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

start0.0ms (0%)

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

analyze31.0ms (2.2%)

Memory

-45.5MiB live, 26.2MiB allocated; 27ms 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)

sample826.0ms (58.4%)

Memory

64.4MiB live, 1 267.3MiB allocated; 308ms collecting garbage

Samples

552.0ms	8 252×	0	valid
10.0ms	265×	0	invalid
0.0ms	4×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-sqrt: 139.0ms (48.9% of total)

ival-mult!: 87.0ms (30.6% of total)

ival-add!: 30.0ms (10.5% of total)

ival-sub!: 27.0ms (9.5% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess64.0ms (4.5%)

Memory

-38.3MiB live, 57.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	51
1	81	49
2	280	49
3	671	48
4	2274	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 14 to 14 computations (0% saved)

series6.0ms (0.4%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

7 → 21

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

Calls

6 calls:

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

rewrite32.0ms (2.2%)

Memory

24.5MiB live, 66.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	320
0	83	317
1	183	317

Stop Event

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

Counts

28 → 28

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

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

eval2.0ms (0.1%)

Memory: 7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 179 to 95 computations (46.9% saved)

prune14.0ms (1%)

Memory

-32.1MiB live, 9.5MiB allocated; 17ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Accuracy

99.9%

Counts

22 → 5

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)))
▶	68.3%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
▶	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	90.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))))
▶	58.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))))

Compiler

Compiled 55 to 55 computations (0% saved)

series17.0ms (1.2%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Counts

21 → 57

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) x (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 y (+ (- 1 x) (* y (sqrt x))) (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (- (+ (sqrt x) (/ 1 y)) (/ x y)) (+ (sqrt x) (/ 1 y)) (sqrt x) (/ 1 y) (/ x y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)))
3.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) x (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 y (+ (- 1 x) (* y (sqrt x))) (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (- (+ (sqrt x) (/ 1 y)) (/ x y)) (+ (sqrt x) (/ 1 y)) (sqrt x) (/ 1 y) (/ x y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)))
3.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) x (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 y (+ (- 1 x) (* y (sqrt x))) (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (- (+ (sqrt x) (/ 1 y)) (/ x y)) (+ (sqrt x) (/ 1 y)) (sqrt x) (/ 1 y) (/ x y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)))
3.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) x (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 y (+ (- 1 x) (* y (sqrt x))) (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (- (+ (sqrt x) (/ 1 y)) (/ x y)) (+ (sqrt x) (/ 1 y)) (sqrt x) (/ 1 y) (/ x y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)))
2.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) x (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 y (+ (- 1 x) (* y (sqrt x))) (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (- (+ (sqrt x) (/ 1 y)) (/ x y)) (+ (sqrt x) (/ 1 y)) (sqrt x) (/ 1 y) (/ x y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)))

rewrite52.0ms (3.7%)

Memory

-25.0MiB live, 21.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1200
0	198	1185
1	408	1185

Stop Event

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

Counts

78 → 78

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 665 to 286 computations (57% saved)

prune4.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	1	3	4
Done	1	0	1
Total	56	8	64

Accuracy

99.9%

Counts

64 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.3%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
✓	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	58.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))))
▶	28.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( (sqrt (/ 1 x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))))
▶	31.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( (sqrt (/ 1 x)) y) 1) #s(literal -1 binary64))))
▶	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* (sqrt (/ 1 x)) y) 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))))
▶	35.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* (sqrt (/ 1 x)) y) 1)) (*.f64 (sqrt.f64 x) y)))
▶	56.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* (sqrt (/ 1 x)) y) 1)) (.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 x y))))))

Compiler

Compiled 207 to 207 computations (0% saved)

series13.0ms (1%)

Memory

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

Counts

26 → 40

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (* -1 x) (* (sqrt x) y)) -1 x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (* y (+ (sqrt x) (* -1 (/ x y)))) (+ (sqrt x) (* -1 (/ x y))) (* -1 (/ x y)) (/ x y))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (* -1 x) (* (sqrt x) y)) -1 x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (* y (+ (sqrt x) (* -1 (/ x y)))) (+ (sqrt x) (* -1 (/ x y))) (* -1 (/ x y)) (/ x y))
2.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (* -1 x) (* (sqrt x) y)) -1 x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (* y (+ (sqrt x) (* -1 (/ x y)))) (+ (sqrt x) (* -1 (/ x y))) (* -1 (/ x y)) (/ x y))
2.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (* -1 x) (* (sqrt x) y)) -1 x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (* y (+ (sqrt x) (* -1 (/ x y)))) (+ (sqrt x) (* -1 (/ x y))) (* -1 (/ x y)) (/ x y))
2.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (* -1 x) (* (sqrt x) y)) -1 x (* (sqrt x) y) (sqrt x) y (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* x (- (* (sqrt (/ 1 x)) y) 1)) (* y (+ (sqrt x) (* -1 (/ x y)))) (+ (sqrt x) (* -1 (/ x y))) (* -1 (/ x y)) (/ x y))

rewrite78.0ms (5.5%)

Memory

-46.7MiB live, 17.7MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	977
0	151	971
1	291	971

Stop Event

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

Counts

66 → 67

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 506 to 236 computations (53.4% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	46	8	54

Accuracy

99.9%

Counts

54 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.3%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
✓	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	58.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))))
✓	28.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( (sqrt (/ 1 x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))))
✓	31.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( (sqrt (/ 1 x)) y) 1) #s(literal -1 binary64))))
✓	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* (sqrt (/ 1 x)) y) 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))))
✓	35.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* (sqrt (/ 1 x)) y) 1)) (*.f64 (sqrt.f64 x) y)))
✓	56.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* (sqrt (/ 1 x)) y) 1)) (.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 x y))))))

Compiler

Compiled 207 to 170 computations (17.9% saved)

regimes10.0ms (0.7%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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 9 to 11 computations (-22.2% saved)

regimes14.0ms (1%)

Memory

-34.3MiB live, 16.0MiB allocated; 9ms collecting garbage

Counts

5 → 2

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

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

Outputs

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

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

Calls

3 calls:

10.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.1%	2	`x`
97.4%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes5.0ms (0.4%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

4 → 3

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

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)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.4%	3	`y`
85.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
86.0%	2	`x`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

3 → 3

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 (- (* (sqrt (/ 1 x)) y) 1) #s(literal -1 binary64))))

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

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

Outputs

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

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
93.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.3%)

Memory

10.7MiB live, 10.6MiB allocated; 0ms collecting garbage

Accuracy

Total -21.9b remaining (-100.2%)

Threshold costs -21.9b (-100.2%)

Counts

2 → 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 (- ( (sqrt (/ 1 x)) y) 1) #s(literal -1 binary64))))

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

Calls

3 calls:

1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
65.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
65.8%	1	`x`
65.8%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch10.0ms (0.7%)

Memory

-31.8MiB live, 14.2MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.84686211727005e-6	3.2223238774078844e-5

Samples

6.0ms

96×

valid

Compiler

Compiled 173 to 186 computations (-7.5% saved)

Precisions

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

ival-sqrt: 3.0ms (81.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch24.0ms (1.7%)

Memory

30.8MiB live, 30.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0534524862236376e+69	3.238883942856637e+81
11.0ms	-5.260245371725837e+33	-2.480829416935366e+23

Samples

11.0ms

320×

valid

Compiler

Compiled 391 to 432 computations (-10.5% saved)

Precisions

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

ival-sqrt: 2.0ms (37% of total)

ival-sub!: 1.0ms (18.5% of total)

ival-add!: 1.0ms (18.5% of total)

ival-mult!: 1.0ms (18.5% of total)

adjust: 0.0ms (0% of total)

bsearch13.0ms (0.9%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.238883942856637e+81	8.559052126421778e+84
2.0ms	-6.272293176974626e+89	-5.064197015595858e+89

Samples

6.0ms

160×

valid

Compiler

Compiled 271 to 292 computations (-7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub!: 1.0ms (36.8% of total)

ival-sqrt: 1.0ms (36.8% of total)

ival-mult!: 1.0ms (36.8% of total)

adjust: 0.0ms (0% of total)

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

derivations130.0ms (9.2%)

Memory

-41.1MiB live, 3.9MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 56 to 42 computations (25% saved)

preprocess52.0ms (3.7%)

Memory: 6.3MiB live, 56.9MiB allocated; 10ms collecting garbage
Remove: (abs x)
Compiler: Compiled 251 to 223 computations (11.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze31.0ms (2.2%)

sample826.0ms (58.4%)

preprocess64.0ms (4.5%)

series6.0ms (0.4%)

rewrite32.0ms (2.2%)

eval2.0ms (0.1%)

prune14.0ms (1%)

series17.0ms (1.2%)

rewrite52.0ms (3.7%)

eval5.0ms (0.3%)

prune4.0ms (0.3%)

series13.0ms (1%)

rewrite78.0ms (5.5%)

eval4.0ms (0.3%)

prune4.0ms (0.3%)

regimes10.0ms (0.7%)

regimes14.0ms (1%)

regimes5.0ms (0.4%)

regimes2.0ms (0.1%)

regimes4.0ms (0.3%)

bsearch10.0ms (0.7%)

bsearch24.0ms (1.7%)

bsearch13.0ms (0.9%)

derivations130.0ms (9.2%)

preprocess52.0ms (3.7%)

end0.0ms (0%)

Profiling