) 6) (fma.f64 y y (.f64 x (+.f64 y x)))) z x)
	23.6b	(fma.f64 x (*.f64 z -6) x)
▶	0.1b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	41.2b	(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x) 3))
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Compiler

Compiled 916 to 508 computations (44.5% saved)

localize10.0ms (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)
✓	0.2b	(.f64 (.f64 (-.f64 y x) 6) z)

series20.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

12.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
8.0ms	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite62.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
404×	`fma-def_binary64`
190×	`fma-neg_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`

Counts

2 → 80

Calls

2 calls:

60.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
60.0ms	(.f64 (.f64 (-.f64 y x) 6) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	21
2	2672	21
3	5176	21
0	0	0
1	0	0

simplify84.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

651×	`fma-def_binary64`
534×	`fma-neg_binary64`
107×	`cancel-sign-sub-inv_binary64`
102×	`associate-l_binary64`
95×	`distribute-rgt-in_binary64`

Counts

152 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	969
1	97	765
2	198	759
3	399	705
4	671	705
5	1005	705
6	1276	705
7	1312	705
8	1316	705
9	1316	705
10	1243	705

prune250.0ms (7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	123	5	128

Error

Counts

128 → 5

Alt Table

Status	Error	Program
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 6)) 3) z x)
	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
▶	0.1b	(fma.f64 (-.f64 y x) (*.f64 6 z) x)
	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Compiler

Compiled 1800 to 957 computations (46.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

10.0ms

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

rewrite45.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
433×	`prod-diff_binary64`
88×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Counts

1 → 24

Calls

1 calls:

45.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	2102	11
3	5885	11
0	0	0
1	0	0

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-def_binary64`
521×	`fma-neg_binary64`
105×	`cancel-sign-sub-inv_binary64`
96×	`associate-l_binary64`
95×	`distribute-rgt-in_binary64`

Counts

60 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	531
1	82	423
2	180	417
3	367	363
4	635	363
5	1001	363
6	1279	363
7	1320	363
8	1324	363
9	1324	363
10	1251	363

prune27.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Error

Counts

41 → 5

Alt Table

Status	Error	Program
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 6)) 3) z x)
	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
✓	0.1b	(fma.f64 (-.f64 y x) (*.f64 6 z) x)
▶	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Compiler

Compiled 527 to 295 computations (44% saved)

localize5.0ms (0.1%)

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)

series17.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

11.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
6.0ms	(*.f64 z (-.f64 y x))

rewrite56.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
418×	`prod-diff_binary64`
88×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Counts

2 → 46

Calls

2 calls:

54.0ms	(*.f64 z (-.f64 y x))
54.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2114	18
3	5907	18
0	0	0
1	0	0

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
514×	`fma-neg_binary64`
109×	`cancel-sign-sub-inv_binary64`
97×	`associate-l_binary64`
88×	`distribute-rgt-in_binary64`

Counts

106 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	741
1	92	579
2	196	573
3	381	519
4	675	519
5	1042	519
6	1286	519
7	1318	519
8	1322	519
9	1322	519
10	1249	519

prune57.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	61	5	66

Error

Counts

66 → 5

Alt Table

Status	Error	Program
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 6)) 3) z x)
	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
✓	0.1b	(fma.f64 (-.f64 y x) (*.f64 6 z) x)
✓	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Compiler

Compiled 784 to 367 computations (53.2% saved)

regimes158.0ms (4.4%)

Accuracy

Total 0.2b remaining (93.8%)

Threshold costs 0.2b (93.8%)

Counts

40 → 1

Compiler

Compiled 1924 to 1338 computations (30.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	19	14
2	28	14
3	32	14
4	33	14
5	32	14

end90.0ms (2.5%)

Compiler: Compiled 89 to 60 computations (32.6% saved)

Details

analyze599.0ms (16.9%)

sample1.7s (46.8%)

simplify52.0ms (1.5%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series14.0ms (0.4%)

rewrite67.0ms (1.9%)

simplify74.0ms (2.1%)

prune49.0ms (1.4%)

localize10.0ms (0.3%)

series20.0ms (0.6%)

rewrite62.0ms (1.7%)

simplify84.0ms (2.4%)

prune250.0ms (7%)

localize5.0ms (0.1%)

series10.0ms (0.3%)

rewrite45.0ms (1.3%)

simplify60.0ms (1.7%)

prune27.0ms (0.8%)

localize5.0ms (0.1%)

series17.0ms (0.5%)

rewrite56.0ms (1.6%)

simplify71.0ms (2%)

prune57.0ms (1.6%)

regimes158.0ms (4.4%)

simplify3.0ms (0.1%)

end90.0ms (2.5%)

Profiling