Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze2.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.9%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample856.0ms (31.8%)

Memory

3.4MiB live, 1 404.1MiB allocated; 335ms collecting garbage

Samples

537.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-mult!: 164.0ms (54.9% of total)

ival-div!: 87.0ms (29.1% of total)

ival-sub!: 46.0ms (15.4% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess69.0ms (2.5%)

Memory

-38.6MiB live, 53.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	58
1	132	51
2	1018	39
3	6652	39

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.5%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

29.5%

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Symmetry

(abs i)

Compiler

Compiled 36 to 20 computations (44.4% saved)

series7.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

10 → 17

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i i) (* i i)) #s(hole binary64 (pow i 4)))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (* (* 2 i) (* 2 i)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* 2 i) #s(hole binary64 (* 2 i)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 -1))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)
2.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)
2.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

Time

Variable

Point

Expression

2.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

2.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

2.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

rewrite214.0ms (7.9%)

Memory

-1.3MiB live, 245.2MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	495
0	93	378
1	493	378
0	5709	352

Stop Event

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

Counts

27 → 388

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i i) (* i i)) #s(hole binary64 (pow i 4)))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (* (* 2 i) (* 2 i)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* 2 i) #s(hole binary64 (* 2 i)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 -1))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))

Outputs
(.f64 (/.f64 (.f64 i (.f64 (.f64 (.f64 i i) i) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 i (.f64 (.f64 (.f64 i i) i) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (fma.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (.f64 i i) i) (.f64 (.f64 #s(literal 4 binary64) i) i)) (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 (.f64 #s(literal 4 binary64) i) i)) (/.f64 (.f64 (neg.f64 i) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (/.f64 i (.f64 (.f64 #s(literal 4 binary64) i) i)) (/.f64 (.f64 (.f64 i i) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i (/.f64 i (+.f64 i i))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 i (/.f64 i (+.f64 i i))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i (/.f64 i (+.f64 i i))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (/.f64 (.f64 i (/.f64 i (+.f64 i i))) (.f64 (.f64 #s(literal 4 binary64) i) i)))
(.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) i) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (.f64 (.f64 #s(literal 4 binary64) i) i)))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i i) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (/.f64 (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (.f64 i i))) (.f64 (.f64 #s(literal 4 binary64) i) i)))
(.f64 (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (.f64 i i))) (/.f64 (.f64 i i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (.f64 i (.f64 (.f64 (.f64 i i) i) (/.f64 #s(literal 1/4 binary64) (*.f64 i i)))))
(.f64 (.f64 (.f64 i i) i) (/.f64 i (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 (.f64 i (/.f64 i (+.f64 i i))) (.f64 (.f64 i (/.f64 i (+.f64 i i))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(.f64 (.f64 i (/.f64 i (+.f64 i i))) (/.f64 (.f64 i (/.f64 i (+.f64 i i))) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (/.f64 #s(literal -1/4 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (.f64 i i) i) i) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (.f64 (.f64 (.f64 i i) i) i) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (.f64 #s(literal 4 binary64) i) i))))
(.f64 (.f64 (neg.f64 i) i) (/.f64 (.f64 (neg.f64 i) i) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (.f64 i i))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(.f64 (.f64 i i) (/.f64 (.f64 i i) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 (.f64 i i) (/.f64 (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (.f64 i i))) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i))) (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))))))
(.f64 (.f64 i (.f64 (.f64 (.f64 i i) i) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(.f64 i (/.f64 (.f64 (.f64 i i) i) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i))) (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 i (.f64 (.f64 (.f64 i i) i) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) (/.f64 i (+.f64 i i))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (+.f64 i i))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) (neg.f64 i)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) (.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 4 binary64) i) i))
(/.f64 (/.f64 (.f64 i (.f64 (.f64 (.f64 i i) i) (/.f64 #s(literal 1/4 binary64) (*.f64 i i)))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 i (.f64 (.f64 (.f64 i i) i) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (.f64 (.f64 #s(literal 4 binary64) i) i))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) (/.f64 i (+.f64 i i))) #s(literal 1 binary64)) (.f64 (+.f64 i i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) (neg.f64 i)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (.f64 i i) i) (/.f64 i (+.f64 i i))) (.f64 (+.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) i) i))))
(/.f64 (.f64 (.f64 (.f64 (.f64 i i) i) i) (/.f64 #s(literal -1/4 binary64) (.f64 i i))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 i i) i) (neg.f64 i)) (.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (.f64 i i) i) (neg.f64 i)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(/.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) i) i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i))) (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (.f64 i i))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (.f64 #s(literal 4 binary64) i) i)) (.f64 (.f64 (*.f64 i i) i) i)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i))) (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) i) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
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#s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))

eval33.0ms (1.2%)

Memory: -3.0MiB live, 86.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 540 to 1 219 computations (65.6% saved)

prune12.0ms (0.4%)

Memory

-11.0MiB live, 32.4MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	374	7	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	375	7	382

Accuracy

100.0%

Counts

382 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
	56.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i))) (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))))
▶	46.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
	54.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) (.f64 i i) #s(literal -1/4 binary64)) i) i))
▶	53.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
▶	54.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i)))
▶	46.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 274 to 210 computations (23.4% saved)

series8.0ms (0.3%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

25 → 27

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
#s(literal 1/4 binary64)
(*.f64 i i)
i
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
#s(literal -1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i)))
(.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i))
(neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))
(fma.f64 i i #s(literal 1/4 binary64))

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 -1))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (* (* 2 i) (* 2 i)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* 2 i) #s(hole binary64 (* 2 i)))
#s(approx (- (/ 1/64 (* i i)) -1/16) #s(hole binary64 (/ 1/64 (pow i 2))))
#s(approx (- (/ 1/64 (* i i)) -1/16) #s(hole binary64 (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))))
#s(approx (neg (+ (* i i) 1/4)) #s(hole binary64 -1/4))
#s(approx (neg (+ (* i i) 1/4)) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (+ (* i i) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* i i) 1/4) #s(hole binary64 (+ 1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#s(approx (* (neg (+ (* i i) 1/4)) (* i i)) #s(hole binary64 (* -1 (pow i 4))))
#s(approx (* (neg (+ (* i i) 1/4)) (* i i)) #s(hole binary64 (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (neg (+ (* i i) 1/4)) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (neg (+ (* i i) 1/4)) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (+ (* i i) 1/4) #s(hole binary64 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ 1/64 (* i i)) -1/16) (/ 1/64 (* i i)) 1/64 -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg (+ (* i i) 1/4)) (* i i)) (neg (+ (* i i) 1/4)) (+ (* i i) 1/4))
2.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ 1/64 (* i i)) -1/16) (/ 1/64 (* i i)) 1/64 -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg (+ (* i i) 1/4)) (* i i)) (neg (+ (* i i) 1/4)) (+ (* i i) 1/4))
2.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ 1/64 (* i i)) -1/16) (/ 1/64 (* i i)) 1/64 -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg (+ (* i i) 1/4)) (* i i)) (neg (+ (* i i) 1/4)) (+ (* i i) 1/4))

Time

Variable

Point

Expression

2.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ 1/64 (* i i)) -1/16) (/ 1/64 (* i i)) 1/64 -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg (+ (* i i) 1/4)) (* i i)) (neg (+ (* i i) 1/4)) (+ (* i i) 1/4))

2.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ 1/64 (* i i)) -1/16) (/ 1/64 (* i i)) 1/64 -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg (+ (* i i) 1/4)) (* i i)) (neg (+ (* i i) 1/4)) (+ (* i i) 1/4))

2.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ 1/64 (* i i)) -1/16) (/ 1/64 (* i i)) 1/64 -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg (+ (* i i) 1/4)) (* i i)) (neg (+ (* i i) 1/4)) (+ (* i i) 1/4))

rewrite291.0ms (10.8%)

Memory

-4.6MiB live, 272.1MiB allocated; 119ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	818
0	135	649
1	698	640
0	7883	608

Stop Event

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

Counts

52 → 847

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
#s(literal 1/4 binary64)
(*.f64 i i)
i
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
#s(literal -1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i)))
(.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i))
(neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))
(fma.f64 i i #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 -1))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (* (* 2 i) (* 2 i)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* 2 i) #s(hole binary64 (* 2 i)))
#s(approx (- (/ 1/64 (* i i)) -1/16) #s(hole binary64 (/ 1/64 (pow i 2))))
#s(approx (- (/ 1/64 (* i i)) -1/16) #s(hole binary64 (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))))
#s(approx (neg (+ (* i i) 1/4)) #s(hole binary64 -1/4))
#s(approx (neg (+ (* i i) 1/4)) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (+ (* i i) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* i i) 1/4) #s(hole binary64 (+ 1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#s(approx (* (neg (+ (* i i) 1/4)) (* i i)) #s(hole binary64 (* -1 (pow i 4))))
#s(approx (* (neg (+ (* i i) 1/4)) (* i i)) #s(hole binary64 (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (neg (+ (* i i) 1/4)) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (neg (+ (* i i) 1/4)) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (+ (* i i) 1/4) #s(hole binary64 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))))

Outputs
(.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 i i) i) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))
(.f64 (neg.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64))))
(.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(pow.f64 (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (.f64 (*.f64 #s(literal 4 binary64) i) i))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
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#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal -1/64 binary64) (.f64 i i))) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal -1/64 binary64) (.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (*.f64 i i) i)))) #s(literal -1/16 binary64)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
#s(approx (* (neg (+ (* i i) 1/4)) (* i i)) (.f64 (.f64 (*.f64 i i) i) (neg.f64 i)))
#s(approx (* (neg (+ (* i i) 1/4)) (* i i)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (neg (+ (* i i) 1/4)) (*.f64 (neg.f64 i) i))
#s(approx (neg (+ (* i i) 1/4)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (+ (* i i) 1/4) (fma.f64 i i #s(literal 1/4 binary64)))

eval100.0ms (3.7%)

Memory: 33.6MiB live, 172.1MiB allocated; 31ms collecting garbage
Compiler: Compiled 8 103 to 3 051 computations (62.3% saved)

prune19.0ms (0.7%)

Memory

-10.7MiB live, 36.5MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	959	4	963
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	963	7	970

Accuracy

100.0%

Counts

970 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
▶	76.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))))
✓	46.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
▶	54.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
▶	54.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
✓	53.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	46.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 137 to 107 computations (21.9% saved)

series7.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

19 → 31

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))))
#s(literal 1 binary64)
(/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64))
(fma.f64 i i #s(literal -1/4 binary64))
#s(literal 4 binary64)
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (- -1/4 (* i i)) #s(hole binary64 -1/4))
#s(approx (- -1/4 (* i i)) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (/ -4 (pow i 2))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (/ (- (* 16 (pow i 2)) 4) (pow i 2))))
#s(approx (* (+ (* i i) -1/4) 4) #s(hole binary64 -1))
#s(approx (* (+ (* i i) -1/4) 4) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (+ (* i i) -1/4) #s(hole binary64 (- (pow i 2) 1/4)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (* (- -1/4 (* i i)) i) i) #s(hole binary64 (* -1 (pow i 4))))
#s(approx (* (* (- -1/4 (* i i)) i) i) #s(hole binary64 (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* -1 (pow i 3))))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (- -1/4 (* i i)) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (- -1/4 (* i i)) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 16))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (- 16 (* 4 (/ 1 (pow i 2))))))
#s(approx (* (+ (* i i) -1/4) 4) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* (+ (* i i) -1/4) 4) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#s(approx (+ (* i i) -1/4) #s(hole binary64 (* (pow i 2) (- 1 (* 1/4 (/ 1 (pow i 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) -1/4 (* i i) i (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- -1/4 (* i i)) (* i i)) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (* (+ (* i i) -1/4) 4) (+ (* i i) -1/4) 4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (+ (* i i) -1/4) 4)))
2.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) -1/4 (* i i) i (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- -1/4 (* i i)) (* i i)) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (* (+ (* i i) -1/4) 4) (+ (* i i) -1/4) 4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (+ (* i i) -1/4) 4)))
2.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) -1/4 (* i i) i (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- -1/4 (* i i)) (* i i)) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (* (+ (* i i) -1/4) 4) (+ (* i i) -1/4) 4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (+ (* i i) -1/4) 4)))

Time

Variable

Point

Expression

3.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) -1/4 (* i i) i (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- -1/4 (* i i)) (* i i)) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (* (+ (* i i) -1/4) 4) (+ (* i i) -1/4) 4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (+ (* i i) -1/4) 4)))

2.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) -1/4 (* i i) i (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- -1/4 (* i i)) (* i i)) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (* (+ (* i i) -1/4) 4) (+ (* i i) -1/4) 4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (+ (* i i) -1/4) 4)))

2.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) -1/4 (* i i) i (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- -1/4 (* i i)) (* i i)) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (* (+ (* i i) -1/4) 4) (+ (* i i) -1/4) 4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (+ (* i i) -1/4) 4)))

rewrite215.0ms (8%)

Memory

4.4MiB live, 147.7MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	927
0	153	737
1	768	714
0	8431	702

Stop Event

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

Counts

50 → 917

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))))
#s(literal 1 binary64)
(/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64))
(fma.f64 i i #s(literal -1/4 binary64))
#s(literal 4 binary64)
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (- -1/4 (* i i)) #s(hole binary64 -1/4))
#s(approx (- -1/4 (* i i)) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (/ -4 (pow i 2))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (/ (- (* 16 (pow i 2)) 4) (pow i 2))))
#s(approx (* (+ (* i i) -1/4) 4) #s(hole binary64 -1))
#s(approx (* (+ (* i i) -1/4) 4) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (+ (* i i) -1/4) #s(hole binary64 (- (pow i 2) 1/4)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (* (- -1/4 (* i i)) i) i) #s(hole binary64 (* -1 (pow i 4))))
#s(approx (* (* (- -1/4 (* i i)) i) i) #s(hole binary64 (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* -1 (pow i 3))))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (- -1/4 (* i i)) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (- -1/4 (* i i)) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 16))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (- 16 (* 4 (/ 1 (pow i 2))))))
#s(approx (* (+ (* i i) -1/4) 4) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* (+ (* i i) -1/4) 4) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#s(approx (+ (* i i) -1/4) #s(hole binary64 (* (pow i 2) (- 1 (* 1/4 (/ 1 (pow i 2)))))))

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) #s(literal -1 binary64))) (.f64 (.f64 (.f64 i i) i) i))
(.f64 (.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1/4 binary64))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) #s(literal -1 binary64))) (.f64 (.f64 (*.f64 i i) i) i))
(.f64 (.f64 (neg.f64 i) (.f64 (.f64 i i) i)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
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(/.f64 (.f64 #s(literal 2 binary64) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) #s(literal 4 binary64))
(/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -4 binary64)))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -4 binary64)) #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -4 binary64))))
(neg.f64 (/.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) #s(literal -4 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) (.f64 i i) #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (*.f64 i i) #s(literal -1 binary64)) i) i #s(literal -1/4 binary64)) i) i))
#s(approx (* (- -1/4 (* i i)) i) (*.f64 #s(literal -1/4 binary64) i))
#s(approx (* (- -1/4 (* i i)) i) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i))
#s(approx (- -1/4 (* i i)) #s(literal -1/4 binary64))
#s(approx (- -1/4 (* i i)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
#s(approx (* (+ (* i i) -1/4) 4) #s(literal -1 binary64))
#s(approx (* (+ (* i i) -1/4) 4) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* i i) -1/4) (fma.f64 i i #s(literal -1/4 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 (/.f64 #s(literal -1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal -1/64 binary64) (.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (.f64 (.f64 (.f64 (.f64 i i) i) i) (*.f64 i i)))) #s(literal -1/16 binary64)))
#s(approx (* (* (- -1/4 (* i i)) i) i) (.f64 (neg.f64 i) (.f64 (*.f64 i i) i)))
#s(approx (* (* (- -1/4 (* i i)) i) i) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (* (- -1/4 (* i i)) i) (.f64 (neg.f64 i) (.f64 i i)))
#s(approx (* (- -1/4 (* i i)) i) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i))
#s(approx (- -1/4 (* i i)) (*.f64 (neg.f64 i) i))
#s(approx (- -1/4 (* i i)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(literal 16 binary64))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
#s(approx (* (+ (* i i) -1/4) 4) (.f64 (.f64 #s(literal 4 binary64) i) i))
#s(approx (* (+ (* i i) -1/4) 4) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* i i) -1/4) (fma.f64 i i #s(literal -1/4 binary64)))

eval157.0ms (5.8%)

Memory: -30.5MiB live, 201.4MiB allocated; 47ms collecting garbage
Compiler: Compiled 12 022 to 3 550 computations (70.5% saved)

prune23.0ms (0.9%)

Memory

12.1MiB live, 57.8MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 264	3	1 267
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	1 266	8	1 274

Accuracy

100.0%

Counts

1 274 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
▶	99.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
▶	76.9%	(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))
✓	46.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
✓	54.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
✓	54.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
✓	53.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	46.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 160 to 126 computations (21.3% saved)

series6.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

20 → 27

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64)))
#s(literal 1/4 binary64)
(fma.f64 i i #s(literal -1/4 binary64))
i
#s(literal -1/4 binary64)
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(*.f64 i i)
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
#s(literal 1 binary64)
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
#s(literal -4 binary64)

Outputs
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 -1))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (- (* -4 (pow i 2)) 1)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1)))
#s(approx (+ (* i i) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* i i) -1/4) #s(hole binary64 (- (pow i 2) 1/4)))
#s(approx i #s(hole binary64 i))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (/ -4 (pow i 2))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (/ (- (* 16 (pow i 2)) 4) (pow i 2))))
#s(approx (/ 4 (* i i)) #s(hole binary64 (/ 4 (pow i 2))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 1/16))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (/ 1/4 (pow i 2))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) (pow i 2))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) (pow i 2))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) (pow i 2))))
#s(approx (+ (* i i) -1/4) #s(hole binary64 (* (pow i 2) (- 1 (* 1/4 (/ 1 (pow i 2)))))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 16))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (- 16 (* 4 (/ 1 (pow i 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	i	@	0	((* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ 1/4 (+ (* i i) -1/4)) 1/4 (+ (* i i) -1/4) i -1/4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) (* i i) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (- 16 (/ 4 (* i i))) 16 (/ 4 (* i i)) 4 (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ -4 (* i i)) -4)
2.0ms	i	@	inf	((* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ 1/4 (+ (* i i) -1/4)) 1/4 (+ (* i i) -1/4) i -1/4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) (* i i) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (- 16 (/ 4 (* i i))) 16 (/ 4 (* i i)) 4 (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ -4 (* i i)) -4)
1.0ms	i	@	-inf	((* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ 1/4 (+ (* i i) -1/4)) 1/4 (+ (* i i) -1/4) i -1/4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) (* i i) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (- 16 (/ 4 (* i i))) 16 (/ 4 (* i i)) 4 (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ -4 (* i i)) -4)

Time

Variable

Point

Expression

2.0ms

((* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ 1/4 (+ (* i i) -1/4)) 1/4 (+ (* i i) -1/4) i -1/4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) (* i i) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (- 16 (/ 4 (* i i))) 16 (/ 4 (* i i)) 4 (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ -4 (* i i)) -4)

2.0ms

inf

((* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ 1/4 (+ (* i i) -1/4)) 1/4 (+ (* i i) -1/4) i -1/4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) (* i i) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (- 16 (/ 4 (* i i))) 16 (/ 4 (* i i)) 4 (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ -4 (* i i)) -4)

1.0ms

-inf

((* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ 1/4 (+ (* i i) -1/4)) 1/4 (+ (* i i) -1/4) i -1/4 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) (* i i) (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (- 16 (/ 4 (* i i))) 16 (/ 4 (* i i)) 4 (/ 1 (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))))) (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/ -4 (* i i)) -4)

rewrite157.0ms (5.8%)

Memory

9.1MiB live, 230.4MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	853
0	142	706
1	860	706
0	8328	686

Stop Event

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

Counts

47 → 265

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64)))
#s(literal 1/4 binary64)
(fma.f64 i i #s(literal -1/4 binary64))
i
#s(literal -1/4 binary64)
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(*.f64 i i)
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
#s(literal 1 binary64)
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(literal 16 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 i i))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
#s(literal -4 binary64)
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 -1))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (- (* -4 (pow i 2)) 1)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1)))
#s(approx (+ (* i i) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* i i) -1/4) #s(hole binary64 (- (pow i 2) 1/4)))
#s(approx i #s(hole binary64 i))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (/ -4 (pow i 2))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (/ (- (* 16 (pow i 2)) 4) (pow i 2))))
#s(approx (/ 4 (* i i)) #s(hole binary64 (/ 4 (pow i 2))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 1/16))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (/ 1/4 (pow i 2))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) (pow i 2))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) (pow i 2))))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(hole binary64 (/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) (pow i 2))))
#s(approx (+ (* i i) -1/4) #s(hole binary64 (* (pow i 2) (- 1 (* 1/4 (/ 1 (pow i 2)))))))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 16))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(hole binary64 (- 16 (* 4 (/ 1 (pow i 2))))))

Outputs
(.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 i i)))
(.f64 (.f64 #s(literal 1/4 binary64) #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i)))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))
(.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(/.f64 (.f64 #s(literal 1/4 binary64) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (.f64 #s(literal 1/4 binary64) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 #s(literal 4 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 i i))))
(.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 i i))))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(pow.f64 (*.f64 #s(literal 4 binary64) (fma.f64 i i #s(literal -1/4 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 i i #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal -1/4 binary64)))))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 i i))))
#s(literal 1/4 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) #s(literal -1/4 binary64))) #s(literal -1/4 binary64))
(.f64 (fma.f64 (.f64 i i) (*.f64 i i) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 1/4 binary64))))
(.f64 (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 i i) i) i (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 i i))) (*.f64 i i))
(.f64 (.f64 i i) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
(/.f64 (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i))) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 (.f64 i i) i) i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 i i) (.f64 i i) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 i i) i) i (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (.f64 i i) (.f64 i i) #s(literal -1/16 binary64)) (fma.f64 i i #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i) #s(literal -1/64 binary64)) (fma.f64 (.f64 (.f64 i i) i) i (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(fma.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (fabs.f64 i) (fabs.f64 i) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 i) (neg.f64 i) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 i i) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) (.f64 i i)))
(fma.f64 i i #s(literal -1/4 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 i i) i) i) (fma.f64 i i #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 1/4 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (fma.f64 (.f64 (.f64 i i) i) i (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 (.f64 i i) i) i (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(-.f64 (*.f64 i i) #s(literal 1/4 binary64))
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i))
(+.f64 (/.f64 (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)) (fma.f64 (.f64 (.f64 i i) i) i (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64))))) (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 i i) i) i (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
(+.f64 (*.f64 i i) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 i i))
i
#s(literal -1/4 binary64)
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (fabs.f64 i) #s(literal 4 binary64)) (/.f64 (fabs.f64 i) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 i) #s(literal 4 binary64)) (/.f64 (neg.f64 i) #s(literal 1 binary64)))
(*.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 i #s(literal 1 binary64)))
(*.f64 (/.f64 (fabs.f64 i) #s(literal 2 binary64)) (/.f64 (fabs.f64 i) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 i) #s(literal 2 binary64)) (/.f64 (neg.f64 i) #s(literal 2 binary64)))
(*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i #s(literal 2 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 i (.f64 i #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(/.f64 (*.f64 (neg.f64 i) i) #s(literal -4 binary64))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(neg.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (.f64 (.f64 (*.f64 i i) i) i))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 i) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))))
(pow.f64 (.f64 #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))))
(exp.f64 (.f64 (log.f64 #s(approx (/ ( (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))) #s(literal -1 binary64)))
#s(literal 1 binary64)
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(literal -4 binary64)
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i)))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (.f64 (fma.f64 (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) (.f64 i i) #s(literal -1/4 binary64)) (.f64 i i)))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (.f64 i i) #s(literal -1 binary64)) (.f64 i i) #s(literal -1/4 binary64)) (*.f64 i i)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) #s(literal -1 binary64))
#s(approx (/ 1/4 (+ (* i i) -1/4)) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (.f64 i i) #s(literal -1 binary64)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal -64 binary64) (.f64 i i) #s(literal -16 binary64)) (.f64 i i) #s(literal -4 binary64)) (*.f64 i i) #s(literal -1 binary64)))
#s(approx (+ (* i i) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* i i) -1/4) (fma.f64 i i #s(literal -1/4 binary64)))
#s(approx i i)
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
#s(approx (* i i) (*.f64 i i))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
#s(approx (/ 4 (* i i)) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(literal 1/16 binary64))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal -1/64 binary64) (.f64 i i))) #s(literal -1/16 binary64)))
#s(approx (* (/ 1/4 (+ (* i i) -1/4)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal -1/64 binary64) (.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (*.f64 i i) i)))) #s(literal -1/16 binary64)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) (/.f64 #s(literal 1/4 binary64) (*.f64 i i)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 i i)) #s(literal -1/4 binary64)) (.f64 i i)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal -1/16 binary64) (.f64 i i))) #s(literal -1/4 binary64)) (*.f64 i i)))
#s(approx (/ 1/4 (+ (* i i) -1/4)) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 i i) i) i)) (/.f64 #s(literal -1/16 binary64) (.f64 i i))) (/.f64 #s(literal -1/256 binary64) (.f64 (.f64 (.f64 i i) i) (.f64 (.f64 i i) i)))) #s(literal -1/4 binary64)) (.f64 i i)))
#s(approx (+ (* i i) -1/4) (fma.f64 i i #s(literal -1/4 binary64)))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) #s(literal 16 binary64))
#s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))

eval107.0ms (4%)

Memory: -2.0MiB live, 58.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 803 to 1 080 computations (61.5% saved)

prune12.0ms (0.4%)

Memory

-12.0MiB live, 32.1MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	277	1	278
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	277	9	286

Accuracy

100.0%

Counts

286 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 (/.f64 #s(literal -4 binary64) i) i)))
✓	52.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
✓	99.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
✓	76.9%	(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))
✓	46.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
✓	54.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
✓	54.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
✓	53.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	46.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 411 to 227 computations (44.8% saved)

regimes10.0ms (0.4%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 (/.f64 #s(literal -4 binary64) i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal -1/4 binary64))) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) (.f64 i i) #s(literal -1/4 binary64)) i) i))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i))) (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))

Calls

2 calls:

4.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.2%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
99.2%	1	`i`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes9.0ms (0.3%)

Memory

-29.6MiB live, 14.4MiB allocated; 6ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 (/.f64 #s(literal -4 binary64) i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))

Calls

2 calls:

6.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

3.0ms

Results

Accuracy	Segments	Branch
80.1%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
98.9%	2	`i`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (* i i) -1/4) 4) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))) (/.f64 (/.f64 #s(literal -4 binary64) i) i)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes1.0ms (0.1%)

Memory

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

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.0%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Calls

2 calls:

1.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
46.3%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
46.3%	1	`i`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch8.0ms (0.3%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.45739277882214346	1.5371740270612184

Samples

4.0ms

80×

valid

Compiler

Compiled 238 to 184 computations (22.7% saved)

Precisions

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

ival-mult!: 1.0ms (44.8% of total)

ival-div!: 1.0ms (44.8% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.45739277882214346	1.5371740270612184

Compiler

Compiled 228 to 174 computations (23.7% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.45739277882214346	1.5371740270612184

Compiler

Compiled 208 to 154 computations (26% saved)

derivations327.0ms (12.1%)

Memory

-14.0MiB live, 244.1MiB allocated; 206ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 98 to 42 computations (57.1% saved)

preprocess39.0ms (1.4%)

Memory: -1.3MiB live, 92.5MiB allocated; 17ms collecting garbage
Remove: (abs i)
Compiler: Compiled 432 to 246 computations (43.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample856.0ms (31.8%)

preprocess69.0ms (2.5%)

series7.0ms (0.3%)

rewrite214.0ms (7.9%)

eval33.0ms (1.2%)

prune12.0ms (0.4%)

series8.0ms (0.3%)

rewrite291.0ms (10.8%)

eval100.0ms (3.7%)

prune19.0ms (0.7%)

series7.0ms (0.3%)

rewrite215.0ms (8%)

eval157.0ms (5.8%)

prune23.0ms (0.9%)

series6.0ms (0.2%)

rewrite157.0ms (5.8%)

eval107.0ms (4%)

prune12.0ms (0.4%)

regimes10.0ms (0.4%)

regimes9.0ms (0.3%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch8.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations327.0ms (12.1%)

preprocess39.0ms (1.4%)

end0.0ms (0%)

Profiling