Metrics for x / (x^2 + 1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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%	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)

sample567.0ms (36.9%)

Memory

18.3MiB live, 861.5MiB allocated; 128ms collecting garbage

Samples

337.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult!: 64.0ms (40.3% of total)

ival-add!: 58.0ms (36.6% of total)

ival-div!: 36.0ms (22.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess109.0ms (7.1%)

Memory

-10.0MiB live, 54.4MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	28	22
2	62	21
3	91	21
4	164	21
5	408	21
6	2768	21
7	6481	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(/.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

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

5 → 17

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 #s(hole binary64 x))
#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)))
#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)

rewrite125.0ms (8.1%)

Memory

11.7MiB live, 153.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	302
0	71	267
1	360	257
0	3688	234

Stop Event

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

Counts

22 → 111

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 #s(hole binary64 x))
#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)))
#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 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.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) (.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 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
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)) (neg.f64 x)) (neg.f64 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)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.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 (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 (.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 #s(literal 1 binary64) (neg.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 (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)))
(/.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 (-.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 (.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 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (fma.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)))
(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 #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 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.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 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.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 (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 (*.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 (.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 #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 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) (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 #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 (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 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.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 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.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(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)
#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) (*.f64 x 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)))

eval26.0ms (1.7%)

Memory: 3.9MiB live, 54.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 752 to 334 computations (55.6% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	100	6	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	6	107

Accuracy

100.0%

Counts

107 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
	49.4%	(/.f64 x (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))
▶	26.1%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
▶	48.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
▶	48.7%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	53.6%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 90 to 88 computations (2.2% saved)

series5.0ms (0.3%)

Memory

-37.3MiB live, 10.9MiB allocated; 2ms collecting garbage

Counts

14 → 28

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

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

rewrite132.0ms (8.6%)

Memory

9.1MiB live, 196.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	520
0	106	452
1	440	428
0	4131	424

Stop Event

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

Counts

42 → 239

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

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

eval24.0ms (1.6%)

Memory: 19.6MiB live, 65.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 878 to 893 computations (52.4% saved)

prune6.0ms (0.4%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	250	1	251
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	251	6	257

Accuracy

100.0%

Counts

257 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.5%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	26.1%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
▶	17.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 x x) x)))
✓	48.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	48.7%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	53.6%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 47 to 47 computations (0% saved)

series6.0ms (0.4%)

Memory

-37.0MiB live, 9.5MiB allocated; 5ms collecting garbage

Counts

7 → 23

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ x (+ (* x x) 1)) (/ (+ (* x x) -1) (* (* x x) x)) (+ (* x x) -1) x -1 (* (* x x) x) (* x x))
1.0ms	x	@	-inf	((/ x (+ (* x x) 1)) (/ (+ (* x x) -1) (* (* x x) x)) (+ (* x x) -1) x -1 (* (* x x) x) (* x x))
1.0ms	x	@	0	((/ x (+ (* x x) 1)) (/ (+ (* x x) -1) (* (* x x) x)) (+ (* x x) -1) x -1 (* (* x x) x) (* x x))

Time

Variable

Point

Expression

4.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite118.0ms (7.7%)

Memory

39.6MiB live, 182.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	424
0	88	373
1	403	348
0	3913	333

Stop Event

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

Counts

30 → 179

Calls

Call 1

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

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

eval15.0ms (1%)

Memory: -8.6MiB live, 37.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 324 to 659 computations (50.2% saved)

prune35.0ms (2.3%)

Memory

-32.6MiB live, 20.8MiB allocated; 31ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	166	7	173

Accuracy

100.0%

Counts

173 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.5%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	26.1%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
▶	53.2%	#s(approx (/ x (+ (* x x) 1)) (fma.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (.f64 x x) x))
✓	17.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 x x) x)))
✓	48.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	48.7%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	53.6%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 58 to 58 computations (0% saved)

series4.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

7 → 30

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite119.0ms (7.7%)

Memory

12.3MiB live, 154.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	580
0	107	526
1	447	492
0	4168	466

Stop Event

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

Counts

37 → 164

Calls

Call 1

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

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

eval21.0ms (1.4%)

Memory: -7.2MiB live, 41.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 362 to 632 computations (53.6% saved)

prune5.0ms (0.4%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	155	7	162

Accuracy

100.0%

Counts

162 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.5%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	26.1%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
	52.4%	#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* x (+ (* x x) -1)) (neg.f64 x)) (*.f64 x x) x))
✓	17.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 x x) x)))
✓	48.0%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	48.7%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	53.6%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 120 to 98 computations (18.3% saved)

regimes7.0ms (0.4%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

10 → 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 #s(approx (+ (* x x) 1) (*.f64 x x)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* x (+ (* x x) -1)) (neg.f64 x)) (*.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 x x #s(literal -1 binary64)) (.f64 (.f64 x x) x)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (.f64 x x) x))
(/.f64 x (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (*.f64 x 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:

3.0ms	x
3.0ms	(/.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)

regimes4.0ms (0.3%)

Memory

-38.6MiB live, 8.3MiB allocated; 3ms collecting garbage

Counts

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

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

Counts

3 → 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 #s(approx (+ (* x x) 1) (*.f64 x 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
80.6%	4	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.4%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

bsearch5.0ms (0.3%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	360.07886676107756	15728.001780271408

Samples

2.0ms

64×

valid

Compiler

Compiled 70 to 77 computations (-10% 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)

bsearch1.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	20186014.12733856	1992385302.1133165

Samples

0.0ms

16×

valid

Compiler

Compiled 22 to 23 computations (-4.5% 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)

bsearch14.0ms (0.9%)

Memory

-17.9MiB live, 23.7MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.2956392439864122	95.43077424806246

Samples

8.0ms

128×

valid

Compiler

Compiled 122 to 137 computations (-12.3% saved)

Precisions

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

ival-mult!: 1.0ms (64.3% of total)

ival-div!: 1.0ms (64.3% of total)

adjust: 0.0ms (0% of total)

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

derivations93.0ms (6%)

Memory

1.9MiB live, 93.9MiB allocated; 42ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 31 to 24 computations (22.6% saved)

preprocess81.0ms (5.3%)

Memory: 27.0MiB live, 119.6MiB allocated; 13ms 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%)

sample567.0ms (36.9%)

preprocess109.0ms (7.1%)

series3.0ms (0.2%)

rewrite125.0ms (8.1%)

eval26.0ms (1.7%)

prune4.0ms (0.3%)

series5.0ms (0.3%)

rewrite132.0ms (8.6%)

eval24.0ms (1.6%)

prune6.0ms (0.4%)

series6.0ms (0.4%)

rewrite118.0ms (7.7%)

eval15.0ms (1%)

prune35.0ms (2.3%)

series4.0ms (0.2%)

rewrite119.0ms (7.7%)

eval21.0ms (1.4%)

prune5.0ms (0.4%)

regimes7.0ms (0.4%)

regimes4.0ms (0.3%)

regimes3.0ms (0.2%)

regimes2.0ms (0.2%)

bsearch5.0ms (0.3%)

bsearch1.0ms (0.1%)

bsearch14.0ms (0.9%)

derivations93.0ms (6%)

preprocess81.0ms (5.3%)

end0.0ms (0%)

Profiling