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

3.1MiB live, 3.1MiB 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)

sample763.0ms (53.1%)

Memory

-11.7MiB live, 698.4MiB allocated; 202ms collecting garbage

Samples

492.0ms	8 254×	0	valid
0.0ms	2×	2	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-sqrt: 188.0ms (67.1% of total)

ival-add!: 50.0ms (17.9% of total)

ival-div!: 40.0ms (14.3% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess74.0ms (5.1%)

Memory

4.6MiB live, 48.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	24	25
2	35	24
3	68	24
4	172	24
5	710	24
6	3204	24
7	7564	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 14 to 12 computations (14.3% saved)

series6.0ms (0.4%)

Memory

15.0MiB live, 15.0MiB 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))

rewrite66.0ms (4.6%)

Memory

-0.5MiB live, 89.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	968
0	215	773
0	1367	737

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) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #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 (fma.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 (fma.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 (fma.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 (fma.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 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (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)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 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)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x)))) (-.f64 (.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (.f64 (*.f64 x x) x)))))) x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x)) (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))) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.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)) x)) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #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 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))

eval6.0ms (0.4%)

Memory: 19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 564 to 281 computations (50.2% saved)

prune5.0ms (0.4%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Accuracy

100.0%

Counts

56 → 10

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)))))
	37.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
▶	67.8%	(/.f64 x #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))))
▶	69.2%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
	15.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
▶	31.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
	68.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
▶	66.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
▶	32.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 207 to 204 computations (1.4% saved)

series16.0ms (1.1%)

Memory

-45.3MiB live, 16.0MiB allocated; 10ms collecting garbage

Counts

18 → 51

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)
#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)
(/.f64 x #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 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 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 (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* x (+ 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 (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 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
7.0ms	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)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))
7.0ms	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)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))
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)))) (- (sqrt x) 1) 1 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))

Time

Variable

Point

Expression

7.0ms

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

7.0ms

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

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

rewrite82.0ms (5.7%)

Memory

30.9MiB live, 78.0MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1083
0	228	909
0	1271	893

Stop Event

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

Counts

69 → 107

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

eval15.0ms (1%)

Memory: -27.6MiB live, 19.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 871 to 449 computations (48.5% saved)

prune5.0ms (0.4%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	3	4
Picked	0	5	5
Done	0	1	1
Total	105	10	115

Accuracy

100.0%

Counts

115 → 10

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)))))
▶	37.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
✓	67.8%	(/.f64 x #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))))
✓	69.2%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	15.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
✓	31.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	68.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	66.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x))
✓	32.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 112 to 110 computations (1.8% saved)

series12.0ms (0.8%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

27 → 94

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x))
(.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
#s(literal 1/16 binary64)
#s(literal -1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x))
(neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x)))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal -1/2 binary64))
(sqrt.f64 (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal -1/2 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)

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 (* (+ (* -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 #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (/ (- (* x (- (sqrt x) 1)) (* -1/2 (sqrt x))) x)))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (/ (- (sqrt (pow x 3)) (* -1/2 (sqrt x))) x)))
#s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* (sqrt (* (* x x) x)) -1/2) #s(hole binary64 (* -1/2 (sqrt (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt x) #s(hole binary64 (sqrt 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 (* (+ (* -1/8 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 (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* 1/16 x)))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x))))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#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 (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (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 (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (* (* x x) x)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (* x x) x)) #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)))))
#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
4.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) 1/2 x (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) 1/16 -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (* (sqrt (* (* x x) x)) -1/2) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) -1/2 (sqrt x) 1 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
3.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) 1/2 x (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) 1/16 -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (* (sqrt (* (* x x) x)) -1/2) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) -1/2 (sqrt x) 1 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
3.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) 1/2 x (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) 1/16 -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (* (sqrt (* (* x x) x)) -1/2) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) -1/2 (sqrt x) 1 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

4.0ms

-inf

((/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) 1/2 x (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) 1/16 -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (* (sqrt (* (* x x) x)) -1/2) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) -1/2 (sqrt x) 1 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

3.0ms

((/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) 1/2 x (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) 1/16 -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (* (sqrt (* (* x x) x)) -1/2) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) -1/2 (sqrt x) 1 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

3.0ms

inf

((/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) 1/2 x (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) 1/16 -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (* (sqrt (* (* x x) x)) -1/2) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) -1/2 (sqrt x) 1 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

rewrite67.0ms (4.6%)

Memory

13.2MiB live, 59.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2169
0	373	1789
0	1944	1738

Stop Event

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

Counts

121 → 200

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x))
(.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
#s(literal 1/16 binary64)
#s(literal -1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x))
(neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x)))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal -1/2 binary64))
(sqrt.f64 (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal -1/2 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#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 (* (+ (* -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 #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (/ (- (* x (- (sqrt x) 1)) (* -1/2 (sqrt x))) x)))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (/ (- (sqrt (pow x 3)) (* -1/2 (sqrt x))) x)))
#s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* (sqrt (* (* x x) x)) -1/2) #s(hole binary64 (* -1/2 (sqrt (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt x) #s(hole binary64 (sqrt 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 (* (+ (* -1/8 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 (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* 1/16 x)))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x))))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#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 (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (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 (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (* (* x x) x)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (* x x) x)) #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)))))
#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
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x))
(.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x)
(.f64 x #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/16 binary64) x)) #s(literal 1/64 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/16 binary64) x) (+.f64 #s(literal 1/64 binary64) (.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))))
(neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) x)))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(+.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))
(+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) x))
#s(literal 1/16 binary64)
#s(literal -1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))) (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)))) #s(literal 1 binary64)) (+.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))) (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal -1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))) #s(literal 1 binary64))
(+.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))) #s(literal -1 binary64))
(+.f64 (sqrt.f64 x) (-.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)))) (-.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))) (.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #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 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))) (.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) (sqrt.f64 x)))))
(fma.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (sqrt.f64 x))
(fma.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal -1 binary64) (sqrt.f64 x))
(-.f64 (sqrt.f64 x) (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)))
(+.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x x))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (neg.f64 (.f64 x x)))
(neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) x) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) x) x)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (neg.f64 (.f64 x x)))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))
(+.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (.f64 x x)) (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (*.f64 x x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x)))) (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x)) (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))))
(-.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (.f64 (*.f64 x x) x))))
(+.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 x))
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)
(.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (sqrt.f64 (.f64 (*.f64 x x) x)))
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 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 -1/2 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))))
(+.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))
(pow.f64 #s(approx (+ x 1) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#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 (fma.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 (fma.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 (* (+ (* -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 x)
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/16 x) -1/8) #s(literal -1/8 binary64))
#s(approx (+ (* 1/16 x) -1/8) (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (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 (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x))
#s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (sqrt (* (* x x) x)) -1/2) (.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)))
#s(approx (sqrt (* (* x x) x)) (sqrt.f64 (.f64 (.f64 x x) x)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (sqrt x) (sqrt.f64 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 (fma.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 (fma.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 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64))) (.f64 x 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)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))))))
#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 (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/16 binary64)))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x)))
#s(approx (+ (* 1/16 x) -1/8) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (+ (* 1/16 x) -1/8) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (sqrt.f64 x))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (sqrt.f64 x))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#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)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x)))) (-.f64 (.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (.f64 (*.f64 x x) x)))))) x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x)) (neg.f64 (sqrt.f64 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)))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (.f64 (.f64 x x) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1/16 binary64))))
#s(approx (+ (* 1/16 x) -1/8) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal -1 binary64)) #s(literal -1/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))) x)))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (* (sqrt (* (* x x) x)) -1/2) (.f64 (neg.f64 (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal -1/2 binary64)))
#s(approx (sqrt (* (* x x) x)) (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))))
#s(approx (sqrt x) (neg.f64 (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))) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.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)) x)) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #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 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))

eval50.0ms (3.5%)

Memory: -19.4MiB live, 38.2MiB allocated; 18ms collecting garbage
Compiler: Compiled 2 215 to 981 computations (55.7% saved)

prune14.0ms (1%)

Memory

-29.7MiB live, 15.2MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	183	3	186
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	184	12	196

Accuracy

100.0%

Counts

196 → 12

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)))))
✓	37.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
✓	67.8%	(/.f64 x #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))))
✓	69.2%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	68.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x)))
▶	33.0%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 #s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)))
✓	31.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	16.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 #s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x)) #s(literal 1 binary64)))
✓	68.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	66.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x))
✓	32.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 159 to 155 computations (2.5% saved)

series12.0ms (0.8%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

27 → 71

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/ (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) x) (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (* (sqrt x) -1/2) (sqrt x) -1/2 1 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (+ (* 1/16 x) -1/8) x) x)) (* (* (+ (* 1/16 x) -1/8) x) x) (* (+ (* 1/16 x) -1/8) x) (+ (* 1/16 x) -1/8) 1/16 -1/8)
3.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/ (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) x) (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (* (sqrt x) -1/2) (sqrt x) -1/2 1 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (+ (* 1/16 x) -1/8) x) x)) (* (* (+ (* 1/16 x) -1/8) x) x) (* (+ (* 1/16 x) -1/8) x) (+ (* 1/16 x) -1/8) 1/16 -1/8)
3.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/ (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) x) (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (* (sqrt x) -1/2) (sqrt x) -1/2 1 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (+ (* 1/16 x) -1/8) x) x)) (* (* (+ (* 1/16 x) -1/8) x) x) (* (+ (* 1/16 x) -1/8) x) (+ (* 1/16 x) -1/8) 1/16 -1/8)

Time

Variable

Point

Expression

5.0ms

-inf

((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/ (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) x) (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (* (sqrt x) -1/2) (sqrt x) -1/2 1 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (+ (* 1/16 x) -1/8) x) x)) (* (* (+ (* 1/16 x) -1/8) x) x) (* (+ (* 1/16 x) -1/8) x) (+ (* 1/16 x) -1/8) 1/16 -1/8)

3.0ms

inf

((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/ (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) x) (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (* (sqrt x) -1/2) (sqrt x) -1/2 1 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (+ (* 1/16 x) -1/8) x) x)) (* (* (+ (* 1/16 x) -1/8) x) x) (* (+ (* 1/16 x) -1/8) x) (+ (* 1/16 x) -1/8) 1/16 -1/8)

3.0ms

((/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/ (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) x) (- (sqrt (* (* x x) x)) (* (sqrt x) -1/2)) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (* (sqrt x) -1/2) (sqrt x) -1/2 1 (/ x (+ 1 (sqrt (+ x 1)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (+ (* 1/16 x) -1/8) x) x)) (* (* (+ (* 1/16 x) -1/8) x) x) (* (+ (* 1/16 x) -1/8) x) (+ (* 1/16 x) -1/8) 1/16 -1/8)

rewrite63.0ms (4.4%)

Memory

-21.3MiB live, 72.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	1871
0	295	1489
0	1485	1442

Stop Event

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

Counts

98 → 172

Calls

Call 1

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

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

eval16.0ms (1.1%)

Memory: 32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 156 to 878 computations (59.3% saved)

prune10.0ms (0.7%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	2	1	3
Done	0	9	9
Total	163	12	175

Accuracy

100.0%

Counts

175 → 12

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)))))
✓	37.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
✓	67.8%	(/.f64 x #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))))
✓	69.2%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	68.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x)))
	33.0%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (sqrt.f64 x) #s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))
✓	31.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
	16.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 #s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) x)) #s(literal 1 binary64)))
✓	68.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	66.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	68.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x))
✓	32.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 306 to 243 computations (20.6% saved)

regimes39.0ms (2.7%)

Memory

-36.3MiB live, 16.3MiB allocated; 4ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
#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 (+.f64 (sqrt.f64 x) #s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(/.f64 x #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 (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 #s(approx (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 #s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 #s(approx (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (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:

7.0ms	x
5.0ms	(/.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 8 to 7 computations (12.5% saved)

regimes5.0ms (0.4%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
#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
97.9%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.9%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.3%)

Memory

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

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 #s(approx (+ ( -1/8 x) 1/2) #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
#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
97.9%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.9%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.3%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #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
96.8%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.8%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
95.9%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
95.9%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB 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
32.7%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
32.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch22.0ms (1.5%)

Memory

-29.4MiB live, 18.3MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.5245702518130978	19.277743340044612

Samples

4.0ms

112×

valid

Compiler

Compiled 151 to 164 computations (-8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (50.5% of total)

ival-add!: 1.0ms (50.5% of total)

ival-div!: 1.0ms (50.5% of total)

adjust: 0.0ms (0% of total)

bsearch8.0ms (0.5%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.5245702518130978	19.277743340044612

Samples

3.0ms

96×

valid

Compiler

Compiled 158 to 171 computations (-8.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (58.4% of total)

ival-add!: 1.0ms (58.4% of total)

adjust: 0.0ms (0% of total)

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

bsearch4.0ms (0.3%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.5245702518130978	19.277743340044612

Samples

2.0ms

48×

valid

Compiler

Compiled 144 to 157 computations (-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

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.5245702518130978	19.277743340044612

Compiler

Compiled 130 to 143 computations (-10% saved)

derivations19.0ms (1.3%)

Memory

-10.6MiB live, 33.1MiB allocated; 9ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 55 to 36 computations (34.5% saved)

preprocess42.0ms (2.9%)

Memory: 8.1MiB live, 104.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 62 to 42 computations (32.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample763.0ms (53.1%)

preprocess74.0ms (5.1%)

series6.0ms (0.4%)

rewrite66.0ms (4.6%)

eval6.0ms (0.4%)

prune5.0ms (0.4%)

series16.0ms (1.1%)

rewrite82.0ms (5.7%)

eval15.0ms (1%)

prune5.0ms (0.4%)

series12.0ms (0.8%)

rewrite67.0ms (4.6%)

eval50.0ms (3.5%)

prune14.0ms (1%)

series12.0ms (0.8%)

rewrite63.0ms (4.4%)

eval16.0ms (1.1%)

prune10.0ms (0.7%)

regimes39.0ms (2.7%)

regimes5.0ms (0.4%)

regimes5.0ms (0.3%)

regimes4.0ms (0.3%)

regimes3.0ms (0.2%)

regimes2.0ms (0.2%)

bsearch22.0ms (1.5%)

bsearch8.0ms (0.5%)

bsearch4.0ms (0.3%)

bsearch1.0ms (0.1%)

derivations19.0ms (1.3%)

preprocess42.0ms (2.9%)

end0.0ms (0%)

Profiling