Details

analyze974.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.6s (2.4%)

Results

1.1s	7995×	body	128	valid
217.0ms	1837×	body	128	invalid
51.0ms	145×	body	1024	valid
18.0ms	68×	body	512	valid
9.0ms	48×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify20.0ms (0%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
317×	`associate-+l+_binary64`
210×	`associate-+r+_binary64`
79×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	32	17
2	87	15
3	232	15
4	484	15
5	761	15
6	922	15
7	936	15
8	916	15

prune3.0ms (0%)

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 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

series18.0ms (0%)

Counts

1 → 48

Calls

1 calls:

18.0ms

(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

rewrite102.0ms (0.2%)

Algorithm

2×	batch-egg-rewrite

Rules

640×	`prod-diff_binary64`
462×	`fma-udef_binary64`
242×	`fma-def_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`

Counts

1 → 30

Calls

1 calls:

102.0ms

(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	231	15
2	2725	15
3	4756	15
4	4750	15
5	5085	15
0	0	0
1	0	0

simplify29.0ms (0%)

Algorithm

1×	egg-herbie

Rules

191×	`fma-def_binary64`
26×	`+-commutative_binary64`
24×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`*-commutative_binary64`

Counts

78 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	910
1	75	753
2	147	676
3	248	638
4	282	638
5	290	638
6	289	638

prune39.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Error

0.0b

Counts

49 → 4

Alt Table

Status	Error	Program
	43.6b	(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 (+.f64 y z) 2 t)) 3) (pow.f64 (.f64 y 5) 3)) (fma.f64 (.f64 x (fma.f64 (+.f64 y z) 2 t)) (.f64 x (fma.f64 (+.f64 y z) 2 t)) (-.f64 (.f64 (.f64 y y) 25) (.f64 (.f64 x (fma.f64 (+.f64 y z) 2 t)) (*.f64 y 5)))))
	0.1b	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (+.f64 (.f64 5 y) (.f64 2 (.f64 z x)))))
	1.3b	(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))) 3)
▶	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Compiler

Compiled 923 to 533 computations (42.3% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 2 (+.f64 y z) t))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

series40.0ms (0.1%)

Counts

2 → 96

Calls

2 calls:

20.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
19.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))

rewrite108.0ms (0.2%)

Algorithm

2×	batch-egg-rewrite

Rules

635×	`prod-diff_binary64`
482×	`fma-udef_binary64`
244×	`fma-def_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`

Counts

2 → 42

Calls

2 calls:

107.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
107.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	231	26
2	2735	26
3	4785	26
4	4779	26
5	4907	26
0	0	0
1	0	0

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

179×	`fma-def_binary64`
20×	`+-commutative_binary64`
19×	`associate-+r+_binary64`
17×	`*-commutative_binary64`
16×	`associate-+l+_binary64`

Counts

138 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	1521
1	92	1282
2	163	1129
3	272	1129
4	290	1129
5	289	1129

prune51.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Error

0.0b

Counts

72 → 4

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
	32.0b	(fma.f64 5 y (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t)) 3)))
	0.8b	(fma.f64 5 y (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t))) 3))

Compiler

Compiled 1051 to 601 computations (42.8% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))
✓	0.0b	(.f64 2 (.f64 y x))
✓	0.0b	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x))))
✓	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))

series54.0ms (0.1%)

Counts

4 → 87

Calls

4 calls:

20.0ms	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
16.0ms	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x))))
9.0ms	(.f64 2 (.f64 y x))
8.0ms	(+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))

rewrite117.0ms (0.2%)

Algorithm

2×	batch-egg-rewrite

Rules

298×	`expm1-udef_binary64`
298×	`log1p-udef_binary64`
165×	`add-sqr-sqrt_binary64`
157×	`log1p-expm1-u_binary64`
157×	`expm1-log1p-u_binary64`

Counts

4 → 121

Calls

4 calls:

104.0ms	(+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))
104.0ms	(.f64 2 (.f64 y x))
104.0ms	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x))))
104.0ms	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	328	55
2	4201	55
3	5016	55
0	0	0
1	0	0

simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

177×	`fma-def_binary64`
23×	`+-commutative_binary64`
19×	`*-commutative_binary64`
17×	`associate-+r+_binary64`
17×	`associate-+l+_binary64`

Counts

208 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	1314
1	84	1087
2	163	1011
3	257	961
4	286	961
5	290	961
6	289	961

prune129.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	146	4	150

Error

0.0b

Counts

150 → 4

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
	32.0b	(fma.f64 5 y (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t)) 3)))
▶	0.8b	(fma.f64 5 y (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t))) 3))

Compiler

Compiled 3357 to 1957 computations (41.7% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (fma.f64 2 (+.f64 y z) t))
✓	0.0b	(fma.f64 5 y (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t))) 3))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t))) 3)
✓	2.1b	(cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t)))

series1.0min (92%)

Counts

3 → 144

Calls

3 calls:

32.6s	(fma.f64 5 y (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t))) 3))
29.0s	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t))) 3)
469.0ms	(cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t)))

rewrite98.0ms (0.1%)

Algorithm

2×	batch-egg-rewrite

Rules

704×	`prod-diff_binary64`
236×	`log1p-udef_binary64`
133×	`add-sqr-sqrt_binary64`
130×	`log1p-expm1-u_binary64`
130×	`expm1-log1p-u_binary64`

Counts

3 → 84

Calls

3 calls:

94.0ms	(fma.f64 5 y (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t))) 3))
94.0ms	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t))) 3)
94.0ms	(cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	278	39
2	3134	39
3	4861	39
0	0	0
1	0	0

simplify336.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-def_binary64`
480×	`times-frac_binary64`
366×	`associate-/l*_binary64`
275×	`associate-/r*_binary64`
194×	`*-commutative_binary64`

Counts

228 → 247

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	553	8901
1	1737	8492
2	4952	8399
3	5346	8399

prune524.0ms (0.8%)

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

0.0b

Counts

278 → 4

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
	32.0b	(fma.f64 5 y (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t)) 3)))
✓	0.8b	(fma.f64 5 y (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (+.f64 y z) t))) 3))

Compiler

Compiled 10954 to 7725 computations (29.5% saved)

regimes879.0ms (1.3%)

Accuracy

Total 0.0b remaining (75.8%)

Threshold costs 0.0b (75.8%)

Counts

87 → 1

Compiler

Compiled 7698 to 5366 computations (30.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	15	18
2	15	18

end149.0ms (0.2%)

Compiler: Compiled 107 to 73 computations (31.8% saved)

Details

analyze974.0ms (1.4%)

sample1.6s (2.4%)

simplify20.0ms (0%)

prune3.0ms (0%)

localize7.0ms (0%)

series18.0ms (0%)

rewrite102.0ms (0.2%)

simplify29.0ms (0%)

prune39.0ms (0.1%)

localize7.0ms (0%)

series40.0ms (0.1%)

rewrite108.0ms (0.2%)

simplify39.0ms (0.1%)

prune51.0ms (0.1%)

localize11.0ms (0%)

series54.0ms (0.1%)

rewrite117.0ms (0.2%)

simplify62.0ms (0.1%)

prune129.0ms (0.2%)

localize12.0ms (0%)

series1.0min (92%)

rewrite98.0ms (0.1%)

simplify336.0ms (0.5%)

prune524.0ms (0.8%)

regimes879.0ms (1.3%)

simplify4.0ms (0%)

end149.0ms (0.2%)

Profiling