Metrics for x / (x^2 + 1)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample765.0ms (36.8%)

Memory

93.9MiB live, 795.2MiB allocated; 296ms collecting garbage

Samples

468.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-div: 119.0ms (50.2% of total)

ival-mult: 62.0ms (26.1% of total)

ival-add: 47.0ms (19.8% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain68.0ms (3.3%)

Memory

18.4MiB live, 108.7MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
70	-	-	`(/.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	70	0
↳	`(*.f64 x x)`	overflow	70
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	70

Confusion

	Predicted +	Predicted -
+	70	0
-	0	186

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	0
-	0	0	186

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	186
1	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (39% of total)

ival-div: 3.0ms (29.2% of total)

ival-add: 2.0ms (19.5% 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)

preprocess230.0ms (11.1%)

Memory

6.3MiB live, 196.4MiB allocated; 25ms 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

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series20.0ms (1%)

Memory

-32.3MiB live, 18.0MiB allocated; 8ms 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
18.0ms	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)

rewrite128.0ms (6.2%)

Memory

21.5MiB live, 113.5MiB allocated; 6ms 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 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 x (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
x
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 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 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (.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 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #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 (*.f64 x x) #s(literal -1 binary64)) #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 (.f64 x x) #s(literal -1 binary64)))
(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 (fma.f64 (.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) x) x) #s(literal 1 binary64) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))) x))
#s(approx (/ x (+ (* x x) 1)) (-.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1 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 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (-.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 x)))

eval14.0ms (0.7%)

Memory: -23.8MiB live, 22.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 715 to 342 computations (80.1% saved)

prune129.0ms (6.2%)

Memory

-11.4MiB live, 63.6MiB allocated; 115ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	0	0
Picked	0	1	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
✓	74.4%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
▶	60.9%	(.f64 (/.f64 x (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)))
▶	52.5%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))) x))

Status

Accuracy

Program

✓

74.4%

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

▶

60.9%

(*.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)))

▶

52.5%

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

Compiler

Compiled 52 to 31 computations (40.4% saved)

series8.0ms (0.4%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

17 → 64

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ x (+ (* x x) 1)) (/ (+ (* (pow (pow (* x x) -1) 2) 1) (- 1 (pow (* x x) -1))) x) (+ (* (pow (pow (* x x) -1) 2) 1) (- 1 (pow (* x x) -1))) (pow (pow (* x x) -1) 2) (pow (* x x) -1) (* x x) x -1 2 1 (- 1 (pow (* x x) -1)) (* (/ x (+ (* (pow (* (* x x) -1) 2) 1) -1)) (+ (* (* x x) 1) -1)) (/ x (+ (* (pow (* (* x x) -1) 2) 1) -1)) (+ (* (pow (* (* x x) -1) 2) 1) -1) (pow (* (* x x) -1) 2) (* (* x x) -1) (+ (* (* x x) 1) -1))
2.0ms	x	@	inf	((/ x (+ (* x x) 1)) (/ (+ (* (pow (pow (* x x) -1) 2) 1) (- 1 (pow (* x x) -1))) x) (+ (* (pow (pow (* x x) -1) 2) 1) (- 1 (pow (* x x) -1))) (pow (pow (* x x) -1) 2) (pow (* x x) -1) (* x x) x -1 2 1 (- 1 (pow (* x x) -1)) (* (/ x (+ (* (pow (* (* x x) -1) 2) 1) -1)) (+ (* (* x x) 1) -1)) (/ x (+ (* (pow (* (* x x) -1) 2) 1) -1)) (+ (* (pow (* (* x x) -1) 2) 1) -1) (pow (* (* x x) -1) 2) (* (* x x) -1) (+ (* (* x x) 1) -1))
2.0ms	x	@	0	((/ x (+ (* x x) 1)) (/ (+ (* (pow (pow (* x x) -1) 2) 1) (- 1 (pow (* x x) -1))) x) (+ (* (pow (pow (* x x) -1) 2) 1) (- 1 (pow (* x x) -1))) (pow (pow (* x x) -1) 2) (pow (* x x) -1) (* x x) x -1 2 1 (- 1 (pow (* x x) -1)) (* (/ x (+ (* (pow (* (* x x) -1) 2) 1) -1)) (+ (* (* x x) 1) -1)) (/ x (+ (* (pow (* (* x x) -1) 2) 1) -1)) (+ (* (pow (* (* x x) -1) 2) 1) -1) (pow (* (* x x) -1) 2) (* (* x x) -1) (+ (* (* x x) 1) -1))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite220.0ms (10.6%)

Memory

-4.2MiB live, 183.0MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1635
0	212	1231
1	903	1089
0	8219	1047

Stop Event

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

Counts

81 → 501

Calls

Call 1

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

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

eval94.0ms (4.5%)

Memory: 16.9MiB live, 147.6MiB allocated; 25ms collecting garbage
Compiler: Compiled 23 106 to 2 565 computations (88.9% saved)

prune213.0ms (10.2%)

Memory

0.8MiB live, 335.6MiB allocated; 34ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	660	0	660
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	660	3	663

Accuracy

100.0%

Counts

663 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.4%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	60.9%	(.f64 (/.f64 x (fma.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)))
✓	52.5%	#s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))) x))

Status

Accuracy

Program

✓

74.4%

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

✓

60.9%

(*.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)))

✓

52.5%

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

Compiler

Compiled 104 to 54 computations (48.1% saved)

regimes3.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

(*.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)))

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

Outputs

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

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

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

Counts

2 → 2

Calls

Call 1

Inputs

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

(*.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)))

Outputs

(*.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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 (fma.f64 (pow.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) x))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.5%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
52.5%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch2.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	1018.9695898084187	189879.5099241183

Samples

1.0ms

16×

valid

Compiler

Compiled 43 to 31 computations (27.9% saved)

Precisions

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

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.4%)

Memory

-46.4MiB live, 0.8MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	1018.9695898084187	189879.5099241183

Compiler

Compiled 55 to 37 computations (32.7% saved)

simplify32.0ms (1.5%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	112
1	36	112
2	62	112
3	116	112
4	293	112
5	2263	112

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 x #s(literal 2000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) x)))

(if (<=.f64 x #s(literal 2000 binary64)) (*.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) x)))

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

Outputs

(if (<=.f64 x #s(literal 2000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) x)))

(if (<=.f64 x #s(literal 2000 binary64)) (*.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) x)))

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

derivations59.0ms (2.8%)

Memory

-36.7MiB live, 23.1MiB allocated; 15ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 112 to 27 computations (75.9% saved)

preprocess82.0ms (3.9%)

Memory: 37.2MiB live, 126.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 312 to 104 computations (66.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample765.0ms (36.8%)

explain68.0ms (3.3%)

preprocess230.0ms (11.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series20.0ms (1%)

rewrite128.0ms (6.2%)

eval14.0ms (0.7%)

prune129.0ms (6.2%)

series8.0ms (0.4%)

rewrite220.0ms (10.6%)

eval94.0ms (4.5%)

prune213.0ms (10.2%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch7.0ms (0.4%)

simplify32.0ms (1.5%)

derivations59.0ms (2.8%)

preprocess82.0ms (3.9%)

end0.0ms (0%)

Profiling