Metrics for expax (section 3.5)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (81.5%)

Results

390.0ms	1143×	body	2048	valid
281.0ms	1377×	body	1024	valid
249.0ms	2836×	body	256	valid
155.0ms	1996×	body	256	infinite
122.0ms	904×	body	512	valid

Bogosity

preprocess69.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1164×	`distribute-lft-in`
1114×	`distribute-rgt-in`
862×	`fma-neg`
760×	`associate-/r*`
752×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	46	52
2	75	52
3	149	52
4	329	52
5	857	52
6	2804	52
7	7845	52

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1)
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1)
(-.f64 (exp.f64 (*.f64 x a)) 1)

Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1)
(expm1.f64 (*.f64 a (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1)
(expm1.f64 (*.f64 a (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 x a)) 1)
(expm1.f64 (*.f64 a x))

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify46.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-neg`
880×	`unswap-sqr`
836×	`cancel-sign-sub-inv`
760×	`*-commutative`
684×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	25	11
3	38	11
4	73	11
5	178	11
6	570	11
7	2405	11
8	5838	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)

Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))

eval0.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (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

Accurracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 (*.f64 a x))
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize25.0ms (1.7%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

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%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes12.0ms (0.8%)

Accuracy

Total -23.2b remaining (-∞%)

Threshold costs -23.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)

Outputs
(expm1.f64 (*.f64 a x))

Calls

5 calls:

3.0ms	a
3.0ms	x
2.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`x`
100.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
100.0%	1	`(exp.f64 (*.f64 a x))`
100.0%	1	`(*.f64 a x)`

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))

Outputs
(expm1.f64 (*.f64 a x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness80.0ms (5.4%)

Rules

1090×	`fma-neg`
880×	`unswap-sqr`
836×	`cancel-sign-sub-inv`
760×	`*-commutative`
684×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	25	11
3	38	11
4	73	11
5	178	11
6	570	11
7	2405	11
8	5838	11

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess35.0ms (2.4%)

Remove: (sort a x)
Compiler: Compiled 108 to 68 computations (37% saved)

analyze0.0ms (0%)

sample1.2s (81.5%)

preprocess69.0ms (4.7%)

simplify46.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize25.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes12.0ms (0.8%)

simplify4.0ms (0.2%)

soundness80.0ms (5.4%)

end0.0ms (0%)

preprocess35.0ms (2.4%)

Profiling