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

start0.0ms (0%)

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

analyze8.0ms (0.6%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample727.0ms (49.9%)

Memory

12.9MiB live, 1 102.9MiB allocated; 239ms collecting garbage

Samples

470.0ms	8 255×	0	valid
10.0ms	249×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-sqrt: 110.0ms (49.2% of total)

ival-mult!: 53.0ms (23.7% of total)

ival-sub!: 35.0ms (15.6% of total)

ival-add!: 24.0ms (10.7% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess140.0ms (9.6%)

Memory

-49.0MiB live, 58.9MiB allocated; 43ms 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

8.5MiB live, 8.5MiB 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))

rewrite39.0ms (2.7%)

Memory

38.1MiB live, 38.1MiB allocated; 0ms 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)))

eval9.0ms (0.6%)

Memory: -37.0MiB live, 11.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 243 to 123 computations (49.4% saved)

prune2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB 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
▶	68.1%	(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
▶	68.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	62.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	63.9%	#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 (0.9%)

Memory

25.2MiB live, 25.2MiB 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)))

rewrite59.0ms (4%)

Memory

-29.6MiB live, 61.4MiB allocated; 8ms 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 (0.5%)

Memory: 18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 629 to 303 computations (51.8% saved)

prune5.0ms (0.4%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	66	7	73
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	68	9	77

Accuracy

100.0%

Counts

77 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	68.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	62.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	63.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x))
	63.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) x))
▶	34.8%	#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))
▶	31.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)) x))
▶	31.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	39.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 213 to 205 computations (3.8% saved)

series19.0ms (1.3%)

Memory

-21.1MiB live, 29.7MiB allocated; 7ms 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
6.0ms	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	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	@	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)))

rewrite47.0ms (3.2%)

Memory

3.8MiB live, 50.0MiB allocated; 3ms 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)))

eval6.0ms (0.4%)

Memory: 8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 515 to 237 computations (54% saved)

prune4.0ms (0.3%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	2	0	2
Picked	1	4	5
Done	0	2	2
Total	60	8	68

Accuracy

100.0%

Counts

68 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	68.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	62.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	34.8%	#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))
▶	34.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	31.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)) x))
✓	31.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	39.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 107 to 102 computations (4.7% saved)

series14.0ms (1%)

Memory

-34.2MiB live, 12.3MiB allocated; 3ms collecting garbage

Counts

15 → 29

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
(.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (- (* (/ 1 (sqrt 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)
x
y
#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)
(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 (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#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 (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 (/ 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 (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 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
8.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x))
2.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x))
1.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x))
1.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x))
1.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x))

rewrite42.0ms (2.9%)

Memory

43.3MiB live, 43.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	616
0	114	514
0	495	495

Stop Event

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

Counts

44 → 61

Calls

Call 1

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

eval11.0ms (0.8%)

Memory: -29.3MiB live, 15.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 382 to 197 computations (48.4% saved)

prune5.0ms (0.3%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	1	2
Done	1	5	6
Total	42	8	50

Accuracy

100.0%

Counts

50 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	68.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	62.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	34.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x))
✓	34.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	31.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	39.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)))
	31.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)))

Compiler

Compiled 212 to 163 computations (23.1% saved)

regimes26.0ms (1.8%)

Memory

-16.4MiB live, 33.7MiB allocated; 17ms collecting garbage

Counts

16 → 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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) 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:

16.0ms	x
5.0ms	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)

regimes10.0ms (0.7%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

9 → 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)))
(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 y (sqrt.f64 x))) x))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
97.9%	2	`x`
97.3%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes7.0ms (0.5%)

Memory

14.8MiB live, 14.8MiB 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	y
2.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
96.0%	3	`y`
82.4%	2	`x`
82.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes2.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB 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
94.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes79.0ms (5.4%)

Memory

-31.6MiB live, 13.5MiB allocated; 3ms 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:

75.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
62.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
62.8%	1	`x`
62.8%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes4.0ms (0.3%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
61.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
35.5%	2	`y`
60.8%	2	`x`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes3.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB 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	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
31.0%	1	`y`
31.0%	1	`x`
31.0%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999991816	0.9999999999998476
0.0ms	-2.4130322705758632e+23	-8.958909158104247e+22

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch46.0ms (3.1%)

Memory

3.1MiB live, 48.5MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.242752320512473e+50	6.039217342309389e+70
31.0ms	-6.249021721236418e+44	-7.916360490716227e+39

Samples

32.0ms

320×

valid

Compiler

Compiled 431 to 472 computations (-9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sqrt: 23.0ms (88.6% of total)

ival-sub!: 1.0ms (3.9% of total)

ival-add!: 1.0ms (3.9% of total)

ival-mult!: 1.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

bsearch27.0ms (1.8%)

Memory

11.8MiB live, 57.6MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.242752320512473e+50	6.039217342309389e+70
13.0ms	-6.236620387756561e+88	-6.812721236066283e+79

Samples

14.0ms

304×

valid

Compiler

Compiled 531 to 552 computations (-4% saved)

Precisions

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

ival-sqrt: 5.0ms (62.9% of total)

ival-sub!: 1.0ms (12.6% of total)

ival-add!: 1.0ms (12.6% of total)

ival-mult!: 1.0ms (12.6% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.743987005616327	0.9617316816293587

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations40.0ms (2.7%)

Memory

-36.9MiB live, 18.3MiB allocated; 9ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 71 to 50 computations (29.6% saved)

preprocess51.0ms (3.5%)

Memory: 16.3MiB live, 108.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 78 to 57 computations (26.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze8.0ms (0.6%)

sample727.0ms (49.9%)

preprocess140.0ms (9.6%)

series6.0ms (0.4%)

rewrite39.0ms (2.7%)

eval9.0ms (0.6%)

prune2.0ms (0.1%)

series12.0ms (0.9%)

rewrite59.0ms (4%)

eval7.0ms (0.5%)

prune5.0ms (0.4%)

series19.0ms (1.3%)

rewrite47.0ms (3.2%)

eval6.0ms (0.4%)

prune4.0ms (0.3%)

series14.0ms (1%)

rewrite42.0ms (2.9%)

eval11.0ms (0.8%)

prune5.0ms (0.3%)

regimes26.0ms (1.8%)

regimes10.0ms (0.7%)

regimes7.0ms (0.5%)

regimes2.0ms (0.2%)

regimes79.0ms (5.4%)

regimes4.0ms (0.3%)

regimes3.0ms (0.2%)

bsearch0.0ms (0%)

bsearch46.0ms (3.1%)

bsearch27.0ms (1.8%)

bsearch0.0ms (0%)

derivations40.0ms (2.7%)

preprocess51.0ms (3.5%)

end0.0ms (0%)

Profiling