Details

analyze344.0ms (12.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
14.1%	14%	85.8%	0.2%	0%	0%	0%	11
21.1%	21.1%	78.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.9s (68.3%)

Results

1.6s	8254×	body	256	valid
235.0ms	1155×	body	256	infinite
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess249.0ms (9%)

Algorithm

2×	egg-herbie

Rules

2704×	`fma-def`
874×	`fma-neg`
872×	`associate-+l-`
708×	`associate--r+`
704×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	217
1	104	217
2	221	203
3	452	189
4	1049	161
5	2517	161
6	5065	161
7	5293	161
8	5324	161
9	5324	161
10	6312	161
11	6312	161
12	6312	161
13	6320	161
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
1
3

Call 2

Inputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) y) (/.f64 (.f64 x z) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) z) (/.f64 (.f64 y x) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) t) (/.f64 (.f64 y z) 2)) x)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 z y) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 t z) 2)) y)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y t) 2)) z)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
(fma.f64 1/8 x (fma.f64 -1 (/.f64 y (/.f64 2 z)) t))
(-.f64 (fma.f64 1/8 x t) (*.f64 z (/.f64 y 2)))
(fma.f64 1/8 x (fma.f64 y (*.f64 -1/2 z) t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) y) (/.f64 (.f64 x z) 2)) t)
(+.f64 t (-.f64 (*.f64 1/8 y) (/.f64 x (/.f64 2 z))))
(+.f64 t (-.f64 (.f64 1/8 y) (.f64 (/.f64 x 2) z)))
(fma.f64 1/8 y (fma.f64 -1 (*.f64 z (/.f64 x 2)) t))
(-.f64 (fma.f64 1/8 y t) (/.f64 z (/.f64 2 x)))
(fma.f64 1/8 y (fma.f64 z (*.f64 -1/2 x) t))
(fma.f64 1/8 y (fma.f64 x (*.f64 z -1/2) t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) z) (/.f64 (.f64 y x) 2)) t)
(+.f64 t (-.f64 (.f64 1/8 z) (/.f64 (.f64 x y) 2)))
(+.f64 t (-.f64 (.f64 1/8 z) (.f64 (/.f64 y 2) x)))
(fma.f64 1/8 z (fma.f64 -1 (*.f64 x (/.f64 y 2)) t))
(-.f64 (fma.f64 1/8 z t) (*.f64 x (/.f64 y 2)))
(fma.f64 1/8 z (fma.f64 x (*.f64 -1/2 y) t))
(fma.f64 1/8 z (fma.f64 x (*.f64 y -1/2) t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) t) (/.f64 (.f64 y z) 2)) x)
(+.f64 x (-.f64 (.f64 1/8 t) (/.f64 (.f64 y z) 2)))
(fma.f64 1/8 t (fma.f64 -1 (/.f64 y (/.f64 2 z)) x))
(-.f64 (fma.f64 1/8 t x) (*.f64 z (/.f64 y 2)))
(fma.f64 1/8 t (fma.f64 y (*.f64 -1/2 z) x))
(fma.f64 1/8 t (fma.f64 y (*.f64 z -1/2) x))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 z y) 2)) t)
(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
(fma.f64 1/8 x (fma.f64 -1 (/.f64 y (/.f64 2 z)) t))
(-.f64 (fma.f64 1/8 x t) (*.f64 z (/.f64 y 2)))
(fma.f64 1/8 x (fma.f64 y (*.f64 -1/2 z) t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 t z) 2)) y)
(+.f64 y (-.f64 (*.f64 1/8 x) (/.f64 t (/.f64 2 z))))
(+.f64 y (-.f64 (*.f64 1/8 x) (/.f64 z (/.f64 2 t))))
(fma.f64 1/8 x (fma.f64 -1 (/.f64 t (/.f64 2 z)) y))
(fma.f64 (/.f64 t 2) (neg.f64 z) (fma.f64 1/8 x y))
(fma.f64 z (*.f64 -1/2 t) (fma.f64 1/8 x y))
(fma.f64 1/8 x (fma.f64 z (*.f64 t -1/2) y))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y t) 2)) z)
(+.f64 z (-.f64 (.f64 1/8 x) (/.f64 (.f64 y t) 2)))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 t (/.f64 y 2)) z))
(-.f64 (fma.f64 1/8 x z) (*.f64 t (/.f64 y 2)))
(fma.f64 t (*.f64 -1/2 y) (fma.f64 1/8 x z))
(fma.f64 1/8 x (fma.f64 y (*.f64 t -1/2) z))

Symmetry

(sort y z)

Compiler

Compiled 21 to 17 computations (19% saved)

simplify49.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def`
312×	`associate--r+`
230×	`associate-+l-`
224×	`associate-+l+`
218×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	30	31
2	54	29
3	102	27
4	227	23
5	447	23
6	867	23
7	1483	23
8	1958	23
9	2158	23

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y 2) z)) t)
(fma.f64 1/8 x (fma.f64 -1 (*.f64 z (/.f64 y 2)) t))
(-.f64 (fma.f64 1/8 x t) (/.f64 (*.f64 y z) 2))
(fma.f64 z (*.f64 -1/2 y) (fma.f64 1/8 x t))
(fma.f64 1/8 x (fma.f64 -1/2 (*.f64 y z) t))
(fma.f64 1/8 x (fma.f64 (*.f64 y z) -1/2 t))

eval2.0ms (0.1%)

Compiler: Compiled 87 to 52 computations (40.2% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	8	1	9

Accurracy

100.0%

Counts

9 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y 2) z)) t)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.6%)

Compiler: Compiled 41 to 26 computations (36.6% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accurracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y 2) z)) t)

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes30.0ms (1.1%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y 2) z)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Outputs
(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y 2) z)) t)

Calls

9 calls:

8.0ms	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
3.0ms	y
3.0ms	(*.f64 y z)
3.0ms	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
3.0ms	(/.f64 (*.f64 y z) 2)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)`
100.0%	1	`(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))`
100.0%	1	`(*.f64 (/.f64 1 8) x)`
100.0%	1	`(/.f64 (*.f64 y z) 2)`
100.0%	1	`(*.f64 y z)`

Compiler

Compiled 105 to 81 computations (22.9% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
14×	`*-commutative`
8×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	22	31
2	36	31
3	44	31
4	50	31
5	52	31

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y 2) z)) t)

Outputs
(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y 2) z)) t)

Compiler

Compiled 15 to 11 computations (26.7% saved)

soundness141.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def`
312×	`associate--r+`
230×	`associate-+l-`
224×	`associate-+l+`
218×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	30	31
2	54	29
3	102	27
4	227	23
5	447	23
6	867	23
7	1483	23
8	1958	23
9	2158	23

Stop Event

1×

saturated

Compiler

Compiled 239 to 165 computations (31% saved)

end35.0ms (1.3%)

Remove: (sort y z)
Compiler: Compiled 45 to 33 computations (26.7% saved)

Details

analyze344.0ms (12.5%)

sample1.9s (68.3%)

preprocess249.0ms (9%)

simplify49.0ms (1.8%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize16.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes30.0ms (1.1%)

simplify5.0ms (0.2%)

soundness141.0ms (5.1%)

end35.0ms (1.3%)

Profiling