Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample670.0ms (51.3%)

Memory

20.3MiB live, 932.5MiB allocated; 215ms collecting garbage

Samples

393.0ms	8 246×	0	valid
1.0ms	9×	2	valid
0.0ms	1×	1	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-add!: 73.0ms (38% of total)

ival-sqrt: 72.0ms (37.5% of total)

ival-div!: 45.0ms (23.4% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain87.0ms (6.7%)

Memory

-23.4MiB live, 121.6MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

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

46.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div!: 21.0ms (62.2% of total)

ival-add!: 8.0ms (23.7% of total)

ival-sqrt: 4.0ms (11.8% of total)

adjust: 0.0ms (0% of total)

preprocess63.0ms (4.8%)

Memory

-14.4MiB live, 37.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	24	27
2	34	27
3	60	27
4	138	27
5	597	24
6	5534	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 16 to 12 computations (25% saved)

series6.0ms (0.5%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

6 → 41

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

2.0ms

inf

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

1.0ms

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

rewrite80.0ms (6.1%)

Memory

28.4MiB live, 75.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	968
0	215	773
0	1342	741

Stop Event

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

Counts

47 → 57

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Outputs
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))))))))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))

eval20.0ms (1.6%)

Memory: -35.2MiB live, 11.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 978 to 280 computations (71.4% saved)

prune4.0ms (0.3%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Accuracy

100.0%

Counts

53 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	71.0%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	70.5%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)))
	19.3%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
▶	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶	32.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 180 to 136 computations (24.4% saved)

series5.0ms (0.4%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

17 → 45

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 2))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8)
1.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8)
1.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8)

Time

Variable

Point

Expression

2.0ms

-inf

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8)

1.0ms

inf

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8)

1.0ms

((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8)

rewrite64.0ms (4.9%)

Memory

1.9MiB live, 98.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	968
0	212	802
0	1179	788

Stop Event

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

Counts

62 → 90

Calls

Call 1

Inputs
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
x
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 2))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))

Outputs
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
x
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal -1/8 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/8 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(literal -1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* 1/2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 1/2 x) 2) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt x) 1) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/8 x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))))))))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt x) 1) (sqrt.f64 x))
#s(approx (- (sqrt x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (* (+ (* -1/8 x) 1/2) x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
#s(approx (* (+ (* -1/8 x) 1/2) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ (* -1/8 x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))

eval8.0ms (0.6%)

Memory: 23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 526 to 338 computations (77.9% saved)

prune7.0ms (0.5%)

Memory

-32.6MiB live, 14.0MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	76	7	83

Accuracy

100.0%

Counts

83 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	71.0%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	70.5%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)))
▶	19.3%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
✓	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	32.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 94 to 71 computations (24.5% saved)

series9.0ms (0.7%)

Memory

36.2MiB live, 36.2MiB allocated; 0ms collecting garbage

Counts

13 → 34

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) 1))) x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (/ (+ (sqrt (pow x 3)) (* 1/2 (sqrt x))) x)))
#s(approx (/ (* (pow x 3/2) -1/2) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* (pow x 3/2) -1/2) #s(hole binary64 (* -1/2 (sqrt (pow x 3)))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (* (pow x 3/2) -1/2) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/ (* (pow x 3/2) -1/2) (* x x)) (* (pow x 3/2) -1/2) (pow x 3/2) x 3/2 -1/2 (* x x) -1 (sqrt x) 1)
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/ (* (pow x 3/2) -1/2) (* x x)) (* (pow x 3/2) -1/2) (pow x 3/2) x 3/2 -1/2 (* x x) -1 (sqrt x) 1)
2.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/ (* (pow x 3/2) -1/2) (* x x)) (* (pow x 3/2) -1/2) (pow x 3/2) x 3/2 -1/2 (* x x) -1 (sqrt x) 1)

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite50.0ms (3.8%)

Memory

-4.7MiB live, 89.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	887
0	185	730
0	1031	718

Stop Event

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

Counts

47 → 86

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x))
(/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal -1 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) 1))) x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (/ (+ (sqrt (pow x 3)) (* 1/2 (sqrt x))) x)))
#s(approx (/ (* (pow x 3/2) -1/2) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* (pow x 3/2) -1/2) #s(hole binary64 (* -1/2 (sqrt (pow x 3)))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (* (pow x 3/2) -1/2) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (sqrt.f64 x)) (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (sqrt.f64 x)) (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 (sqrt.f64 x) (-.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)))) (-.f64 (sqrt.f64 x) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x))) (.f64 (sqrt.f64 x) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (sqrt.f64 x))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 x) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 (sqrt.f64 x) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)))
(+.f64 (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) x) x)
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (.f64 x x)))
(/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x))
(+.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 x x)) (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
x
#s(literal 3/2 binary64)
#s(literal -1/2 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (/.f64 (fma.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) x))
#s(approx (/ (* (pow x 3/2) -1/2) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (pow x 3/2) -1/2) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (pow x 3/2) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (sqrt.f64 x))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (sqrt.f64 x))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (neg.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (* (pow x 3/2) -1/2) (* x x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (* (pow x 3/2) -1/2) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (pow x 3/2) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))

eval14.0ms (1.1%)

Memory: -22.7MiB live, 25.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 276 to 417 computations (81.7% saved)

prune3.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	72	7	79

Accuracy

100.0%

Counts

79 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	71.0%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	70.5%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)))
✓	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	20.0%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(literal 1 binary64)))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	32.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 105 to 79 computations (24.8% saved)

series6.0ms (0.5%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

11 → 41

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) 1))) x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (/ (+ (sqrt (pow x 3)) (* 1/2 (sqrt x))) x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (/ (+ (sqrt (pow x 3)) (* 1/2 (sqrt x))) x)))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (+ (sqrt (pow x 3)) (* 1/2 (sqrt x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (sqrt x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) (+ (* (sqrt x) 1/2) (pow x 3/2)) (sqrt x) x 1/2 (pow x 3/2) 3/2 1)
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) (+ (* (sqrt x) 1/2) (pow x 3/2)) (sqrt x) x 1/2 (pow x 3/2) 3/2 1)
1.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) (+ (* (sqrt x) 1/2) (pow x 3/2)) (sqrt x) x 1/2 (pow x 3/2) 3/2 1)

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite55.0ms (4.2%)

Memory

-8.9MiB live, 85.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1105
0	190	904
0	1106	889

Stop Event

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

Counts

52 → 71

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(literal 1 binary64))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(literal 1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) 1))) x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (/ (+ (sqrt (pow x 3)) (* 1/2 (sqrt x))) x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (/ (+ (sqrt (pow x 3)) (* 1/2 (sqrt x))) x)))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (+ (sqrt (pow x 3)) (* 1/2 (sqrt x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (sqrt x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ ( (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x))) #s(literal 1 binary64)) (+.f64 #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(literal 1 binary64)))))
(-.f64 #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(literal 1 binary64))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x)
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(-.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
#s(literal 3/2 binary64)
#s(literal 1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (/.f64 (fma.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) x))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (pow x 3/2) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))))))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (sqrt.f64 x))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (sqrt.f64 x))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) (sqrt.f64 x))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) (.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) 1) (neg.f64 (.f64 (fma.f64 (/.f64 (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) (neg.f64 (sqrt.f64 x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (pow x 3/2)) x) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
#s(approx (+ (* (sqrt x) 1/2) (pow x 3/2)) (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (pow x 3/2) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))

eval6.0ms (0.5%)

Memory: 13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 321 to 363 computations (84.4% saved)

prune6.0ms (0.5%)

Memory

-37.0MiB live, 9.8MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	58	7	65

Accuracy

100.0%

Counts

65 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	71.0%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	70.5%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)))
✓	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	20.0%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 #s(approx (+ (* (/ (* (pow x 3/2) -1/2) (* x x)) -1) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) x)) #s(literal 1 binary64)))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	32.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 234 to 130 computations (44.4% saved)

regimes6.0ms (0.5%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.3%)

Memory

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

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
99.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.3%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
99.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.6%)

Memory

-44.0MiB live, 8.0MiB allocated; 9ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

Outputs
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))

Calls

2 calls:

6.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
98.9%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.9%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)))

Outputs
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Calls

2 calls:

3.0ms	x
1.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.3%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Calls

2 calls:

1.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
32.2%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
32.2%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (1%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.04272955327114707	2375949136352.609

Samples

6.0ms

160×

valid

Compiler

Compiled 271 to 230 computations (15.1% saved)

Precisions

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

ival-sqrt: 1.0ms (34.5% of total)

ival-add!: 1.0ms (34.5% of total)

ival-div!: 1.0ms (34.5% of total)

adjust: 0.0ms (0% of total)

bsearch9.0ms (0.7%)

Memory

-36.4MiB live, 10.7MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.04272955327114707	2375949136352.609

Samples

5.0ms

64×

valid

Compiler

Compiled 291 to 240 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sqrt: 1.0ms (86.1% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch5.0ms (0.4%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.04272955327114707	2375949136352.609

Samples

2.0ms

48×

valid

Compiler

Compiled 241 to 210 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

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

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

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

bsearch1.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.04272955327114707	2375949136352.609

Compiler

Compiled 221 to 190 computations (14% saved)

derivations14.0ms (1.1%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 133 to 36 computations (72.9% saved)

preprocess71.0ms (5.4%)

Memory: -13.5MiB live, 80.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 282 to 84 computations (70.2% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0.1%)

sample670.0ms (51.3%)

explain87.0ms (6.7%)

preprocess63.0ms (4.8%)

series6.0ms (0.5%)

rewrite80.0ms (6.1%)

eval20.0ms (1.6%)

prune4.0ms (0.3%)

series5.0ms (0.4%)

rewrite64.0ms (4.9%)

eval8.0ms (0.6%)

prune7.0ms (0.5%)

series9.0ms (0.7%)

rewrite50.0ms (3.8%)

eval14.0ms (1.1%)

prune3.0ms (0.2%)

series6.0ms (0.5%)

rewrite55.0ms (4.2%)

eval6.0ms (0.5%)

prune6.0ms (0.5%)

regimes6.0ms (0.5%)

regimes4.0ms (0.3%)

regimes4.0ms (0.3%)

regimes8.0ms (0.6%)

regimes4.0ms (0.3%)

regimes2.0ms (0.2%)

bsearch13.0ms (1%)

bsearch9.0ms (0.7%)

bsearch5.0ms (0.4%)

bsearch1.0ms (0.1%)

derivations14.0ms (1.1%)

preprocess71.0ms (5.4%)

end0.0ms (0%)

Profiling