Metrics for x / (x^2 + 1)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (65.9%)

Memory

8.7MiB live, 865.7MiB allocated; 1.2s collecting garbage

Samples

980.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 709.0ms

ival-mult!: 614.0ms (86.6% of total)

ival-div!: 66.0ms (9.3% of total)

ival-add!: 28.0ms (3.9% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess63.0ms (3.3%)

Memory

-40.1MiB live, 60.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	43	21
2	107	21
3	240	21
4	1527	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(negabs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series6.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	259

Stop Event

1×	iter-limit

Counts

5 → 15

Calls

Call 1

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

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

rewrite69.0ms (3.7%)

Memory

2.0MiB live, 93.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	43	17
0	386	15

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

5 → 84

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

eval9.0ms (0.5%)

Memory: 21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 595 to 290 computations (51.3% saved)

prune5.0ms (0.3%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	89	6	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	6	96

Accuracy

100.0%

Counts

96 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
	61.8%	(.f64 (/.f64 x (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	75.8%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
▶	54.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	48.5%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 74 to 72 computations (2.7% saved)

series18.0ms (1%)

Memory

-33.2MiB live, 17.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	446

Stop Event

1×	iter-limit

Counts

13 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	((/ 1 (- x (/ -1 x))) 1 (- x (/ -1 x)) x (/ -1 x) -1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* (/ 1 (+ (* x x) 1)) x) (/ 1 (+ (* x x) 1)))
1.0ms	x	@	inf	((/ 1 (- x (/ -1 x))) 1 (- x (/ -1 x)) x (/ -1 x) -1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* (/ 1 (+ (* x x) 1)) x) (/ 1 (+ (* x x) 1)))
1.0ms	x	@	-inf	((/ 1 (- x (/ -1 x))) 1 (- x (/ -1 x)) x (/ -1 x) -1 (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (* (/ 1 (+ (* x x) 1)) x) (/ 1 (+ (* x x) 1)))

Time

Variable

Point

Expression

13.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite58.0ms (3.1%)

Memory

23.3MiB live, 69.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	23	60
1	99	60
0	803	60

Stop Event

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

Counts

13 → 229

Calls

Call 1

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

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

eval40.0ms (2.1%)

Memory: -32.6MiB live, 59.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 1 529 to 595 computations (61.1% saved)

prune7.0ms (0.4%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	227	1	228
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	228	6	234

Accuracy

100.0%

Counts

234 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.5%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
✓	75.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
✓	75.8%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
✓	54.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	48.5%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 37 to 37 computations (0% saved)

series9.0ms (0.5%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	503

Stop Event

1×	iter-limit

Counts

8 → 23

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite70.0ms (3.7%)

Memory

12.0MiB live, 64.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	38
0	13	38
1	69	29
0	598	29

Stop Event

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

Counts

8 → 121

Calls

Call 1

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

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

eval25.0ms (1.3%)

Memory: -10.4MiB live, 35.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 079 to 532 computations (50.7% saved)

prune8.0ms (0.4%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	136	6	142

Accuracy

100.0%

Counts

142 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.5%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
✓	75.8%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
✓	75.8%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
✓	54.4%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	48.5%	#s(approx (/ x (+ (* x x) 1)) x)

Compiler

Compiled 72 to 65 computations (9.7% saved)

regimes13.0ms (0.7%)

Memory

-35.2MiB live, 11.5MiB allocated; 3ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes7.0ms (0.4%)

Memory

16.0MiB live, 16.0MiB 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))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.3%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes4.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) x)

Outputs
#s(approx (/ x (+ (* x x) 1)) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.5%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
48.5%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch5.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	15538.470409621634	1666735196053.8862

Samples

2.0ms

32×

valid

Compiler

Compiled 34 to 37 computations (-8.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

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

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

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

bsearch22.0ms (1.2%)

Memory

-19.0MiB live, 26.7MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.02038345094728948	15538.470409621634

Samples

7.0ms

144×

valid

Compiler

Compiled 136 to 153 computations (-12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add!: 1.0ms (31.6% of total)

ival-mult!: 1.0ms (31.6% of total)

ival-div!: 1.0ms (31.6% of total)

adjust: 0.0ms (0% of total)

derivations9.0ms (0.5%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 24 to 20 computations (16.7% saved)

preprocess193.0ms (10.2%)

Memory: -27.4MiB live, 230.2MiB allocated; 49ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 115 to 102 computations (11.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (65.9%)

preprocess63.0ms (3.3%)

series6.0ms (0.3%)

rewrite69.0ms (3.7%)

eval9.0ms (0.5%)

prune5.0ms (0.3%)

series18.0ms (1%)

rewrite58.0ms (3.1%)

eval40.0ms (2.1%)

prune7.0ms (0.4%)

series9.0ms (0.5%)

rewrite70.0ms (3.7%)

eval25.0ms (1.3%)

prune8.0ms (0.4%)

regimes13.0ms (0.7%)

regimes7.0ms (0.4%)

regimes5.0ms (0.3%)

regimes4.0ms (0.2%)

bsearch5.0ms (0.2%)

bsearch22.0ms (1.2%)

derivations9.0ms (0.5%)

preprocess193.0ms (10.2%)

end0.0ms (0%)

Profiling