Metrics for Numeric.SpecFunctions:$slogFactorial from math-functions-0.1.5.2, A

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample765.0ms (61.2%)

Memory

-38.6MiB live, 886.2MiB allocated; 359ms collecting garbage

Samples

512.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-mult!: 200.0ms (71.6% of total)

ival-div!: 78.0ms (27.9% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess92.0ms (7.3%)

Memory

0.3MiB live, 46.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	38	10
2	116	10
3	293	10
4	2877	10

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 8 to 8 computations (0% saved)

series8.0ms (0.6%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21

Stop Event

1×	iter-limit

Counts

4 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ 1 (* x x)) 1 (* x x) x)
1.0ms	x	@	0	((/ 1 (* x x)) 1 (* x x) x)
1.0ms	x	@	inf	((/ 1 (* x x)) 1 (* x x) x)

rewrite87.0ms (7%)

Memory

23.9MiB live, 68.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	25	8
2	111	8
0	685	8

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

4 → 104

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x)))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 x (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 x x))
(fma.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 x x (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 x x (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 x x (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 (.f64 x x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
x

eval19.0ms (1.5%)

Memory: -10.8MiB live, 34.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 474 to 203 computations (57.2% saved)

prune4.0ms (0.4%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	3	104

Accuracy

100.0%

Counts

104 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.8%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
✓	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 12 to 12 computations (0% saved)

series6.0ms (0.5%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32

Stop Event

1×	iter-limit

Counts

7 → 4

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)

Outputs
#s(approx (/ (* (/ -1 x) -1) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (/ -1 x) -1) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx x x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((/ (* (/ -1 x) -1) x) (* (/ -1 x) -1) (/ -1 x) -1 x (pow x -2) -2)
1.0ms	x	@	inf	((/ (* (/ -1 x) -1) x) (* (/ -1 x) -1) (/ -1 x) -1 x (pow x -2) -2)
1.0ms	x	@	-inf	((/ (* (/ -1 x) -1) x) (* (/ -1 x) -1) (/ -1 x) -1 x (pow x -2) -2)

Time

Variable

Point

Expression

1.0ms

((/ (* (/ -1 x) -1) x) (* (/ -1 x) -1) (/ -1 x) -1 x (pow x -2) -2)

1.0ms

inf

((/ (* (/ -1 x) -1) x) (* (/ -1 x) -1) (/ -1 x) -1 x (pow x -2) -2)

1.0ms

-inf

((/ (* (/ -1 x) -1) x) (* (/ -1 x) -1) (/ -1 x) -1 x (pow x -2) -2)

rewrite60.0ms (4.8%)

Memory

4.8MiB live, 104.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	19
1	36	15
0	185	15

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

7 → 117

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) x)) (fabs.f64 (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1 binary64)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -2 binary64) (.f64 (.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
x
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) x)) (fabs.f64 (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1 binary64)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))))
#s(literal -2 binary64)

eval13.0ms (1.1%)

Memory: -20.3MiB live, 26.9MiB allocated; 1ms collecting garbage
Compiler: Compiled 281 to 182 computations (35.2% saved)

prune4.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	75	3	78

Accuracy

100.0%

Counts

78 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 11 to 11 computations (0% saved)

series4.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21

Stop Event

1×	iter-limit

Counts

4 → 3

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
#s(approx (/ (/ 1 x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((/ (/ 1 x) x) (/ 1 x) 1 x)
1.0ms	x	@	-inf	((/ (/ 1 x) x) (/ 1 x) 1 x)
1.0ms	x	@	inf	((/ (/ 1 x) x) (/ 1 x) 1 x)

rewrite92.0ms (7.3%)

Memory

-18.9MiB live, 77.8MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	24	8
0	118	8

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

4 → 31

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x

eval4.0ms (0.3%)

Memory: 6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 99 to 69 computations (30.3% saved)

prune3.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	28	3	31

Accuracy

100.0%

Counts

31 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 24 to 23 computations (4.2% saved)

regimes17.0ms (1.4%)

Memory

-22.3MiB live, 27.1MiB allocated; 11ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 x #s(literal -2 binary64))

Outputs
(pow.f64 x #s(literal -2 binary64))

Calls

3 calls:

10.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	x
3.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.6%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.8%	1	`(*.f64 x x)`
99.8%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.8%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.4%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 x x)`
99.6%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.6%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations27.0ms (2.2%)

Memory

-14.0MiB live, 32.5MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 9 to 8 computations (11.1% saved)

preprocess30.0ms (2.4%)

Memory: 8.6MiB live, 52.4MiB allocated; 7ms collecting garbage
Remove: (abs x)
Compiler: Compiled 35 to 34 computations (2.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample765.0ms (61.2%)

preprocess92.0ms (7.3%)

series8.0ms (0.6%)

rewrite87.0ms (7%)

eval19.0ms (1.5%)

prune4.0ms (0.4%)

series6.0ms (0.5%)

rewrite60.0ms (4.8%)

eval13.0ms (1.1%)

prune4.0ms (0.3%)

series4.0ms (0.4%)

rewrite92.0ms (7.3%)

eval4.0ms (0.3%)

prune3.0ms (0.2%)

regimes17.0ms (1.4%)

regimes8.0ms (0.6%)

regimes5.0ms (0.4%)

derivations27.0ms (2.2%)

preprocess30.0ms (2.4%)

end0.0ms (0%)

Profiling