Metrics for exp neg sub

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample974.0ms (57.5%)

Results

495.0ms	4199×	256	infinite
413.0ms	4056×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

Operation ival-exp, time spent: 88.0ms, 32.0% of total-time

Operation ival-mult, time spent: 76.0ms, 28.0% of total-time

Operation ival-sub, time spent: 54.0ms, 20.0% of total-time

Operation ival-neg, time spent: 43.0ms, 16.0% of total-time

Operation const, time spent: 14.0ms, 5.0% of total-time

Bogosity

preprocess363.0ms (21.4%)

Algorithm

1×	egg-herbie

Rules

1898×	`exp-sum`
1556×	`fma-neg`
940×	`fma-define`
822×	`associate-+r+`
682×	`distribute-lft-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
-	-	`x`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
-	-	`(*.f64 x x)`
-	-	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
-	-	`#s(literal 1 binary64)`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	112
1	46	96
2	92	96
3	178	80
4	325	80
5	500	80
6	750	80
7	1167	80
8	2054	80
9	3725	80
10	7422	80

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))))

Outputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))))
(neg.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))))
(neg.f64 (exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(neg.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))

Symmetry

(abs x)

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

Operation ival-sub, time spent: 146.0ms, 90.0% of total-time

Operation ival-exp, time spent: 5.0ms, 3.0% of total-time

Operation ival-neg, time spent: 5.0ms, 3.0% of total-time

Operation ival-mult, time spent: 4.0ms, 2.0% of total-time

Operation const, time spent: 2.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize36.0ms (2.1%)

Compiler: Compiled 18 to 9 computations (50% saved)
Precisions: Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-add, time spent: 3.0ms, 35.0% of total-time
Operation ival-exp, time spent: 3.0ms, 35.0% of total-time
Operation ival-mult, time spent: 2.0ms, 23.0% of total-time
Operation const, time spent: 1.0ms, 12.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 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

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes14.0ms (0.8%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Calls

5 calls:

6.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	11	23

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Outputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness278.0ms (16.4%)

Rules

1898×	`exp-sum`
1556×	`fma-neg`
940×	`fma-define`
822×	`associate-+r+`
682×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	112
1	46	96
2	92	96
3	178	80
4	325	80
5	500	80
6	750	80
7	1167	80
8	2054	80
9	3725	80
10	7422	80

Stop Event

1×	node limit

Compiler

Compiled 58 to 32 computations (44.8% saved)

end0.0ms (0%)

preprocess24.0ms (1.4%)

Remove: (abs x)
Compiler: Compiled 58 to 42 computations (27.6% saved)

analyze0.0ms (0%)

sample974.0ms (57.5%)

preprocess363.0ms (21.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize36.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes14.0ms (0.8%)

simplify2.0ms (0.1%)

soundness278.0ms (16.4%)

end0.0ms (0%)

preprocess24.0ms (1.4%)

Profiling