Metrics for Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.3MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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 8 computations (11.1% saved)

sample490.0ms (56.5%)

Memory

21.4MiB live, 781.5MiB allocated; 116ms collecting garbage

Samples

292.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult!: 112.0ms (83.9% of total)

ival-sub!: 19.0ms (14.2% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

explain84.0ms (9.7%)

Memory

-15.6MiB live, 134.1MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 (.f64 x x) #s(literal 2 binary64))`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

39.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 5.0ms (80.4% of total)

ival-sub!: 1.0ms (16.1% of total)

adjust: 0.0ms (0% of total)

preprocess53.0ms (6.1%)

Memory

-22.7MiB live, 22.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	29	22
2	83	22
3	237	22
4	757	21
5	3878	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series3.0ms (0.3%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

6 → 7

Calls

Call 1

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

Outputs
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))

Calls

3 calls:

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

rewrite84.0ms (9.7%)

Memory

35.1MiB live, 131.8MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	95
0	26	93
1	97	93
0	538	87

Stop Event

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

Counts

13 → 88

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (+.f64 x x) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 x x (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))
(+.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) x) x))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 x (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 x x))
(.f64 x (.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x x (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.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))))
x
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64)))
#s(approx (* (* x x) 2) (.f64 (.f64 #s(literal 2 binary64) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))) x) x))

eval15.0ms (1.7%)

Memory: -27.1MiB live, 20.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 931 to 212 computations (77.2% saved)

prune3.0ms (0.3%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	3	85

Accuracy

100.0%

Counts

85 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
▶	51.0%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
▶	48.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 28 to 23 computations (17.9% saved)

series3.0ms (0.4%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

8 → 11

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))

Outputs
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (* (* 2 x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 2 x) x) -1) #s(hole binary64 -1))
#s(approx (+ (* (* 2 x) x) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))
#s(approx (+ (* (* 2 x) x) -1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (* 2 x) x) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((- (* (* x x) 2) 1) -1 (- (* (* x x) 2) 1) (* (* 2 x) x) (* 2 x) 2 x (+ (* (* 2 x) x) -1))

1.0ms

((- (* (* x x) 2) 1) -1 (- (* (* x x) 2) 1) (* (* 2 x) x) (* 2 x) 2 x (+ (* (* 2 x) x) -1))

1.0ms

inf

((- (* (* x x) 2) 1) -1 (- (* (* x x) 2) 1) (* (* 2 x) x) (* 2 x) 2 x (+ (* (* 2 x) x) -1))

rewrite48.0ms (5.5%)

Memory

5.7MiB live, 53.1MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	168
0	34	168
1	124	156
0	679	156

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

19 → 106

Calls

Call 1

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

Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 x (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x x (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 x x)
#s(literal 2 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 x x (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) x))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64)))
#s(approx (* (* 2 x) x) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64)))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))) x) x))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))) x) x))

eval21.0ms (2.5%)

Memory: -24.5MiB live, 33.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 1 459 to 237 computations (83.8% saved)

prune4.0ms (0.4%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	105	3	108

Accuracy

100.0%

Counts

108 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
✓	51.0%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
✓	48.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 63 to 40 computations (36.5% saved)

regimes7.0ms (0.8%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))

Calls

4 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
100.0%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (1.2%)

Memory

-36.3MiB live, 10.8MiB allocated; 3ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
97.4%	2	`(*.f64 x x)`
97.4%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
97.4%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
97.4%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.5%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Calls

4 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
48.1%	1	`(*.f64 x x)`
48.1%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
48.1%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
48.1%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch6.0ms (0.7%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.3041832592468975	0.8159350763665824

Samples

2.0ms

80×

valid

Compiler

Compiled 120 to 110 computations (8.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (110.2% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

derivations8.0ms (0.9%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 41 to 16 computations (61% saved)

preprocess25.0ms (2.8%)

Memory: -32.9MiB live, 60.0MiB allocated; 4ms collecting garbage
Remove: (abs x)
Compiler: Compiled 178 to 100 computations (43.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample490.0ms (56.5%)

explain84.0ms (9.7%)

preprocess53.0ms (6.1%)

series3.0ms (0.3%)

rewrite84.0ms (9.7%)

eval15.0ms (1.7%)

prune3.0ms (0.3%)

series3.0ms (0.4%)

rewrite48.0ms (5.5%)

eval21.0ms (2.5%)

prune4.0ms (0.4%)

regimes7.0ms (0.8%)

regimes10.0ms (1.2%)

regimes4.0ms (0.5%)

bsearch6.0ms (0.7%)

derivations8.0ms (0.9%)

preprocess25.0ms (2.8%)

end0.0ms (0%)

Profiling