Metrics for x / (x^2 + 1)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample755.0ms (25%)

Memory

-33.3MiB live, 1 185.6MiB allocated; 112ms collecting garbage

Samples

511.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-mult: 111.0ms (38.9% of total)

ival-div: 106.0ms (37.2% of total)

ival-add: 56.0ms (19.6% of total)

exact: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain65.0ms (2.1%)

Memory

26.5MiB live, 169.8MiB allocated; 2ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
69	-	-	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	n/o	69	0
↳	`(*.f64 x x)`	overflow	69
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	69

Confusion

	Predicted +	Predicted -
+	69	0
-	0	187

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	0
-	0	0	187

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	187
1	69

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (35.4% of total)

ival-div: 3.0ms (26.5% of total)

ival-add: 3.0ms (26.5% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess215.0ms (7.1%)

Memory

5.5MiB live, 291.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	28	22
2	62	21
3	91	21
4	164	21
5	408	21
6	2768	21
7	6481	21
0	5	7
0	8	7
1	15	7
2	37	7
3	77	7
4	138	7
5	347	7
6	2391	7
7	5991	7
0	8230	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series4.0ms (0.1%)

Memory

-40.6MiB live, 7.0MiB allocated; 1ms collecting garbage

Counts

5 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	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)

rewrite120.0ms (4%)

Memory

21.5MiB live, 167.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	302
0	72	267
1	361	257
0	3689	234

Stop Event

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

Counts

22 → 111

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
x
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #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 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) x))
#s(approx x x)
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 x)))

eval12.0ms (0.4%)

Memory: -18.6MiB live, 28.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 388 to 341 computations (75.4% saved)

prune90.0ms (3%)

Memory

-7.3MiB live, 186.4MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	3	115

Accuracy

100.0%

Counts

115 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.5%	(/.f64 x (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
▶	60.2%	(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	53.8%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))

Status

Accuracy

Program

▶

55.5%

(/.f64 x (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))

▶

60.2%

(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))

▶

53.8%

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

Compiler

Compiled 57 to 39 computations (31.6% saved)

series12.0ms (0.4%)

Memory

30.8MiB live, 30.8MiB allocated; 0ms collecting garbage

Counts

28 → 112

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
(/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x)
(-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64)))
(-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -4 binary64))
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
(/.f64 x (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.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 (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ -1 (pow x 7))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 7))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) (pow x 7))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) (pow x 7))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (/ -1 (pow x 6))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 6))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) (pow x 6))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) (pow x 6))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 4))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (pow x 2) 1))) (pow x 4))))
#s(approx (- (pow x -4) -1) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (- (pow x -4) -1) #s(hole binary64 (/ (+ 1 (pow x 4)) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx x #s(hole binary64 x))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x -6) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (- (pow x 4) 1) #s(hole binary64 -1))
#s(approx (- (pow x 4) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (+ 1 (* (pow x 4) (- (pow x 2) 1)))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 1 (* -1 (pow x 4)))) 1)))))
#s(approx (- (pow x 6) 1) #s(hole binary64 -1))
#s(approx (- (pow x 6) 1) #s(hole binary64 (- (pow x 6) 1)))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#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 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 (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 1))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 1))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
#s(approx (- (pow x -4) -1) #s(hole binary64 1))
#s(approx (- (pow x -4) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 4)))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (- (pow x 4) 1) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 6))) (/ 1 (pow x 4))) (pow x 2))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 6))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 10)))) (pow x 2))))
#s(approx (- (pow x 6) 1) #s(hole binary64 (pow x 6)))
#s(approx (- (pow x 6) 1) #s(hole binary64 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (pow x 4)))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* 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
4.0ms	x	@	0	((/ x (+ (* x x) 1)) (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) (- (- (pow x -4) -1) (pow x -2)) (- (pow x -4) -1) (pow x -4) x -4 -1 (pow x -2) -2 (pow x -6) -6 (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) -1) (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) (/ (- (pow x 4) 1) (- (pow x 6) 1)) (- (pow x 6) 1) (pow x 6) 6 (+ (pow x 4) (+ (* x x) 1)) (+ (* x x) 1))
3.0ms	x	@	inf	((/ x (+ (* x x) 1)) (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) (- (- (pow x -4) -1) (pow x -2)) (- (pow x -4) -1) (pow x -4) x -4 -1 (pow x -2) -2 (pow x -6) -6 (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) -1) (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) (/ (- (pow x 4) 1) (- (pow x 6) 1)) (- (pow x 6) 1) (pow x 6) 6 (+ (pow x 4) (+ (* x x) 1)) (+ (* x x) 1))
3.0ms	x	@	-inf	((/ x (+ (* x x) 1)) (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) (- (- (pow x -4) -1) (pow x -2)) (- (pow x -4) -1) (pow x -4) x -4 -1 (pow x -2) -2 (pow x -6) -6 (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) -1) (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) (/ (- (pow x 4) 1) (- (pow x 6) 1)) (- (pow x 6) 1) (pow x 6) 6 (+ (pow x 4) (+ (* x x) 1)) (+ (* x x) 1))

Time

Variable

Point

Expression

4.0ms

((/ x (+ (* x x) 1)) (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) (- (- (pow x -4) -1) (pow x -2)) (- (pow x -4) -1) (pow x -4) x -4 -1 (pow x -2) -2 (pow x -6) -6 (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) -1) (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) (/ (- (pow x 4) 1) (- (pow x 6) 1)) (- (pow x 6) 1) (pow x 6) 6 (+ (pow x 4) (+ (* x x) 1)) (+ (* x x) 1))

3.0ms

inf

((/ x (+ (* x x) 1)) (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) (- (- (pow x -4) -1) (pow x -2)) (- (pow x -4) -1) (pow x -4) x -4 -1 (pow x -2) -2 (pow x -6) -6 (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) -1) (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) (/ (- (pow x 4) 1) (- (pow x 6) 1)) (- (pow x 6) 1) (pow x 6) 6 (+ (pow x 4) (+ (* x x) 1)) (+ (* x x) 1))

3.0ms

-inf

((/ x (+ (* x x) 1)) (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) (- (- (pow x -4) -1) (pow x -2)) (- (pow x -4) -1) (pow x -4) x -4 -1 (pow x -2) -2 (pow x -6) -6 (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) -1) (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) (/ (- (pow x 4) 1) (- (pow x 6) 1)) (- (pow x 6) 1) (pow x 6) 6 (+ (pow x 4) (+ (* x x) 1)) (+ (* x x) 1))

rewrite170.0ms (5.6%)

Memory

-24.2MiB live, 307.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	2616
0	315	2399
1	1230	2357
0	8530	2345

Stop Event

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

Counts

140 → 520

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
(/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x)
(-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64)))
(-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -4 binary64))
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
(/.f64 x (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.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 (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ -1 (pow x 7))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 7))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) (pow x 7))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) (pow x 7))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (/ -1 (pow x 6))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (/ (- (pow x 2) 1) (pow x 6))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) (pow x 6))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) (pow x 6))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 4))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (pow x 2) 1))) (pow x 4))))
#s(approx (- (pow x -4) -1) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (- (pow x -4) -1) #s(hole binary64 (/ (+ 1 (pow x 4)) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx x #s(hole binary64 x))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x -6) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* -1 (pow x 4)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))))
#s(approx (- (pow x 4) 1) #s(hole binary64 -1))
#s(approx (- (pow x 4) 1) #s(hole binary64 (- (pow x 4) 1)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (+ 1 (* -1 (pow x 4)))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (+ 1 (* (pow x 4) (- (pow x 2) 1)))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 1 (* -1 (pow x 4)))) 1)))))
#s(approx (- (pow x 6) 1) #s(hole binary64 -1))
#s(approx (- (pow x 6) 1) #s(hole binary64 (- (pow x 6) 1)))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
#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 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 (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 1))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 1))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (- 1 (/ 1 (pow x 2)))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))
#s(approx (- (pow x -4) -1) #s(hole binary64 1))
#s(approx (- (pow x -4) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 4)))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow x 4))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))))
#s(approx (- (pow x 4) 1) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 1) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 6))) (/ 1 (pow x 4))) (pow x 2))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 6))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 10)))) (pow x 2))))
#s(approx (- (pow x 6) 1) #s(hole binary64 (pow x 6)))
#s(approx (- (pow x 6) 1) #s(hole binary64 (* (pow x 6) (- 1 (/ 1 (pow x 6))))))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (pow x 4)))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(hole binary64 (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (+ (* x x) 1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))))
#s(approx (/ x (- (pow x 4) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))))

Outputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -6 binary64))) x))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) x)) (.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) x) (/.f64 (pow.f64 x #s(literal -6 binary64)) x))) (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (/.f64 (pow.f64 x #s(literal -6 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (fma.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) x) (/.f64 (pow.f64 x #s(literal -6 binary64)) x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (/.f64 (pow.f64 x #s(literal -6 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -6 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (.f64 x (pow.f64 x #s(literal -6 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 x))
(/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -6 binary64))) x)
(-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) x) (/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
(-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (/.f64 (pow.f64 x #s(literal -6 binary64)) x))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
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#s(approx (/ x (+ (* x x) 1)) x)
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#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) x)
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* 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 (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) #s(literal 1 binary64))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (pow x 6) 1) #s(literal -1 binary64))
#s(approx (- (pow x 6) 1) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
#s(approx (pow x 6) (pow.f64 x #s(literal 6 binary64)))
#s(approx (+ (pow x 4) (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (+ (pow x 4) (+ (* x x) 1)) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (pow x 4) (+ (* x x) 1)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #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 x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) #s(literal 1 binary64))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) #s(literal 1 binary64))
#s(approx (- (- (pow x -4) -1) (pow x -2)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (- (pow x -4) -1) (pow x -2)) (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (pow x -4) -1) #s(literal 1 binary64))
#s(approx (- (pow x -4) -1) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (/ x (- (pow x 4) 1)) (pow.f64 x #s(literal -3 binary64)))
#s(approx (/ x (- (pow x 4) 1)) (+.f64 (pow.f64 x #s(literal -7 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -8 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -8 binary64)) (pow.f64 x #s(literal -12 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (pow x 4) 1) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) (*.f64 x x))
#s(approx (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64))))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (*.f64 x x)))
#s(approx (/ (- (pow x 4) 1) (- (pow x 6) 1)) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal -10 binary64))) (*.f64 x x)))
#s(approx (- (pow x 6) 1) (pow.f64 x #s(literal 6 binary64)))
#s(approx (- (pow x 6) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (pow x 4) (+ (* x x) 1)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (pow x 4) (+ (* x x) 1)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
#s(approx (+ (pow x 4) (+ (* x x) 1)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ (* x x) 1)) (neg.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) x)))
#s(approx (/ x (+ (* x x) 1)) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) x)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (neg.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) x)))
#s(approx (/ (- (- (- (pow x -4) -1) (pow x -2)) (pow x -6)) x) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (neg.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) x)))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -8 binary64)) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -8 binary64)) (pow.f64 x #s(literal -12 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (neg.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -4 binary64))) x)))
#s(approx (/ x (* (/ (- (pow x 4) 1) (- (pow x 6) 1)) (+ (pow x 4) (+ (* x x) 1)))) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))) x)))

eval64.0ms (2.1%)

Memory: 27.7MiB live, 170.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 17 350 to 2 489 computations (85.7% saved)

prune1.4s (45.2%)

Memory

-27.8MiB live, 2 999.7MiB allocated; 64ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	613	0	613
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	613	3	616

Accuracy

100.0%

Counts

616 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.5%	(/.f64 x (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
✓	60.2%	(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	53.8%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))

Status

Accuracy

Program

✓

55.5%

(/.f64 x (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))

✓

60.2%

(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))

✓

53.8%

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

Compiler

Compiled 121 to 74 computations (38.8% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 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)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.8%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
53.8%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch10.0ms (0.3%)

Memory

-22.6MiB live, 25.5MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.440252969481124	96.96490110959076

Samples

4.0ms

112×

valid

Compiler

Compiled 255 to 205 computations (19.6% saved)

Precisions

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

ival-div: 1.0ms (43% of total)

ival-add: 1.0ms (43% of total)

ival-mult: 1.0ms (43% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify36.0ms (1.2%)

Memory

10.7MiB live, 58.4MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	62
1	41	62
2	75	62
3	125	62
4	204	62
5	510	62
6	3674	62

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 95 binary64)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))

Inputs

(if (<=.f64 x #s(literal 95 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x)))

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

Outputs
(if (<=.f64 x #s(literal 95 binary64)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x))

Outputs

(if (<=.f64 x #s(literal 95 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) x)))

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

derivations27.0ms (0.9%)

Memory

-10.4MiB live, 37.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 62 to 27 computations (56.5% saved)

preprocess69.0ms (2.3%)

Memory: 17.0MiB live, 160.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 216 to 118 computations (45.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample755.0ms (25%)

explain65.0ms (2.1%)

preprocess215.0ms (7.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

rewrite120.0ms (4%)

eval12.0ms (0.4%)

prune90.0ms (3%)

series12.0ms (0.4%)

rewrite170.0ms (5.6%)

eval64.0ms (2.1%)

prune1.4s (45.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch10.0ms (0.3%)

simplify36.0ms (1.2%)

derivations27.0ms (0.9%)

preprocess69.0ms (2.3%)

end0.0ms (0%)

Profiling