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

5.8MiB live, 5.8MiB 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)

sample791.0ms (44.4%)

Memory

1.6MiB live, 1 314.9MiB allocated; 311ms collecting garbage

Samples

578.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-mult!: 248.0ms (70.5% of total)

ival-div!: 64.0ms (18.2% of total)

ival-sub!: 38.0ms (10.8% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess62.0ms (3.5%)

Memory

-8.0MiB live, 36.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	58
1	130	51
2	1011	39
3	6531	39

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(/.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

▶

26.4%

(/.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 (0.4%)

Memory

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

Counts

10 → 17

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite134.0ms (7.5%)

Memory

24.0MiB live, 165.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	495
0	93	380
1	435	380
0	4003	355

Stop Event

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

Counts

27 → 268

Calls

Call 1

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

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

eval21.0ms (1.2%)

Memory: -3.0MiB live, 41.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 465 to 915 computations (62.9% saved)

prune9.0ms (0.5%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	256	6	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	6	263

Accuracy

100.0%

Counts

263 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
▶	54.1%	#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)))
	46.1%	#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))
▶	46.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
▶	46.1%	#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)))
▶	54.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 248 to 188 computations (24.2% saved)

series10.0ms (0.6%)

Memory

-29.8MiB live, 14.8MiB allocated; 5ms collecting garbage

Counts

25 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ 1/64 (* i i)) -1/16) (/ 1/64 (* i i)) 1/64 -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg (+ (* i i) 1/4)) (* i i)) (neg (+ (* i i) 1/4)) (+ (* i i) 1/4))
2.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ 1/64 (* i i)) -1/16) (/ 1/64 (* i i)) 1/64 -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg (+ (* i i) 1/4)) (* i i)) (neg (+ (* i i) 1/4)) (+ (* i i) 1/4))
2.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (- (/ 1/64 (* i i)) -1/16) (/ 1/64 (* i i)) 1/64 -1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (neg (+ (* i i) 1/4)) (* i i)) (neg (+ (* i i) 1/4)) (+ (* i i) 1/4))

Time

Variable

Point

Expression

5.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite215.0ms (12.1%)

Memory

-2.7MiB live, 166.9MiB allocated; 122ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	818
0	135	665
1	616	665
0	5459	629

Stop Event

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

Counts

52 → 360

Calls

Call 1

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

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

eval58.0ms (3.3%)

Memory: 1.8MiB live, 46.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 345 to 1 460 computations (56.4% saved)

prune21.0ms (1.2%)

Memory

-28.6MiB live, 18.1MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	443	3	446
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	446	6	452

Accuracy

100.0%

Counts

452 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.7%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
▶	54.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64)))
✓	54.1%	#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)))
▶	46.1%	#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))
✓	46.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	54.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 118 to 91 computations (22.9% saved)

series8.0ms (0.4%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

22 → 30

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64)))
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) i)
#s(literal 1/64 binary64)
(/.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(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 (+ (* (/ 1/64 i) (/ 1 i)) 1/16) #s(hole binary64 (/ 1/64 (pow i 2))))
#s(approx (+ (* (/ 1/64 i) (/ 1 i)) 1/16) #s(hole binary64 (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))))
#s(approx (/ 1/64 i) #s(hole binary64 (/ 1/64 i)))
#s(approx (/ 1 i) #s(hole binary64 (/ 1 i)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (+ (* (* 4 i) i) -1) #s(hole binary64 -1))
#s(approx (+ (* (* 4 i) i) -1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#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 (+ (* (* 4 i) i) -1) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (+ (* (* 4 i) 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)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) -1/4 (* i i) i (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (/ 1/64 i) (/ 1 i)) 1/16) (/ 1/64 i) 1/64 (/ 1 i) 1 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 4 i) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (+ (* (* 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 i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (/ 1/64 i) (/ 1 i)) 1/16) (/ 1/64 i) 1/64 (/ 1 i) 1 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 4 i) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (+ (* (* 4 i) i) -1) (* 4 i) 4 -1)
2.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- -1/4 (* i i)) i) i) (* (- -1/4 (* i i)) i) (- -1/4 (* i i)) -1/4 (* i i) i (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (/ 1/64 i) (/ 1 i)) 1/16) (/ 1/64 i) 1/64 (/ 1 i) 1 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 4 i) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (+ (* (* 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 i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (/ 1/64 i) (/ 1 i)) 1/16) (/ 1/64 i) 1/64 (/ 1 i) 1 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 4 i) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (+ (* (* 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 i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (/ 1/64 i) (/ 1 i)) 1/16) (/ 1/64 i) 1/64 (/ 1 i) 1 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 4 i) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) 1/4) 1/4 (+ (* (* 4 i) i) -1) (* 4 i) 4 -1)

2.0ms

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

rewrite181.0ms (10.1%)

Memory

19.8MiB live, 196.5MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	784
0	143	645
1	651	633
0	6003	605

Stop Event

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

Counts

52 → 328

Calls

Call 1

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

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

eval44.0ms (2.5%)

Memory: -7.8MiB live, 95.0MiB allocated; 19ms collecting garbage
Compiler: Compiled 2 814 to 1 331 computations (52.7% saved)

prune11.0ms (0.6%)

Memory

-20.6MiB live, 25.6MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	346	0	346
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	346	6	352

Accuracy

100.0%

Counts

352 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.7%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
✓	54.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64)))
✓	54.1%	#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)))
✓	46.1%	#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))
✓	46.0%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	54.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 260 to 149 computations (42.7% saved)

regimes7.0ms (0.4%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms 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)) (fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #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 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 i i) #s(literal 1/4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) (.f64 i i) #s(literal -1/4 binary64)) i) i))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

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

Outputs

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

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)))

Results

Accuracy	Segments	Branch
78.4%	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)

regimes3.0ms (0.2%)

Memory

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

Counts

6 → 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)) (fma.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i) #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)))

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
99.1%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB 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)))

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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))

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
54.2%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
54.2%	1	`i`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	86088.64178461993	1235499765067705.0

Samples

1.0ms

16×

valid

Compiler

Compiled 63 to 44 computations (30.2% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch15.0ms (0.8%)

Memory

-21.1MiB live, 25.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.6398600720706947e-6	0.5760664209990128

Samples

6.0ms

144×

valid

Compiler

Compiled 406 to 320 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 2.0ms (54.4% of total)

ival-div!: 1.0ms (27.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.6398600720706947e-6	0.5760664209990128

Compiler

Compiled 388 to 302 computations (22.2% saved)

bsearch1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.6398600720706947e-6	0.5760664209990128

Compiler

Compiled 352 to 266 computations (24.4% saved)

derivations141.0ms (7.9%)

Memory

-16.2MiB live, 120.6MiB allocated; 21ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 96 to 41 computations (57.3% saved)

preprocess33.0ms (1.9%)

Memory: 40.6MiB live, 86.2MiB allocated; 6ms collecting garbage
Remove: (abs i)
Compiler: Compiled 456 to 253 computations (44.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample791.0ms (44.4%)

preprocess62.0ms (3.5%)

series7.0ms (0.4%)

rewrite134.0ms (7.5%)

eval21.0ms (1.2%)

prune9.0ms (0.5%)

series10.0ms (0.6%)

rewrite215.0ms (12.1%)

eval58.0ms (3.3%)

prune21.0ms (1.2%)

series8.0ms (0.4%)

rewrite181.0ms (10.1%)

eval44.0ms (2.5%)

prune11.0ms (0.6%)

regimes7.0ms (0.4%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch15.0ms (0.8%)

bsearch1.0ms (0.1%)

bsearch1.0ms (0.1%)

derivations141.0ms (7.9%)

preprocess33.0ms (1.9%)

end0.0ms (0%)

Profiling