Details

analyze1.1s (23.2%)

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 (34.3%)

Results

1.1s	7978×	body	128	valid
275.0ms	1994×	body	128	invalid
55.0ms	136×	body	1024	valid
31.0ms	92×	body	512	valid
10.0ms	50×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify19.0ms (0.4%)

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)

localize10.0ms (0.2%)

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 (0.4%)

Counts

1 → 48

Calls

1 calls:

18.0ms

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

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

simplify87.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-/r/_binary64`
476×	`times-frac_binary64`
403×	`*-commutative_binary64`
295×	`distribute-rgt-in_binary64`
294×	`distribute-lft-in_binary64`

Counts

58 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	1128
1	94	938
2	191	822
3	375	822
4	1548	822
5	1595	822
6	2051	822
7	2189	822
8	3165	822
9	5066	822

prune34.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	3	37

Error

Counts

37 → 3

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
	0.1b	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (+.f64 (.f64 5 y) (.f64 2 (.f64 z x)))))
	33.0b	(.f64 (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

Compiler

Compiled 630 to 349 computations (44.6% saved)

localize8.0ms (0.2%)

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)))

series36.0ms (0.7%)

Counts

2 → 96

Calls

2 calls:

21.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
15.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 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)))

simplify123.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

128 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	2086
1	170	1615
2	433	1611
3	1581	1611
4	2611	1611
5	2923	1611
6	3319	1611
7	4819	1611
8	4807	1611

prune71.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Error

Counts

83 → 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)))))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
	33.0b	(.f64 (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

Compiler

Compiled 1337 to 702 computations (47.5% saved)

localize11.0ms (0.2%)

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

series57.0ms (1.2%)

Counts

4 → 87

Calls

4 calls:

22.0ms	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
20.0ms	(+.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)))
5.0ms	(.f64 2 (.f64 z x))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-log-exp_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
5×	`*-un-lft-identity_binary64`

Counts

4 → 60

Calls

4 calls:

6.0ms	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x))))
4.0ms	(.f64 2 (.f64 z 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)))))

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

813×	`fma-neg_binary64`
700×	`fma-def_binary64`
384×	`*-commutative_binary64`
352×	`distribute-rgt-in_binary64`
318×	`distribute-lft-in_binary64`

Counts

147 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	2439
1	345	1853
2	1182	1839
3	3848	1839
4	5103	1839

prune89.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	120	3	123

Error

Counts

123 → 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)))))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
▶	33.0b	(.f64 (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

Compiler

Compiled 2748 to 1443 computations (47.5% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
✓	0.1b	(sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5)))
✓	0.3b	(.f64 (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

series474.0ms (9.9%)

Counts

2 → 64

Calls

2 calls:

455.0ms	(sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5)))
19.0ms	(.f64 (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
18×	`pow1_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 68

Calls

2 calls:

5.0ms	(.f64 (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))
1.0ms	(sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5)))

simplify163.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

414×	`cancel-sign-sub-inv_binary64`
287×	`associate-r_binary64`
283×	`fma-def_binary64`
254×	`distribute-rgt-in_binary64`
212×	`*-commutative_binary64`

Counts

132 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	4460
1	850	3884
2	3293	3523
3	4943	3523
4	4983	3523

prune226.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	261	3	264

Error

Counts

264 → 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)))))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
✓	33.0b	(.f64 (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (sqrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

Compiler

Compiled 11340 to 6823 computations (39.8% saved)

regimes418.0ms (8.7%)

Accuracy

Total 0.0b remaining (45.2%)

Threshold costs 0.0b (45.2%)

Counts

74 → 1

Compiler

Compiled 6418 to 4506 computations (29.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	17	21
2	17	21

end65.0ms (1.4%)

Compiler: Compiled 104 to 69 computations (33.7% saved)

Details

analyze1.1s (23.2%)

sample1.6s (34.3%)

simplify19.0ms (0.4%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series18.0ms (0.4%)

rewrite1.0ms (0%)

simplify87.0ms (1.8%)

prune34.0ms (0.7%)

localize8.0ms (0.2%)

series36.0ms (0.7%)

rewrite6.0ms (0.1%)

simplify123.0ms (2.6%)

prune71.0ms (1.5%)

localize11.0ms (0.2%)

series57.0ms (1.2%)

rewrite17.0ms (0.4%)

simplify84.0ms (1.8%)

prune89.0ms (1.8%)

localize11.0ms (0.2%)

series474.0ms (9.9%)

rewrite12.0ms (0.2%)

simplify163.0ms (3.4%)

prune226.0ms (4.7%)

regimes418.0ms (8.7%)

simplify2.0ms (0%)

end65.0ms (1.4%)

Profiling