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

start0.0ms (0%)

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

analyze9.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB 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)

sample944.0ms (20.9%)

Memory

-14.8MiB live, 1 296.3MiB allocated; 326ms collecting garbage

Samples

618.0ms	8 255×	0	valid
12.0ms	249×	0	invalid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 410.0ms

ival-sqrt: 123.0ms (30% of total)

ival-sub: 100.0ms (24.4% of total)

ival-mult: 88.0ms (21.5% of total)

ival-add: 82.0ms (20% of total)

ival-true: 6.0ms (1.5% of total)

exact: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain98.0ms (2.2%)

Memory

-6.7MiB live, 139.7MiB allocated; 13ms 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

34.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 6.0ms (35.6% of total)

ival-sqrt: 4.0ms (23.8% of total)

ival-mult: 3.0ms (17.8% of total)

ival-add: 2.0ms (11.9% of total)

ival-true: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess232.0ms (5.1%)

Memory

11.6MiB live, 149.9MiB allocated; 37ms 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: 0.1MiB live, 0.1MiB 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
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify165.0ms (3.6%)

Memory

-3.7MiB live, 127.9MiB allocated; 19ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	1	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	20	20
2	35	20
3	64	20
4	133	20
5	459	20
6	3607	20
7	7197	20
0	8053	19

Stop Event

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

Calls

Call 1

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

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

localize58.0ms (1.3%)

Memory

-18.9MiB live, 86.3MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0078125	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy	0.234375	(*.f64 y (sqrt.f64 x))

Samples

51.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 22.0ms (50.4% of total)

ival-sub: 19.0ms (43.5% of total)

ival-sqrt: 2.0ms (4.6% of total)

ival-add: 1.0ms (2.3% 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)

series5.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

4 → 20

Calls

Call 1

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

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

Calls

6 calls:

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

simplify57.0ms (1.2%)

Memory

23.8MiB live, 115.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	274
1	172	267
2	505	266
0	1780	248

Stop Event

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

Counts

20 → 20

Calls

Call 1

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

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

rewrite57.0ms (1.3%)

Memory

-23.6MiB live, 80.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	48	17
0	366	16

Stop Event

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

Counts

4 → 33

Calls

Call 1

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

eval5.0ms (0.1%)

Memory: 8.1MiB live, 8.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 810 to 160 computations (80.2% saved)

prune13.0ms (0.3%)

Memory

-35.7MiB live, 11.0MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	8	49

Accuracy

99.9%

Counts

49 → 8

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))
	51.3%	(/.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))))))
▶	60.3%	(/.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))))
▶	99.7%	(+.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)))))
▶	70.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	61.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	60.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
	38.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Compiler

Compiled 270 to 166 computations (38.5% saved)

simplify213.0ms (4.7%)

Memory

60.5MiB live, 279.0MiB allocated; 43ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	1	(+.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)))))
cost-diff	5	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
cost-diff	0	(.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))
cost-diff	0	(/.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))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
cost-diff	1	(-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	170
0	38	152
1	81	152
2	195	152
3	668	152
4	2180	152
5	6863	152
0	8182	148

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (2.6%)

Memory

-27.3MiB live, 85.1MiB allocated; 8ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(+.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)))))
accuracy	0.234375	(.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
accuracy	0.4850387695368841	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
accuracy	0.0078125	(-.f64 x (*.f64 (sqrt.f64 x) y))
accuracy	0.1484375	(.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))
accuracy	0.234375	(*.f64 (sqrt.f64 x) y)
accuracy	24.722564078784288	(/.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))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.12109375	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy	19.12985083921643	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	24.47196674466073	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.09375	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

104.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 164 to 22 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-add: 38.0ms (42.2% of total)

ival-pow: 36.0ms (40% of total)

ival-mult: 7.0ms (7.8% of total)

ival-sub: 4.0ms (4.4% of total)

ival-div: 2.0ms (2.2% of total)

ival-sqrt: 2.0ms (2.2% 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)

series28.0ms (0.6%)

Memory

-18.9MiB live, 25.5MiB allocated; 6ms collecting garbage

Counts

15 → 117

Calls

Call 1

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

Outputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- 1 (* x (pow y 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2)))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (- 1 (* (sqrt x) y))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (- (+ 1 x) (* (sqrt x) y))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (+ (* -2 (* (sqrt (pow x 3)) y)) (* x (pow y 2)))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (+ (* x (+ x (* -2 (* (sqrt x) y)))) (* x (pow y 2)))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* y (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (- x (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2)))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- 1 (* (sqrt (/ 1 x)) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x)))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* y (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- 1 (pow x 2))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ x (* -1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (pow x 2)) (+ 1 x))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (pow x 2)))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (+ (* -2 (* (sqrt (pow x 3)) y)) (pow x 2))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (+ (* y (+ (* -2 (sqrt (pow x 3))) (* x y))) (pow x 2))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 x))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2))))))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* y (- (+ (/ 1 y) (/ x y)) (sqrt x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow y 2) (+ x (* -2 (* (sqrt (pow x 3)) (/ 1 y)))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow y 2) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* y (- (/ x y) (sqrt x)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 (sqrt (pow x 3)))) y))))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y)))
3.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y)))
3.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y)))
3.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y)))
2.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y)))

simplify200.0ms (4.4%)

Memory

7.6MiB live, 233.7MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	446	3366
1	1139	3237
2	4391	3158
0	8248	2990

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 117

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- 1 (* x (pow y 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2)))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (- 1 (* (sqrt x) y))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (- (+ 1 x) (* (sqrt x) y))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (+ (* -2 (* (sqrt (pow x 3)) y)) (* x (pow y 2)))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (+ (* x (+ x (* -2 (* (sqrt x) y)))) (* x (pow y 2)))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* y (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (- x (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2)))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- 1 (* (sqrt (/ 1 x)) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x)))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (- 1 (* (sqrt (/ 1 x)) y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* y (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- 1 (pow x 2))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ x (* -1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (pow x 2)) (+ 1 x))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (pow x 2)))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (+ (* -2 (* (sqrt (pow x 3)) y)) (pow x 2))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (+ (* y (+ (* -2 (sqrt (pow x 3))) (* x y))) (pow x 2))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 x))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (+ x (* -1 (* (sqrt x) y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2))))))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* y (- (+ (/ 1 y) (/ x y)) (sqrt x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow y 2) (+ x (* -2 (* (sqrt (pow x 3)) (/ 1 y)))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow y 2) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* y (- (/ x y) (sqrt x)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x))))
#s(approx (+ 1 (- x (* (sqrt x) y))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) #s(hole binary64 (* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 (sqrt (pow x 3)))) y))))))
#s(approx (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (- x (* (sqrt x) y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x)))))))

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

rewrite100.0ms (2.2%)

Memory

-10.8MiB live, 95.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	142
0	38	97
1	181	97
0	1235	96

Stop Event

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

Counts

15 → 352

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x (.f64 y (sqrt.f64 x))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))))) (+.f64 (pow.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))))
(/.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 (pow.f64 (pow.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))) (.f64 (pow.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))))))
(/.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)) (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #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 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (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 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 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 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))) (.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (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 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (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 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (neg.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
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(.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)
(.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (sqrt.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 x (.f64 (neg.f64 y) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (sqrt.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) x)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) y x)
(fma.f64 (neg.f64 y) (sqrt.f64 x) x)
(fma.f64 y (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (sqrt.f64 x) (neg.f64 y) x)
(-.f64 (/.f64 (.f64 x x) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (*.f64 x x))))
(-.f64 x (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x)
(+.f64 x (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (sqrt.f64 x))))
(+.f64 x (.f64 (.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 x (.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (pow.f64 x #s(literal 1/4 binary64))))
(+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 x)))

eval54.0ms (1.2%)

Memory: 13.0MiB live, 102.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 12 709 to 1 413 computations (88.9% saved)

prune13.0ms (0.3%)

Memory

32.8MiB live, 32.8MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	431	11	442
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	435	15	450

Accuracy

100.0%

Counts

450 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	66.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	15.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)))) #s(approx (+ 1 (- x ( (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))))
	15.3%	(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (.f64 (.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))
	65.9%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
▶	43.3%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (fma.f64 (.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
▶	38.3%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (sqrt.f64 x) y))
▶	69.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
	69.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))
✓	70.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	61.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	60.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
	30.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	66.4%	#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))))

Compiler

Compiled 655 to 387 computations (40.9% saved)

simplify153.0ms (3.4%)

Memory

1.6MiB live, 151.5MiB allocated; 12ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
cost-diff	0	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (fma.f64 (.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff	0	#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))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (sqrt.f64 x) y))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
cost-diff	5	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	241
0	55	241
1	105	235
2	261	233
3	819	233
4	2325	233
5	7600	233
0	8085	222

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (2.2%)

Memory

-14.0MiB live, 84.1MiB allocated; 8ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.234375	(*.f64 (sqrt.f64 x) y)
accuracy	2.1314000588304967	(fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64))
accuracy	16.45531628063395	(/.f64 (fma.f64 (.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
accuracy	19.12985083921643	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (fma.f64 (.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
accuracy	0.0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	0.11328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	4.040209626021523	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	19.12985083921643	#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))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.234375	(*.f64 (sqrt.f64 x) y)
accuracy	39.424325299512944	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (sqrt.f64 x) y))
accuracy	24.47196674466073	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	31.01959730037591	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.0	(pow.f64 x #s(literal 1/4 binary64))
accuracy	0.14453125	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64))
accuracy	0.23828125	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
accuracy	19.12985083921643	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))

Samples

79.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 181 to 32 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sqrt: 25.0ms (39.1% of total)

ival-mult: 16.0ms (25% of total)

ival-add: 7.0ms (11% of total)

ival-sub: 5.0ms (7.8% of total)

ival-pow: 5.0ms (7.8% of total)

ival-div: 4.0ms (6.3% of total)

ival-neg: 1.0ms (1.6% 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)

series168.0ms (3.7%)

Memory

-23.8MiB live, 206.1MiB allocated; 43ms collecting garbage

Counts

18 → 91

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
60.0ms	y	@	0	((+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (* (pow x 1/4) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) (+ (* (* y y) (neg x)) 1) (* y y) (sqrt (/ 1 x)))
47.0ms	x	@	0	((+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (* (pow x 1/4) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) (+ (* (* y y) (neg x)) 1) (* y y) (sqrt (/ 1 x)))
26.0ms	x	@	-inf	((+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (* (pow x 1/4) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) (+ (* (* y y) (neg x)) 1) (* y y) (sqrt (/ 1 x)))
10.0ms	y	@	-inf	((+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (* (pow x 1/4) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) (+ (* (* y y) (neg x)) 1) (* y y) (sqrt (/ 1 x)))
9.0ms	y	@	inf	((+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (* (pow x 1/4) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) (+ (* (* y y) (neg x)) 1) (* y y) (sqrt (/ 1 x)))

simplify181.0ms (4%)

Memory

39.5MiB live, 183.4MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	2901
1	1165	2658
2	5029	2579
0	8416	2451

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 91

Calls

Call 1

Inputs
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (* (pow x 1/4) y) #s(hole binary64 (* (pow (* 1 x) 1/4) y)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (* y x) (sqrt (/ 1 x))) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (/ 1 (- 1 (* (sqrt x) y)))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (+ (* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))))
#s(approx (+ (* (* y y) (neg x)) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) (neg x)) 1) #s(hole binary64 (+ 1 (* -1 (* x (pow y 2))))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- 1 (* (sqrt (/ 1 x)) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (* y x) (sqrt (/ 1 x))) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (* y x) (sqrt (/ 1 x))) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt x) y)))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* (sqrt x) y) (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y)))))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (+ (* (sqrt x) y) (/ 1 (* x (pow y 2))))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y))))))
#s(approx (+ (* (* y y) (neg x)) 1) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (+ (* (* y y) (neg x)) 1) #s(hole binary64 (* x (+ (* -1 (pow y 2)) (/ 1 x)))))
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (* (pow x 1/4) y) #s(hole binary64 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (* (* y x) (sqrt (/ 1 x))) 1) #s(hole binary64 (* (sqrt x) (* y (pow (sqrt -1) 2)))))
#s(approx (+ (* (* y x) (sqrt (/ 1 x))) 1) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 4)))))) x))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (+ (* (* y y) (neg x)) 1) #s(hole binary64 (* -1 (* x (- (pow y 2) (/ 1 x))))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) #s(hole binary64 1))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (pow x 2)) (+ 1 x))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (+ (* (* y x) (sqrt (/ 1 x))) 1) #s(hole binary64 1))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 1))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (* y x) (sqrt (/ 1 x))) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (* y y) (neg x)) 1) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ 1 (pow y 2))))))
#s(approx (+ (* (pow x 1/4) (* (pow x 1/4) y)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (* y x) (sqrt (/ 1 x))) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (/ (+ (* (* y y) (neg x)) 1) (- 1 (* (sqrt x) y))) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))

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

rewrite261.0ms (5.8%)

Memory

-14.6MiB live, 213.2MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	211
0	55	183
1	234	149
2	1805	145
0	8535	130

Stop Event

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

Counts

18 → 823

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (fma.f64 (.f64 y y) x #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(.f64 (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (fma.f64 (*.f64 y y) x #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 (*.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) x) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (.f64 (.f64 y y) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (.f64 (.f64 y y) x))) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 y y) x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 y y) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 y y) x) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(/.f64 (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 2 binary64) (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (.f64 (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal -2 binary64))) (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 (*.f64 y y) x) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) x) (.f64 (sqrt.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (fma.f64 (.f64 y y) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) x) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) x) (.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (fma.f64 (.f64 y y) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(neg.f64 (/.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 y y) (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 y y) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) (neg.f64 y)) (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (fma.f64 (*.f64 y y) x #s(literal -1 binary64)))) (/.f64 (neg.f64 y) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) (neg.f64 y)) (/.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (neg.f64 y) (fma.f64 (.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
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(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.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 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/8 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))

eval105.0ms (2.3%)

Memory: 17.4MiB live, 164.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 24 661 to 2 372 computations (90.4% saved)

prune23.0ms (0.5%)

Memory

15.2MiB live, 59.5MiB allocated; 8ms collecting garbage

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	652	6	658
Fresh	5	2	7
Picked	2	3	5
Done	0	3	3
Total	659	14	673

Accuracy

100.0%

Counts

673 → 14

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))
	66.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	46.7%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
▶	34.7%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x)))
	38.2%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (/.f64 x (sqrt.f64 x)) y))
✓	38.3%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (sqrt.f64 x) y))
▶	12.1%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y y) x)))
▶	69.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64)))
✓	70.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	61.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	30.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	66.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	66.4%	#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))))

Compiler

Compiled 523 to 296 computations (43.4% saved)

simplify175.0ms (3.9%)

Memory

-29.6MiB live, 202.7MiB allocated; 26ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff	2	(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
cost-diff	3	(fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff	0	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x)))
cost-diff	2	(.f64 (.f64 y x) #s(literal 1 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y y) x)))
cost-diff	1	(sqrt.f64 (.f64 (.f64 y y) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64)))
cost-diff	2	(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
cost-diff	5	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	251
0	60	245
1	112	231
2	293	220
3	1084	215
4	4208	213
0	8587	199

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 2 binary64)
y
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y y) x)))
(sqrt.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
y
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 y x)
y
x
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 2 binary64)
y
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y y) x)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fabs.f64 (*.f64 (sqrt.f64 x) y)))
(sqrt.f64 (.f64 (.f64 y y) x))
(fabs.f64 (*.f64 (sqrt.f64 x) y))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 x (sqrt.f64 x)) y)
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 y x)
y
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 y x)
y
x
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize139.0ms (3.1%)

Memory

-3.8MiB live, 174.1MiB allocated; 48ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	0.46322250976844204	(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
accuracy	4.040209626021523	(fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	19.12985083921643	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(sqrt.f64 x)
accuracy	8.754127500278535	(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x))
accuracy	39.424325299512944	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x)))
accuracy	0.0	(*.f64 y y)
accuracy	5.539357904554556	(.f64 (.f64 y y) x)
accuracy	20.737229592516833	(sqrt.f64 (.f64 (.f64 y y) x))
accuracy	50.995523168848095	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y y) x)))
accuracy	0.0	(neg.f64 x)
accuracy	24.47196674466073	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	33.070925186398625	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.14453125	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64))
accuracy	0.23828125	(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y)
accuracy	0.537441259768442	(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
accuracy	19.12985083921643	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64)))

Samples

93.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 187 to 37 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-pow: 14.0ms (26.7% of total)

ival-mult: 14.0ms (26.7% of total)

ival-add: 6.0ms (11.4% of total)

ival-pow2: 5.0ms (9.5% of total)

ival-sub: 4.0ms (7.6% of total)

ival-sqrt: 4.0ms (7.6% of total)

ival-div: 3.0ms (5.7% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

series87.0ms (1.9%)

Memory

-18.6MiB live, 74.3MiB allocated; 5ms collecting garbage

Counts

21 → 78

Calls

Call 1

Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 (.f64 (.f64 y y) x))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y y) x)))
(.f64 (.f64 y y) x)
(*.f64 y y)
(.f64 (.f64 y x) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 y x)
(fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y)
(sqrt.f64 x)

Outputs
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (pow (pow x 1/8) 2) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (* (* y y) x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (* y x) 1) #s(hole binary64 (* x y)))
#s(approx (/ (* (* y x) 1) (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (pow (pow x -1/4) 2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (pow (pow x 1/8) 2) y) #s(hole binary64 (* (pow (* 1 x) 1/4) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- 1 (* (sqrt (/ 1 x)) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x)))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (pow (pow x 1/8) 2) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (sqrt (* (* y y) x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* (sqrt x) (* y (pow (sqrt -1) 2)))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (pow (pow x -1/4) 2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (* (pow (pow x 1/8) 2) y) #s(hole binary64 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 1))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (pow x 2)) (+ 1 x))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 1))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (sqrt (* (* y y) x)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	((+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (pow (pow x 1/8) 2) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (sqrt (* (* y y) x)) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (* y y) x) (* y y) (* (* y x) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (* (* y x) 1) (sqrt x)) (* y x) (+ (* (* y x) (pow (pow x -1/4) 2)) 1) (pow (pow x -1/4) 2) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (pow (pow x 1/8) 2) y) (sqrt x))
16.0ms	y	@	-inf	((+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (pow (pow x 1/8) 2) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (sqrt (* (* y y) x)) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (* y y) x) (* y y) (* (* y x) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (* (* y x) 1) (sqrt x)) (* y x) (+ (* (* y x) (pow (pow x -1/4) 2)) 1) (pow (pow x -1/4) 2) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (pow (pow x 1/8) 2) y) (sqrt x))
11.0ms	x	@	-inf	((+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (pow (pow x 1/8) 2) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (sqrt (* (* y y) x)) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (* y y) x) (* y y) (* (* y x) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (* (* y x) 1) (sqrt x)) (* y x) (+ (* (* y x) (pow (pow x -1/4) 2)) 1) (pow (pow x -1/4) 2) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (pow (pow x 1/8) 2) y) (sqrt x))
10.0ms	y	@	0	((+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (pow (pow x 1/8) 2) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (sqrt (* (* y y) x)) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (* y y) x) (* y y) (* (* y x) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (* (* y x) 1) (sqrt x)) (* y x) (+ (* (* y x) (pow (pow x -1/4) 2)) 1) (pow (pow x -1/4) 2) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (pow (pow x 1/8) 2) y) (sqrt x))
9.0ms	x	@	inf	((+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (pow (pow x 1/8) 2) (+ (- 1 x) (* y (sqrt x))) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (sqrt (* (* y y) x)) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (* y y) x) (* y y) (* (* y x) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/ (* (* y x) 1) (sqrt x)) (* y x) (+ (* (* y x) (pow (pow x -1/4) 2)) 1) (pow (pow x -1/4) 2) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (pow (pow x 1/8) 2) y) (sqrt x))

simplify178.0ms (3.9%)

Memory

15.3MiB live, 192.9MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	2391
1	899	2231
2	3700	2094
0	8244	1942

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 78

Calls

Call 1

Inputs
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (pow (pow x 1/8) 2) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (* (* y y) x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (* y x) 1) #s(hole binary64 (* x y)))
#s(approx (/ (* (* y x) 1) (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (pow (pow x -1/4) 2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (pow (pow x 1/8) 2) y) #s(hole binary64 (* (pow (* 1 x) 1/4) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- 1 (* (sqrt (/ 1 x)) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x)))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (pow (pow x 1/8) 2) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (sqrt (* (* y y) x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* (sqrt x) (* y (pow (sqrt -1) 2)))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (pow (pow x -1/4) 2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (* (pow (pow x 1/8) 2) y) #s(hole binary64 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 1))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (pow x 2)) (+ 1 x))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 1))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (sqrt (* (* y y) x)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))

Outputs
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (pow (pow x 1/8) 2) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (pow (pow x 1/8) 2) (pow.f64 x #s(literal 1/4 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (pow (pow x 1/8) 2) (pow.f64 x #s(literal 1/4 binary64)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (neg x) (neg.f64 x))
#s(approx (sqrt (* (* y y) x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt (* (* y y) x)) (*.f64 (sqrt.f64 x) y))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (fma.f64 (.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) x (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))))
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#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (* y y) x) (.f64 (.f64 y y) x))
#s(approx (* (* y x) 1) #s(hole binary64 (* x y)))
#s(approx (* (* y x) 1) (*.f64 y x))
#s(approx (/ (* (* y x) 1) (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (* (* y x) 1) (sqrt x)) (*.f64 (sqrt.f64 x) y))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (* y x) 1) (*.f64 y x))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (pow (pow x -1/4) 2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (pow (pow x -1/4) 2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (* (pow (pow x 1/8) 2) y) #s(hole binary64 (* (pow (* 1 x) 1/4) y)))
#s(approx (* (pow (pow x 1/8) 2) y) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#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))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) (-.f64 #s(literal 1 binary64) x)))
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#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- 1 (* (sqrt (/ 1 x)) y))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x)))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (.f64 (-.f64 (.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
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#s(approx (pow (pow x 1/8) 2) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
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#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
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#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (sqrt (* (* y y) x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (* y y) x)) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* (sqrt x) (* y (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (*.f64 (neg.f64 y) (sqrt.f64 x)))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (.f64 (-.f64 (.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (pow (pow x -1/4) 2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (pow (pow x -1/4) 2) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) 1) (.f64 (-.f64 (.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (* (pow (pow x 1/8) 2) y) #s(hole binary64 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))))
#s(approx (* (pow (pow x 1/8) 2) y) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) y))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 1))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (/ (- 1 (pow x 2)) (+ 1 x))))
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#s(approx (* y y) (*.f64 y y))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 1))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
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#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y))
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#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y))))))
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#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) (sqrt.f64 x)) (/.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) y) y)) (/.f64 (-.f64 #s(literal -1 binary64) x) y)) y))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x x)))) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 y y))) (fma.f64 #s(literal -2 binary64) (/.f64 x y) (sqrt.f64 x))) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) (+.f64 #s(literal 1 binary64) x)) y))) y))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (sqrt (* (* y y) x)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (sqrt (* (* y y) x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y)) y))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) y)) (-.f64 #s(literal -1 binary64) x)) y)) y))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y)))))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) y) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) y) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1 binary64) x)))) y)) y))
#s(approx (+ (* (* y x) (pow (pow x -1/4) 2)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (pow x 1/4) (* (pow (pow x 1/8) 2) y)) 1) (neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (+ (* (sqrt x) y) 1) (neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) #s(literal -1 binary64))))

rewrite91.0ms (2%)

Memory

-22.6MiB live, 83.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	225
0	60	193
1	244	161
0	1719	149

Stop Event

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

Counts

21 → 192

Calls

Call 1

Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 (.f64 (.f64 y y) x))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y y) x)))
(.f64 (.f64 y y) x)
(*.f64 y y)
(.f64 (.f64 y x) #s(literal 1 binary64))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 y x)
(fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y)
(sqrt.f64 x)

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(fma.f64 (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) #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))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #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 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 y (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/8 binary64))))
(.f64 (pow.f64 x #s(literal 1/16 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 y y) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y x)))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fabs.f64 y))
(pow.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 y y) x))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fabs.f64 y) (sqrt.f64 x)))
(.f64 (.f64 y #s(literal 1 binary64)) (*.f64 y x))
(.f64 (.f64 x (fabs.f64 y)) (fabs.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) x))
(.f64 (.f64 (neg.f64 y) x) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.f64 (.f64 y x) y)
(.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (fabs.f64 y) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 y (neg.f64 y)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 y x)
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 y x))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x)
(.f64 (.f64 (*.f64 y x) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) x) y)
(.f64 (.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 y x))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y x)))
(.f64 (.f64 y x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y x) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y (/.f64 x (sqrt.f64 x))))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(.f64 y (.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 y (.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 x (/.f64 y (sqrt.f64 x)))
(.f64 x (.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 x)))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 (sqrt.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 y x)
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 x (sqrt.f64 x)))) (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 y (/.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 x (sqrt.f64 x)))) (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y x) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) y #s(literal 1 binary64))
(fma.f64 (*.f64 y (/.f64 x (sqrt.f64 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 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 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 #s(literal 1 binary64) (*.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64)) (fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal -1 binary64))))
(-.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) #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 (.f64 (neg.f64 y) x) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (.f64 (pow.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 x (sqrt.f64 x)))) (pow.f64 (.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 x (sqrt.f64 x)))) (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))))
(+.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal -1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))))
(.f64 (pow.f64 x #s(literal -1/8 binary64)) (.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 y (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval50.0ms (1.1%)

Memory: 12.8MiB live, 56.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 7 280 to 877 computations (88% saved)

prune17.0ms (0.4%)

Memory

4.7MiB live, 47.6MiB allocated; 6ms collecting garbage

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	228	3	231
Fresh	0	3	3
Picked	2	3	5
Done	0	6	6
Total	230	15	245

Accuracy

100.0%

Counts

245 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	66.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	46.7%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
	34.7%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
	38.2%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (/.f64 x (sqrt.f64 x)) y))
✓	38.3%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (sqrt.f64 x) y))
	13.2%	#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y x) y)))
✓	69.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64)))
✓	70.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	61.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	30.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	66.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	66.4%	#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))))
	70.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))

Compiler

Compiled 1 040 to 317 computations (69.5% saved)

regimes60.0ms (1.3%)

Memory

0.2MiB live, 53.0MiB allocated; 14ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 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 (sqrt.f64 x) y))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.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))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y x) y)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (sqrt.f64 (.f64 (.f64 y y) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (/.f64 x (sqrt.f64 x)) y))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (sqrt.f64 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (fma.f64 (.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (.f64 (.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)))) #s(approx (+ 1 (- x ( (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(/.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))))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.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))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(+.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)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) y) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))

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

Calls

3 calls:

43.0ms	x
8.0ms	y
7.0ms	(+.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)

regimes8.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms 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 (- 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 (sqrt.f64 x) y))
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.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:

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

Results

Accuracy	Segments	Branch
98.1%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
98.6%	2	`x`
98.0%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes23.0ms (0.5%)

Memory

-26.0MiB live, 17.6MiB allocated; 5ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

18.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.0%	3	`y`
85.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
81.4%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0.1%)

Memory

11.1MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

24.1MiB live, 24.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
61.8%	1	`x`
61.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
61.8%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory

-29.4MiB live, 16.1MiB allocated; 3ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
1.0ms	y
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
61.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
60.7%	2	`x`
35.9%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
32.1%	1	`y`
32.1%	1	`x`
32.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch10.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.03125228919345399	0.21413517144423488

Samples

4.0ms	85×	0	valid
1.0ms	8×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 155 to 138 computations (11% saved)

Precisions

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

ival-add: 1.0ms (33.6% of total)

ival-mult: 1.0ms (33.6% of total)

ival-sub: 1.0ms (33.6% of total)

ival-sqrt: 1.0ms (33.6% 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)

bsearch67.0ms (1.5%)

Memory

-7.0MiB live, 38.3MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.612468564811206e+76	1.3680953607494694e+80
53.0ms	-1.3031811522098608e+53	-7.35754822939582e+44

Samples

54.0ms

272×

valid

Compiler

Compiled 453 to 403 computations (11% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (28.4% of total)

ival-mult: 2.0ms (28.4% of total)

ival-sqrt: 2.0ms (28.4% of total)

ival-add: 1.0ms (14.2% 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)

bsearch49.0ms (1.1%)

Memory

-30.6MiB live, 32.3MiB allocated; 14ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.3680953607494694e+80	1.0281637876938931e+82
7.0ms	-1.154631323833713e+86	-5.509918088621022e+85

Samples

40.0ms

192×

valid

Compiler

Compiled 311 to 276 computations (11.3% saved)

Precisions

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

ival-sub: 1.0ms (19.1% of total)

ival-add: 1.0ms (19.1% of total)

ival-mult: 1.0ms (19.1% of total)

ival-sqrt: 1.0ms (19.1% 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

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1825.3581734302436	0.9469065979002521

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify50.0ms (1.1%)

Memory

10.6MiB live, 54.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	170
1	61	170
2	77	170
3	107	170
4	164	170
5	424	170
6	3305	170
7	5857	170

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 7566047373982433/36028797018963968 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 -11999999999999999918651384092339535717540501303328768 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 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 -107999999999999993298019468764209742423057607956952203460759198409874141144094938759168 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 1149999999999999941067849380582806162601237041519191125250026577906257146987675648 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.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 -1000 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 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 7566047373982433/36028797018963968 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 -11999999999999999918651384092339535717540501303328768 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 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 -11999999999999999918651384092339535717540501303328768 binary64)) (not (<=.f64 y #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 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 -107999999999999993298019468764209742423057607956952203460759198409874141144094938759168 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 1149999999999999941067849380582806162601237041519191125250026577906257146987675648 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))))
(if (or (<=.f64 y #s(literal -107999999999999993298019468764209742423057607956952203460759198409874141144094938759168 binary64)) (not (<=.f64 y #s(literal 1149999999999999941067849380582806162601237041519191125250026577906257146987675648 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -1000 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 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)))

derivations108.0ms (2.4%)

Memory

-7.4MiB live, 138.5MiB allocated; 16ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 170 to 44 computations (74.1% saved)

preprocess35.0ms (0.8%)

Memory: 7.0MiB live, 99.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 356 to 102 computations (71.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze9.0ms (0.2%)

sample944.0ms (20.9%)

explain98.0ms (2.2%)

preprocess232.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify165.0ms (3.6%)

localize58.0ms (1.3%)

series5.0ms (0.1%)

simplify57.0ms (1.2%)

rewrite57.0ms (1.3%)

eval5.0ms (0.1%)

prune13.0ms (0.3%)

simplify213.0ms (4.7%)

localize119.0ms (2.6%)

series28.0ms (0.6%)

simplify200.0ms (4.4%)

rewrite100.0ms (2.2%)

eval54.0ms (1.2%)

prune13.0ms (0.3%)

simplify153.0ms (3.4%)

localize98.0ms (2.2%)

series168.0ms (3.7%)

simplify181.0ms (4%)

rewrite261.0ms (5.8%)

eval105.0ms (2.3%)

prune23.0ms (0.5%)

simplify175.0ms (3.9%)

localize139.0ms (3.1%)

series87.0ms (1.9%)

simplify178.0ms (3.9%)

rewrite91.0ms (2%)

eval50.0ms (1.1%)

prune17.0ms (0.4%)

regimes60.0ms (1.3%)

regimes8.0ms (0.2%)

regimes23.0ms (0.5%)

regimes2.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.2%)

bsearch67.0ms (1.5%)

bsearch49.0ms (1.1%)

bsearch0.0ms (0%)

simplify50.0ms (1.1%)

derivations108.0ms (2.4%)

preprocess35.0ms (0.8%)

end0.0ms (0%)

Profiling