Metrics for x / (x^2 + 1)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample477.0ms (32.6%)

Memory

-5.8MiB live, 950.0MiB allocated; 97ms collecting garbage

Samples

272.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult!: 50.0ms (38% of total)

ival-div!: 41.0ms (31.1% of total)

ival-add!: 39.0ms (29.6% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

explain85.0ms (5.8%)

Memory

-7.9MiB live, 135.8MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
58	-	-	`(/.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	58	0
↳	`(*.f64 x x)`	overflow	58
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	58

Confusion

	Predicted +	Predicted -
+	58	0
-	0	198

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	0
-	0	0	198

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

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!: 7.0ms (65.7% of total)

ival-div!: 2.0ms (18.8% of total)

ival-add!: 1.0ms (9.4% of total)

adjust: 0.0ms (0% of total)

preprocess97.0ms (6.6%)

Memory

9.0MiB live, 38.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	28	22
2	62	21
3	91	21
4	164	21
5	408	21
6	2752	21
7	5865	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Symmetry

(negabs x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series3.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

5 → 17

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite170.0ms (11.6%)

Memory

-21.6MiB live, 178.1MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	302
0	72	267
1	360	257
0	3626	234

Stop Event

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

Counts

22 → 189

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))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 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 (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)))
(/.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)))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (fabs.f64 x)) (fabs.f64 x) (.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 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x) (.f64 x x))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) x) x (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) x) x (.f64 x x))
(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) (.f64 (neg.f64 x) (pow.f64 x #s(literal -2 binary64))) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (pow.f64 x #s(literal -2 binary64))) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (pow.f64 x #s(literal -2 binary64))) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (pow.f64 x #s(literal -2 binary64))) (.f64 x x))
(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 (pow.f64 x #s(literal -2 binary64)) (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64)) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64)) (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x (.f64 x (pow.f64 x #s(literal -2 binary64))) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fma.f64 x (.f64 x (pow.f64 x #s(literal -2 binary64))) (.f64 x x))
(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))))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (pow.f64 x #s(literal -2 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (*.f64 x x) #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 9 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 4 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 x #s(literal 0 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))
(/.f64 (.f64 x x) (.f64 x x))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(neg.f64 #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) x) x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (*.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(cosh.f64 #s(literal 0 binary64))
(fabs.f64 #s(literal 1 binary64))
(exp.f64 #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 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 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) 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)))

eval18.0ms (1.2%)

Memory: 34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 478 to 618 computations (75.1% saved)

prune9.0ms (0.6%)

Memory

-32.9MiB live, 14.0MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	199	7	206
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	7	207

Accuracy

100.0%

Counts

207 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	26.6%	(/.f64 x #s(approx (+ (* x x) 1) (*.f64 x x)))
	63.7%	(.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)))
	67.5%	(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	47.9%	#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
▶	52.9%	#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
▶	54.3%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 158 to 108 computations (31.6% saved)

series4.0ms (0.3%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

15 → 24

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) 3)
1.0ms	x	@	inf	((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) 3)
1.0ms	x	@	0	((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) 3)

Time

Variable

Point

Expression

2.0ms

-inf

((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) 3)

1.0ms

inf

((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) 3)

1.0ms

((/ x (+ (* x x) 1)) x (+ (* x x) 1) 1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* x x) (/ x (+ (* x x) 1)) (pow x -1) -1 (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) 3)

rewrite130.0ms (8.9%)

Memory

31.1MiB live, 124.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	429
0	98	382
1	417	372
0	3902	368

Stop Event

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

Counts

39 → 289

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

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

eval37.0ms (2.6%)

Memory: -30.6MiB live, 61.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 059 to 1 028 computations (79.7% saved)

prune6.0ms (0.4%)

Memory

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

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	364	2	366
Fresh	0	2	2
Picked	3	2	5
Done	0	0	0
Total	367	6	373

Accuracy

100.0%

Counts

373 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	63.7%	(.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)))
▶	67.5%	(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	52.9%	#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (neg.f64 x) x) x x))
▶	47.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	54.3%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 70 to 47 computations (32.9% saved)

series12.0ms (0.8%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

22 → 84

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (neg.f64 x) x) x x))
(fma.f64 (*.f64 (neg.f64 x) x) x x)
(*.f64 (neg.f64 x) x)
(neg.f64 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 (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)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(.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 x (-.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)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #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 (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (neg x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (neg x) x) x) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -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 6) -1)) #s(hole binary64 x))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 6))))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 6) (- (pow x 6) 1))))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1 (* -1 (pow x 6)))) 1))))))
#s(approx (- (pow x 6) -1) #s(hole binary64 1))
#s(approx (- (pow x 6) -1) #s(hole binary64 (+ 1 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (* x x) #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 (+ (* (* (neg x) x) x) x) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (+ (* (* (neg x) x) x) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1))))
#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 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -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 6) -1)) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 6))) (pow x 5))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 12))) (/ 1 (pow x 6))) (pow x 5))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 12))) (+ (/ 1 (pow x 6)) (/ 1 (pow x 18)))) (pow x 5))))
#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 (+ (* (+ (* 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 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 (+ (* (* (neg x) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))))
#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 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -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 6) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 6)) 1) (pow x 5)))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 6)) (+ 1 (/ 1 (pow x 12)))) (pow x 5)))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 6)) (/ 1 (pow x 18))) (+ 1 (/ 1 (pow x 12)))) (pow x 5)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ x (+ (* x x) 1)) (/ 1 x) 1 x (/ x (+ (* x x) 1)) (+ (* (* (neg x) x) x) x) (* (neg x) x) (neg x) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) -1) -1 (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) (/ x (- (pow x 6) -1)) (- (pow x 6) -1) (pow x 6) 6 (+ (* (+ (* x x) -1) (* x x)) 1) (* x x))
4.0ms	x	@	-inf	((/ x (+ (* x x) 1)) (/ 1 x) 1 x (/ x (+ (* x x) 1)) (+ (* (* (neg x) x) x) x) (* (neg x) x) (neg x) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) -1) -1 (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) (/ x (- (pow x 6) -1)) (- (pow x 6) -1) (pow x 6) 6 (+ (* (+ (* x x) -1) (* x x)) 1) (* x x))
3.0ms	x	@	0	((/ x (+ (* x x) 1)) (/ 1 x) 1 x (/ x (+ (* x x) 1)) (+ (* (* (neg x) x) x) x) (* (neg x) x) (neg x) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) -1) -1 (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) (/ x (- (pow x 6) -1)) (- (pow x 6) -1) (pow x 6) 6 (+ (* (+ (* x x) -1) (* x x)) 1) (* x x))

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

rewrite145.0ms (9.9%)

Memory

-16.4MiB live, 169.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	1821
0	263	1641
1	1093	1586
0	8932	1550

Stop Event

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

Counts

106 → 482

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (neg.f64 x) x) x x))
(fma.f64 (*.f64 (neg.f64 x) x) x x)
(*.f64 (neg.f64 x) x)
(neg.f64 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 (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)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(.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 x (-.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)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #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 (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (neg x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (neg x) x) x) x) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 x))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 2))))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -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 6) -1)) #s(hole binary64 x))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* x (+ 1 (* -1 (pow x 6))))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 6) (- (pow x 6) 1))))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1 (* -1 (pow x 6)))) 1))))))
#s(approx (- (pow x 6) -1) #s(hole binary64 1))
#s(approx (- (pow x 6) -1) #s(hole binary64 (+ 1 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (* x x) #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 (+ (* (* (neg x) x) x) x) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (+ (* (* (neg x) x) x) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1))))
#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 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -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 6) -1)) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (/ (- 1 (/ 1 (pow x 6))) (pow x 5))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 12))) (/ 1 (pow x 6))) (pow x 5))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 12))) (+ (/ 1 (pow x 6)) (/ 1 (pow x 18)))) (pow x 5))))
#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 (+ (* (+ (* 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 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 (+ (* (* (neg x) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))))
#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 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -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 6) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 6)) 1) (pow x 5)))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* -1 (/ (- (/ 1 (pow x 6)) (+ 1 (/ 1 (pow x 12)))) (pow x 5)))))
#s(approx (/ x (- (pow x 6) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (pow x 6)) (/ 1 (pow x 18))) (+ 1 (/ 1 (pow x 12)))) (pow x 5)))))

Outputs
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal -6 binary64)))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 6 binary64))
(pow.f64 #s(literal -1 binary64) #s(literal 4 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 9 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 4 binary64))
(pow.f64 x #s(literal 0 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(neg.f64 #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal -6 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(cosh.f64 #s(literal 0 binary64))
(fabs.f64 #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(exp.f64 #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 6 binary64))) (-.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(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)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x)
(fma.f64 (neg.f64 x) (*.f64 x x) x)
(fma.f64 (*.f64 (neg.f64 x) x) x x)
(fma.f64 (*.f64 x x) (neg.f64 x) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(fma.f64 x (*.f64 (neg.f64 x) x) x)
(fma.f64 x #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 x (-.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))))
(+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
(+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))
(*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) x)
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))
(*.f64 x (neg.f64 x))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 x x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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 (-.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (.f64 (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))) (-.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x))) (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))) (-.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 (.f64 (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)))
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 x x)) (*.f64 (neg.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
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(-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (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 (fabs.f64 x) (fabs.f64 x))
(*.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))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ x (+ (* x x) 1)) x)
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) x x))
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (-.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (+ (* (* (neg x) x) x) x) x)
#s(approx (+ (* (* (neg x) x) x) x) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) x)
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) x x))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (.f64 (fma.f64 (-.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (- (pow x 4) 1)) (neg.f64 x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ x (- (pow x 4) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x))
#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 (pow x 4) (pow.f64 x #s(literal 4 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 (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) x)
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) (fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) x x))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) (.f64 (fma.f64 (-.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (- (pow x 6) -1)) x)
#s(approx (/ x (- (pow x 6) -1)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) x))
#s(approx (/ x (- (pow x 6) -1)) (fma.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) x x))
#s(approx (/ x (- (pow x 6) -1)) (*.f64 (fma.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x))
#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 (+ (* (+ (* x x) -1) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.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 (+ (* (* (neg x) x) x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
#s(approx (+ (* (* (neg x) x) x) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 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 -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)) (/.f64 (-.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -12 binary64)) (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 (- (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 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -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 6) -1)) (+ (* (+ (* x x) -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 6) -1)) (pow.f64 x #s(literal -5 binary64)))
#s(approx (/ x (- (pow x 6) -1)) (-.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -11 binary64))))
#s(approx (/ x (- (pow x 6) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -12 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ x (- (pow x 6) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -12 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal -18 binary64)) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow x 6) -1) (pow.f64 x #s(literal 6 binary64)))
#s(approx (- (pow x 6) -1) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* (+ (* x x) -1) (* x x)) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* x x) -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))) (pow.f64 x #s(literal 4 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)))
#s(approx (+ (* (* (neg x) x) x) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* (/ x (- (pow x 4) 1)) (+ (* 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 (- (pow x 4) 1)) (+ (* 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)))
#s(approx (/ x (- (pow x 4) 1)) (/.f64 (-.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)) (/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -12 binary64)) (pow.f64 x #s(literal -8 binary64)))) (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* x x)) 1)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (* (/ x (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* 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 (- (pow x 6) -1)) (+ (* (+ (* x x) -1) (* 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)))
#s(approx (/ x (- (pow x 6) -1)) (neg.f64 (-.f64 (pow.f64 x #s(literal -11 binary64)) (pow.f64 x #s(literal -5 binary64)))))
#s(approx (/ x (- (pow x 6) -1)) (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -12 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ x (- (pow x 6) -1)) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -18 binary64)) (pow.f64 x #s(literal -6 binary64))) (-.f64 (pow.f64 x #s(literal -12 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))

eval139.0ms (9.5%)

Memory: 21.7MiB live, 115.5MiB allocated; 96ms collecting garbage
Compiler: Compiled 14 514 to 2 176 computations (85% saved)

prune14.0ms (1%)

Memory

-17.7MiB live, 28.7MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	707	0	707
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	707	6	713

Accuracy

100.0%

Counts

713 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	63.7%	(.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)))
✓	67.5%	(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	52.9%	#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (neg.f64 x) x) x x))
✓	47.9%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	54.3%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 182 to 86 computations (52.7% saved)

regimes6.0ms (0.4%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
80.6%	3	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
98.4%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB 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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
54.3%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
54.3%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch3.0ms (0.2%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	49086.46361468408	103451826630.90398

Samples

1.0ms

32×

valid

Compiler

Compiled 44 to 37 computations (15.9% 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)

bsearch12.0ms (0.8%)

Memory

-33.3MiB live, 12.7MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.0441009823387725e-6	8.998064998611893

Samples

6.0ms

144×

valid

Compiler

Compiled 244 to 180 computations (26.2% saved)

Precisions

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

ival-mult!: 1.0ms (56.3% of total)

ival-div!: 1.0ms (56.3% of total)

adjust: 0.0ms (0% of total)

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

bsearch3.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.0441009823387725e-6	8.998064998611893

Samples

1.0ms

32×

valid

Compiler

Compiled 190 to 153 computations (19.5% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

derivations1.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 84 to 23 computations (72.6% saved)

preprocess85.0ms (5.8%)

Memory: 26.0MiB live, 119.8MiB allocated; 27ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 364 to 156 computations (57.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample477.0ms (32.6%)

explain85.0ms (5.8%)

preprocess97.0ms (6.6%)

series3.0ms (0.2%)

rewrite170.0ms (11.6%)

eval18.0ms (1.2%)

prune9.0ms (0.6%)

series4.0ms (0.3%)

rewrite130.0ms (8.9%)

eval37.0ms (2.6%)

prune6.0ms (0.4%)

series12.0ms (0.8%)

rewrite145.0ms (9.9%)

eval139.0ms (9.5%)

prune14.0ms (1%)

regimes6.0ms (0.4%)

regimes3.0ms (0.2%)

regimes1.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch3.0ms (0.2%)

bsearch12.0ms (0.8%)

bsearch3.0ms (0.2%)

derivations1.0ms (0.1%)

preprocess85.0ms (5.8%)

end0.0ms (0%)

Profiling