Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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)

sample544.0ms (14.4%)

Memory

-32.0MiB live, 545.3MiB allocated; 162ms collecting garbage

Samples

351.0ms	8 255×	0	valid
1.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-add!: 94.0ms (59.3% of total)

ival-mult!: 63.0ms (39.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess81.0ms (2.1%)

Memory

-12.4MiB live, 36.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	59	42
2	184	42
3	364	42
4	473	42
5	685	42
6	4116	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)

Symmetry

(sort x y)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series109.0ms (2.9%)

Memory

33.5MiB live, 78.5MiB allocated; 12ms collecting garbage

Counts

5 → 16

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (*.f64 x y) x)
(*.f64 x y)
x
y

Outputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* x y) x) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x y) x) (+.f64 x (*.f64 x y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))))
#s(approx (+ (* x y) x) (*.f64 y (+.f64 x (/.f64 x y))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
#s(approx (+ (* x y) x) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x y))))))

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	0
1.0ms	y	-inf
1.0ms	x	inf
1.0ms	y	0

rewrite163.0ms (4.3%)

Memory

-5.8MiB live, 131.1MiB allocated; 68ms collecting garbage

Counts

5 → 15

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (*.f64 x y) x)
(*.f64 x y)
x
y

Outputs
(+.f64 (fma.f64 x y x) y)
(+.f64 (*.f64 x y) (+.f64 x y))
(+.f64 y (fma.f64 x y x))
(-.f64 (fma.f64 x y x) (neg.f64 y))
(fma.f64 x y (+.f64 x y))
(fma.f64 y x (+.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 x (*.f64 x y))
(-.f64 (*.f64 x y) (neg.f64 x))
(fma.f64 x y x)
(fma.f64 y x x)
(*.f64 x y)
(*.f64 y x)
x
y

eval2.0ms (0.1%)

Memory: 4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 319 to 87 computations (72.7% saved)

prune2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	3	28

Accuracy

100.0%

Counts

28 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (+.f64 x y))
▶	61.7%	#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
▶	34.2%	#s(approx (+ (+ (* x y) x) y) y)

Compiler

Compiled 28 to 19 computations (32.1% saved)

series147.0ms (3.9%)

Memory

3.4MiB live, 136.7MiB allocated; 55ms collecting garbage

Counts

9 → 24

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) y)
y
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 y x (+.f64 x y))
(+.f64 x y)

Outputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y))))
#s(approx (* y (+ 1 x)) (+.f64 y (*.f64 x y)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (+ x y) (+.f64 x y))
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x)))))
#s(approx (* y (+ 1 x)) (*.f64 x y))
#s(approx (* y (+ 1 x)) (*.f64 x (+.f64 y (/.f64 y x))))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64)))))
#s(approx (* y (+ 1 x)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x))))
#s(approx (* y (+ 1 x)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
2.0ms	y	0
2.0ms	y	-inf
2.0ms	x	-inf
2.0ms	y	inf
1.0ms	x	inf

rewrite229.0ms (6.1%)

Memory

4.4MiB live, 191.4MiB allocated; 97ms collecting garbage

Counts

9 → 27

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) y)
y
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 y x (+.f64 x y))
(+.f64 x y)

Outputs
#s(approx (+ (+ (* x y) x) y) y)
y
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 x y))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 x y))
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
x
(+.f64 (*.f64 x y) (+.f64 x y))
(+.f64 (fma.f64 x y x) y)
(+.f64 (+.f64 x y) (*.f64 x y))
(+.f64 y (fma.f64 x y x))
(-.f64 (fma.f64 x y x) (neg.f64 y))
(-.f64 (*.f64 x y) (neg.f64 (+.f64 x y)))
(fma.f64 y x (+.f64 x y))
(fma.f64 x y (+.f64 x y))
(+.f64 x y)
(+.f64 y x)
(-.f64 x (neg.f64 y))

eval4.0ms (0.1%)

Memory: 11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 595 to 148 computations (75.1% saved)

prune3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	40	5	45

Accuracy

100.0%

Counts

45 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (+.f64 x y))
✓	61.7%	#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
▶	67.1%	#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
▶	30.0%	#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
✓	34.2%	#s(approx (+ (+ (* x y) x) y) y)

Compiler

Compiled 58 to 39 computations (32.8% saved)

series120.0ms (3.2%)

Memory

-32.1MiB live, 111.7MiB allocated; 25ms collecting garbage

Counts

9 → 22

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (* y (+ 1 x)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

Outputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y))))
#s(approx (* y (+ 1 x)) (+.f64 y (*.f64 x y)))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (* x (+ 1 y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x)))))
#s(approx (* y (+ 1 x)) (*.f64 x (+.f64 y (/.f64 y x))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64)))))
#s(approx (* y (+ 1 x)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
#s(approx (+ (+ (* x y) x) y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x))))
#s(approx (* y (+ 1 x)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
#s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y)))
#s(approx (+ 1 y) #s(literal 1 binary64))
#s(approx (+ 1 y) (+.f64 #s(literal 1 binary64) y))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))))
#s(approx (* x (+ 1 y)) (*.f64 y (+.f64 x (/.f64 x y))))
#s(approx (+ 1 y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
#s(approx (* x (+ 1 y)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x y))))))

Calls

6 calls:

Time	Variable	Point
7.0ms	y	-inf
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	inf
1.0ms	x	0

rewrite1.8s (48.6%)

Memory

-1.0MiB live, 221.6MiB allocated; 2.5s collecting garbage

Counts

9 → 19

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (* y (+ 1 x)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

Outputs
#s(approx (+ (* x y) (+ x y)) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (* y (+ 1 x)) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (+ (* x y) (+ x y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 x y))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x y))
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))

eval27.0ms (0.7%)

Memory: -200.2MiB live, 14.8MiB allocated; 26ms collecting garbage
Compiler: Compiled 593 to 134 computations (77.4% saved)

prune4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	32	7	39

Accuracy

100.0%

Counts

39 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (+.f64 x y))
✓	61.7%	#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
✓	67.1%	#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
▶	39.9%	#s(approx (+ (+ (* x y) x) y) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
✓	30.0%	#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
▶	67.0%	#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y))))
✓	34.2%	#s(approx (+ (+ (* x y) x) y) y)

Compiler

Compiled 92 to 62 computations (32.6% saved)

series134.0ms (3.5%)

Memory

6.5MiB live, 138.9MiB allocated; 51ms collecting garbage

Counts

10 → 19

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y))))
#s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y)))
(+.f64 x (*.f64 x y))
x
(*.f64 x y)
y
#s(approx (+ (+ (* x y) x) y) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64)))
#s(approx (+ 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y))))
#s(approx (* x (+ 1 y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx x x)
#s(approx (* x y) (*.f64 x y))
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x))))
#s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y)))
#s(approx (+ 1 y) #s(literal 1 binary64))
#s(approx (+ 1 y) (+.f64 #s(literal 1 binary64) y))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))))
#s(approx (* x (+ 1 y)) (*.f64 y (+.f64 x (/.f64 x y))))
#s(approx (+ 1 y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x y) x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))))
#s(approx (* x (+ 1 y)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x y))))))

Calls

6 calls:

Time	Variable	Point
2.0ms	x	-inf
1.0ms	y	-inf
1.0ms	x	inf
1.0ms	y	inf
1.0ms	x	0

rewrite185.0ms (4.9%)

Memory

17.7MiB live, 250.2MiB allocated; 59ms collecting garbage

Counts

10 → 19

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y))))
#s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y)))
(+.f64 x (*.f64 x y))
x
(*.f64 x y)
y
#s(approx (+ (+ (* x y) x) y) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64)))
#s(approx (+ 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (+ (* x y) (+ x y)) #s(approx (* x (+ 1 y)) (fma.f64 x y x)))
#s(approx (* x (+ 1 y)) (fma.f64 x y x))
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(-.f64 (*.f64 x y) (neg.f64 x))
(-.f64 x (neg.f64 (*.f64 x y)))
(-.f64 x (*.f64 (neg.f64 x) y))
(fma.f64 x y x)
(fma.f64 y x x)
x
(*.f64 x y)
(*.f64 y x)
y
#s(approx (+ (* x y) (+ x y)) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64)))
#s(approx (+ 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))

eval3.0ms (0.1%)

Memory: 8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 526 to 120 computations (77.2% saved)

prune2.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	1	1	2
Done	1	4	5
Total	29	6	35

Accuracy

100.0%

Counts

35 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (+.f64 x y))
✓	61.7%	#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
✓	39.9%	#s(approx (+ (+ (* x y) x) y) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
✓	30.0%	#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
	67.1%	#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (fma.f64 y x x)))
✓	34.2%	#s(approx (+ (+ (* x y) x) y) y)

Compiler

Compiled 78 to 52 computations (33.3% saved)

regimes44.0ms (1.2%)

Memory

14.6MiB live, 110.9MiB allocated; 13ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 3

3 → 4

6 → 3

7 → 2

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) y)

Outputs
#s(approx (+ (+ (* x y) x) y) y)

Call 2

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))

Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))

Call 3

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))

Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))

Call 4

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (fma.f64 y x x)))
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y))))
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) y)))

Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (fma.f64 y x x)))
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))

Call 5

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (fma.f64 y x x)))
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y))))
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))

Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (fma.f64 y x x)))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))

Call 6

Inputs
#s(approx (+ (+ (* x y) x) y) y)
#s(approx (+ (+ (* x y) x) y) #s(approx (* y (+ 1 x)) (*.f64 x y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 x #s(approx (+ 1 y) #s(literal 1 binary64))))
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (fma.f64 y x x)))
#s(approx (+ (+ (* x y) x) y) #s(approx (* x (+ 1 y)) (+.f64 x (*.f64 x y))))
#s(approx (+ (+ (* x y) x) y) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (+ (+ (* x y) x) y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 y x (+.f64 x y))
(+.f64 (+.f64 (*.f64 x y) x) y)

Outputs
(fma.f64 y x (+.f64 x y))

Calls

17 calls:

8.0ms	x
4.0ms	y
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	y
3.0ms	y

Results

Accuracy	Segments	Branch
34.2%	1	`y`
34.2%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
34.2%	1	`x`
61.2%	3	`x`
45.5%	4	`y`
54.8%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`
70.9%	3	`x`
84.7%	4	`(+.f64 (+.f64 (*.f64 x y) x) y)`
91.6%	3	`x`
76.3%	4	`y`
91.8%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`
98.5%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`
91.9%	2	`x`
92.6%	2	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 170 to 86 computations (49.4% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.4996119752201456e-256	1.0583779305591038e-230

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0141923922850636e+295	1.945132122371466e+295
0.0ms	-2.4996119752201456e-256	1.0583779305591038e-230

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch2.0ms (0%)

Memory

-45.7MiB live, 1.2MiB allocated; 1ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0141923922850636e+295	1.945132122371466e+295
1.0ms	-2.4996119752201456e-256	1.0583779305591038e-230
0.0ms	-inf	-4.3171166801280837e+303

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch21.0ms (0.5%)

Memory

11.2MiB live, 57.5MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0019541819979708233	466132484841374.2
7.0ms	-0.052793674873869295	-0.0017353140907320854

Samples

8.0ms

272×

valid

Compiler

Compiled 452 to 333 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult!: 2.0ms (72% of total)

ival-add!: 1.0ms (36% of total)

adjust: 0.0ms (0% of total)

derivations2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 259 to 44 computations (83% saved)

preprocess114.0ms (3%)

Memory: 10.3MiB live, 198.4MiB allocated; 27ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 784 to 253 computations (67.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample544.0ms (14.4%)

preprocess81.0ms (2.1%)

series109.0ms (2.9%)

rewrite163.0ms (4.3%)

eval2.0ms (0.1%)

prune2.0ms (0%)

series147.0ms (3.9%)

rewrite229.0ms (6.1%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

series120.0ms (3.2%)

rewrite1.8s (48.6%)

eval27.0ms (0.7%)

prune4.0ms (0.1%)

series134.0ms (3.5%)

rewrite185.0ms (4.9%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

regimes44.0ms (1.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch21.0ms (0.5%)

derivations2.0ms (0%)

preprocess114.0ms (3%)

end0.0ms (0%)

Profiling