Metrics for bug333 (missed optimization)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample1.5s (46.7%)

Memory

52.6MiB live, 1 757.1MiB allocated; 394ms collecting garbage

Samples

578.0ms	3 362×	2	valid
545.0ms	4 765×	1	valid
5.0ms	129×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 910.0ms

ival-sqrt: 436.0ms (47.9% of total)

adjust: 285.0ms (31.3% of total)

ival-add!: 101.0ms (11.1% of total)

ival-sub!: 89.0ms (9.8% of total)

Bogosity

preprocess106.0ms (3.4%)

Memory

-31.8MiB live, 70.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	24	32
2	30	32
3	62	28
4	266	28
5	2403	28

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series5.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

7 → 41

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (sqrt (- 1 x)) (- 1 x))

1.0ms

-inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (sqrt (- 1 x)) (- 1 x))

1.0ms

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (sqrt (- 1 x)) (- 1 x))

rewrite649.0ms (20.9%)

Memory

-35.9MiB live, 245.8MiB allocated; 765ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1243
0	203	1164
1	1108	1158
0	8264	1111

Stop Event

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

Counts

48 → 95

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Outputs
(/.f64 (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) (/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #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))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (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 (+ 1 x) (+.f64 x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (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 (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))))) x))
#s(approx (sqrt (+ 1 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (+ 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ 1 x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))) x))
#s(approx (sqrt (+ 1 x)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x))))) x))
#s(approx (+ 1 x) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) (.f64 x x))))) x))
#s(approx (sqrt (- 1 x)) (.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) (*.f64 x x)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (sqrt (+ 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (.f64 x x) (*.f64 x x))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

eval9.0ms (0.3%)

Memory: 18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 267 to 387 computations (82.9% saved)

prune5.0ms (0.2%)

Memory

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

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Accuracy

100.0%

Counts

91 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.1%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
✓	8.0%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	99.7%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
▶	99.7%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
▶	99.5%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
▶	98.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 203 to 131 computations (35.5% saved)

series18.0ms (0.6%)

Memory

-19.9MiB live, 25.8MiB allocated; 4ms collecting garbage

Counts

26 → 99

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
#s(literal 33/1024 binary64)
(*.f64 x x)
x
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (+ x 1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 2))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#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 (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 7/128 (pow x 5))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 7/128 (pow x 4))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (* 7/128 (pow x 2))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ 2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* 2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (* 2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ -2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (+ (* -2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))) (pow x 6))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 (* x x) x 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (+ (* 7/128 (* x x)) 1/8) (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (sqrt (- 1 x)))
5.0ms	x	@	-inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 (* x x) x 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (+ (* 7/128 (* x x)) 1/8) (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (sqrt (- 1 x)))
5.0ms	x	@	0	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 (* x x) x 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (+ (* 7/128 (* x x)) 1/8) (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (sqrt (- 1 x)))

Time

Variable

Point

Expression

6.0ms

inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 (* x x) x 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (+ (* 7/128 (* x x)) 1/8) (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (sqrt (- 1 x)))

5.0ms

-inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 (* x x) x 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (+ (* 7/128 (* x x)) 1/8) (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (sqrt (- 1 x)))

5.0ms

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 (* x x) x 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (+ (* 7/128 (* x x)) 1/8) (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (sqrt (- 1 x)))

rewrite159.0ms (5.1%)

Memory

-19.9MiB live, 175.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	470	4109
0	507	3758
1	2793	3447
0	9601	3366

Stop Event

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

Counts

125 → 300

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
#s(literal 33/1024 binary64)
(*.f64 x x)
x
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (+ x 1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 2))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#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 (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 7/128 (pow x 5))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 7/128 (pow x 4))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (* 7/128 (pow x 2))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ 2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* 2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (* 2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ -2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (+ (* -2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))) (pow x 6))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))

Outputs
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
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(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x))
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(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
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(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))))
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x
#s(literal 7/128 binary64)
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#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (+.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (+.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))))))

eval92.0ms (3%)

Memory: 3.7MiB live, 48.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 12 106 to 1 578 computations (87% saved)

prune6.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	308	3	311
Fresh	0	0	0
Picked	4	1	5
Done	0	1	1
Total	312	5	317

Accuracy

100.0%

Counts

317 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
✓	8.0%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	99.7%	#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
▶	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)))
✓	98.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 105 to 67 computations (36.2% saved)

series10.0ms (0.3%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

24 → 96

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)))
#s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x 1) (- 1 x)) (+.f64 x x))
(+.f64 x x)
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 1/8 x)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (- (+ x 1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 2))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#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 x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ 2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* 2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (* 2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 33/1024 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ -2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (+ (* -2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))) (pow x 6))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (* x x) x 1/8 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) 33/1024 7/128 1 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (+ x 1) (sqrt (- 1 x)) (- 1 x))
3.0ms	x	@	inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (* x x) x 1/8 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) 33/1024 7/128 1 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (+ x 1) (sqrt (- 1 x)) (- 1 x))
2.0ms	x	@	0	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (* x x) x 1/8 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) 33/1024 7/128 1 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (+ x 1) (sqrt (- 1 x)) (- 1 x))

Time

Variable

Point

Expression

3.0ms

-inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (* x x) x 1/8 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) 33/1024 7/128 1 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (+ x 1) (sqrt (- 1 x)) (- 1 x))

3.0ms

inf

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (* x x) x 1/8 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) 33/1024 7/128 1 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (+ x 1) (sqrt (- 1 x)) (- 1 x))

2.0ms

((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (* x x) x 1/8 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) 33/1024 7/128 1 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (+ x 1) (sqrt (- 1 x)) (- 1 x))

rewrite148.0ms (4.8%)

Memory

15.0MiB live, 151.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	455	4051
0	483	3716
1	2657	3398
0	9335	3309

Stop Event

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

Counts

120 → 261

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)))
#s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x 1) (- 1 x)) (+.f64 x x))
(+.f64 x x)
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 1/8 x)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (- (+ x 1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 2))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#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 x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ 2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* 2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (* 2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 33/1024 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (sqrt (/ -1 x)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))) (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))) (+ (sqrt (/ -1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ -2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (+ (* -2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))) (pow x 6))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x) x)))
#s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x) x))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x))
(.f64 (.f64 (.f64 x x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x))) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 x x) (*.f64 #s(literal 1/8 binary64) x)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/512 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (*.f64 #s(literal 1/8 binary64) x)) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (*.f64 #s(literal 1/8 binary64) x)) x))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/512 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (*.f64 #s(literal 1/8 binary64) x)) x))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)
(fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) x)
(+.f64 (.f64 (.f64 x x) (*.f64 #s(literal 1/8 binary64) x)) x)
(+.f64 x (.f64 (.f64 x x) (*.f64 #s(literal 1/8 binary64) x)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/8 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x) x))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))))
(/.f64 #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))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64))
#s(approx (+ (* (* x x) 33/1024) 7/128) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)))
#s(approx (- (+ x 1) (- 1 x)) (+.f64 x x))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(literal 2 binary64))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 (-.f64 (.f64 #s(literal -5/64 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -21/512 binary64) (.f64 x x)) #s(literal 5/64 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x))))))) x))
#s(approx (* (+ (* (* x x) 1/8) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/8 binary64) x)))
#s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 3 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/2 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 3 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 33/1024 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 33/1024 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 7/128 binary64) (.f64 x x))) #s(literal 33/1024 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 7/128 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 33/1024 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 33/1024 binary64)))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 7/128 binary64) (.f64 x x))) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (* x x) 33/1024) 7/128) (.f64 (.f64 x x) #s(literal 33/1024 binary64)))
#s(approx (+ (* (* x x) 33/1024) 7/128) (.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (.f64 x x)) #s(literal 33/1024 binary64)) (*.f64 x x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (.f64 (+.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (.f64 (-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 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 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x))))) x))
#s(approx (+ x 1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (- 1 x)) (.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (-.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (-.f64 (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 3 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/2 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) (.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64)) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 33/1024 binary64)) (/.f64 #s(literal 7/128 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64)) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (+.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (+.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (.f64 (neg.f64 x) (-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 x x) (*.f64 x x)))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))

eval30.0ms (1%)

Memory: 6.5MiB live, 52.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 11 044 to 1 374 computations (87.6% saved)

prune16.0ms (0.5%)

Memory

-42.1MiB live, 15.8MiB allocated; 8ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	251	6	257

Accuracy

100.0%

Counts

257 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
▶	99.6%	(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) #s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
✓	8.0%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.7%	#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
✓	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)))
✓	98.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 133 to 83 computations (37.6% saved)

series4.0ms (0.1%)

Memory

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

Counts

9 → 28

Calls

Call 1

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

Outputs
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 x))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (+ x 1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 2))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ 2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* 2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (* 2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (+ (* -1/4 (* x x)) 2) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* -1/4 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ -2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (+ (* -2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))) (pow x 6))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) x (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (+ (* -1/4 (* x x)) 2) -1/4 (* x x) 2)
1.0ms	x	@	inf	((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) x (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (+ (* -1/4 (* x x)) 2) -1/4 (* x x) 2)
1.0ms	x	@	0	((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) x (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (+ (* -1/4 (* x x)) 2) -1/4 (* x x) 2)

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) x (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (+ (* -1/4 (* x x)) 2) -1/4 (* x x) 2)

1.0ms

inf

((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) x (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (+ (* -1/4 (* x x)) 2) -1/4 (* x x) 2)

1.0ms

((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x x) x (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (+ (* -1/4 (* x x)) 2) -1/4 (* x x) 2)

rewrite135.0ms (4.3%)

Memory

36.4MiB live, 128.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1954
0	227	1753
1	1415	1501
0	8454	1460

Stop Event

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

Counts

37 → 80

Calls

Call 1

Inputs
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) #s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
#s(approx (- (+ x 1) (- 1 x)) (+.f64 x x))
(+.f64 x x)
x
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal -1/4 binary64)
(*.f64 x x)
#s(literal 2 binary64)
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 x))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (+ x 1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 2))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ 2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* 2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (* 2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))) (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* -2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (+ (* -1/4 (* x x)) 2) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* -1/4 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/4))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ -2 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))) (+ (* -2 (/ (+ (* 1/16 (/ 1 (pow (sqrt (/ -1 x)) 5))) (* 1/16 (/ 1 (pow (sqrt (/ 1 x)) 5)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2))) (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3))))) (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))))))) (pow x 6))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* (pow x 2) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (/ 1 (sqrt (/ -1 x)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 2) (* (pow x 4) (pow (+ (sqrt (/ -1 x)) (sqrt (/ 1 x))) 3)))) (* 2 (/ 1 (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt (/ -1 x)) 3))) (* 1/8 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (sqrt (/ 1 x)) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ -1 x)) 5))) (+ (/ 1/16 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))

Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)))) (neg.f64 (neg.f64 #s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x))) (neg.f64 #s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 2 binary64)))))
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) #s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 2 binary64))))
#s(approx (- (+ x 1) (- 1 x)) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
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(+.f64 x x)
x
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#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) x))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (-.f64 (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 (fma.f64 (sqrt.f64 x) x (.f64 (sqrt.f64 x) x)) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))) (exp.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal 3 binary64)))))) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) x))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 x) x (.f64 (sqrt.f64 x) x)))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/2 binary64)))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))) #s(literal -2 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 (fma.f64 (sqrt.f64 x) x (.f64 (sqrt.f64 x) x)) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))) (exp.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal 3 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))))))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x))) (.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) x))) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 x) x (.f64 (sqrt.f64 x) x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))))) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))) (exp.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (neg.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))) x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (neg.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 x) x (.f64 (sqrt.f64 x) x))) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x))))) x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)))) x)))

eval10.0ms (0.3%)

Memory: -33.3MiB live, 12.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 526 to 409 computations (88.4% saved)

prune5.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	71	6	77

Accuracy

100.0%

Counts

77 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
✓	99.6%	(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) #s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
✓	8.0%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.7%	#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
✓	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)))
✓	98.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 352 to 146 computations (58.5% saved)

regimes6.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(approx (* (+ (* (* x x) 1/8) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) #s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

derivations207.0ms (6.7%)

Memory

-48.8MiB live, 53.3MiB allocated; 52ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 88 to 37 computations (58% saved)

preprocess27.0ms (0.9%)

Memory: 7.1MiB live, 51.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 97 to 44 computations (54.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (46.7%)

preprocess106.0ms (3.4%)

series5.0ms (0.2%)

rewrite649.0ms (20.9%)

eval9.0ms (0.3%)

prune5.0ms (0.2%)

series18.0ms (0.6%)

rewrite159.0ms (5.1%)

eval92.0ms (3%)

prune6.0ms (0.2%)

series10.0ms (0.3%)

rewrite148.0ms (4.8%)

eval30.0ms (1%)

prune16.0ms (0.5%)

series4.0ms (0.1%)

rewrite135.0ms (4.3%)

eval10.0ms (0.3%)

prune5.0ms (0.2%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

derivations207.0ms (6.7%)

preprocess27.0ms (0.9%)

end0.0ms (0%)

Profiling