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

analyze37.0ms (2.2%)

Memory

-26.4MiB live, 14.9MiB allocated; 23ms 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)

sample920.0ms (55%)

Memory

-1.2MiB live, 1 072.2MiB allocated; 436ms collecting garbage

Samples

571.0ms	8 254×	0	valid
10.0ms	257×	0	invalid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

ival-sqrt: 146.0ms (53.6% of total)

ival-sub!: 56.0ms (20.6% of total)

ival-mult!: 52.0ms (19.1% of total)

ival-add!: 17.0ms (6.2% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess112.0ms (6.7%)

Memory

-23.6MiB live, 69.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	60	54
2	122	54
3	220	51
4	662	50
5	4272	50

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)))

Compiler

Compiled 14 to 14 computations (0% saved)

series6.0ms (0.4%)

Memory

10.0MiB live, 10.0MiB 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))

rewrite40.0ms (2.4%)

Memory

0.8MiB live, 47.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	320
0	83	294
0	390	277

Stop Event

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

Counts

28 → 39

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 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) 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))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
y
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#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 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* y (sqrt x)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx y y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (neg.f64 (sqrt.f64 x))) y)))

eval3.0ms (0.2%)

Memory: 3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 243 to 123 computations (49.4% saved)

prune2.0ms (0.1%)

Memory

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

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Accuracy

99.9%

Counts

34 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
▶	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	65.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	65.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))

Compiler

Compiled 44 to 44 computations (0% saved)

series12.0ms (0.7%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

17 → 35

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) 1 (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)))
2.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) 1 (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)))
2.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) 1 (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) 1 (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)))
1.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) 1 (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)))

rewrite83.0ms (5%)

Memory

-12.3MiB live, 37.0MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	665
0	147	624
0	623	603

Stop Event

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

Counts

52 → 81

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)
(.f64 x (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)))))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(/.f64 (-.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)))))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))
#s(approx (- 1 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (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 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) y) 1) (neg.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #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 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64))
#s(approx y y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) y))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (+.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x y)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) y)) y)))
#s(approx (+ (* (sqrt x) y) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) y)))

eval7.0ms (0.4%)

Memory: 16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 629 to 303 computations (51.8% saved)

prune5.0ms (0.3%)

Memory

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

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	69	8	77

Accuracy

99.9%

Counts

77 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	65.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x))
▶	29.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
▶	38.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)) x))
▶	27.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	37.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 185 to 177 computations (4.3% saved)

series13.0ms (0.8%)

Memory

-23.5MiB live, 19.0MiB allocated; 8ms collecting garbage

Counts

21 → 31

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) -1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
3.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) -1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
1.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) -1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
1.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) -1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
1.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) -1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))

rewrite49.0ms (2.9%)

Memory

25.5MiB live, 66.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	677
0	132	644
0	568	622

Stop Event

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

Counts

52 → 69

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* (sqrt x) y) (- 1 x)) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)) x))
(.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)) x)
(.f64 x #s(approx (- ( (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
(.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x)
(.f64 x #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt x) y) (neg.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx y y)
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) y))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (+.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x y)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) y)) y)))

eval8.0ms (0.5%)

Memory: -29.6MiB live, 15.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 515 to 237 computations (54% saved)

prune4.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	60	7	67

Accuracy

99.9%

Counts

67 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.9%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	29.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x))
✓	38.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)) x))
✓	27.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	37.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 89 to 85 computations (4.5% saved)

series6.0ms (0.4%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

9 → 25

Calls

Call 1

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

Calls

6 calls:

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

rewrite46.0ms (2.7%)

Memory

5.6MiB live, 64.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	499
0	100	420
0	480	402

Stop Event

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

Counts

34 → 40

Calls

Call 1

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

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

eval44.0ms (2.7%)

Memory: -37.1MiB live, 8.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 296 to 135 computations (54.4% saved)

prune4.0ms (0.3%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	31	7	38

Accuracy

99.9%

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.9%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	29.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 #s(approx (* 1 y) y) (sqrt.f64 x))) x))
✓	27.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	37.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)))
	38.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)))

Compiler

Compiled 185 to 141 computations (23.8% saved)

regimes13.0ms (0.8%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	y
4.0ms	(+.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)

regimes67.0ms (4%)

Memory

-26.5MiB live, 19.6MiB allocated; 4ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	x
3.0ms	y
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
98.9%	2	`x`
97.2%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes7.0ms (0.4%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

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
95.8%	3	`y`
84.8%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
83.0%	2	`x`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
95.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.0%	1	`x`
65.0%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
65.0%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes18.0ms (1.1%)

Memory

-35.6MiB live, 9.5MiB allocated; 5ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
1.0ms	y
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
41.8%	3	`y`
64.6%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
64.0%	2	`x`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes3.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
27.9%	1	`y`
27.9%	1	`x`
27.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch9.0ms (0.5%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.055493324713837194	0.936455921155287

Samples

4.0ms

112×

valid

Compiler

Compiled 144 to 159 computations (-10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (52.5% of total)

ival-mult!: 1.0ms (52.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch45.0ms (2.7%)

Memory

-23.7MiB live, 33.4MiB allocated; 53ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	2.7740955397131247e+93	3.871840670216793e+96
7.0ms	-2.5311549861816572e+42	-2.1008479647592353e+41

Samples

35.0ms

224×

valid

Compiler

Compiled 305 to 334 computations (-9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sqrt: 26.0ms (90.8% of total)

ival-sub!: 1.0ms (3.5% of total)

ival-mult!: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

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

bsearch15.0ms (0.9%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.871840670216793e+96	1.394224235362596e+97
8.0ms	-2.0078073349128063e+77	-9.38111019163785e+74

Samples

7.0ms

192×

valid

Compiler

Compiled 323 to 336 computations (-4% saved)

Precisions

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

ival-sub!: 1.0ms (30.2% of total)

ival-sqrt: 1.0ms (30.2% of total)

ival-mult!: 1.0ms (30.2% of total)

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-160982.8694308126	0.9445066752861628

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations25.0ms (1.5%)

Memory

-34.9MiB live, 13.2MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 68 to 47 computations (30.9% saved)

preprocess61.0ms (3.6%)

Memory: 16.8MiB live, 108.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 75 to 54 computations (28% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze37.0ms (2.2%)

sample920.0ms (55%)

preprocess112.0ms (6.7%)

series6.0ms (0.4%)

rewrite40.0ms (2.4%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

series12.0ms (0.7%)

rewrite83.0ms (5%)

eval7.0ms (0.4%)

prune5.0ms (0.3%)

series13.0ms (0.8%)

rewrite49.0ms (2.9%)

eval8.0ms (0.5%)

prune4.0ms (0.3%)

series6.0ms (0.4%)

rewrite46.0ms (2.7%)

eval44.0ms (2.7%)

prune4.0ms (0.3%)

regimes13.0ms (0.8%)

regimes67.0ms (4%)

regimes7.0ms (0.4%)

regimes2.0ms (0.1%)

regimes6.0ms (0.3%)

regimes18.0ms (1.1%)

regimes3.0ms (0.2%)

bsearch9.0ms (0.5%)

bsearch45.0ms (2.7%)

bsearch15.0ms (0.9%)

bsearch0.0ms (0%)

derivations25.0ms (1.5%)

preprocess61.0ms (3.6%)

end0.0ms (0%)

Profiling