Metrics for Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

start0.0ms (0%)

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

analyze2.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB 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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample536.0ms (52.6%)

Memory

-10.4MiB live, 634.0MiB allocated; 121ms collecting garbage

Samples

342.0ms	8 256×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-sqrt: 63.0ms (44.5% of total)

ival-mult!: 55.0ms (38.9% of total)

ival-sub!: 22.0ms (15.6% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

explain68.0ms (6.7%)

Memory

26.8MiB live, 78.8MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

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

19.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sqrt: 4.0ms (47.8% of total)

ival-mult!: 3.0ms (35.9% of total)

ival-sub!: 1.0ms (12% of total)

adjust: 0.0ms (0% of total)

preprocess78.0ms (7.7%)

Memory

-44.2MiB live, 51.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	26	19
2	52	19
3	76	19
4	135	19
5	342	19
6	2414	19
7	5901	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series3.0ms (0.3%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

5 → 18

Calls

Call 1

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

Outputs
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))

Calls

3 calls:

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

rewrite55.0ms (5.4%)

Memory

9.5MiB live, 56.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	370
0	90	305
0	422	296

Stop Event

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

Counts

23 → 34

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))

Outputs
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(sin.f64 (acos.f64 x))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(cos.f64 (asin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (* x x)) #s(literal 1 binary64))
#s(approx (- 1 (* x x)) (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (sqrt (- 1 (* x x))) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (- 1 (* x x))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (- 1 (* x x))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) x))
#s(approx (sqrt (- 1 (* x x))) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) x))
#s(approx (- 1 (* x x)) (.f64 #s(literal -1 binary64) (.f64 x x)))
#s(approx (- 1 (* x x)) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (sqrt (- 1 (* x x))) (.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (sqrt (- 1 (* x x))) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))

eval3.0ms (0.3%)

Memory: 6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 531 to 128 computations (75.9% saved)

prune6.0ms (0.6%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	1	37

Accuracy

100.0%

Counts

37 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x))))))

Status

Accuracy

Program

▶

100.0%

(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series6.0ms (0.5%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

11 → 34

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x x))

Outputs
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (* x x) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* x x) 3)) #s(hole binary64 (+ 1 (* -1 (pow x 6)))))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (pow x 2)))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (- 1 (pow (* x x) 3)) #s(hole binary64 (* -1 (pow x 6))))
#s(approx (- 1 (pow (* x x) 3)) #s(hole binary64 (* (pow x 6) (- (/ 1 (pow x 6)) 1))))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (pow x 4)))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) #s(hole binary64 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) (- 1 (pow (* x x) 3)) 1 (pow (* x x) 3) (* x x) x 3 (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (+ (* (* x x) (* x x)) (* 1 (* x x))) (* 1 (* x x)))
2.0ms	x	@	-inf	((sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) (- 1 (pow (* x x) 3)) 1 (pow (* x x) 3) (* x x) x 3 (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (+ (* (* x x) (* x x)) (* 1 (* x x))) (* 1 (* x x)))
1.0ms	x	@	0	((sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) (- 1 (pow (* x x) 3)) 1 (pow (* x x) 3) (* x x) x 3 (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (+ (* (* x x) (* x x)) (* 1 (* x x))) (* 1 (* x x)))

Time

Variable

Point

Expression

2.0ms

inf

((sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) (- 1 (pow (* x x) 3)) 1 (pow (* x x) 3) (* x x) x 3 (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (+ (* (* x x) (* x x)) (* 1 (* x x))) (* 1 (* x x)))

2.0ms

-inf

((sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) (- 1 (pow (* x x) 3)) 1 (pow (* x x) 3) (* x x) x 3 (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (+ (* (* x x) (* x x)) (* 1 (* x x))) (* 1 (* x x)))

1.0ms

((sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) (- 1 (pow (* x x) 3)) 1 (pow (* x x) 3) (* x x) x 3 (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (+ (* (* x x) (* x x)) (* 1 (* x x))) (* 1 (* x x)))

rewrite64.0ms (6.3%)

Memory

0.5MiB live, 49.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1010
0	142	763
0	680	721

Stop Event

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

Counts

45 → 99

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (- 1 (pow (* x x) 3)) #s(hole binary64 1))
#s(approx (- 1 (pow (* x x) 3)) #s(hole binary64 (+ 1 (* -1 (pow x 6)))))
#s(approx (pow (* x x) 3) #s(hole binary64 (pow x 6)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 1))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) #s(hole binary64 (* (pow x 2) (+ 1 (pow x 2)))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (- 1 (pow (* x x) 3)) #s(hole binary64 (* -1 (pow x 6))))
#s(approx (- 1 (pow (* x x) 3)) #s(hole binary64 (* (pow x 6) (- (/ 1 (pow x 6)) 1))))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (pow x 4)))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) #s(hole binary64 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))

Outputs
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 3 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 x x))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (pow.f64 (.f64 x x) #s(literal 2 binary64))) (pow.f64 (.f64 x x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (pow.f64 (.f64 x x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (pow.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x x) x) x (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 x x) (.f64 x x) (*.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 x (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 x x (pow.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (pow.f64 (.f64 x x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (*.f64 x x)))
(+.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) #s(literal 1 binary64))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (pow (* x x) 3)) #s(literal 1 binary64))
#s(approx (- 1 (pow (* x x) 3)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
#s(approx (pow (* x x) 3) (pow.f64 x #s(literal 6 binary64)))
#s(approx (* 1 (* x x)) (*.f64 x x))
#s(approx x x)
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) #s(literal 1 binary64))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) (*.f64 x x))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* 1 (* x x)) (*.f64 x x))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) x))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x x) #s(literal 2 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) x))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) (.f64 #s(literal -1 binary64) (.f64 x x)))
#s(approx (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x))))) (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1 (pow (* x x) 3)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- 1 (pow (* x x) 3)) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (.f64 x x) #s(literal 2 binary64))))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (* x x) (* x x)) (* 1 (* x x))) (.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 2 binary64))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x x) #s(literal 2 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (sqrt (/ (- 1 (pow (* x x) 3)) (+ 1 (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))

eval18.0ms (1.8%)

Memory: -22.0MiB live, 25.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 713 to 532 computations (85.7% saved)

prune149.0ms (14.6%)

Memory

6.4MiB live, 151.5MiB allocated; 27ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	1	136

Accuracy

100.0%

Counts

136 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x))))))

Status

Accuracy

Program

✓

100.0%

(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))

Compiler

Compiled 52 to 24 computations (53.8% saved)

regimes4.0ms (0.4%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))

Outputs

(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.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	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes3.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.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	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

derivations5.0ms (0.5%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 29 to 13 computations (55.2% saved)

preprocess18.0ms (1.8%)

Memory: -20.8MiB live, 27.5MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 128 to 68 computations (46.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.2%)

sample536.0ms (52.6%)

explain68.0ms (6.7%)

preprocess78.0ms (7.7%)

series3.0ms (0.3%)

rewrite55.0ms (5.4%)

eval3.0ms (0.3%)

prune6.0ms (0.6%)

series6.0ms (0.5%)

rewrite64.0ms (6.3%)

eval18.0ms (1.8%)

prune149.0ms (14.6%)

regimes4.0ms (0.4%)

regimes3.0ms (0.3%)

derivations5.0ms (0.5%)

preprocess18.0ms (1.8%)

end0.0ms (0%)

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