Metrics for x / (x^2 + 1)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample500.0ms (33.5%)

Memory

31.9MiB live, 972.9MiB allocated; 151ms collecting garbage

Samples

329.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult!: 70.0ms (50.4% of total)

ival-div!: 46.0ms (33.2% of total)

ival-add!: 21.0ms (15.1% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

preprocess101.0ms (6.8%)

Memory

-38.2MiB live, 54.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	35	22
2	80	21
3	137	21
4	449	21
5	3170	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Symmetry

(negabs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series3.0ms (0.2%)

Memory

6.9MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

5 → 15

Calls

Call 1

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

Outputs
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))

Calls

3 calls:

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

rewrite117.0ms (7.8%)

Memory

18.7MiB live, 160.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	290
0	69	255
1	358	245
0	3712	223

Stop Event

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

Counts

20 → 109

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))

Outputs
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
x
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(.f64 x (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 (.f64 x x) x))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x #s(literal -1 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (expm1.f64 (.f64 (log.f64 x) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (neg.f64 x)))

eval11.0ms (0.7%)

Memory: -19.1MiB live, 27.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 741 to 329 computations (55.6% saved)

prune4.0ms (0.3%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Accuracy

100.0%

Counts

105 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	48.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
▶	48.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
	53.4%	#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
▶	52.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
▶	53.6%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 102 to 102 computations (0% saved)

series5.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

15 → 27

Calls

Call 1

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

Outputs
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (* (- 1 (* x x)) x) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (* (- 1 (* x x)) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (- 1 (* x x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (* (- 1 (* x x)) x) (- 1 (* x x)) (* x x) (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)))

1.0ms

((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (* (- 1 (* x x)) x) (- 1 (* x x)) (* x x) (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)))

1.0ms

inf

((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (* (- 1 (* x x)) x) (- 1 (* x x)) (* x x) (/ x (+ (* x x) 1)) (/ (- 1 (/ 1 (* x x))) x) (- 1 (/ 1 (* x x))) (/ 1 (* x x)))

rewrite252.0ms (16.9%)

Memory

-1.5MiB live, 201.5MiB allocated; 161ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	539
0	116	471
1	467	439
0	4346	435

Stop Event

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

Counts

42 → 307

Calls

Call 1

Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (/ 1 (* x x))) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 3))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (* (- 1 (* x x)) x) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (* (- 1 (* x x)) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (- 1 (/ 1 (* x x))) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (- 1 (* x x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))))

Outputs
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
x
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(.f64 x (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (neg.f64 x) x))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (fabs.f64 x) (.f64 x x)) (/.f64 (fabs.f64 x) x))
(.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (.f64 x x)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 (neg.f64 x) (.f64 x x)) (/.f64 (neg.f64 x) x))
(.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (.f64 x x)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3/2 binary64))) (/.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (/.f64 x (.f64 x x)) (/.f64 x x))
(.f64 (/.f64 x x) (/.f64 x (.f64 x x)))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) x)))
(.f64 (neg.f64 x) (/.f64 (neg.f64 x) (.f64 (*.f64 x x) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 x (.f64 (*.f64 x x) x)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (.f64 x x) x) (.f64 x x))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (.f64 x x) (.f64 (*.f64 x x) x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (-.f64 x (.f64 (neg.f64 x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (neg.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (neg.f64 x) (*.f64 x x)) x))))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 x x) x)
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x)
(fma.f64 (neg.f64 x) (*.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64) x)
(fma.f64 (*.f64 (neg.f64 x) x) x x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1 binary64) x) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) (neg.f64 x) x)
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 x (*.f64 (neg.f64 x) x) x)
(-.f64 x (.f64 (.f64 x x) x))
(+.f64 (.f64 (neg.f64 x) (.f64 x x)) x)
(+.f64 x (.f64 (neg.f64 x) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) (neg.f64 (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (neg.f64 x) x)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 x x) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (neg.f64 x) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 x #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 x x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (neg.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 x x) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (neg.f64 x) (.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x x) x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (.f64 x x)) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) (*.f64 x x)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (neg.f64 x) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- 1 (* x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)))
#s(approx (/ (- 1 (/ 1 (* x x))) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (- 1 (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- 1 (/ 1 (* x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* (- 1 (* x x)) x) (.f64 (neg.f64 x) (.f64 x x)))
#s(approx (* (- 1 (* x x)) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) x) (.f64 x x)))
#s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))
#s(approx (- 1 (* x x)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (- 1 (/ 1 (* x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (expm1.f64 (.f64 (log.f64 x) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (neg.f64 x)))
#s(approx (* (- 1 (* x x)) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))

eval36.0ms (2.4%)

Memory: -12.1MiB live, 87.6MiB allocated; 11ms collecting garbage
Compiler: Compiled 2 415 to 1 143 computations (52.7% saved)

prune11.0ms (0.7%)

Memory

-18.8MiB live, 23.8MiB allocated; 8ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	316	6	322

Accuracy

100.0%

Counts

322 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	48.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	48.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	53.4%	#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
✓	52.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
✓	53.6%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 51 to 51 computations (0% saved)

series3.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

8 → 26

Calls

Call 1

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

Outputs
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((/ x (+ (* x x) 1)) (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (+ (* (+ (* x x) -1) (* x x)) 1) (+ (* x x) -1) x -1 (* x x) 1)

1.0ms

inf

((/ x (+ (* x x) 1)) (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (+ (* (+ (* x x) -1) (* x x)) 1) (+ (* x x) -1) x -1 (* x x) 1)

1.0ms

((/ x (+ (* x x) 1)) (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (+ (* (+ (* x x) -1) (* x x)) 1) (+ (* x x) -1) x -1 (* x x) 1)

rewrite214.0ms (14.3%)

Memory

16.3MiB live, 189.1MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	552
0	98	498
1	419	478
0	4112	456

Stop Event

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

Counts

34 → 173

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))

Outputs
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x))) x) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (.f64 x x)) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (.f64 x x)))) (-.f64 x (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (.f64 x x)) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (.f64 x x))) (.f64 x (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x))))))
(fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) x) (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 x x) x) x)
(fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)
(fma.f64 x (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) x)
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)))
(-.f64 x (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x) x))
(+.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x)) x)
(+.f64 x (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)))) (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) x))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
x
#s(literal -1 binary64)
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) x #s(literal -1 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (pow.f64 x #s(literal 5 binary64)))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* x x) -1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (expm1.f64 (.f64 (log.f64 x) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (neg.f64 x)))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))

eval17.0ms (1.1%)

Memory: 25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 517 to 704 computations (53.6% saved)

prune6.0ms (0.4%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	160	6	166

Accuracy

100.0%

Counts

166 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.6%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	48.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	48.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	53.4%	#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
✓	52.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
✓	53.6%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 92 to 77 computations (16.3% saved)

regimes11.0ms (0.8%)

Memory

-36.7MiB live, 10.0MiB allocated; 6ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
2.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
100.0%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
81.4%	4	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.6%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) x)

Outputs
#s(approx (/ x (+ (* x x) 1)) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.6%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
53.6%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch4.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.0280926063534181	45236.27419758913

Samples

1.0ms

48×

valid

Compiler

Compiled 55 to 60 computations (-9.1% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch3.0ms (0.2%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	4606427.77476313	311822067.5410352

Samples

1.0ms

32×

valid

Compiler

Compiled 34 to 37 computations (-8.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

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

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

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

bsearch7.0ms (0.4%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.15370308323685478	1.0280926063534181

Samples

3.0ms

96×

valid

Compiler

Compiled 94 to 105 computations (-11.7% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

derivations64.0ms (4.3%)

Memory

-48.1MiB live, 53.0MiB allocated; 23ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 31 to 24 computations (22.6% saved)

preprocess117.0ms (7.8%)

Memory: 38.8MiB live, 128.4MiB allocated; 22ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 142 to 126 computations (11.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample500.0ms (33.5%)

preprocess101.0ms (6.8%)

series3.0ms (0.2%)

rewrite117.0ms (7.8%)

eval11.0ms (0.7%)

prune4.0ms (0.3%)

series5.0ms (0.3%)

rewrite252.0ms (16.9%)

eval36.0ms (2.4%)

prune11.0ms (0.7%)

series3.0ms (0.2%)

rewrite214.0ms (14.3%)

eval17.0ms (1.1%)

prune6.0ms (0.4%)

regimes11.0ms (0.8%)

regimes2.0ms (0.2%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch4.0ms (0.2%)

bsearch3.0ms (0.2%)

bsearch7.0ms (0.4%)

derivations64.0ms (4.3%)

preprocess117.0ms (7.8%)

end0.0ms (0%)

Profiling