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

2.4MiB live, 2.4MiB 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)

sample671.0ms (33.2%)

Memory

41.4MiB live, 824.5MiB allocated; 203ms collecting garbage

Samples

470.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult!: 158.0ms (65.1% of total)

ival-div!: 63.0ms (26% of total)

ival-sub!: 19.0ms (7.8% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess81.0ms (4%)

Memory

-25.8MiB live, 69.3MiB allocated; 40ms 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
▶	26.5%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

26.5%

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

Symmetry

(abs i)

Compiler

Compiled 36 to 20 computations (44.4% saved)

series7.0ms (0.4%)

Memory

15.3MiB live, 15.3MiB 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)

rewrite255.0ms (12.6%)

Memory

11.6MiB live, 199.7MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	495
0	93	406
1	442	380
2	3824	336
0	8327	311
1	26106	311

Stop Event

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

Counts

27 → 323

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

eval52.0ms (2.6%)

Memory: 17.4MiB live, 62.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 622 to 1 107 computations (57.8% saved)

prune10.0ms (0.5%)

Memory

-26.3MiB live, 20.3MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	312	5	317
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	313	5	318

Accuracy

100.0%

Counts

318 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.0%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
▶	49.0%	#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)))
▶	51.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
▶	51.6%	#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)))
▶	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 174 to 132 computations (24.1% saved)

series6.0ms (0.3%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms 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
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)
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

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)

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)

rewrite257.0ms (12.7%)

Memory

-42.8MiB live, 144.0MiB allocated; 135ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	618
0	127	568
1	648	556
0	5488	538
1	19071	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)))
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eval30.0ms (1.5%)

Memory: 5.0MiB live, 50.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 080 to 929 computations (55.3% saved)

prune10.0ms (0.5%)

Memory

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

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	321	2	323
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	322	6	328

Accuracy

100.0%

Counts

328 → 6

Alt Table

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Status	Accuracy	Program
✓	75.0%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
✓	49.0%	#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)))
▶	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
▶	51.6%	#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))
✓	51.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 108 to 81 computations (25% saved)

series4.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

9 → 20

Calls

Call 1

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

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- -1/4 (* i i)) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (- -1/4 (* i i)) #s(hole binary64 -1/4))
#s(approx (- -1/4 (* i i)) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (/ (/ (* (* i i) (* 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))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite180.0ms (8.9%)

Memory

-19.9MiB live, 122.6MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	583
0	105	499
1	506	477
0	4470	454
1	15847	454

Stop Event

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

Counts

29 → 157

Calls

Call 1

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

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

eval16.0ms (0.8%)

Memory: 24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 335 to 597 computations (55.3% saved)

prune66.0ms (3.3%)

Memory

-33.2MiB live, 12.2MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	169	6	175

Accuracy

100.0%

Counts

175 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.0%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
✓	49.0%	#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)))
✓	51.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
✓	51.6%	#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))
✓	51.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	49.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 210 to 124 computations (41% saved)

regimes6.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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
78.1%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
100.0%	2	`i`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB 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)) (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (.f64 i i)))

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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:

1.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes1.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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
98.6%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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
49.1%	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)))`
49.1%	1	`i`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch3.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	37748.082010927275	956161654.5911231

Samples

1.0ms

32×

valid

Compiler

Compiled 80 to 58 computations (27.5% saved)

Precisions

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

ival-mult!: 1.0ms (120.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch77.0ms (3.8%)

Memory

-33.2MiB live, 11.7MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
76.0ms	0.3852657997744079	5.615705206072989

Samples

72.0ms

96×

valid

Compiler

Compiled 280 to 218 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult!: 69.0ms (98.2% of total)

ival-div!: 1.0ms (1.4% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3852657997744079	5.615705206072989

Compiler

Compiled 268 to 206 computations (23.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3852657997744079	5.615705206072989

Compiler

Compiled 244 to 182 computations (25.4% saved)

derivations167.0ms (8.3%)

Memory

-1.8MiB live, 183.1MiB allocated; 24ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 87 to 37 computations (57.5% saved)

preprocess109.0ms (5.4%)

Memory: 11.7MiB live, 70.6MiB allocated; 10ms collecting garbage
Remove: (abs i)
Compiler: Compiled 431 to 245 computations (43.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample671.0ms (33.2%)

preprocess81.0ms (4%)

series7.0ms (0.4%)

rewrite255.0ms (12.6%)

eval52.0ms (2.6%)

prune10.0ms (0.5%)

series6.0ms (0.3%)

rewrite257.0ms (12.7%)

eval30.0ms (1.5%)

prune10.0ms (0.5%)

series4.0ms (0.2%)

rewrite180.0ms (8.9%)

eval16.0ms (0.8%)

prune66.0ms (3.3%)

regimes6.0ms (0.3%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch3.0ms (0.2%)

bsearch77.0ms (3.8%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations167.0ms (8.3%)

preprocess109.0ms (5.4%)

end0.0ms (0%)

Profiling