Details

analyze1.1s (25.6%)

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 (38.6%)

Results

1.0s	7993×	body	128	valid
306.0ms	2004×	body	128	invalid
41.0ms	115×	body	1024	valid
24.0ms	84×	body	512	valid
12.0ms	64×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify23.0ms (0.5%)

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 (0.1%)

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

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series26.0ms (0.6%)

Counts

2 → 84

Calls

2 calls:

19.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
6.0ms	(fma.f64 (+.f64 y z) 2 t)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
0.0ms	(fma.f64 (+.f64 y z) 2 t)

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-+l+_binary64`
725×	`associate-+r+_binary64`
391×	`fma-def_binary64`
304×	`associate-l_binary64`
281×	`associate-r_binary64`

Counts

104 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	1589
1	110	1188
2	216	1183
3	739	1183
4	2144	1183
5	4933	1183

prune50.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	3	67

Error

0.0b

Counts

67 → 3

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
✓	0.1b	(fma.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)))))

Compiler

Compiled 992 to 540 computations (45.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (+.f64 y z) t)
✓	0.0b	(*.f64 x (fma.f64 2 (+.f64 y z) t))
✓	0.1b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

series38.0ms (0.9%)

Counts

3 → 132

Calls

3 calls:

17.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
15.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
6.0ms	(fma.f64 2 (+.f64 y z) t)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`

Counts

3 → 42

Calls

3 calls:

3.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
0.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
0.0ms	(fma.f64 2 (+.f64 y z) t)

simplify146.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
401×	`associate-*l/_binary64`
340×	`*-commutative_binary64`
314×	`sqr-pow_binary64`
278×	`distribute-lft-in_binary64`

Counts

174 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	2547
1	173	1976
2	438	1972
3	1590	1972
4	2623	1972
5	2935	1972
6	3337	1972
7	4839	1972
8	4814	1972

prune91.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	111	3	114

Error

0.0b

Counts

114 → 3

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)))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
	30.9b	(fma.f64 5 y (.f64 (.f64 x (sqrt.f64 (fma.f64 2 (+.f64 y z) t))) (sqrt.f64 (fma.f64 2 (+.f64 y z) t))))

Compiler

Compiled 1740 to 915 computations (47.4% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 z x))
✓	0.0b	(.f64 2 (.f64 y x))
✓	0.0b	(+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))
✓	0.1b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))

series41.0ms (1%)

Counts

4 → 66

Calls

4 calls:

20.0ms	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
10.0ms	(+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))
7.0ms	(.f64 2 (.f64 z x))
4.0ms	(.f64 2 (.f64 y x))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
14×	`pow1_binary64`
6×	`associate-l_binary64`
6×	`cbrt-unprod_binary64`

Counts

4 → 64

Calls

4 calls:

4.0ms	(.f64 2 (.f64 z x))
4.0ms	(.f64 2 (.f64 y x))
3.0ms	(+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))
0.0ms	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))

simplify82.0ms (2%)

Algorithm

1×	egg-herbie

Rules

555×	`fma-neg_binary64`
404×	`fma-def_binary64`
371×	`*-commutative_binary64`
337×	`distribute-lft-out_binary64`
224×	`distribute-rgt-out_binary64`

Counts

130 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	2009
1	315	1534
2	964	1528
3	2399	1525
4	4369	1525
5	5062	1525

prune77.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	117	2	119

Error

0.0b

Counts

119 → 2

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
▶	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (fma.f64 t x (.f64 2 (.f64 z x)))))

Compiler

Compiled 2571 to 1343 computations (47.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 (.f64 y x)) (fma.f64 t x (.f64 2 (.f64 z x))))
	0.0b	(.f64 2 (.f64 z x))
	0.0b	(.f64 2 (.f64 y x))
✓	0.1b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (fma.f64 t x (.f64 2 (.f64 z x)))))

series48.0ms (1.2%)

Counts

2 → 96

Calls

2 calls:

30.0ms	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (fma.f64 t x (.f64 2 (.f64 z x)))))
18.0ms	(+.f64 (.f64 2 (.f64 y x)) (fma.f64 t x (.f64 2 (.f64 z x))))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 25

Calls

2 calls:

4.0ms	(+.f64 (.f64 2 (.f64 y x)) (fma.f64 t x (.f64 2 (.f64 z x))))
0.0ms	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (fma.f64 t x (.f64 2 (.f64 z x)))))

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

638×	`cancel-sign-sub-inv_binary64`
477×	`distribute-rgt-out_binary64`
436×	`associate-l_binary64`
393×	`associate-r_binary64`
368×	`fma-neg_binary64`

Counts

121 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	2223
1	184	1671
2	590	1658
3	3035	1658
4	5038	1658

prune80.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	124	2	126

Error

0.0b

Counts

126 → 2

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
✓	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (fma.f64 t x (.f64 2 (.f64 z x)))))

Compiler

Compiled 2607 to 1415 computations (45.7% saved)

regimes517.0ms (12.5%)

Accuracy

Total 0.0b remaining (72.2%)

Threshold costs 0.0b (72.2%)

Counts

106 → 1

Compiler

Compiled 8208 to 5796 computations (29.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	16	22
2	16	22

end52.0ms (1.3%)

Compiler: Compiled 76 to 50 computations (34.2% saved)

Details

analyze1.1s (25.6%)

sample1.6s (38.6%)

simplify23.0ms (0.5%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series26.0ms (0.6%)

rewrite1.0ms (0%)

simplify61.0ms (1.5%)

prune50.0ms (1.2%)

localize9.0ms (0.2%)

series38.0ms (0.9%)

rewrite5.0ms (0.1%)

simplify146.0ms (3.5%)

prune91.0ms (2.2%)

localize15.0ms (0.4%)

series41.0ms (1%)

rewrite15.0ms (0.4%)

simplify82.0ms (2%)

prune77.0ms (1.9%)

localize11.0ms (0.3%)

series48.0ms (1.2%)

rewrite5.0ms (0.1%)

simplify69.0ms (1.7%)

prune80.0ms (1.9%)

regimes517.0ms (12.5%)

simplify2.0ms (0.1%)

end52.0ms (1.3%)

Profiling