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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample624.0ms (44.5%)

Memory

6.7MiB live, 659.5MiB allocated; 204ms collecting garbage

Samples

361.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult!: 102.0ms (64.8% of total)

ival-sub!: 54.0ms (34.3% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

explain117.0ms (8.4%)

Memory

15.1MiB live, 115.5MiB allocated; 22ms 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

58.0ms

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 (81.2% of total)

ival-sub!: 1.0ms (16.2% of total)

adjust: 0.0ms (0% of total)

preprocess60.0ms (4.2%)

Memory

-34.2MiB live, 50.9MiB allocated; 17ms 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 (0.2%)

Memory

6.2MiB live, 6.2MiB 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)

rewrite87.0ms (6.2%)

Memory

27.4MiB live, 129.6MiB allocated; 15ms 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 (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (+.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (.f64 x (+.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 x (+.f64 x x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (.f64 x (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 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 x (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 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 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (fma.f64 x (+.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (.f64 x (+.f64 x x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 binary64)))))
(-.f64 (*.f64 x (+.f64 x x)) #s(literal 1 binary64))
(+.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 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 x (+.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 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 x (+.f64 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 x (+.f64 x x) #s(literal -1 binary64)))
#s(approx (* (* x x) 2) (*.f64 x (+.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x)))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))

eval30.0ms (2.2%)

Memory: -28.7MiB live, 17.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 965 to 211 computations (78.1% saved)

prune3.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB 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 x (+.f64 x x) #s(literal -1 binary64))
▶	51.0%	#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x)))
▶	48.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 28 to 21 computations (25% saved)

series3.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

7 → 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 x (+.f64 x x)))
(*.f64 x (+.f64 x x))
x
(+.f64 x x)
(fma.f64 x (+.f64 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 (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 -1))
#s(approx (+ (* x (+ 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 (+ (* x (+ x x)) -1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* x (+ 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) (* x (+ x x)) x (+ x x) (+ (* x (+ x x)) -1))
1.0ms	x	@	0	((- (* (* x x) 2) 1) -1 (- (* (* x x) 2) 1) (* x (+ x x)) x (+ x x) (+ (* x (+ x x)) -1))
1.0ms	x	@	inf	((- (* (* x x) 2) 1) -1 (- (* (* x x) 2) 1) (* x (+ x x)) x (+ x x) (+ (* x (+ x x)) -1))

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite128.0ms (9.1%)

Memory

16.9MiB live, 109.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	167
0	36	169
1	133	52
0	982	52

Stop Event

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

Counts

18 → 18

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

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

eval1.0ms (0.1%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 134 to 35 computations (73.9% saved)

prune2.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	11	5	16

Accuracy

100.0%

Counts

16 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x (+.f64 x x) #s(literal -1 binary64))
✓	51.0%	#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x)))
▶	3.0%	#s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64)))
✓	48.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
▶	3.0%	#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64))

Compiler

Compiled 52 to 39 computations (25% saved)

series2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

5 → 9

Calls

Call 1

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

Outputs
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 -1))
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#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 x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))
#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 x)) -1) 1 (- (* (* x x) 2) 1) (* x (+ x x)) 2)
1.0ms	x	@	-inf	((+ (* x (+ x x)) -1) 1 (- (* (* x x) 2) 1) (* x (+ x x)) 2)
0.0ms	x	@	0	((+ (* x (+ x x)) -1) 1 (- (* (* x x) 2) 1) (* x (+ x x)) 2)

rewrite90.0ms (6.4%)

Memory

-4.9MiB live, 134.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	156
0	28	136
1	126	48
0	991	48

Stop Event

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

Counts

14 → 14

Calls

Call 1

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

eval1.0ms (0%)

Memory: 1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 46 to 15 computations (67.4% saved)

prune2.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	4	5	9

Accuracy

100.0%

Counts

9 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x (+.f64 x x) #s(literal -1 binary64))
✓	51.0%	#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x)))
✓	3.0%	#s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64)))
✓	48.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
✓	3.0%	#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64))

Compiler

Compiled 111 to 63 computations (43.2% saved)

regimes154.0ms (11%)

Memory

-32.7MiB live, 29.1MiB allocated; 156ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

148.0ms	x
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(*.f64 x x)
2.0ms	(-.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)

regimes7.0ms (0.5%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

regimes21.0ms (1.5%)

Memory

-41.6MiB live, 15.5MiB allocated; 16ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	x
2.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
49.8%	2	`(*.f64 x x)`
49.8%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
49.8%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
49.8%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.3%)

Memory

11.9MiB live, 11.9MiB 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 x)) -1) #s(literal 1 binary64))

Outputs
#s(approx (+ (* x (+ x x)) -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
3.0%	1	`(*.f64 x x)`
3.0%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
3.0%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
3.0%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch6.0ms (0.4%)

Memory

15.7MiB live, 15.7MiB 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 105 computations (12.5% saved)

Precisions

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

ival-mult!: 1.0ms (110% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.3041832592468975	0.8159350763665824

Compiler

Compiled 100 to 95 computations (5% saved)

derivations19.0ms (1.4%)

Memory

-1.2MiB live, 46.6MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 63 to 22 computations (65.1% saved)

preprocess39.0ms (2.8%)

Memory: -10.9MiB live, 84.7MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 266 to 140 computations (47.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample624.0ms (44.5%)

explain117.0ms (8.4%)

preprocess60.0ms (4.2%)

series3.0ms (0.2%)

rewrite87.0ms (6.2%)

eval30.0ms (2.2%)

prune3.0ms (0.2%)

series3.0ms (0.2%)

rewrite128.0ms (9.1%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

series2.0ms (0.1%)

rewrite90.0ms (6.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes154.0ms (11%)

regimes7.0ms (0.5%)

regimes21.0ms (1.5%)

regimes4.0ms (0.3%)

bsearch6.0ms (0.4%)

bsearch1.0ms (0%)

derivations19.0ms (1.4%)

preprocess39.0ms (2.8%)

end0.0ms (0%)

Profiling