Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

start0.0ms (0%)

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

analyze8.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample809.0ms (26.9%)

Memory

37.6MiB live, 790.4MiB allocated; 185ms collecting garbage

Samples

470.0ms	8 249×	0	valid
10.0ms	259×	0	invalid
0.0ms	4×	1	valid
0.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-sub!: 110.0ms (45.7% of total)

ival-sqrt: 65.0ms (27% of total)

ival-mult!: 42.0ms (17.5% of total)

ival-add!: 22.0ms (9.1% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess101.0ms (3.4%)

Memory

-33.6MiB live, 58.5MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	51
1	79	50
2	255	49
3	642	48
4	2995	48

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series129.0ms (4.3%)

Memory

39.0MiB live, 85.4MiB allocated; 5ms collecting garbage

Counts

7 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite197.0ms (6.6%)

Memory

-15.4MiB live, 83.0MiB allocated; 34ms collecting garbage

Counts

7 → 20

Calls

Call 1

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

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

eval31.0ms (1%)

Memory: 5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 488 to 126 computations (74.2% saved)

prune8.0ms (0.3%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Accuracy

100.0%

Counts

37 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (sqrt x) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
▶	68.4%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
▶	63.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	89.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))))
▶	61.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))

Compiler

Compiled 168 to 130 computations (22.6% saved)

series133.0ms (4.4%)

Memory

11.4MiB live, 103.6MiB allocated; 17ms collecting garbage

Counts

20 → 37

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
8.0ms	y	0
4.0ms	x	-inf
3.0ms	x	inf
2.0ms	x	0
2.0ms	y	-inf

rewrite175.0ms (5.8%)

Memory

-18.0MiB live, 181.0MiB allocated; 52ms collecting garbage

Counts

20 → 47

Calls

Call 1

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

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

eval22.0ms (0.7%)

Memory: 2.4MiB live, 54.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 786 to 339 computations (81% saved)

prune11.0ms (0.4%)

Memory

-14.5MiB live, 32.8MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	100	9	109

Accuracy

100.0%

Counts

109 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (sqrt x) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
✓	68.4%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
✓	63.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	61.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
▶	89.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))))
▶	61.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 y #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) #s(literal 1 binary64))))
▶	31.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) (/.f64 (*.f64 y (sqrt.f64 x)) x))))
▶	32.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))

Compiler

Compiled 264 to 192 computations (27.3% saved)

series253.0ms (8.4%)

Memory

-16.2MiB live, 169.1MiB allocated; 84ms collecting garbage

Counts

30 → 56

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
34.0ms	x	0
12.0ms	x	inf
12.0ms	x	-inf
6.0ms	y	-inf
4.0ms	y	0

rewrite346.0ms (11.5%)

Memory

56.4MiB live, 421.2MiB allocated; 137ms collecting garbage

Counts

30 → 517

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(.f64 (.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (sqrt.f64 x)) (neg.f64 y))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (sqrt.f64 x)))
(+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(+.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x)))
(-.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) #s(literal -1 binary64))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (neg.f64 y) (neg.f64 (/.f64 x y))))
(-.f64 (.f64 y (sqrt.f64 x)) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y))
(-.f64 (.f64 y (sqrt.f64 x)) (.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) y) y)
(/.f64 (*.f64 (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) y) (neg.f64 y))
(/.f64 (*.f64 y (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (neg.f64 y))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 y) x (fma.f64 (.f64 y (sqrt.f64 x)) y y))) y) (neg.f64 (*.f64 y y)))
(/.f64 (.f64 (.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) y) y) (*.f64 y y))
(/.f64 (.f64 y (neg.f64 (fma.f64 (neg.f64 y) x (fma.f64 (.f64 y (sqrt.f64 x)) y y)))) (neg.f64 (*.f64 y y)))
(/.f64 (.f64 y (.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) y)) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) y)) (neg.f64 y))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (/.f64 x y)) y (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) y (neg.f64 x))
(fma.f64 (neg.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) y) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 (.f64 y (sqrt.f64 x)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) y) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 y (neg.f64 (/.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 y (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 y (sqrt.f64 x)))
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 y (sqrt.f64 x)))
(fma.f64 x #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) y (-.f64 (*.f64 y (sqrt.f64 x)) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) y) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(fma.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) y y) (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) y (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y))
(fma.f64 y (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) y) (.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) y (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 y #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) #s(literal 1 binary64))))
(.f64 x (-.f64 (.f64 y #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) #s(literal 1 binary64)))
(-.f64 (*.f64 y #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) #s(literal 1 binary64))
(*.f64 y #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) x)
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))

eval182.0ms (6%)

Memory: -12.3MiB live, 221.2MiB allocated; 46ms collecting garbage
Compiler: Compiled 22 626 to 3 730 computations (83.5% saved)

prune21.0ms (0.7%)

Memory

0.7MiB live, 47.7MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	844	9	853
Fresh	0	0	0
Picked	4	1	5
Done	1	3	4
Total	849	13	862

Accuracy

100.0%

Counts

862 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	68.4%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
	63.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y x)) x))
✓	63.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	32.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 (.f64 y x) y) #s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
▶	89.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y))
▶	85.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) y)))
	61.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (.f64 y #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) #s(literal 1 binary64))))
▶	31.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) (*.f64 (/.f64 (sqrt.f64 x) x) y))))
	25.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) (*.f64 (/.f64 y x) (sqrt.f64 x)))))
▶	31.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(approx (/ (* y (sqrt x)) x) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
✓	32.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
▶	37.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))

Compiler

Compiled 510 to 338 computations (33.7% saved)

series144.0ms (4.8%)

Memory

-1.2MiB live, 188.6MiB allocated; 24ms collecting garbage

Counts

30 → 76

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
5.0ms	y	inf
5.0ms	x	inf
3.0ms	y	-inf
3.0ms	x	-inf
2.0ms	x	0

rewrite238.0ms (7.9%)

Memory

-43.6MiB live, 228.5MiB allocated; 184ms collecting garbage

Counts

30 → 74

Calls

Call 1

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

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

eval70.0ms (2.3%)

Memory: -4.0MiB live, 46.5MiB allocated; 51ms collecting garbage
Compiler: Compiled 4 230 to 707 computations (83.3% saved)

prune9.0ms (0.3%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	149	4	153
Fresh	0	4	4
Picked	2	3	5
Done	0	4	4
Total	151	15	166

Accuracy

100.0%

Counts

166 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	68.4%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
	63.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y x)) x))
✓	63.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	99.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (.f64 y (/.f64 #s(literal 1 binary64) y))))
	32.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 (.f64 y x) y) #s(approx (- (* y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
	57.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (sqrt.f64 x) #s(approx (/ (- x 1) y) (/.f64 x y))) y))
	56.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) y)))
	61.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (.f64 y #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) #s(literal 1 binary64))))
✓	31.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) (*.f64 (/.f64 (sqrt.f64 x) x) y))))
	25.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) (*.f64 (/.f64 y x) (sqrt.f64 x)))))
✓	31.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(approx (/ (* y (sqrt x)) x) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
✓	32.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
✓	37.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
	37.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (.f64 y #s(approx (sqrt x) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))

Compiler

Compiled 339 to 225 computations (33.6% saved)

regimes39.0ms (1.3%)

Memory

-8.2MiB live, 84.7MiB allocated; 5ms collecting garbage

Accuracy

Total -20.0b remaining (-65.1%)

Threshold costs -20b (-65.1%)

Counts

2 → 1

3 → 3

5 → 3

24 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))

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

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))

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

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))

Call 3

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

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

Outputs

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

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

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

Call 4

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

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

Calls

10 calls:

8.0ms	y
6.0ms	x
6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
63.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
63.6%	1	`x`
63.6%	1	`y`
92.8%	3	`y`
84.1%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
84.5%	2	`x`
95.7%	3	`y`
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 542 to 143 computations (73.6% saved)

bsearch26.0ms (0.9%)

Memory

-8.9MiB live, 41.5MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.1693657651558185e+34	3.5771915630535693e+39
10.0ms	-1.2135067944395078e+48	-1.7840795924177857e+45

Samples

10.0ms

272×

valid

Compiler

Compiled 385 to 369 computations (4.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sqrt: 2.0ms (41.7% of total)

ival-sub!: 1.0ms (20.8% of total)

ival-add!: 1.0ms (20.8% of total)

ival-mult!: 1.0ms (20.8% of total)

adjust: 0.0ms (0% of total)

bsearch21.0ms (0.7%)

Memory

35.8MiB live, 35.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.906018685126367e+57	5.61826251118708e+60
10.0ms	-1.6009696614209916e+58	-1.4894512727888497e+55

Samples

10.0ms

256×

valid

Compiler

Compiled 587 to 460 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sqrt: 2.0ms (44.8% of total)

ival-sub!: 1.0ms (22.4% of total)

ival-add!: 1.0ms (22.4% of total)

ival-mult!: 1.0ms (22.4% of total)

adjust: 0.0ms (0% of total)

derivations1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 127 to 34 computations (73.2% saved)

preprocess30.0ms (1%)

Memory: -25.2MiB live, 67.9MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 389 to 163 computations (58.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze8.0ms (0.3%)

sample809.0ms (26.9%)

preprocess101.0ms (3.4%)

series129.0ms (4.3%)

rewrite197.0ms (6.6%)

eval31.0ms (1%)

prune8.0ms (0.3%)

series133.0ms (4.4%)

rewrite175.0ms (5.8%)

eval22.0ms (0.7%)

prune11.0ms (0.4%)

series253.0ms (8.4%)

rewrite346.0ms (11.5%)

eval182.0ms (6%)

prune21.0ms (0.7%)

series144.0ms (4.8%)

rewrite238.0ms (7.9%)

eval70.0ms (2.3%)

prune9.0ms (0.3%)

regimes39.0ms (1.3%)

bsearch26.0ms (0.9%)

bsearch21.0ms (0.7%)

derivations1.0ms (0%)

preprocess30.0ms (1%)

end0.0ms (0%)

Profiling