Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

start0.0ms (0%)

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

analyze25.0ms (1%)

Memory

38.2MiB live, 38.2MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample867.0ms (35.8%)

Memory

5.6MiB live, 979.4MiB allocated; 193ms collecting garbage

Samples

561.0ms	8 252×	0	valid
0.0ms	2×	3	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-div: 129.0ms (42% of total)

ival-mult: 76.0ms (24.7% of total)

ival-sub: 43.0ms (14% of total)

ival-add: 42.0ms (13.7% of total)

exact: 11.0ms (3.6% of total)

adjust: 3.0ms (1% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain121.0ms (5%)

Memory

7.5MiB live, 195.9MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
26	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`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

36.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 11.0ms (52.1% of total)

ival-mult: 4.0ms (19% of total)

ival-sub: 2.0ms (9.5% of total)

ival-add: 2.0ms (9.5% of total)

exact: 1.0ms (4.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess282.0ms (11.6%)

Memory

-1.9MiB live, 176.2MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	76
1	49	72
2	72	70
3	153	70
4	370	70
5	1550	70
6	7339	70
0	9	11
0	14	11
1	21	11
2	31	11
3	68	11
4	206	11
5	1096	11
6	6736	11
0	8551	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

series26.0ms (1.1%)

Memory

-35.9MiB live, 9.9MiB allocated; 5ms collecting garbage

Counts

9 → 50

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 1))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
2.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
2.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
1.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)

rewrite181.0ms (7.5%)

Memory

11.1MiB live, 191.5MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1373
0	297	1253
1	1792	1251
0	8480	1158

Stop Event

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

Counts

59 → 90

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 1))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (+ 1 (* 1/2 (* x y)))))
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* x (+ (* 1/2 y) (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 y) (/ 1 x))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* y (+ (* 1/2 x) (/ 1 y)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))))
#s(approx (+ 1 (/ (* x y) 2)) #s(hole binary64 (* -1 (* y (- (* -1/2 x) (/ 1 y))))))

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

eval11.0ms (0.5%)

Memory: 19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 061 to 441 computations (78.6% saved)

prune87.0ms (3.6%)

Memory

12.1MiB live, 57.4MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	3	94

Accuracy

100.0%

Counts

94 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
	62.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	54.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x))

Status

Accuracy

Program

✓

99.9%

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

62.2%

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

▶

54.4%

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

Compiler

Compiled 54 to 43 computations (20.4% saved)

series19.0ms (0.8%)

Memory

-44.6MiB live, 15.5MiB allocated; 7ms collecting garbage

Counts

15 → 49

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (/ 4 (* (pow x 2) y))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (/ (+ (* -2 x) (* 4 (/ 1 y))) (pow x 2))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (/ (+ (* x (- (pow x 2) 2)) (* 4 (/ 1 y))) (pow x 2))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (/ 4 (* (pow x 3) y))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (/ (+ (* -2 x) (* 4 (/ 1 y))) (pow x 3))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (/ (+ (* x (- (pow x 2) 2)) (* 4 (/ 1 y))) (pow x 3))))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 (/ 4 (* (pow x 3) y))))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 (/ (+ (* 4 (/ 1 y)) (pow x 3)) (pow x 3))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow x -2) 2) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 x))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 1))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (- 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 (+ 1 (* 4 (/ 1 (* (pow x 3) y))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (/ (+ (* x (* y (- 1 (* 2 (/ 1 (pow x 2)))))) (* 4 (/ 1 (pow x 2)))) y)))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (/ (+ (* y (- 1 (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (pow x 3)))) y)))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 (/ (+ y (* 4 (/ 1 (pow x 3)))) y)))
#s(approx (/ 4 y) #s(hole binary64 (/ 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (+ (* x (- 1 (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (* 2 (/ 1 (pow x 2))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (+ (* (/ 4 y) (pow x -3)) 1) (/ 4 y) 4 y (pow x -3) x -3 1 (* (pow x -2) 2) (pow x -2) -2 2)
3.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (+ (* (/ 4 y) (pow x -3)) 1) (/ 4 y) 4 y (pow x -3) x -3 1 (* (pow x -2) 2) (pow x -2) -2 2)
2.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (+ (* (/ 4 y) (pow x -3)) 1) (/ 4 y) 4 y (pow x -3) x -3 1 (* (pow x -2) 2) (pow x -2) -2 2)
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (+ (* (/ 4 y) (pow x -3)) 1) (/ 4 y) 4 y (pow x -3) x -3 1 (* (pow x -2) 2) (pow x -2) -2 2)
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (+ (* (/ 4 y) (pow x -3)) 1) (/ 4 y) 4 y (pow x -3) x -3 1 (* (pow x -2) 2) (pow x -2) -2 2)

rewrite157.0ms (6.5%)

Memory

56.1MiB live, 184.4MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1383
0	234	1270
1	1317	1268
0	8106	1223

Stop Event

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

Counts

64 → 200

Calls

Call 1

Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x)
(-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 2 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (/ 4 (* (pow x 2) y))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (/ (+ (* -2 x) (* 4 (/ 1 y))) (pow x 2))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (/ (+ (* x (- (pow x 2) 2)) (* 4 (/ 1 y))) (pow x 2))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (/ 4 (* (pow x 3) y))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (/ (+ (* -2 x) (* 4 (/ 1 y))) (pow x 3))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (/ (+ (* x (- (pow x 2) 2)) (* 4 (/ 1 y))) (pow x 3))))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 (/ 4 (* (pow x 3) y))))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 (/ (+ (* 4 (/ 1 y)) (pow x 3)) (pow x 3))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow x -2) 2) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 x))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 1))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (- 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 (+ 1 (* 4 (/ 1 (* (pow x 3) y))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (/ (+ (* x (* y (- 1 (* 2 (/ 1 (pow x 2)))))) (* 4 (/ 1 (pow x 2)))) y)))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (/ (+ (* y (- 1 (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (pow x 3)))) y)))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(hole binary64 (/ (+ y (* 4 (/ 1 (pow x 3)))) y)))
#s(approx (/ 4 y) #s(hole binary64 (/ 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) #s(hole binary64 (+ (* x (- 1 (* 2 (/ 1 (pow x 2))))) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(hole binary64 (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (* 2 (/ 1 (pow x 2))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) x))
(.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) x)
(.f64 x (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) (/.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 y))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -3 binary64))))
x
#s(literal -3 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -4 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x)) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x x)) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x)) (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 x x) (neg.f64 (.f64 x x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal -4 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal -4 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))))
#s(literal -2 binary64)
#s(literal 2 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 (+.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (.f64 (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) y))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) y)))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 4 binary64) y)) (*.f64 x x)))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (/.f64 (fma.f64 (-.f64 (.f64 x x) #s(literal 2 binary64)) x (/.f64 #s(literal 4 binary64) y)) (.f64 x x)))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 4 binary64) y)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 2 binary64)) x (/.f64 #s(literal 4 binary64) y)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (pow x -3) (pow.f64 x #s(literal -3 binary64)))
#s(approx x x)
#s(approx (* (pow x -2) 2) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) (pow.f64 x #s(literal -4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) x))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) x)
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) x))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) #s(literal 1 binary64))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) x))) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) x)))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) #s(literal 1 binary64))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)) y x))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) y) x (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) y))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) y (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 4 binary64))) y))
#s(approx (+ (* (/ 4 y) (pow x -3)) 1) (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 4 binary64) y) y))
#s(approx (/ 4 y) (/.f64 #s(literal 4 binary64) y))
#s(approx y y)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64) x) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64) x) (fma.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 x #s(literal -3 binary64)) y) (/.f64 #s(literal 2 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) y))) x) (fma.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 x #s(literal -3 binary64)) y) (/.f64 #s(literal 2 binary64) x))))
#s(approx (* (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) x) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x)))
#s(approx (- (+ (* (/ 4 y) (pow x -3)) 1) (* (pow x -2) 2)) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) y) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) y) (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) y) #s(literal -1 binary64) x) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) y) (pow.f64 x #s(literal -4 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal -3 binary64)))) y) #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -2 binary64)))) y) #s(literal -1 binary64) x) (/.f64 #s(literal 2 binary64) x)))

eval29.0ms (1.2%)

Memory: -23.1MiB live, 36.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 7 627 to 1 044 computations (86.3% saved)

prune371.0ms (15.3%)

Memory

5.4MiB live, 421.7MiB allocated; 72ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	202	3	205

Accuracy

100.0%

Counts

205 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
▶	62.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	54.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x))

Status

Accuracy

Program

✓

99.9%

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

▶

62.2%

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

✓

54.4%

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

Compiler

Compiled 54 to 43 computations (20.4% saved)

series3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

5 → 41

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)
1.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)
0.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)
0.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)
0.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) 2)

rewrite154.0ms (6.4%)

Memory

-19.4MiB live, 168.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	1244
0	266	1128
1	1695	1128
0	8156	1047

Stop Event

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

Counts

46 → 66

Calls

Call 1

Inputs
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (* 1/2 (pow y 2)))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* -1/2 (* x (pow y 2))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ 2 x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- 2 (* 4 (/ 1 (* x y)))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* 1/2 (* x y)) 1)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* -1/2 (* x y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- x (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(hole binary64 (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))))

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

eval8.0ms (0.3%)

Memory: 12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 814 to 337 computations (81.4% saved)

prune34.0ms (1.4%)

Memory

-6.6MiB live, 39.7MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	67	3	70

Accuracy

100.0%

Counts

70 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	62.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	54.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) x))

Status

Accuracy

Program

✓

99.9%

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

✓

62.2%

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

✓

54.4%

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

Compiler

Compiled 108 to 73 computations (32.4% saved)

regimes5.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Accuracy

Total -29.4b remaining (-53726.2%)

Threshold costs -29.4b (-53726.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

simplify28.0ms (1.1%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	26	11
3	56	11
4	216	11
5	2219	11

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 11 to 9 computations (18.2% saved)

preprocess15.0ms (0.6%)

Memory: -29.2MiB live, 16.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 44 to 36 computations (18.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze25.0ms (1%)

sample867.0ms (35.8%)

explain121.0ms (5%)

preprocess282.0ms (11.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series26.0ms (1.1%)

rewrite181.0ms (7.5%)

eval11.0ms (0.5%)

prune87.0ms (3.6%)

series19.0ms (0.8%)

rewrite157.0ms (6.5%)

eval29.0ms (1.2%)

prune371.0ms (15.3%)

series3.0ms (0.1%)

rewrite154.0ms (6.4%)

eval8.0ms (0.3%)

prune34.0ms (1.4%)

regimes5.0ms (0.2%)

simplify28.0ms (1.1%)

derivations0.0ms (0%)

preprocess15.0ms (0.6%)

end0.0ms (0%)

Profiling