Metrics for x / (x^2 + 1)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample582.0ms (24.4%)

Memory

17.1MiB live, 825.5MiB allocated; 244ms collecting garbage

Samples

404.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-div!: 83.0ms (53% of total)

ival-mult!: 49.0ms (31.3% of total)

ival-add!: 23.0ms (14.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess123.0ms (5.1%)

Memory

-34.7MiB live, 34.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Symmetry

(negabs x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series3.0ms (0.1%)

Memory

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

Counts

5 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite122.0ms (5.1%)

Memory

29.9MiB live, 163.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	290
0	69	255
1	358	245
0	3700	223

Stop Event

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

Counts

20 → 109

Calls

Call 1

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

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

eval21.0ms (0.9%)

Memory: -14.8MiB live, 38.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 514 to 329 computations (78.3% saved)

prune5.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	7	105

Accuracy

100.0%

Counts

105 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
	61.8%	(.f64 (/.f64 x (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	53.3%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
▶	54.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
	48.5%	#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))
▶	47.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
▶	48.5%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 184 to 116 computations (37% saved)

series4.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

15 → 27

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite137.0ms (5.7%)

Memory

-27.3MiB live, 204.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	539
0	116	471
1	467	439
0	4334	435

Stop Event

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

Counts

42 → 307

Calls

Call 1

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

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

eval30.0ms (1.3%)

Memory: 37.7MiB live, 83.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 406 to 1 143 computations (82.2% saved)

prune9.0ms (0.4%)

Memory

-23.6MiB live, 21.5MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	314	2	316
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	315	8	323

Accuracy

100.0%

Counts

323 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	61.8%	(.f64 (/.f64 x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	53.3%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	54.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	48.5%	#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))
✓	47.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
▶	47.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x))
✓	48.5%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 109 to 70 computations (35.8% saved)

series8.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Counts

17 → 49

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) 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))
(.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
(.f64 (/.f64 x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
(.f64 (.f64 x 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 (* (+ 1 x) (- 1 x)) #s(hole binary64 1))
#s(approx (* (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (+ (* (* (* x x) x) x) -1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#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 (* (* (+ 1 x) (- 1 x)) x) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (* (* (+ 1 x) (- 1 x)) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1))))
#s(approx (* (+ 1 x) (- 1 x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (+ 1 x) (- 1 x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (+ (* (* (* x x) x) x) -1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (* (+ 1 x) (- 1 x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite211.0ms (8.9%)

Memory

-20.1MiB live, 272.8MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	1072
0	208	899
1	867	860
0	8311	833

Stop Event

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

Counts

66 → 432

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) 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))
(.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
(.f64 (/.f64 x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
(.f64 (.f64 x 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 (* (+ 1 x) (- 1 x)) #s(hole binary64 1))
#s(approx (* (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (+ (* (* (* x x) x) x) -1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#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 (* (* (+ 1 x) (- 1 x)) x) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (* (* (+ 1 x) (- 1 x)) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1))))
#s(approx (* (+ 1 x) (- 1 x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (+ 1 x) (- 1 x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (+ (* (* (* x x) x) x) -1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (* (+ 1 x) (- 1 x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))))

Outputs
#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal -1 binary64)))
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(/.f64 (.f64 (/.f64 x (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 (neg.f64 x) x) (-.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (/.f64 x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))) (-.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 x) (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (.f64 (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)))) (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (neg.f64 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) (neg.f64 x)) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) x) (.f64 (fma.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 x (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (fabs.f64 x)) (fabs.f64 x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) #s(literal -1 binary64) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x))
(fma.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(-.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x) (.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) x) x))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) x) x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (/.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal 8 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)))
(.f64 (/.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal 12 binary64)))) (+.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))))
(/.f64 x (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 12 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 8 binary64))) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 12 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 12 binary64))) (+.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) x) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 (neg.f64 x) x)) (fabs.f64 (.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 x) (.f64 x x)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 x x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x x)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 x) (.f64 (*.f64 x x) x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 (*.f64 x x) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 x x) x) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) #s(literal 0 binary64)))
(expm1.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 (*.f64 x x) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(+.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (neg.f64 x) (.f64 (neg.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))))
#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 (* (+ 1 x) (- 1 x)) #s(literal 1 binary64))
#s(approx (* (+ 1 x) (- 1 x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ 1 x) (-.f64 x #s(literal -1 binary64)))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (neg.f64 x))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (.f64 (fma.f64 (neg.f64 x) (.f64 (*.f64 x x) x) #s(literal -1 binary64)) x))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (.f64 (.f64 x x) x)) x #s(literal -1 binary64)) x))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (.f64 (*.f64 x x) x)) x #s(literal -1 binary64)) x) #s(literal -1 binary64)) x))
#s(approx (+ (* (* (* x x) x) x) -1) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))
#s(approx (* (* x x) x) (.f64 (.f64 x 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 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))) x))
#s(approx (* (* (+ 1 x) (- 1 x)) x) (.f64 (neg.f64 x) (.f64 x x)))
#s(approx (* (* (+ 1 x) (- 1 x)) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) x) (.f64 x x)))
#s(approx (* (+ 1 x) (- 1 x)) (*.f64 (neg.f64 x) x))
#s(approx (* (+ 1 x) (- 1 x)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (+ 1 x) (-.f64 x #s(literal -1 binary64)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (pow.f64 x #s(literal 5 binary64)))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (*.f64 x x)) x))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) x)) x))
#s(approx (+ (* x x) -1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -12 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -1 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (* x x) x) x) -1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) x) (.f64 (*.f64 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 (* (* (+ 1 x) (- 1 x)) x) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (.f64 x x) x)))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)))))
#s(approx (* (+ (* (+ (* x x) -1) (* x x)) 1) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64)) (.f64 (.f64 x x) x)))
#s(approx (/ x (+ (* (* (* x x) x) x) -1)) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1 binary64))) (.f64 (neg.f64 x) (.f64 x x))))

eval576.0ms (24.1%)

Memory: -18.8MiB live, 199.6MiB allocated; 795ms collecting garbage
Compiler: Compiled 11 736 to 1 749 computations (85.1% saved)

prune20.0ms (0.8%)

Memory

-24.0MiB live, 21.2MiB allocated; 8ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	479	2	481
Fresh	0	0	0
Picked	3	0	3
Done	1	4	5
Total	483	6	489

Accuracy

100.0%

Counts

489 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	75.8%	(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
✓	54.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	47.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) x)))
✓	47.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
✓	48.5%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 67 to 46 computations (31.3% saved)

series4.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

12 → 34

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite151.0ms (6.3%)

Memory

15.8MiB live, 163.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	642
0	136	574
1	559	530
0	5069	503

Stop Event

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

Counts

46 → 232

Calls

Call 1

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

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

eval21.0ms (0.9%)

Memory: -7.4MiB live, 38.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 434 to 783 computations (82.3% saved)

prune8.0ms (0.3%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	215	6	221

Accuracy

100.0%

Counts

221 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
	75.8%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
✓	54.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	47.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) x)))
✓	47.6%	#s(approx (/ x (+ (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
✓	48.5%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 231 to 93 computations (59.7% saved)

regimes10.0ms (0.4%)

Memory

-29.8MiB live, 16.1MiB allocated; 4ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

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

Outputs

(*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (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:

6.0ms	x
3.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
100.0%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

7 → 2

Calls

Call 1

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

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 (0.1%)

Memory

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

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
79.9%	3	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
99.1%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB 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
48.5%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
48.5%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch6.0ms (0.2%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	0.02038345094728948	15538.470409621634

Samples

2.0ms

80×

valid

Compiler

Compiled 170 to 109 computations (35.9% 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)

bsearch9.0ms (0.4%)

Memory

-51.4MiB live, 3.0MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	15538.470409621634	1666735196053.8862

Samples

1.0ms

32×

valid

Compiler

Compiled 48 to 39 computations (18.8% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	15538.470409621634	1666735196053.8862

Compiler

Compiled 44 to 37 computations (15.9% saved)

bsearch9.0ms (0.4%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.02038345094728948	15538.470409621634

Samples

4.0ms

128×

valid

Compiler

Compiled 190 to 153 computations (19.5% saved)

Precisions

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

ival-mult!: 1.0ms (64.7% of total)

ival-div!: 1.0ms (64.7% of total)

adjust: 0.0ms (0% of total)

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

derivations165.0ms (6.9%)

Memory

17.3MiB live, 155.7MiB allocated; 8ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 113 to 32 computations (71.7% saved)

preprocess144.0ms (6%)

Memory: 8.0MiB live, 154.6MiB allocated; 56ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 353 to 168 computations (52.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample582.0ms (24.4%)

preprocess123.0ms (5.1%)

series3.0ms (0.1%)

rewrite122.0ms (5.1%)

eval21.0ms (0.9%)

prune5.0ms (0.2%)

series4.0ms (0.2%)

rewrite137.0ms (5.7%)

eval30.0ms (1.3%)

prune9.0ms (0.4%)

series8.0ms (0.3%)

rewrite211.0ms (8.9%)

eval576.0ms (24.1%)

prune20.0ms (0.8%)

series4.0ms (0.2%)

rewrite151.0ms (6.3%)

eval21.0ms (0.9%)

prune8.0ms (0.3%)

regimes10.0ms (0.4%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch6.0ms (0.2%)

bsearch9.0ms (0.4%)

bsearch0.0ms (0%)

bsearch9.0ms (0.4%)

derivations165.0ms (6.9%)

preprocess144.0ms (6%)

end0.0ms (0%)

Profiling