Metrics for bug333 (missed optimization)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 (65.6%)

Memory

9.8MiB live, 1 905.6MiB allocated; 342ms collecting garbage

Samples

593.0ms	4 645×	1	valid
581.0ms	3 481×	2	valid
5.0ms	130×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 958.0ms

ival-sqrt: 407.0ms (42.5% of total)

adjust: 325.0ms (33.9% of total)

ival-add!: 133.0ms (13.9% of total)

ival-sub!: 93.0ms (9.7% of total)

Bogosity

preprocess86.0ms (3.8%)

Memory

-7.8MiB live, 38.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	35	27
2	52	27
3	83	27
4	170	27
5	522	27
6	3481	27
7	7958	27

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Symmetry

(negabs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series6.0ms (0.3%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

7 → 46

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

2.0ms

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))

rewrite62.0ms (2.8%)

Memory

31.9MiB live, 77.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1305
0	229	1093
0	1305	1031

Stop Event

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

Counts

53 → 72

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

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

eval42.0ms (1.9%)

Memory: -41.7MiB live, 20.6MiB allocated; 40ms collecting garbage
Compiler: Compiled 792 to 305 computations (61.5% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	5	69

Accuracy

100.0%

Counts

69 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	100.0%	#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))
▶	99.9%	#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))
▶	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
▶	99.4%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 64 to 60 computations (6.3% saved)

series10.0ms (0.4%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

19 → 67

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) 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))
(*.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))
#s(literal 7/128 binary64)
#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)

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite86.0ms (3.9%)

Memory

3.9MiB live, 53.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	2041
0	291	1853
0	1531	1815

Stop Event

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

Counts

86 → 160

Calls

Call 1

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

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

eval22.0ms (1%)

Memory: -14.8MiB live, 31.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 199 to 882 computations (59.9% saved)

prune7.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	185	4	189
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	186	8	194

Accuracy

100.0%

Counts

194 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (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))))
▶	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) x))))
▶	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
✓	99.9%	#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))
▶	100.0%	#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))
✓	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
✓	99.4%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 115 to 111 computations (3.5% saved)

series12.0ms (0.5%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

26 → 101

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (sqrt (+ 1 x)) (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) (* x x) x 33/1024 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* x x) 1/8))) (* x (* (* x x) 1/8)) (* (* x x) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x))) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x)) (* (* (+ (* (* x x) 7/128) 1/8) x) x) (* (+ (* (* x x) 7/128) 1/8) x) (+ (* (* x x) 7/128) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))
4.0ms	x	@	inf	((- (sqrt (+ 1 x)) (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) (* x x) x 33/1024 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* x x) 1/8))) (* x (* (* x x) 1/8)) (* (* x x) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x))) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x)) (* (* (+ (* (* x x) 7/128) 1/8) x) x) (* (+ (* (* x x) 7/128) 1/8) x) (+ (* (* x x) 7/128) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))
2.0ms	x	@	0	((- (sqrt (+ 1 x)) (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) (* x x) x 33/1024 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* x x) 1/8))) (* x (* (* x x) 1/8)) (* (* x x) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x))) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x)) (* (* (+ (* (* x x) 7/128) 1/8) x) x) (* (+ (* (* x x) 7/128) 1/8) x) (+ (* (* x x) 7/128) 1/8) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

rewrite79.0ms (3.5%)

Memory

-14.7MiB live, 82.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	3192
0	359	2900
0	1706	2822

Stop Event

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

Counts

127 → 250

Calls

Call 1

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

Outputs
#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)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.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 (.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 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 (fma.f64 (.f64 x x) x (pow.f64 (.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) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.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 (.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 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)))))
(fma.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 x)
(fma.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) x)
(fma.f64 x #s(literal 1 binary64) (.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 x (.f64 (neg.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 (.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) x)
(+.f64 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 (.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) (.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 (.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 (-.f64 #s(literal 1 binary64) (.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) (.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 #s(literal 1 binary64) (.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 (pow.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) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.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) (.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 #s(literal 1 binary64) (.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) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.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) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.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) (.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 #s(literal 1 binary64) (.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 (.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))
(fma.f64 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(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.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))))
(+.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) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.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 (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)
(.f64 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 #s(literal 1/8 binary64) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
(fma.f64 x #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) #s(literal 1/64 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (-.f64 #s(literal 1/64 binary64) (.f64 (.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 (.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))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))
(/.f64 (-.f64 #s(literal 49/16384 binary64) (.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) #s(literal 33/1024 binary64)))) (-.f64 #s(literal 7/128 binary64) (.f64 (*.f64 x x) #s(literal 33/1024 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) #s(literal 33/1024 binary64))) #s(literal 49/16384 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))
(/.f64 (+.f64 #s(literal 343/2097152 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 49/16384 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) #s(literal 33/1024 binary64))) (.f64 #s(literal 7/128 binary64) (.f64 (.f64 x x) #s(literal 33/1024 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 3 binary64)) #s(literal 343/2097152 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (-.f64 #s(literal 49/16384 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(-.f64 #s(literal 7/128 binary64) (.f64 #s(literal -33/1024 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(+.f64 #s(literal 7/128 binary64) (.f64 (.f64 x x) #s(literal 33/1024 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)))
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(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) x)) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/8 binary64)) x)))))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) x x)
(fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/8 binary64)) x))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
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(.f64 (.f64 x x) #s(literal 1/8 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/8 binary64) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
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(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x x)
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x))
(-.f64 x (.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)))))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x) x)
(+.f64 x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x)
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))))
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(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x)))
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#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 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.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) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.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) 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 (+.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 5 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 x x) (.f64 x x)) (+.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) (.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 (+ (* x 1) (* x (* (* x x) 1/8))) (.f64 (.f64 (*.f64 x x) #s(literal 1/8 binary64)) x))
#s(approx (+ (* x 1) (* x (* (* x x) 1/8))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* x 1) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64)))
#s(approx (+ (* x 1) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x))) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64)))
#s(approx (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x)) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64))))
#s(approx (* (* (+ (* (* x x) 7/128) 1/8) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 7/128 binary64)))
#s(approx (* (* (+ (* (* x x) 7/128) 1/8) x) x) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 7/128) 1/8) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 7/128 binary64)))
#s(approx (* (+ (* (* x x) 7/128) 1/8) x) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) 7/128) 1/8) (.f64 (.f64 x x) #s(literal 7/128 binary64)))
#s(approx (+ (* (* x x) 7/128) 1/8) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64)) (*.f64 x x)))
#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 x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 33/1024 binary64)))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) 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 x) 33/1024) 7/128) (* x x)) 1/8) x) 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) (.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) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.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) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.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 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (fma.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) 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 (+ (* x 1) (* x (* (* (+ (* (* x x) 7/128) 1/8) x) x))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#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 x) 33/1024) 7/128) (* x x)) 1/8) x) 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)))))

eval38.0ms (1.7%)

Memory: 16.7MiB live, 62.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 765 to 1 449 computations (61.5% saved)

prune22.0ms (1%)

Memory

-33.3MiB live, 12.7MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	298	3	301
Fresh	0	0	0
Picked	4	0	4
Done	2	2	4
Total	304	5	309

Accuracy

100.0%

Counts

309 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.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 x))
▶	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x x))
▶	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x))
✓	99.4%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 61 to 58 computations (4.9% saved)

series8.0ms (0.4%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

18 → 67

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (* x x) x 1/8 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) (* (* x x) (+ (* (* x x) 7/128) 1/8)) (+ (* (* x x) 7/128) 1/8) 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (* (+ (* (+ (* (* 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)
3.0ms	x	@	inf	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (* x x) x 1/8 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) (* (* x x) (+ (* (* x x) 7/128) 1/8)) (+ (* (* x x) 7/128) 1/8) 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (* (+ (* (+ (* (* 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)
1.0ms	x	@	0	((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (* x x) x 1/8 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) (* (* x x) (+ (* (* x x) 7/128) 1/8)) (+ (* (* x x) 7/128) 1/8) 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (* (+ (* (+ (* (* 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)

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

1.0ms

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

rewrite62.0ms (2.8%)

Memory

14.5MiB live, 61.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	2057
0	300	1862
0	1570	1819

Stop Event

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

Counts

85 → 179

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (-.f64 (.f64 x x) (.f64 (.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)
(fma.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x) x)
(fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) x)
(+.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) x)
(+.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/8 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 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1/8 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) 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)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x))) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) x))))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x x)
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)))
(+.f64 (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) x)
(+.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)))
(.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 7/128 binary64)) (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 7/128 binary64))))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 7/128 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 7/128 binary64))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 7/128 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (.f64 (.f64 x x) #s(literal 7/128 binary64))) #s(literal 1/64 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (.f64 (.f64 x x) #s(literal 7/128 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal 7/128 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (.f64 (.f64 x x) #s(literal 7/128 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) (.f64 (.f64 x x) #s(literal 7/128 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 7/128 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 x #s(literal 7/128 binary64)) #s(literal 1/8 binary64))
(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -7/128 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 7/128 binary64)))
#s(literal 7/128 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.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 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)))
(/.f64 (-.f64 (.f64 (.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 (.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 x x)) (-.f64 (.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) x))
(/.f64 (+.f64 (pow.f64 (.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) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.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 (.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 x) (.f64 (.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) x))))
(fma.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 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) (.f64 x x) x)
(fma.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) x)
(fma.f64 x #s(literal 1 binary64) (.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))
(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 (.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 #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 (.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) x)
(+.f64 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 (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 (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))
(.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)))
(.f64 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))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) 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)
(.f64 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 #s(literal 1/8 binary64) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
(fma.f64 x #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) #s(literal 1/64 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))))
(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))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) #s(literal 33/1024 binary64))) #s(literal 49/16384 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))
(/.f64 (-.f64 #s(literal 49/16384 binary64) (.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) #s(literal 33/1024 binary64)))) (-.f64 #s(literal 7/128 binary64) (.f64 (*.f64 x x) #s(literal 33/1024 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 3 binary64)) #s(literal 343/2097152 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (-.f64 #s(literal 49/16384 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))))
(/.f64 (+.f64 #s(literal 343/2097152 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 49/16384 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) (.f64 (.f64 x x) #s(literal 33/1024 binary64))) (.f64 #s(literal 7/128 binary64) (.f64 (.f64 x x) #s(literal 33/1024 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(-.f64 #s(literal 7/128 binary64) (.f64 #s(literal -33/1024 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(+.f64 #s(literal 7/128 binary64) (.f64 (.f64 x x) #s(literal 33/1024 binary64)))
#s(literal 33/1024 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))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.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 x))
#s(approx (+ (* (* (* x x) x) 1/8) x) x)
#s(approx (+ (* (* (* x x) x) 1/8) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #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)
#s(approx (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) x)
#s(approx (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (* (* x x) (+ (* (* x x) 7/128) 1/8)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (* (* x x) (+ (* (* x x) 7/128) 1/8)) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* (* x x) 7/128) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (* x x) 7/128) 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) x) x) x) x) x)
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) x))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) (fma.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 x))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) 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))
#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 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x))
#s(approx (+ (* (* (* x x) x) 1/8) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))
#s(approx (+ (* (* (* x x) x) 1/8) x) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64)))
#s(approx (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64))))
#s(approx (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (* x x) (+ (* (* x x) 7/128) 1/8)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 7/128 binary64)))
#s(approx (* (* x x) (+ (* (* x x) 7/128) 1/8)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64))))
#s(approx (+ (* (* x x) 7/128) 1/8) (.f64 (.f64 x x) #s(literal 7/128 binary64)))
#s(approx (+ (* (* x x) 7/128) 1/8) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 7/128 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) 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) x) 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) x) 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) x) 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) (.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) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.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) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.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) 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 (+.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 5 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 (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (fma.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x)))
#s(approx (+ (* (* (* x x) (+ (* (* x x) 7/128) 1/8)) x) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) 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) x) 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)))))

eval36.0ms (1.6%)

Memory: -9.0MiB live, 40.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 312 to 963 computations (58.3% saved)

prune9.0ms (0.4%)

Memory

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

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	201	5	206

Accuracy

100.0%

Counts

206 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	100.0%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.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 x))
✓	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) x x))
✓	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) x))
✓	99.4%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

Compiler

Compiled 159 to 116 computations (27% saved)

regimes18.0ms (0.8%)

Memory

-35.4MiB live, 12.0MiB allocated; 2ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Outputs

#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.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 x))

Calls

2 calls:

15.0ms	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 9 to 8 computations (11.1% saved)

regimes5.0ms (0.2%)

Memory

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

Counts

9 → 1

Calls

Call 1

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

Outputs

#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))

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 9 to 8 computations (11.1% saved)

regimes5.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.9%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.2%)

Memory

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

Counts

6 → 1

Calls

Call 1

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

Outputs
#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))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.9%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.2%)

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

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 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
99.8%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#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))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) 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
99.8%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes16.0ms (0.7%)

Memory

-43.2MiB live, 4.4MiB allocated; 1ms 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:

15.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations42.0ms (1.9%)

Memory

-0.5MiB live, 45.4MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 63 to 36 computations (42.9% saved)

preprocess80.0ms (3.6%)

Memory: 18.6MiB live, 110.3MiB allocated; 23ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 273 to 237 computations (13.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (65.6%)

preprocess86.0ms (3.8%)

series6.0ms (0.3%)

rewrite62.0ms (2.8%)

eval42.0ms (1.9%)

prune3.0ms (0.1%)

series10.0ms (0.4%)

rewrite86.0ms (3.9%)

eval22.0ms (1%)

prune7.0ms (0.3%)

series12.0ms (0.5%)

rewrite79.0ms (3.5%)

eval38.0ms (1.7%)

prune22.0ms (1%)

series8.0ms (0.4%)

rewrite62.0ms (2.8%)

eval36.0ms (1.6%)

prune9.0ms (0.4%)

regimes18.0ms (0.8%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

regimes2.0ms (0.1%)

regimes16.0ms (0.7%)

derivations42.0ms (1.9%)

preprocess80.0ms (3.6%)

end0.0ms (0%)

Profiling