Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory

3.6MiB live, 3.6MiB 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)

sample912.0ms (14.4%)

Memory

85.2MiB live, 1 091.8MiB allocated; 270ms collecting garbage

Samples

645.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 414.0ms

ival-mult: 225.0ms (54.3% of total)

ival-div: 135.0ms (32.6% of total)

ival-sub: 40.0ms (9.7% of total)

exact: 9.0ms (2.2% of total)

adjust: 3.0ms (0.7% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain155.0ms (2.4%)

Memory

-42.0MiB live, 243.0MiB allocated; 52ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
183	-	2	(1.1427876610786403e-80)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
62	-	0	-	`(/.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)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	62	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	102
↳	`(*.f64 i i)`	overflow	124
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
`/.f64`	`(/.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)))`	o/o	62	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	102
↳	`(*.f64 i i)`	overflow	124
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	62
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	62
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	47	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	79
↳	`(*.f64 i i)`	underflow	94
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	47
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	40	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	102
↳	`(*.f64 i i)`	overflow	124
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	79
↳	`(*.f64 i i)`	underflow	94

Confusion

	Predicted +	Predicted -
+	181	2
-	0	73

Precision

1.0

Recall

0.9890710382513661

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	181	0	2
-	0	0	73

Precision?

1.0

Recall?

0.9890710382513661

Freqs

test

number	freq
0	75
1	119
2	62

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 18.0ms (65.6% of total)

ival-div: 6.0ms (21.9% of total)

ival-sub: 3.0ms (10.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess146.0ms (2.3%)

Memory

7.7MiB live, 149.5MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	99	58
2	782	39
3	4781	39
0	10	25
0	17	21
1	56	19
2	400	13
3	3443	13
0	9677	13

Stop Event

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

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)))

Outputs

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

Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.6%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

30.6%

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

Compiler

Compiled 25 to 10 computations (60% saved)

series8.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

10 → 18

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 (* 4 (pow i 2))))
#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)
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	@	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)

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

((/ (/ (* (* 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)

rewrite111.0ms (1.7%)

Memory

20.8MiB live, 110.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	510
0	94	393
1	390	393
0	3271	349

Stop Event

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

Counts

28 → 264

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

Outputs
(.f64 (/.f64 (pow.f64 (ratio-square-sum.f64 i i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i))))
(.f64 (/.f64 (pow.f64 (ratio-square-sum.f64 i i) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(.f64 (ratio-of-squares.f64 (pow.f64 i #s(literal 3/2 binary64)) (.f64 #s(literal -2 binary64) i)) (/.f64 i (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 i) i) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 i (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (ratio-square-sum.f64 i i) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) (/.f64 (ratio-square-sum.f64 i i) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (ratio-square-sum.f64 i (+.f64 i #s(literal 1 binary64))) (/.f64 (ratio-of-squares.f64 i (.f64 #s(literal -2 binary64) i)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (ratio-of-squares.f64 i (.f64 #s(literal -2 binary64) i)) (/.f64 (.f64 i i) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (ratio-square-sum.f64 i i) (/.f64 (ratio-square-sum.f64 i i) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (neg.f64 i) i) (/.f64 (.f64 (neg.f64 i) i) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 i i) (/.f64 (.f64 i i) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 i i) (/.f64 (ratio-of-squares.f64 i (.f64 #s(literal -2 binary64) i)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (/.f64 (pow.f64 (ratio-square-sum.f64 i i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i i) (ratio-square-sum.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (ratio-square-sum.f64 i i) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (.f64 i #s(literal 4 binary64)) (.f64 i (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (ratio-square-sum.f64 i i) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -4 binary64) (.f64 i i)))
(fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 i i) #s(literal 2 binary64)) (.f64 (.f64 i i) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 i i) (.f64 i i)) (-.f64 i i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (+.f64 (.f64 i i) (-.f64 (.f64 i i) (*.f64 i i))))
(/.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 1 binary64) i) (.f64 #s(literal 1 binary64) i))
(+.f64 (.f64 i #s(literal 1 binary64)) (.f64 i #s(literal 1 binary64)))
(+.f64 i i)
#s(literal 2 binary64)
(.f64 (+.f64 (.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(-.f64 (ratio-square-sum.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64)) (ratio-square-sum.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (+.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #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 (-.f64 (.f64 (neg.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 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) 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 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -16 binary64) (.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
#s(approx (* (* i i) (* i i)) (pow.f64 i #s(literal 4 binary64)))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (* (* 2 i) (* 2 i)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
#s(approx (* 2 i) (*.f64 #s(literal 2 binary64) i))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (-.f64 (pow.f64 (*.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(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #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 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64)))) (.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal -6 binary64)))))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i))

eval1.2s (18.4%)

Memory

-44.4MiB live, 1 595.3MiB allocated; 286ms collecting garbage

Samples

654.0ms	13 916×	0	valid
210.0ms	4 004×	0	invalid

Compiler

Compiled 9 182 to 1 054 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

ival-mult: 278.0ms (63.7% of total)

ival-div: 130.0ms (29.8% of total)

ival-true: 11.0ms (2.5% of total)

ival-assert: 7.0ms (1.6% of total)

ival-add: 6.0ms (1.4% of total)

adjust: 4.0ms (0.9% of total)

prune13.0ms (0.2%)

Memory

-50.5MiB live, 22.8MiB allocated; 10ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	366	5	371
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	367	5	372

Accuracy

100.0%

Counts

372 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.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)))
▶	47.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
▶	47.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶	46.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
▶	54.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 336 to 162 computations (51.8% saved)

series11.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

29 → 54

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	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)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* (* (- (* -4 (* i i)) 1) i) i) (* (- (* -4 (* i i)) 1) i) (- (* -4 (* i i)) 1) (* -4 (* i i)) -4)
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))) (* 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)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* (* (- (* -4 (* i i)) 1) i) i) (* (- (* -4 (* i i)) 1) i) (- (* -4 (* i i)) 1) (* -4 (* i i)) -4)
2.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* (* (- (* -4 (* i i)) 1) i) i) (* (- (* -4 (* i i)) 1) i) (- (* -4 (* i i)) 1) (* -4 (* i i)) -4)

Time

Variable

Point

Expression

4.0ms

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

3.0ms

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

2.0ms

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

rewrite156.0ms (2.5%)

Memory

-7.2MiB live, 133.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	1458
0	202	1275
1	702	1203
0	4865	1203

Stop Event

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

Counts

83 → 576

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 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i)
(-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64))
(.f64 #s(literal -4 binary64) (.f64 i i))
#s(literal -4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* 1/4 (* i 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 (* (* i i) -1/4) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#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 (* (neg i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (neg i) #s(hole binary64 (* -1 i)))
#s(approx (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (* (* (- (* -4 (* i i)) 1) i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (* (- (* -4 (* i i)) 1) i) i) #s(hole binary64 (* (pow i 2) (- (* -4 (pow i 2)) 1))))
#s(approx (* (- (* -4 (* i i)) 1) i) #s(hole binary64 (* -1 i)))
#s(approx (* (- (* -4 (* i i)) 1) i) #s(hole binary64 (* i (- (* -4 (pow i 2)) 1))))
#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 i)) #s(hole binary64 (* -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 (* 4 (pow i 2))))
#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 (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) #s(hole binary64 (* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (* (* (- (* -4 (* i i)) 1) i) i) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (* (* (- (* -4 (* i i)) 1) i) i) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (- (* -4 (* i i)) 1) i) #s(hole binary64 (* -4 (pow i 3))))
#s(approx (* (- (* -4 (* i i)) 1) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 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 (* -1 (* (pow i 2) (+ 4 (/ 1 (pow i 2)))))))

Outputs
(.f64 (/.f64 #s(approx ( 1/4 (* i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (/.f64 #s(approx ( 1/4 (* i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1 binary64))) (+.f64 (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 i i))))
(/.f64 (/.f64 #s(approx (* 1/4 (* i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (* 1/4 (* i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i))))) (neg.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64))))
(/.f64 (neg.f64 #s(approx (* 1/4 (* i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i)))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)))
(/.f64 #s(approx (* 1/4 (* i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (* 1/4 (* i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i)))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(approx (* 1/4 (* i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64))))
#s(approx (* 1/4 (* i i)) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(.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 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal 3 binary64))) i)
(.f64 (.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)) i) (pow.f64 i #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -2 binary64)))
(.f64 (.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.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) (.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal 2 binary64) i)) (/.f64 (.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) 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 i i) (.f64 i #s(literal 4 binary64))) (/.f64 (.f64 i i) i))
(*.f64 (ratio-square-sum.f64 (neg.f64 i) (neg.f64 i)) (ratio-square-sum.f64 (neg.f64 i) (neg.f64 i)))
(.f64 (/.f64 (.f64 i i) (.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) i)) (/.f64 i (*.f64 #s(literal -2 binary64) i)))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (ratio-of-squares.f64 (pow.f64 i #s(literal 3/2 binary64)) i) (/.f64 i #s(literal 4 binary64)))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) i)) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (/.f64 i (.f64 i i)))
(.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i))
(.f64 (/.f64 i (.f64 #s(literal -2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)))
(.f64 (/.f64 i (.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(.f64 (/.f64 i (.f64 #s(literal 2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 i #s(literal 4 binary64)) (ratio-of-squares.f64 (pow.f64 i #s(literal 3/2 binary64)) i))
(.f64 (/.f64 i (.f64 i i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 i) i) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 i) i) (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (/.f64 (.f64 i i) #s(literal 2 binary64)) (/.f64 (.f64 i i) (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 i (.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (neg.f64 (ratio-square-sum.f64 i i)) (neg.f64 (ratio-square-sum.f64 i i)))
(*.f64 (fabs.f64 (ratio-square-sum.f64 i i)) (fabs.f64 (ratio-square-sum.f64 i i)))
(.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 (ratio-square-sum.f64 i i) (ratio-square-sum.f64 i i))
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) #s(literal 1/4 binary64)))
(.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (.f64 #s(literal 4 binary64) (*.f64 i i))))
(.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal 4 binary64)))
(.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 i #s(literal -2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))
(.f64 (.f64 (neg.f64 i) i) (/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal 4 binary64) (*.f64 i i))))
(.f64 (.f64 (neg.f64 i) i) (.f64 (.f64 (neg.f64 i) i) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 i (.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(.f64 i (ratio-of-squares.f64 (pow.f64 i #s(literal 3/2 binary64)) (.f64 #s(literal -2 binary64) i)))
(ratio-of-squares.f64 (.f64 (fabs.f64 i) (neg.f64 i)) (.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(ratio-of-squares.f64 (.f64 (fabs.f64 i) (neg.f64 i)) (.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(ratio-of-squares.f64 (.f64 (fabs.f64 i) (neg.f64 i)) (.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(ratio-of-squares.f64 (.f64 (fabs.f64 i) (neg.f64 i)) (neg.f64 (.f64 #s(literal -2 binary64) i)))
(ratio-of-squares.f64 (.f64 (fabs.f64 i) (neg.f64 i)) (neg.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64))))
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#s(approx (* (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (* i i)) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 i i)) (pow.f64 i #s(literal 4 binary64)))) #s(literal 4 binary64)) (pow.f64 i #s(literal 6 binary64))))
#s(approx (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64)))
#s(approx (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (*.f64 (-.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
#s(approx (- (* (* (- (* -4 (* i i)) 1) i) i) 1/4) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 i i)) (pow.f64 i #s(literal 4 binary64)))) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64))))
#s(approx (* (* (- (* -4 (* i i)) 1) i) i) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64)))
#s(approx (* (* (- (* -4 (* i i)) 1) i) i) (*.f64 (-.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
#s(approx (* (- (* -4 (* i i)) 1) i) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64)))
#s(approx (* (- (* -4 (* i i)) 1) i) (neg.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) i)))
#s(approx (- (* -4 (* i i)) 1) (.f64 #s(literal -4 binary64) (.f64 i i)))
#s(approx (- (* -4 (* i i)) 1) (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)))

eval3.2s (50.9%)

Memory

159.8MiB live, 4 294.6MiB allocated; 774ms collecting garbage

Samples

1.9s	34 990×	0	valid
544.0ms	11 090×	0	invalid

Compiler

Compiled 46 664 to 4 073 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 895.0ms (71.2% of total)

ival-div: 292.0ms (23.2% of total)

ival-true: 28.0ms (2.2% of total)

ival-assert: 18.0ms (1.4% of total)

ival-add: 12.0ms (1% of total)

adjust: 12.0ms (1% of total)

prune27.0ms (0.4%)

Memory

22.1MiB live, 69.3MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 140	2	1 142
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 142	5	1 147

Accuracy

100.0%

Counts

1 147 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)))
✓	47.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶	47.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
✓	46.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	54.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 159 to 76 computations (52.2% saved)

series8.0ms (0.1%)

Memory

-36.7MiB live, 11.0MiB allocated; 1ms collecting garbage

Counts

16 → 39

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #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))
(*.f64 i i)
(-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 i i) #s(literal 4 binary64))
#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 (* (* (- (* (neg i) i) 1/4) i) i) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (* (- (* (neg i) i) 1/4) i) i) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (- (* (neg i) i) 1/4) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- (* (neg i) i) 1/4) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#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 (* (neg i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (neg i) #s(hole binary64 (* -1 i)))
#s(approx i #s(hole binary64 i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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))) (- (* (* i i) 4) 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 (* 1/4 (* i i)) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx (- (* (* i i) 4) 1) #s(hole binary64 -1))
#s(approx (- (* (* i i) 4) 1) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#s(approx (* (* i i) 4) #s(hole binary64 (* 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 (* (* (- (* (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) i) #s(hole binary64 (* -1 (pow i 3))))
#s(approx (* (- (* (neg i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 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) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 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))) (- (* (* i i) 4) 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 (- (* (* i i) 4) 1) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (- (* (* i i) 4) 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)) (* (* (- (* (neg i) i) 1/4) i) i) (* (- (* (neg i) i) 1/4) i) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) i 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) (* i i) (- (* (* i i) 4) 1) (* (* i i) 4) 4 1)
3.0ms	i	@	inf	((/ (/ (* (* 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) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) i 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) (* i i) (- (* (* i i) 4) 1) (* (* i i) 4) 4 1)
1.0ms	i	@	0	((/ (/ (* (* 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) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) i 1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) (* i i) (- (* (* i i) 4) 1) (* (* i i) 4) 4 1)

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

1.0ms

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

rewrite125.0ms (2%)

Memory

15.1MiB live, 125.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1077
0	147	902
1	550	902
0	4115	822

Stop Event

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

Counts

55 → 197

Calls

Call 1

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

eval82.0ms (1.3%)

Memory

-12.5MiB live, 126.7MiB allocated; 8ms collecting garbage

Samples

33.0ms	776×	0	valid
11.0ms	248×	0	invalid

Compiler

Compiled 8 442 to 891 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (34.8% of total)

ival-mult: 8.0ms (34.8% of total)

ival-add: 5.0ms (21.8% of total)

ival-true: 1.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

prune8.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	243	5	248

Accuracy

100.0%

Counts

248 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.8%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)))
✓	47.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
✓	47.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
✓	46.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	54.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 417 to 124 computations (70.3% saved)

regimes9.0ms (0.1%)

Memory

-40.4MiB live, 10.3MiB allocated; 5ms 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 (-.f64 (*.f64 (neg.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 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
(/.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)))
(/.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 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 i 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(literal 1/16 binary64))

Outputs

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

Calls

2 calls:

5.0ms

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

3.0ms

Results

Accuracy	Segments	Branch
82.2%	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 26 to 11 computations (57.7% saved)

regimes2.0ms (0%)

Memory

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

Counts

4 → 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 (-.f64 (*.f64 (neg.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 (.f64 (neg.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 (neg.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)) #s(literal 1/16 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

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

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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
54.1%	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)))`
54.1%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	46110209.242921844	30052053903.582985

Samples

1.0ms

16×

valid

Compiler

Compiled 84 to 44 computations (47.6% saved)

Precisions

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

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

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

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.00645589843062687	80.04321406667307

Samples

8.0ms

128×

valid

Compiler

Compiled 532 to 262 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (55.7% of total)

ival-sub: 1.0ms (18.6% of total)

ival-div: 1.0ms (18.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00645589843062687	80.04321406667307

Compiler

Compiled 532 to 262 computations (50.8% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00645589843062687	80.04321406667307

Compiler

Compiled 492 to 238 computations (51.6% saved)

simplify46.0ms (0.7%)

Memory

-36.3MiB live, 56.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	283
1	85	265
2	447	211
3	3552	195

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 i 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(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.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)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (.f64 (neg.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)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 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)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 i 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(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.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)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (+.f64 (.f64 i i) #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (.f64 (neg.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)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 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)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

derivations67.0ms (1.1%)

Memory

22.4MiB live, 68.8MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 283 to 41 computations (85.5% saved)

preprocess28.0ms (0.4%)

Memory: -7.0MiB live, 41.3MiB allocated; 7ms collecting garbage
Remove: (abs i)
Compiler: Compiled 736 to 150 computations (79.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0%)

sample912.0ms (14.4%)

explain155.0ms (2.4%)

preprocess146.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.1%)

rewrite111.0ms (1.7%)

eval1.2s (18.4%)

prune13.0ms (0.2%)

series11.0ms (0.2%)

rewrite156.0ms (2.5%)

eval3.2s (50.9%)

prune27.0ms (0.4%)

series8.0ms (0.1%)

rewrite125.0ms (2%)

eval82.0ms (1.3%)

prune8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch2.0ms (0%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify46.0ms (0.7%)

derivations67.0ms (1.1%)

preprocess28.0ms (0.4%)

end0.0ms (0%)

Profiling