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

analyze9.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB 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)

sample726.0ms (28.4%)

Memory

9.0MiB live, 1 173.1MiB allocated; 212ms collecting garbage

Samples

430.0ms	8 253×	0	valid
15.0ms	236×	0	invalid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-sqrt: 65.0ms (27.5% of total)

ival-sub: 59.0ms (25% of total)

ival-mult: 56.0ms (23.7% of total)

ival-add: 39.0ms (16.5% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2.1% of total)

adjust: 3.0ms (1.3% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain87.0ms (3.4%)

Memory

16.7MiB live, 107.5MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

27.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 4.0ms (29.6% of total)

ival-sqrt: 4.0ms (29.6% of total)

ival-sub: 3.0ms (22.2% of total)

ival-add: 2.0ms (14.8% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess232.0ms (9.1%)

Memory

-16.1MiB live, 170.0MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	49	46
2	96	46
3	172	43
4	356	42
5	1037	42
6	2806	42
7	6607	42
0	7	8
0	11	8
1	20	8
2	35	8
3	64	8
4	133	8
5	459	8
6	3607	8
7	7197	8
0	8053	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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 8 to 7 computations (12.5% saved)

series5.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB 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
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
x
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
y
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -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))

simplify97.0ms (3.8%)

Memory

17.9MiB live, 117.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	138
1	140	130
2	467	129
0	1726	122

Stop Event

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

Counts

21 → 19

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
x
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
y
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))

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

rewrite53.0ms (2.1%)

Memory

13.2MiB live, 104.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	48	20
0	366	19

Stop Event

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

Counts

7 → 36

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 y) (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(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 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y))) (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (-.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
y
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval43.0ms (1.7%)

Memory: -41.7MiB live, 25.4MiB allocated; 67ms collecting garbage
Compiler: Compiled 829 to 159 computations (80.8% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Accuracy

100.0%

Counts

52 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
▶	68.2%	(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
▶	66.7%	#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))
	62.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
▶	87.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y))

Compiler

Compiled 188 to 146 computations (22.3% saved)

series15.0ms (0.6%)

Memory

-15.5MiB live, 33.3MiB allocated; 8ms collecting garbage

Counts

17 → 44

Calls

Call 1

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

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
x
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
y
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (+ (/ (- 1 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y))
3.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (+ (/ (- 1 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y))
2.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (+ (/ (- 1 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y))
2.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (+ (/ (- 1 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y))
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (+ (/ (- 1 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y))

simplify141.0ms (5.5%)

Memory

25.9MiB live, 169.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	378
1	265	341
2	876	331
0	3304	312

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

44 → 42

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
x
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
y
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))

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

rewrite61.0ms (2.4%)

Memory

4.1MiB live, 90.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	32	108
1	132	108
0	909	107

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 143

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (.f64 x x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 y (sqrt.f64 x))) (-.f64 x (.f64 y (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 y) (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 y (sqrt.f64 x))) (-.f64 x (.f64 y (sqrt.f64 x))) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y y) x))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (*.f64 y y) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y y) x)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (*.f64 y y) x)))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))) (/.f64 (.f64 (.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 y y) x) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 y (sqrt.f64 x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y y) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (.f64 (*.f64 y y) x))))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
x
y
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.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 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#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 y (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))))
(/.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) x) (.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 y y) x) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(-.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))))
(+.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 y y) x) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (fma.f64 (.f64 y y) x (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (neg.f64 y) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 y y) x))) (neg.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 y y) x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 y y) x (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (sqrt.f64 x)) (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x)))) (/.f64 (.f64 (.f64 y y) x) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x)))))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (sqrt.f64 x)) (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))
(.f64 y (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))
(/.f64 (.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) y) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))
(/.f64 (.f64 y (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y (*.f64 y (sqrt.f64 x)))
(fma.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))
(fma.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))
(fma.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 y (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))
(fma.f64 y (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))
(fma.f64 y (sqrt.f64 x) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))
(fma.f64 (sqrt.f64 x) (.f64 y #s(literal 1 binary64)) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (sqrt.f64 x) y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))
(fma.f64 (sqrt.f64 x) y (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y) (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/.f64 (-.f64 x (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x)) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (+.f64 x (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 (+.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64))) (/.f64 x y))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))) (/.f64 x (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
(-.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)))
(/.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 y x)) (*.f64 y y))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) y))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))

eval27.0ms (1.1%)

Memory: 11.7MiB live, 55.9MiB allocated; 11ms collecting garbage
Compiler: Compiled 4 718 to 613 computations (87% saved)

prune16.0ms (0.6%)

Memory

-30.6MiB live, 27.5MiB allocated; 15ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	217	7	224
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	220	11	231

Accuracy

100.0%

Counts

231 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	68.2%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
	41.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
▶	55.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
✓	65.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	62.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
▶	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) y))
▶	32.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
	36.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 349 to 241 computations (30.9% saved)

series31.0ms (1.2%)

Memory

11.6MiB live, 56.1MiB allocated; 10ms collecting garbage

Counts

28 → 104

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

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
x
1
(+ 1 (* -1 x))
(* -1 x)
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ 1 x)
(/ 1 (* y (- (/ 1 y) (sqrt x))))
(+ (* x (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2))))) (/ 1 (* y (- (/ 1 y) (sqrt x)))))
(+ (* x (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (+ (* x (- (/ 1 (* y (- (/ 1 y) (sqrt x)))) (* -1 (/ (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))) (* y (- (/ 1 y) (sqrt x))))))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))))) (/ 1 (* y (- (/ 1 y) (sqrt x)))))
(+ (* x (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (+ (* x (- (+ (/ 1 (* y (- (/ 1 y) (sqrt x)))) (/ (* x (- (/ 1 (* y (- (/ 1 y) (sqrt x)))) (* -1 (/ (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))) (* y (- (/ 1 y) (sqrt x))))))) (* y (- (/ 1 y) (sqrt x))))) (* -1 (/ (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))) (* y (- (/ 1 y) (sqrt x))))))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))))) (/ 1 (* y (- (/ 1 y) (sqrt x)))))
(+ (* -1 (* x (* y (+ 1 (* 2 (/ 1 (pow y 2))))))) (/ 1 y))
(+ (* x (+ (* -1 (* y (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ x y))) (/ 1 y))
(/ 1 (pow y 2))
(+ (* -1 (* x (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
(+ (* x (- (/ x (pow y 2)) (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
(+ (* -2 (/ x (pow y 2))) (/ 1 (pow y 2)))
(+ (* x (- (/ x (pow y 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2)))
(- (/ 1 y) (sqrt x))
(- (+ (* -1 (/ x y)) (/ 1 y)) (sqrt x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (/ x (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))
(* x (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y)))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* y (+ (sqrt (/ 1 x)) (/ 1 y))))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y))))) (pow x 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y))))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (pow x 3))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y))))) (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* (pow x 2) (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (+ (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))) (/ 1 (* (pow x 2) (* y (+ (sqrt (/ 1 x)) (/ 1 y))))))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) x)) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ (+ 1 (* 2 (/ 1 (pow y 2)))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow y 2))) (+ (/ 1 x) (/ 2 (* x (pow y 2))))))
(* (pow x 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x (pow y 2))))))
(* (pow x 2) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow y 2))) (/ 2 (* x (pow y 2)))))
(* -1 (* x (+ (sqrt (/ 1 x)) (/ 1 y))))
(* x (- (/ 1 (* x y)) (+ (sqrt (/ 1 x)) (/ 1 y))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (/ x (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 3) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 2 (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ 1 (* (pow y 3) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (/ 1 (* y (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (/ 1 (* (pow y 4) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 4))))) x)) (+ (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 3) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ (* 2 (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* (pow x 2) (+ (* -1 (/ (- (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (/ 1 (* x y))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (- (+ 1 (* 2 (/ 1 (pow y 2)))) (/ 1 (* x (pow y 2)))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 (pow y 2))) (/ 1 (* x (pow y 2)))) x)) (/ 1 (pow y 2))))
(* -1 (* x (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (/ 1 y) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (* x y))))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
y
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
-1
(/ (pow (- 1 x) 2) y)
(/ (+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2)) y)
(/ (pow (- 1 x) 2) (pow y 2))
(/ (+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2)) (pow y 2))
(/ (- (+ 1 (* -1 (* (sqrt x) y))) x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (pow (- 1 x) 2) (pow y 2))))
(- (/ (pow (- 1 x) 2) (pow y 2)) x)
(* -1 (sqrt x))
(- (/ 1 y) (+ (sqrt x) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- x 1))) (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))))) y))) (* -1 (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))))) y))) y)))))
(* -1 (* y (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	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 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1 (+ (- 1 x) (* y (sqrt x))) (/ (* (- (pow (/ (- 1 x) y) 2) x) y) (- (/ (- 1 x) y) (sqrt x))) (* (- (pow (/ (- 1 x) y) 2) x) y) (- (pow (/ (- 1 x) y) 2) x) (pow (/ (- 1 x) y) 2) (/ (- 1 x) y) (- 1 x) 2 (- (/ (- 1 x) y) (sqrt x)))
5.0ms	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 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1 (+ (- 1 x) (* y (sqrt x))) (/ (* (- (pow (/ (- 1 x) y) 2) x) y) (- (/ (- 1 x) y) (sqrt x))) (* (- (pow (/ (- 1 x) y) 2) x) y) (- (pow (/ (- 1 x) y) 2) x) (pow (/ (- 1 x) y) 2) (/ (- 1 x) y) (- 1 x) 2 (- (/ (- 1 x) y) (sqrt x)))
4.0ms	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 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1 (+ (- 1 x) (* y (sqrt x))) (/ (* (- (pow (/ (- 1 x) y) 2) x) y) (- (/ (- 1 x) y) (sqrt x))) (* (- (pow (/ (- 1 x) y) 2) x) y) (- (pow (/ (- 1 x) y) 2) x) (pow (/ (- 1 x) y) 2) (/ (- 1 x) y) (- 1 x) 2 (- (/ (- 1 x) y) (sqrt x)))
3.0ms	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 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1 (+ (- 1 x) (* y (sqrt x))) (/ (* (- (pow (/ (- 1 x) y) 2) x) y) (- (/ (- 1 x) y) (sqrt x))) (* (- (pow (/ (- 1 x) y) 2) x) y) (- (pow (/ (- 1 x) y) 2) x) (pow (/ (- 1 x) y) 2) (/ (- 1 x) y) (- 1 x) 2 (- (/ (- 1 x) y) (sqrt x)))
3.0ms	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 x) y) (sqrt x)) y) (+ (/ (- 1 x) y) (sqrt x)) (/ (- 1 x) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 x) -1 (+ (- 1 x) (* y (sqrt x))) (/ (* (- (pow (/ (- 1 x) y) 2) x) y) (- (/ (- 1 x) y) (sqrt x))) (* (- (pow (/ (- 1 x) y) 2) x) y) (- (pow (/ (- 1 x) y) 2) x) (pow (/ (- 1 x) y) 2) (/ (- 1 x) y) (- 1 x) 2 (- (/ (- 1 x) y) (sqrt x)))

simplify196.0ms (7.7%)

Memory

13.7MiB live, 195.8MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	2305
1	1148	2045
2	4602	1888
0	8583	1826

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 102

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
x
1
(+ 1 (* -1 x))
(* -1 x)
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ 1 x)
(/ 1 (* y (- (/ 1 y) (sqrt x))))
(+ (* x (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2))))) (/ 1 (* y (- (/ 1 y) (sqrt x)))))
(+ (* x (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (+ (* x (- (/ 1 (* y (- (/ 1 y) (sqrt x)))) (* -1 (/ (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))) (* y (- (/ 1 y) (sqrt x))))))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))))) (/ 1 (* y (- (/ 1 y) (sqrt x)))))
(+ (* x (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (+ (* x (- (+ (/ 1 (* y (- (/ 1 y) (sqrt x)))) (/ (* x (- (/ 1 (* y (- (/ 1 y) (sqrt x)))) (* -1 (/ (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))) (* y (- (/ 1 y) (sqrt x))))))) (* y (- (/ 1 y) (sqrt x))))) (* -1 (/ (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (sqrt x)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))) (* y (- (/ 1 y) (sqrt x))))))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (sqrt x)) 2)))))) (/ 1 (* y (- (/ 1 y) (sqrt x)))))
(+ (* -1 (* x (* y (+ 1 (* 2 (/ 1 (pow y 2))))))) (/ 1 y))
(+ (* x (+ (* -1 (* y (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ x y))) (/ 1 y))
(/ 1 (pow y 2))
(+ (* -1 (* x (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
(+ (* x (- (/ x (pow y 2)) (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
(+ (* -2 (/ x (pow y 2))) (/ 1 (pow y 2)))
(+ (* x (- (/ x (pow y 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2)))
(- (/ 1 y) (sqrt x))
(- (+ (* -1 (/ x y)) (/ 1 y)) (sqrt x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (/ x (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))
(* x (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y)))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* y (+ (sqrt (/ 1 x)) (/ 1 y))))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y))))) (pow x 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y))))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (pow x 3))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y))))) (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* (pow x 2) (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (+ (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))) (/ 1 (* (pow x 2) (* y (+ (sqrt (/ 1 x)) (/ 1 y))))))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) x)) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ (+ 1 (* 2 (/ 1 (pow y 2)))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow y 2))) (+ (/ 1 x) (/ 2 (* x (pow y 2))))))
(* (pow x 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x (pow y 2))))))
(* (pow x 2) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow y 2))) (/ 2 (* x (pow y 2)))))
(* -1 (* x (+ (sqrt (/ 1 x)) (/ 1 y))))
(* x (- (/ 1 (* x y)) (+ (sqrt (/ 1 x)) (/ 1 y))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (/ x (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 3) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 2 (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ 1 (* (pow y 3) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (/ 1 (* y (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (/ 1 (* (pow y 4) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 4))))) x)) (+ (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 3) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ (* 2 (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* (pow x 2) (+ (* -1 (/ (- (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (/ 1 (* x y))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (- (+ 1 (* 2 (/ 1 (pow y 2)))) (/ 1 (* x (pow y 2)))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 (pow y 2))) (/ 1 (* x (pow y 2)))) x)) (/ 1 (pow y 2))))
(* -1 (* x (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (/ 1 y) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (* x y))))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
y
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
-1
(/ (pow (- 1 x) 2) y)
(/ (+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2)) y)
(/ (pow (- 1 x) 2) (pow y 2))
(/ (+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2)) (pow y 2))
(/ (- (+ 1 (* -1 (* (sqrt x) y))) x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (pow (- 1 x) 2) (pow y 2))))
(- (/ (pow (- 1 x) 2) (pow y 2)) x)
(* -1 (sqrt x))
(- (/ 1 y) (+ (sqrt x) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- x 1))) (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))))) y))) (* -1 (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))))) y))) y)))))
(* -1 (* y (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2))))))

Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt x)
(sqrt.f64 x)
x
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
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(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ 1 (* (pow y 3) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (/ 1 (* y (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (/ 1 (* (pow y 4) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 4))))) x)) (+ (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 3) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ (* 2 (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* (pow y 2) (pow (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (/ 1 (* y (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(fma.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) y y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))))
(* (pow x 2) (+ (* -1 (/ (- (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (/ 1 (* x y))) x)) (/ 1 y)))
(.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) y y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (+ 1 (* 2 (/ 1 (pow y 2)))) (/ 1 (* x (pow y 2)))) x)) (/ 1 (pow y 2))))
(.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 y y))) x) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 (pow y 2))) (/ 1 (* x (pow y 2)))) x)) (/ 1 (pow y 2))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x))
(* -1 (* x (- (/ 1 y) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x (/.f64 x y)))
(* -1 (* x (- (/ 1 y) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (* x y))))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
y
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) y)
-1
#s(literal -1 binary64)
(/ (pow (- 1 x) 2) y)
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y)
(/ (+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2)) y)
(/.f64 (fma.f64 (*.f64 (neg.f64 y) y) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) y)
(/ (pow (- 1 x) 2) (pow y 2))
(/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y)
(/ (+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2)) (pow y 2))
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) y) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) y) y)
(/ (- (+ 1 (* -1 (* (sqrt x) y))) x) y)
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(* y (+ (sqrt x) (* -1 (/ x y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ (pow (- 1 x) 2) (pow y 2))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y) x) y)
(- (/ (pow (- 1 x) 2) (pow y 2)) x)
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y) x)
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(- (/ 1 y) (+ (sqrt x) (/ x y)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- x 1))) (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) y)))))
(.f64 y (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y)) y) (sqrt.f64 x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))))) y))) (* -1 (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))))) y))) y)))))
(.f64 y (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) y) (-.f64 x #s(literal 1 binary64))) y) (sqrt.f64 x)))
(* -1 (* y (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y) x) y)

rewrite69.0ms (2.7%)

Memory

11.2MiB live, 100.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	227
0	51	227
1	182	203
0	1260	199

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

28 → 193

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

Outputs
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 y y) x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) (.f64 (*.f64 y y) x))))
(/.f64 (-.f64 (.f64 (.f64 y y) x) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (-.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) (.f64 (*.f64 y y) x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(-.f64 (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) (.f64 (.f64 y y) x))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) (.f64 (*.f64 y y) x))))
(+.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
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 (+.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) y))
(*.f64 (+.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) y)
(*.f64 y (+.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) x) y) (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)))
(/.f64 (.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64))) y) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) x) (.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) x)) (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)))
(/.f64 (.f64 y (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) x) (.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (*.f64 y (sqrt.f64 x)))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y))
(fma.f64 y (sqrt.f64 x) (*.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(fma.f64 (sqrt.f64 x) y (*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y))
(fma.f64 (sqrt.f64 x) y (*.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(+.f64 (.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (.f64 y (sqrt.f64 x)))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y))
(+.f64 (.f64 y (sqrt.f64 x)) (.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) x)) (neg.f64 (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) x) (*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)))))
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(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)))
(/.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 y x)) (*.f64 y y))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) y))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.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 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 2 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x) x) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x) x) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))) (/.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x) x) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x) x) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))))
(-.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))

eval66.0ms (2.6%)

Memory: -36.0MiB live, 173.8MiB allocated; 49ms collecting garbage
Compiler: Compiled 11 194 to 1 406 computations (87.4% saved)

prune12.0ms (0.5%)

Memory

-8.9MiB live, 47.8MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	332	4	336
Fresh	1	2	3
Picked	2	3	5
Done	0	3	3
Total	335	12	347

Accuracy

100.0%

Counts

347 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	68.2%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
	33.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(approx (* (- (pow (/ (- 1 x) y) 2) x) y) (*.f64 (neg.f64 y) x)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
✓	65.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) y))
▶	57.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
▶	30.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
▶	33.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) #s(literal -1 binary64)) x))
✓	32.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	36.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 384 to 269 computations (29.9% saved)

series46.0ms (1.8%)

Memory

-8.3MiB live, 38.5MiB allocated; 3ms collecting garbage

Counts

26 → 42

Calls

Call 1

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

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x y)
x
(sqrt (/ 1 x))
(/ 1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt x)
(/ y x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
1
y
(* -1 x)
-1
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) y x (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) -1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (/ y x))
3.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) y x (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) -1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (/ y x))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) y x (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) -1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (/ y x))
2.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) y x (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) -1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (/ y x))
2.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) y x (sqrt (/ 1 x)) (/ 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) -1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (/ y x))

simplify88.0ms (3.4%)

Memory

1.2MiB live, 141.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	320
1	227	278
2	755	271
0	3074	252

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x y)
x
(sqrt (/ 1 x))
(/ 1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt x)
(/ y x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
1
y
(* -1 x)
-1
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))

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

rewrite56.0ms (2.2%)

Memory

-0.2MiB live, 90.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	279
0	51	279
1	159	262
0	1006	241

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 105

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) (*.f64 (/.f64 x (sqrt.f64 x)) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (.f64 y x) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (.f64 y x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y x)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 x (sqrt.f64 x))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) #s(literal -1 binary64)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) #s(literal -1 binary64)) x)
(.f64 x #s(approx (+ ( (sqrt (/ 1 x)) y) -1) #s(literal -1 binary64)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(.f64 (.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(.f64 y (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) x)
(.f64 x #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))) x)
(.f64 x #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 x) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 x) y) x)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 x) y) x)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))
(fma.f64 y (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 x)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 x) y) x)) (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 x) y) x)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 y (neg.f64 x)))

eval21.0ms (0.8%)

Memory: 5.5MiB live, 49.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 904 to 621 computations (87.3% saved)

prune10.0ms (0.4%)

Memory

29.3MiB live, 29.3MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	0	1	1
Picked	3	2	5
Done	0	6	6
Total	178	12	190

Accuracy

100.0%

Counts

190 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	68.2%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
	33.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(approx (* (- (pow (/ (- 1 x) y) 2) x) y) (*.f64 (neg.f64 y) x)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
✓	65.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) y))
	30.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
✓	32.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
	66.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
✓	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
✓	36.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
	33.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x)))

Compiler

Compiled 649 to 261 computations (59.8% saved)

regimes27.0ms (1.1%)

Memory

-5.3MiB live, 47.3MiB allocated; 9ms collecting garbage

Counts

22 → 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 (* (+ (* (sqrt (/ 1 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 (+ ( (sqrt (/ 1 x)) y) -1) #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.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)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) 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))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(approx (* (- (pow (/ (- 1 x) y) 2) x) y) (*.f64 (neg.f64 y) x)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))

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

Calls

3 calls:

13.0ms	y
6.0ms	x
6.0ms	(+.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 10 to 11 computations (-10% saved)

regimes12.0ms (0.5%)

Memory

-24.3MiB live, 21.0MiB allocated; 4ms collecting garbage

Counts

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

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:

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

Results

Accuracy	Segments	Branch
98.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.0%	2	`x`
96.3%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.3%)

Memory

18.8MiB live, 18.8MiB 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 (* (+ (* (sqrt (/ 1 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 (+ ( (sqrt (/ 1 x)) y) -1) #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.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`
84.2%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
84.6%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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 (* (+ (* (sqrt (/ 1 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 (+ ( (sqrt (/ 1 x)) y) -1) #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.3%)

Memory

-28.2MiB live, 17.5MiB allocated; 4ms 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 (* (+ (* (sqrt (/ 1 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 (+ ( (sqrt (/ 1 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:

5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB 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 (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x)))

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

Results

Accuracy	Segments	Branch
39.6%	2	`y`
64.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
64.1%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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	y
1.0ms	x

Results

Accuracy	Segments	Branch
32.5%	1	`y`
32.5%	1	`x`
32.5%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch29.0ms (1.1%)

Memory

-10.2MiB live, 35.5MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	3.353848059321716e-8	1.0431503283467747

Samples

21.0ms	139×	0	valid
0.0ms	4×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 227 to 201 computations (11.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 15.0ms (82.6% of total)

ival-add: 1.0ms (5.5% of total)

ival-mult: 1.0ms (5.5% of total)

ival-sqrt: 1.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch41.0ms (1.6%)

Memory

-13.6MiB live, 48.7MiB allocated; 11ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.6160384207206358e+44	5.80269819469569e+47
7.0ms	-3.4199506557238112e+112	-9.562391571241512e+111

Samples

30.0ms

208×

valid

Compiler

Compiled 349 to 311 computations (10.9% saved)

Precisions

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

ival-add: 21.0ms (82.1% of total)

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

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

ival-sqrt: 1.0ms (3.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.5%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.6377559406165525e+113	1.3235179128639406e+116
1.0ms	-3.4199506557238112e+112	-9.562391571241512e+111

Samples

6.0ms

128×

valid

Compiler

Compiled 427 to 337 computations (21.1% saved)

Precisions

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

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

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

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

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

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.04315032834677468	0.9999999664615195

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify65.0ms (2.5%)

Memory

-13.7MiB live, 76.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	184
1	72	184
2	102	184
3	175	184
4	308	184
5	715	184
6	4481	184

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #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))))
(if (<=.f64 y #s(literal -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 11500000000000000301403098981859565338819035136 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)))))
(if (<=.f64 y #s(literal -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 469999999999999979972291521061767166749776817582631806769174286637336421825302600410130643267873260113902239219712 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x))) #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 x) #s(literal 1 binary64)))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #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))))
(if (<=.f64 y #s(literal -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 11500000000000000301403098981859565338819035136 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)))))
(if (or (<=.f64 y #s(literal -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (not (<=.f64 y #s(literal 11500000000000000301403098981859565338819035136 binary64)))) #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)))
(if (<=.f64 y #s(literal -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 469999999999999979972291521061767166749776817582631806769174286637336421825302600410130643267873260113902239219712 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
(if (or (<=.f64 y #s(literal -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (not (<=.f64 y #s(literal 469999999999999979972291521061767166749776817582631806769174286637336421825302600410130643267873260113902239219712 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x))) #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 x) #s(literal 1 binary64)))

derivations129.0ms (5%)

Memory

-8.4MiB live, 180.9MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 184 to 51 computations (72.3% saved)

preprocess102.0ms (4%)

Memory: 17.3MiB live, 117.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 384 to 116 computations (69.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze9.0ms (0.3%)

sample726.0ms (28.4%)

explain87.0ms (3.4%)

preprocess232.0ms (9.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.2%)

simplify97.0ms (3.8%)

rewrite53.0ms (2.1%)

eval43.0ms (1.7%)

prune4.0ms (0.2%)

series15.0ms (0.6%)

simplify141.0ms (5.5%)

rewrite61.0ms (2.4%)

eval27.0ms (1.1%)

prune16.0ms (0.6%)

series31.0ms (1.2%)

simplify196.0ms (7.7%)

rewrite69.0ms (2.7%)

eval66.0ms (2.6%)

prune12.0ms (0.5%)

series46.0ms (1.8%)

simplify88.0ms (3.4%)

rewrite56.0ms (2.2%)

eval21.0ms (0.8%)

prune10.0ms (0.4%)

regimes27.0ms (1.1%)

regimes12.0ms (0.5%)

regimes8.0ms (0.3%)

regimes3.0ms (0.1%)

regimes9.0ms (0.3%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch29.0ms (1.1%)

bsearch41.0ms (1.6%)

bsearch13.0ms (0.5%)

bsearch0.0ms (0%)

simplify65.0ms (2.5%)

derivations129.0ms (5%)

preprocess102.0ms (4%)

end0.0ms (0%)

Profiling