Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB 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)

sample864.0ms (33.2%)

Memory

31.0MiB live, 922.7MiB allocated; 287ms collecting garbage

Samples

535.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-mult!: 220.0ms (71.6% of total)

ival-div!: 67.0ms (21.8% of total)

ival-sub!: 18.0ms (5.9% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess106.0ms (4.1%)

Memory

-21.9MiB live, 73.9MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	58
1	130	51
2	1012	39
3	6581	39

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.6%	(/.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

▶

25.6%

(/.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

11.3MiB live, 11.3MiB 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
3.0ms	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

3.0ms

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)

rewrite248.0ms (9.5%)

Memory

16.6MiB live, 203.8MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	495
0	93	406
1	442	380
2	3855	336
0	8291	311
1	27654	311

Stop Event

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

Counts

27 → 309

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

eval37.0ms (1.4%)

Memory: 2.2MiB live, 46.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 537 to 1 067 computations (57.9% saved)

prune9.0ms (0.3%)

Memory

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

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	297	6	303
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	298	6	304

Accuracy

100.0%

Counts

304 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.2%	(/.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)))
▶	69.5%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
▶	54.2%	#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)))
▶	46.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
▶	46.6%	#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)))
▶	54.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 198 to 154 computations (22.2% saved)

series66.0ms (2.5%)

Memory

-33.0MiB live, 13.2MiB allocated; 4ms collecting garbage

Counts

21 → 25

Calls

Call 1

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

Outputs
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i 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) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (+ (* -4 (* i i)) 1) #s(hole binary64 1))
#s(approx (+ (* -4 (* i i)) 1) #s(hole binary64 (+ 1 (* -4 (pow i 2)))))
#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) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i 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 (+ (* -4 (* i i)) 1) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (+ (* -4 (* i i)) 1) #s(hole binary64 (* (pow i 2) (- (/ 1 (pow i 2)) 4))))
#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
62.0ms	i	@	inf	((/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) (* (* i i) -1/4) (* i i) i -1/4 (+ (* -4 (* i i)) 1) -4 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) (* 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) 1/4)
2.0ms	i	@	0	((/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) (* (* i i) -1/4) (* i i) i -1/4 (+ (* -4 (* i i)) 1) -4 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) (* 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) 1/4)
2.0ms	i	@	-inf	((/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) (* (* i i) -1/4) (* i i) i -1/4 (+ (* -4 (* i i)) 1) -4 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) (* 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) 1/4)

Time

Variable

Point

Expression

62.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

rewrite182.0ms (7%)

Memory

30.9MiB live, 172.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	618
0	127	568
1	648	556
0	5530	538
1	19353	538

Stop Event

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

Counts

46 → 229

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(*.f64 i i)
i
#s(literal -1/4 binary64)
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
#s(literal -4 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)))
#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(literal 1/4 binary64)
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i 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) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (+ (* -4 (* i i)) 1) #s(hole binary64 1))
#s(approx (+ (* -4 (* i i)) 1) #s(hole binary64 (+ 1 (* -4 (pow i 2)))))
#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) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i 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 (+ (* -4 (* i i)) 1) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (+ (* -4 (* i i)) 1) #s(hole binary64 (* (pow i 2) (- (/ 1 (pow i 2)) 4))))
#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(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 i i))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))))
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 #s(literal -1/4 binary64) (.f64 (.f64 i i) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 i i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))))
(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 i (.f64 (.f64 #s(literal -1/4 binary64) i) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 i (/.f64 (.f64 #s(literal -1/4 binary64) i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))))
(/.f64 (/.f64 (.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 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))))
(.f64 (.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) #s(literal -1/4 binary64)))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) #s(literal -1/4 binary64)))
(.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(.f64 #s(literal -1 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 #s(literal -1/4 binary64) i) i) #s(literal 1 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
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#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
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#s(approx (/ (* (* i i) -1/4) (+ (* -4 (* i i)) 1)) (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 (.f64 i i) i) i)) (-.f64 (-.f64 (/.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))))
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eval29.0ms (1.1%)

Memory: 5.9MiB live, 50.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 080 to 929 computations (55.3% saved)

prune32.0ms (1.2%)

Memory

-30.9MiB live, 14.8MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	321	2	323
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	324	5	329

Accuracy

100.0%

Counts

329 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(.f64 i (/.f64 (.f64 #s(literal -1/4 binary64) i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))))
✓	54.2%	#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)))
▶	46.6%	#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))
✓	46.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	54.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 87 to 67 computations (23% saved)

series7.0ms (0.3%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

14 → 33

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

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 (/ (* -1/4 i) (+ (* (* -4 i) i) 1))) (/ (* -1/4 i) (+ (* (* -4 i) i) 1)) (* -1/4 i) (+ (* (* -4 i) i) 1) (* -4 i) -4 1)
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 (/ (* -1/4 i) (+ (* (* -4 i) i) 1))) (/ (* -1/4 i) (+ (* (* -4 i) i) 1)) (* -1/4 i) (+ (* (* -4 i) i) 1) (* -4 i) -4 1)
1.0ms	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 (/ (* -1/4 i) (+ (* (* -4 i) i) 1))) (/ (* -1/4 i) (+ (* (* -4 i) i) 1)) (* -1/4 i) (+ (* (* -4 i) i) 1) (* -4 i) -4 1)

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

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

1.0ms

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

rewrite399.0ms (15.3%)

Memory

-38.8MiB live, 200.8MiB allocated; 172ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	864
0	151	763
1	757	732
0	6598	702
1	23201	702

Stop Event

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

Counts

47 → 194

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

eval27.0ms (1.1%)

Memory: -10.1MiB live, 46.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 280 to 717 computations (44% saved)

prune5.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	177	5	182

Accuracy

100.0%

Counts

182 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(.f64 (.f64 (/.f64 i (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))) #s(literal -1/4 binary64)) i)
✓	54.2%	#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)))
✓	46.6%	#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))
✓	46.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	54.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 87 to 67 computations (23% saved)

series3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

9 → 33

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite209.0ms (8%)

Memory

-14.5MiB live, 210.8MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	818
0	161	766
1	954	759
0	8583	714
1	29364	714

Stop Event

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

Counts

42 → 90

Calls

Call 1

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

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

eval8.0ms (0.3%)

Memory: 22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 658 to 334 computations (49.2% saved)

prune5.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	79	5	84

Accuracy

100.0%

Counts

84 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.4%	(.f64 (.f64 (/.f64 i (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))) #s(literal -1/4 binary64)) i)
✓	54.2%	#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)))
✓	46.6%	#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))
✓	46.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	54.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 205 to 125 computations (39% saved)

regimes9.0ms (0.3%)

Memory

-22.6MiB live, 22.5MiB allocated; 4ms collecting garbage

Counts

10 → 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)))
#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 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i)))
(.f64 (.f64 (/.f64 i (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))) #s(literal -1/4 binary64)) i)
(.f64 i (/.f64 (.f64 #s(literal -1/4 binary64) i) (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.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 (/.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 (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal 1 binary64))) #s(literal -1/4 binary64)) i)

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

Calls

2 calls:

5.0ms

2.0ms

(/.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
79.6%	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)))`
100.0%	2	`i`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB 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)))
#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 (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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

3 → 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)))

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:

1.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes1.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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
99.5%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.2%)

Memory

-36.6MiB live, 8.9MiB allocated; 5ms 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:

3.0ms

(/.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)))

1.0ms

Results

Accuracy	Segments	Branch
54.6%	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)))`
54.6%	1	`i`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch3.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1301.3397289412824	9973086383.658657

Samples

1.0ms

32×

valid

Compiler

Compiled 80 to 60 computations (25% saved)

Precisions

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

ival-mult!: 1.0ms (120.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch12.0ms (0.5%)

Memory

28.5MiB live, 28.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.03974652072270207	1301.3397289412824

Samples

5.0ms

128×

valid

Compiler

Compiled 364 to 286 computations (21.4% saved)

Precisions

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

ival-mult!: 2.0ms (61.8% of total)

ival-div!: 1.0ms (30.9% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.03974652072270207	1301.3397289412824

Compiler

Compiled 348 to 270 computations (22.4% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.03974652072270207	1301.3397289412824

Compiler

Compiled 316 to 238 computations (24.7% saved)

derivations273.0ms (10.5%)

Memory

-11.2MiB live, 137.9MiB allocated; 23ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 87 to 40 computations (54% saved)

preprocess50.0ms (1.9%)

Memory: -28.1MiB live, 75.6MiB allocated; 43ms collecting garbage
Remove: (abs i)
Compiler: Compiled 431 to 250 computations (42% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample864.0ms (33.2%)

preprocess106.0ms (4.1%)

series7.0ms (0.3%)

rewrite248.0ms (9.5%)

eval37.0ms (1.4%)

prune9.0ms (0.3%)

series66.0ms (2.5%)

rewrite182.0ms (7%)

eval29.0ms (1.1%)

prune32.0ms (1.2%)

series7.0ms (0.3%)

rewrite399.0ms (15.3%)

eval27.0ms (1.1%)

prune5.0ms (0.2%)

series3.0ms (0.1%)

rewrite209.0ms (8%)

eval8.0ms (0.3%)

prune5.0ms (0.2%)

regimes9.0ms (0.3%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

regimes5.0ms (0.2%)

bsearch3.0ms (0.1%)

bsearch12.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations273.0ms (10.5%)

preprocess50.0ms (1.9%)

end0.0ms (0%)

Profiling