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

4.4MiB live, 4.4MiB 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)

sample705.0ms (33.5%)

Memory

35.1MiB live, 1 121.6MiB allocated; 243ms collecting garbage

Samples

479.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-mult!: 195.0ms (67.6% of total)

ival-div!: 72.0ms (25% of total)

ival-sub!: 19.0ms (6.6% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain154.0ms (7.3%)

Memory

22.1MiB live, 298.5MiB allocated; 31ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
198	1	(5.686358131118692e-162)	1	(5.874395194760617e-80)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
71	0	-	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	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	0	-	0	-	`(*.f64 i i)`
0	0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	0	-	0	-	`i`
0	0	-	0	-	`#s(literal 2 binary64)`
0	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	71	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	106
↳	`(*.f64 i i)`	overflow	142
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	71
`/.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	71	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	106
↳	`(*.f64 i i)`	overflow	142
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	71
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	71
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	71
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	71
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	61	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	93
↳	`(*.f64 i i)`	underflow	122
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	61
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	35	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	106
↳	`(*.f64 i i)`	overflow	142
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	31	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	93
↳	`(*.f64 i i)`	underflow	122

Confusion

	Predicted +	Predicted -
+	197	1
-	1	57

Precision

0.9949494949494949

Recall

0.9949494949494949

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	197	0	1
-	1	0	57

Precision?

0.9949494949494949

Recall?

0.9949494949494949

Freqs

test

number	freq
0	58
1	127
2	71

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult!: 9.0ms (64.1% of total)

ival-div!: 4.0ms (28.5% of total)

ival-sub!: 1.0ms (7.1% of total)

adjust: 0.0ms (0% of total)

preprocess56.0ms (2.7%)

Memory

-12.0MiB live, 36.3MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	99	58
2	782	39
3	4781	39

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.5%	(/.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

▶

24.5%

(/.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 50 to 20 computations (60% saved)

series7.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB 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)
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)

rewrite182.0ms (8.6%)

Memory

-21.8MiB live, 163.6MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	510
0	94	393
1	390	393
0	3271	371

Stop Event

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

Counts

28 → 241

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 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #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) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #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)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (/.f64 i i) (/.f64 i #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i i) (/.f64 i #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i)) (/.f64 (.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 i i) (/.f64 i #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 i i) (/.f64 i #s(literal 2 binary64))) (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)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(.f64 (.f64 i i) (/.f64 (.f64 i i) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(.f64 (.f64 i i) (/.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) i) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (.f64 i i))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (.f64 i i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 i i)) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.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) #s(literal 4 binary64)) (/.f64 (.f64 (neg.f64 i) i) (.f64 i i)))
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(expm1.f64 (.f64 (log.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))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 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 (fma.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 (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)) (.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) (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)) (fma.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 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))) #s(literal -1/16 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))

eval32.0ms (1.5%)

Memory: 26.7MiB live, 73.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 9 275 to 1 027 computations (88.9% saved)

prune12.0ms (0.6%)

Memory

-20.0MiB live, 24.0MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	352	5	357
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	353	5	358

Accuracy

100.0%

Counts

358 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.3%	(/.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)))
▶	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶	49.9%	#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)))
▶	49.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
▶	51.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 334 to 160 computations (52.1% saved)

series10.0ms (0.5%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

29 → 53

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

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 -1)

rewrite169.0ms (8%)

Memory

-37.3MiB live, 156.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1413
0	198	1229
1	694	1151
0	5155	1053

Stop Event

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

Counts

82 → 551

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

eval87.0ms (4.1%)

Memory: 14.4MiB live, 153.9MiB allocated; 20ms collecting garbage
Compiler: Compiled 31 374 to 2 898 computations (90.8% saved)

prune41.0ms (1.9%)

Memory

-8.6MiB live, 36.9MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	778	2	780
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	781	4	785

Accuracy

100.0%

Counts

785 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.3%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
▶	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
✓	49.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	51.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 121 to 57 computations (52.9% saved)

series4.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

14 → 33

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
(.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
(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))) (fma.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))
#s(literal 1/4 binary64)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 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) #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) #s(hole binary64 (* -1 i)))
#s(approx i #s(hole binary64 i))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#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) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* i i) 4) -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 (* (+ (* (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) (* 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
1.0ms	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) (neg i) i -1/4 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (+ (* (* i i) 4) -1) 4 -1)
1.0ms	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) (neg i) i -1/4 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (+ (* (* i i) 4) -1) 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) (neg i) i -1/4 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (+ (* (* i i) 4) -1) 4 -1)

Time

Variable

Point

Expression

1.0ms

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

1.0ms

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

rewrite183.0ms (8.7%)

Memory

9.7MiB live, 143.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	947
0	125	784
1	517	747
0	4245	710

Stop Event

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

Counts

47 → 231

Calls

Call 1

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

eval32.0ms (1.5%)

Memory: 39.6MiB live, 83.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 11 228 to 953 computations (91.5% saved)

prune10.0ms (0.5%)

Memory

-20.9MiB live, 22.6MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	324	1	325
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	324	5	329

Accuracy

100.0%

Counts

329 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.3%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
▶	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 (neg.f64 i) i) (.f64 i i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))
✓	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
✓	49.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	51.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 160 to 74 computations (53.8% saved)

series4.0ms (0.2%)

Memory

11.0MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

8 → 17

Calls

Call 1

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

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) #s(hole binary64 (* (pow i 2) (- (* -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) #s(hole binary64 (pow i 2)))
#s(approx (* (* i i) -1/4) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) #s(hole binary64 (* -1 (pow i 4))))
#s(approx (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) #s(hole binary64 (* -1 (* (pow i 4) (+ 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)) (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) (* (neg i) i) (neg i) i (* i i) (* (* i i) -1/4) -1/4)
1.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) (* (neg i) i) (neg i) i (* i i) (* (* i i) -1/4) -1/4)
1.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) (* (neg i) i) (neg i) i (* i i) (* (* i i) -1/4) -1/4)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite176.0ms (8.4%)

Memory

-29.9MiB live, 129.4MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	509
0	95	424
1	427	395
0	3767	376

Stop Event

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

Counts

25 → 133

Calls

Call 1

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

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
(.f64 (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i)
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))))
(.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i))
(.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)))
(.f64 (.f64 i i) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)))
(.f64 (.f64 (neg.f64 i) i) (-.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(.f64 i (.f64 i (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 i i)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1/64 binary64)) (.f64 i i)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)) (pow.f64 i #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 i i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1/64 binary64))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)) (pow.f64 i #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (*.f64 #s(literal -1/4 binary64) i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (.f64 i i) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (*.f64 #s(literal -1/4 binary64) i) i)))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) i) i)))))
(fma.f64 (.f64 (.f64 (neg.f64 i) i) (fabs.f64 i)) (fabs.f64 i) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) i (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 (fabs.f64 i) (.f64 (fabs.f64 i) (.f64 (neg.f64 i) i)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 i) (*.f64 i #s(literal 1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 i) (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (.f64 i i) (.f64 (neg.f64 i) i) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) #s(literal 1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 i) i) (.f64 i i) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 i (.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 i (*.f64 (neg.f64 i) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 i (neg.f64 (pow.f64 i #s(literal 3 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))) (/.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))))
(-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(-.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (*.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) i))
(-.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (*.f64 (neg.f64 (neg.f64 i)) (pow.f64 i #s(literal 3 binary64))))
(-.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (pow.f64 i #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))))) (/.f64 (.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) (.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) i) i))))))
(+.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 i))
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) #s(literal -1 binary64)))
(*.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i)))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) #s(literal -1 binary64)))
(*.f64 (neg.f64 i) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 i) i)
(.f64 #s(literal -1 binary64) (.f64 i i))
(.f64 (.f64 i i) #s(literal -1 binary64))
(*.f64 i (neg.f64 i))
(neg.f64 (*.f64 i i))
(*.f64 #s(literal -1 binary64) i)
(*.f64 i #s(literal -1 binary64))
(neg.f64 (*.f64 i #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) i))
(neg.f64 i)
i
(.f64 (.f64 (neg.f64 i) #s(literal -1 binary64)) i)
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 i) i))
(.f64 (.f64 i i) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 i) i) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i i))
(.f64 i (.f64 #s(literal -1 binary64) (neg.f64 i)))
(*.f64 i i)
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 i i))
(fabs.f64 (*.f64 (neg.f64 i) i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 i) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) #s(literal -1/4 binary64)))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) #s(literal -1/4 binary64)))
(.f64 (neg.f64 i) (.f64 i #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(.f64 (.f64 (*.f64 #s(literal -1/4 binary64) 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 i (.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(.f64 i (.f64 #s(literal -1/4 binary64) i))
(neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(neg.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)))
#s(literal -1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.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 (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 (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i))
#s(approx (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
#s(approx (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
#s(approx (* (neg i) i) (*.f64 (neg.f64 i) i))
#s(approx (neg i) (neg.f64 i))
#s(approx i i)
#s(approx (* i i) (*.f64 i i))
#s(approx (* (* i i) -1/4) (.f64 (.f64 #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))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.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 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))) #s(literal -1/16 binary64)))
#s(approx (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
#s(approx (+ (* (* (neg i) i) (* i i)) (* (* i i) -1/4)) (*.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (pow.f64 i #s(literal 4 binary64))))

eval38.0ms (1.8%)

Memory: -2.3MiB live, 39.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 829 to 534 computations (92.2% saved)

prune6.0ms (0.3%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	167	5	172

Accuracy

100.0%

Counts

172 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.3%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (.f64 (neg.f64 i) i) (.f64 i i) (.f64 (.f64 i i) #s(literal -1/4 binary64))))
✓	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
✓	49.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	51.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 454 to 123 computations (72.9% saved)

regimes6.0ms (0.3%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

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

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
76.9%	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)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes14.0ms (0.7%)

Memory

-39.0MiB live, 11.7MiB allocated; 18ms 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 (fma.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 (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 (fma.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:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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 (0.1%)

Memory

6.6MiB live, 6.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
51.5%	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)))`
51.5%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	3233255.399465921	275191841084.9489

Samples

1.0ms

16×

valid

Compiler

Compiled 83 to 43 computations (48.2% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch18.0ms (0.9%)

Memory

-14.1MiB live, 29.4MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0001555198620242508	2674.3903765416003

Samples

11.0ms

144×

valid

Compiler

Compiled 622 to 293 computations (52.9% saved)

Precisions

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

ival-mult!: 2.0ms (52.4% of total)

ival-div!: 1.0ms (26.2% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0001555198620242508	2674.3903765416003

Compiler

Compiled 586 to 284 computations (51.5% saved)

bsearch1.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0001555198620242508	2674.3903765416003

Compiler

Compiled 550 to 266 computations (51.6% saved)

derivations115.0ms (5.5%)

Memory

23.6MiB live, 169.8MiB allocated; 24ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 284 to 38 computations (86.6% saved)

preprocess31.0ms (1.5%)

Memory: -20.9MiB live, 71.8MiB allocated; 8ms collecting garbage
Remove: (abs i)
Compiler: Compiled 1 186 to 290 computations (75.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample705.0ms (33.5%)

explain154.0ms (7.3%)

preprocess56.0ms (2.7%)

series7.0ms (0.3%)

rewrite182.0ms (8.6%)

eval32.0ms (1.5%)

prune12.0ms (0.6%)

series10.0ms (0.5%)

rewrite169.0ms (8%)

eval87.0ms (4.1%)

prune41.0ms (1.9%)

series4.0ms (0.2%)

rewrite183.0ms (8.7%)

eval32.0ms (1.5%)

prune10.0ms (0.5%)

series4.0ms (0.2%)

rewrite176.0ms (8.4%)

eval38.0ms (1.8%)

prune6.0ms (0.3%)

regimes6.0ms (0.3%)

regimes3.0ms (0.1%)

regimes14.0ms (0.7%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch18.0ms (0.9%)

bsearch1.0ms (0.1%)

bsearch1.0ms (0.1%)

derivations115.0ms (5.5%)

preprocess31.0ms (1.5%)

end0.0ms (0%)

Profiling