Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB 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)

sample1.1s (38.8%)

Memory

138.5MiB live, 1 191.2MiB allocated; 424ms collecting garbage

Samples

849.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 510.0ms

ival-mult!: 263.0ms (51.6% of total)

ival-div!: 152.0ms (29.8% of total)

ival-sub!: 93.0ms (18.2% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

explain273.0ms (9.8%)

Memory

-11.0MiB live, 242.4MiB allocated; 229ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
180	-	3	(6.250018225853882e-79)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
62	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	62	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	92
↳	`(*.f64 i i)`	overflow	124
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	o/o	62	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	92
↳	`(*.f64 i i)`	overflow	124
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	62
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	62
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	62
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	54	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	85
↳	`(*.f64 i i)`	underflow	108
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	54
`/.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	85
↳	`(*.f64 i i)`	underflow	108
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	30	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	92
↳	`(*.f64 i i)`	overflow	124

Confusion

	Predicted +	Predicted -
+	177	3
-	0	76

Precision

1.0

Recall

0.9833333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	177	0	3
-	0	0	76

Precision?

1.0

Recall?

0.9833333333333333

Freqs

test

number	freq
0	79
1	115
2	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

176.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-div!: 149.0ms (93.4% of total)

ival-mult!: 9.0ms (5.6% of total)

ival-sub!: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

preprocess36.0ms (1.3%)

Memory

-37.3MiB live, 16.5MiB allocated; 15ms 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
▶	32.1%	(/.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)))

Status

Accuracy

Program

▶

32.1%

(/.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)))

Symmetry

(abs i)

Compiler

Compiled 50 to 20 computations (60% saved)

series7.0ms (0.3%)

Memory

14.2MiB live, 14.2MiB 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)

rewrite123.0ms (4.4%)

Memory

32.1MiB live, 121.3MiB allocated; 15ms 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)))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 i i)) (/.f64 (.f64 (neg.f64 i) i) #s(literal 4 binary64)))
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(-.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))

eval60.0ms (2.2%)

Memory: -11.5MiB live, 85.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 9 275 to 1 027 computations (88.9% saved)

prune11.0ms (0.4%)

Memory

-20.3MiB live, 26.5MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	350	7	357
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	351	7	358

Accuracy

100.0%

Counts

358 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
▶	76.4%	(.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))))
	75.7%	(.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))))
▶	50.6%	#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)))
▶	50.4%	#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)))
▶	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
▶	49.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 420 to 214 computations (49% saved)

series13.0ms (0.5%)

Memory

34.7MiB live, 34.6MiB allocated; 0ms collecting garbage

Counts

33 → 87

Calls

Call 1

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

Outputs
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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) (+ (* 2 i) 1)) #s(hole binary64 (pow i 2)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 -1/4))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(hole binary64 1/4))
#s(approx (/ i (* i 4)) #s(hole binary64 1/4))
#s(approx (* i 4) #s(hole binary64 (* 4 i)))
#s(approx (/ i i) #s(hole binary64 1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (- (* 2 i) 1)))
#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) -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) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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 (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* 1/2 i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* i (+ 2 (/ 1 i)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ 1/8 i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 i))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* i (- 2 (/ 1 i)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (- (* (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)))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	i	@	inf	((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) i (+ (* 2 i) 1) 2 1 (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (* (/ i (* i 4)) (/ i i)) (/ i (* i 4)) (* i 4) 4 (/ i i) (+ (* 2 i) -1) -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) 1/4 (/ (/ (* (* 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)
3.0ms	i	@	-inf	((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) i (+ (* 2 i) 1) 2 1 (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (* (/ i (* i 4)) (/ i i)) (/ i (* i 4)) (* i 4) 4 (/ i i) (+ (* 2 i) -1) -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) 1/4 (/ (/ (* (* 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)
3.0ms	i	@	0	((* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (* i i) i (+ (* 2 i) 1) 2 1 (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (* (/ i (* i 4)) (/ i i)) (/ i (* i 4)) (* i 4) 4 (/ i i) (+ (* 2 i) -1) -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) 1/4 (/ (/ (* (* 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)

Time

Variable

Point

Expression

5.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

rewrite213.0ms (7.7%)

Memory

-29.6MiB live, 251.0MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	2217
0	348	1836
1	1475	1808
0	8036	1786

Stop Event

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

Counts

120 → 241

Calls

Call 1

Inputs
(.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 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#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 i (.f64 i #s(literal 4 binary64))) (/.f64 i i))
(/.f64 i (*.f64 i #s(literal 4 binary64)))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 i i)
(fma.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(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(literal 1/4 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 (-.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(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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) (+ (* 2 i) 1)) #s(hole binary64 (pow i 2)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 i))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 -1/4))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(hole binary64 1/4))
#s(approx (/ i (* i 4)) #s(hole binary64 1/4))
#s(approx (* i 4) #s(hole binary64 (* 4 i)))
#s(approx (/ i i) #s(hole binary64 1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (- (* 2 i) 1)))
#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) -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) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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 (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* 1/2 i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* i (+ 2 (/ 1 i)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ 1/8 i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 i))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* i (- 2 (/ 1 i)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (- (* (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)))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))

Outputs
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(.f64 (.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
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(/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -4 binary64) i) i #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))))))
(+.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -4 binary64)))
#s(literal -4 binary64)
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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)) (.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 i i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 4 binary64) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) (*.f64 i i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -8 binary64) i #s(literal 4 binary64)) i) #s(literal 2 binary64)) i #s(literal 1 binary64)) (*.f64 i i)))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (+ (* 2 i) 1) #s(literal 1 binary64))
#s(approx (+ (* 2 i) 1) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(literal -1/4 binary64))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64)))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))
#s(approx (* (/ i (* i 4)) (/ i i)) #s(literal 1/4 binary64))
#s(approx (* i 4) (*.f64 #s(literal 4 binary64) i))
#s(approx (/ i i) #s(literal 1 binary64))
#s(approx (+ (* 2 i) -1) #s(literal -1 binary64))
#s(approx (+ (* 2 i) -1) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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)) (.f64 i i)))
#s(approx (* (* i i) -1/4) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (- (* (neg i) i) 1/4) (* i i)) (.f64 (.f64 (-.f64 (*.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) (-.f64 (*.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 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (.f64 (.f64 (-.f64 (*.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 (-.f64 (.f64 (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) (.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) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)))
#s(approx (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (-.f64 (.f64 (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) (.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 (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 i i)))
#s(approx (* (+ (* -4 (* i i)) -1) i) (neg.f64 i))
#s(approx (* (+ (* -4 (* i i)) -1) i) (.f64 (-.f64 (.f64 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)) i))
#s(approx (+ (* -4 (* i i)) -1) #s(literal -1 binary64))
#s(approx (+ (* -4 (* i i)) -1) (-.f64 (.f64 (.f64 i i) #s(literal -4 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(literal 1/16 binary64))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 #s(literal 1/2 binary64) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) i)) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 i i)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) i)) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 i i)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) i))) i))
#s(approx (+ (* 2 i) 1) (*.f64 #s(literal 2 binary64) i))
#s(approx (+ (* 2 i) 1) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 #s(literal 1/8 binary64) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (/.f64 #s(literal 1/16 binary64) i)) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (fma.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/16 binary64) i))) i))
#s(approx (+ (* 2 i) -1) (*.f64 #s(literal 2 binary64) i))
#s(approx (+ (* 2 i) -1) (*.f64 (-.f64 #s(literal 2 binary64) (pow.f64 i #s(literal -1 binary64))) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (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 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 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 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (- (* (neg i) i) 1/4) (*.f64 (neg.f64 i) i))
#s(approx (- (* (neg i) i) 1/4) (.f64 (.f64 (neg.f64 i) i) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 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 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 i i))) #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 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 i i))) #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 (.f64 i i) #s(literal -4 binary64)))
#s(approx (+ (* -4 (* i i)) -1) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/2 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/4 binary64)) i)) #s(literal 1/2 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i)) #s(literal 1/4 binary64)) i)) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) #s(literal 1/8 binary64)) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/32 binary64) i)) #s(literal 1/16 binary64)) i)) #s(literal 1/8 binary64)) i)))
#s(approx (+ (* 2 i) -1) (*.f64 (neg.f64 i) (-.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64))))

eval43.0ms (1.5%)

Memory: 18.7MiB live, 106.1MiB allocated; 19ms collecting garbage
Compiler: Compiled 13 123 to 1 273 computations (90.3% saved)

prune18.0ms (0.7%)

Memory

7.1MiB live, 50.8MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	353	4	357
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	356	8	364

Accuracy

100.0%

Counts

364 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 (.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
▶	75.7%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
▶	75.8%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
▶	50.3%	(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))))
✓	50.4%	#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)))
▶	50.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i) i))
✓	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	49.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 366 to 211 computations (42.3% saved)

series27.0ms (1%)

Memory

-23.7MiB live, 37.5MiB allocated; 25ms collecting garbage

Counts

37 → 155

Calls

Call 1

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

Outputs
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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 (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* -1/2 i)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- i 1/2))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- (* i (+ 1 (* -2 i))) 1/2))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (pow i 2)))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx i #s(hole binary64 i))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 i))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* -2 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (- (* 2 i) 1)))
#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) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -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 (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* (pow i 2) (- (* -4 (pow i 2)) 1))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -1 i)))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* i (- (* -4 (pow i 2)) 1))))
#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) #s(hole binary64 (pow i 2)))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 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) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 -1))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#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 (- (* (* 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) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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) (+ (* 2 i) 1)) #s(hole binary64 (pow i 2)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 -1/4))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (* (- (neg i) 1/2) i) #s(hole binary64 (* -1/2 i)))
#s(approx (* (- (neg i) 1/2) i) #s(hole binary64 (* i (- (* -1 i) 1/2))))
#s(approx (- (neg i) 1/2) #s(hole binary64 -1/2))
#s(approx (- (neg i) 1/2) #s(hole binary64 (- (* -1 i) 1/2)))
#s(approx (neg i) #s(hole binary64 (* -1 i)))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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 (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* 1/8 i)))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- 1/8 (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* 1/2 i)))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 1/2))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- 1/2 (* 1/4 (/ 1 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3)))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* i (+ 2 (/ 1 i)))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* i (- 2 (/ 1 i)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -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 (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -4 (pow i 5))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* (pow i 5) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (- (* (* (+ (* (* i i) -4) -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 (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -4 (pow i 3))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* (* i i) -4) -1) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (+ (* (* i i) -4) -1) #s(hole binary64 (* -1 (* (pow i 2) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 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) 1) (+ (* 2 i) -1)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#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 (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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 (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* 1/2 i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ 1/8 i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 i))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/2 (/ 1 i)))))))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (* (pow i 2) (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 i))) i)) 1))))
#s(approx (* (- (neg i) 1/2) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (- (neg i) 1/2) i) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/2 (/ 1 i)))))))
#s(approx (- (neg i) 1/2) #s(hole binary64 (* -1 i)))
#s(approx (- (neg i) 1/2) #s(hole binary64 (* -1 (* i (+ 1 (* 1/2 (/ 1 i)))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* 1/16 (/ 1 i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 i)) 1/32) i)) 1/16) i)) 1/8)))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i)))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (+ (/ 1/4 (pow i 4)) (/ 1 (pow i 2))))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))))

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	i	@	-inf	((/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) (* (* i (/ i (+ (* 2 i) 1))) 1/4) (* i (/ i (+ (* 2 i) 1))) i (/ i (+ (* 2 i) 1)) (+ (* 2 i) 1) 2 1 1/4 (+ (* 2 i) -1) -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) (* (* (+ (* (* i i) -4) -1) i) i) (* (+ (* (* i i) -4) -1) i) (+ (* (* i i) -4) -1) (* i i) -4 (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1)) (/ (/ (* (* 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)) (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (- (* (- (neg i) 1/2) i) 1/4) (* (- (neg i) 1/2) i) (- (neg i) 1/2) (neg i) 1/2)
4.0ms	i	@	inf	((/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) (* (* i (/ i (+ (* 2 i) 1))) 1/4) (* i (/ i (+ (* 2 i) 1))) i (/ i (+ (* 2 i) 1)) (+ (* 2 i) 1) 2 1 1/4 (+ (* 2 i) -1) -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) (* (* (+ (* (* i i) -4) -1) i) i) (* (+ (* (* i i) -4) -1) i) (+ (* (* i i) -4) -1) (* i i) -4 (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1)) (/ (/ (* (* 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)) (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (- (* (- (neg i) 1/2) i) 1/4) (* (- (neg i) 1/2) i) (- (neg i) 1/2) (neg i) 1/2)
3.0ms	i	@	0	((/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) (* (* i (/ i (+ (* 2 i) 1))) 1/4) (* i (/ i (+ (* 2 i) 1))) i (/ i (+ (* 2 i) 1)) (+ (* 2 i) 1) 2 1 1/4 (+ (* 2 i) -1) -1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) (* (* (+ (* (* i i) -4) -1) i) i) (* (+ (* (* i i) -4) -1) i) (+ (* (* i i) -4) -1) (* i i) -4 (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1)) (/ (/ (* (* 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)) (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (- (* (- (neg i) 1/2) i) 1/4) (* (- (neg i) 1/2) i) (- (neg i) 1/2) (neg i) 1/2)

Time

Variable

Point

Expression

18.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

rewrite232.0ms (8.3%)

Memory

41.0MiB live, 276.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	467	3812
0	519	3355
1	2088	3327
0	8506	3284

Stop Event

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

Counts

192 → 435

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(.f64 (.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
i
(/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/4 binary64)
(fma.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)) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i) i))
(.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i) i)
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) i)
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64))
(.f64 (.f64 (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i) i)
(.f64 (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) i)
(fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal -4 binary64)
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i 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 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64)))
(-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))
(*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i)
(-.f64 (neg.f64 i) #s(literal 1/2 binary64))
(neg.f64 i)
#s(literal 1/2 binary64)
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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 (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* -1/2 i)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- i 1/2))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* (pow i 2) (+ 1/4 (* i (- (* i (+ 1 (* -2 i))) 1/2))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (pow i 2)))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx i #s(hole binary64 i))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 i))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* -2 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 1))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (+ 1 (* 2 i))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 -1))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (- (* 2 i) 1)))
#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) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -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 (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1/4 i)))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* i (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* (pow i 2) (- (* -4 (pow i 2)) 1))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -1 i)))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* i (- (* -4 (pow i 2)) 1))))
#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) #s(hole binary64 (pow i 2)))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 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) 1/4) #s(hole binary64 (* 1/4 (pow i 2))))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 -1))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 (- (* 4 (pow i 2)) 1)))
#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 (- (* (* 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) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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) (+ (* 2 i) 1)) #s(hole binary64 (pow i 2)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* -2 i)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 -1/4))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (- (* -1/2 i) 1/4)))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (- (* i (- (* -1 i) 1/2)) 1/4)))
#s(approx (* (- (neg i) 1/2) i) #s(hole binary64 (* -1/2 i)))
#s(approx (* (- (neg i) 1/2) i) #s(hole binary64 (* i (- (* -1 i) 1/2))))
#s(approx (- (neg i) 1/2) #s(hole binary64 -1/2))
#s(approx (- (neg i) 1/2) #s(hole binary64 (- (* -1 i) 1/2)))
#s(approx (neg i) #s(hole binary64 (* -1 i)))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 1/16))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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 (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* 1/8 i)))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- 1/8 (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (* 1/16 (/ 1 i))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* 1/2 i)))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 1/2))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- 1/2 (* 1/4 (/ 1 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3)))))))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) 1) #s(hole binary64 (* i (+ 2 (/ 1 i)))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* 2 i)))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* i (- 2 (/ 1 i)))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 1/16))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -4 (pow i 6))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) i) #s(hole binary64 (* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (* (- (* (* (+ (* (* i i) -4) -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 (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -4 (pow i 5))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* (pow i 5) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (- (* (* (+ (* (* i i) -4) -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 (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -4 (pow i 4))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) #s(hole binary64 (* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -4 (pow i 3))))
#s(approx (* (+ (* (* i i) -4) -1) i) #s(hole binary64 (* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (+ (* (* i i) -4) -1) #s(hole binary64 (* -4 (pow i 2))))
#s(approx (+ (* (* i i) -4) -1) #s(hole binary64 (* -1 (* (pow i 2) (+ 4 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (/ (* (* i i) 1/4) (* (+ (* 2 i) 1) (+ (* 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) 1) (+ (* 2 i) -1)) #s(hole binary64 (* 4 (pow i 2))))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) #s(hole binary64 (* (pow i 2) (- 4 (/ 1 (pow i 2))))))
#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 (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 1/16))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (* 1/64 (/ 1 (pow i 2))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1))) #s(hole binary64 (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))))
#s(approx (* (/ (* i i) (+ (* 2 i) 1)) (/ (* (/ i (* i 4)) (/ i 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 (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* 1/2 i)))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- 1/2 (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ 1/8 i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 i))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/2 (/ 1 i)))))))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) #s(hole binary64 (* (pow i 2) (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 i))) i)) 1))))
#s(approx (* (- (neg i) 1/2) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (- (neg i) 1/2) i) #s(hole binary64 (* -1 (* (pow i 2) (+ 1 (* 1/2 (/ 1 i)))))))
#s(approx (- (neg i) 1/2) #s(hole binary64 (* -1 i)))
#s(approx (- (neg i) 1/2) #s(hole binary64 (* -1 (* i (+ 1 (* 1/2 (/ 1 i)))))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* 1/16 (/ 1 i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8)))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 i)) 1/32) i)) 1/16) i)) 1/8)))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (* i (/ i (+ (* 2 i) 1))) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i)))))
#s(approx (/ i (+ (* 2 i) 1)) #s(hole binary64 (+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i)))))
#s(approx (+ (* 2 i) -1) #s(hole binary64 (* -1 (* i (- (/ 1 i) 2)))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 4 (+ (/ 1/4 (pow i 4)) (/ 1 (pow i 2))))))))
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#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) #s(hole binary64 (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))))

Outputs
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (/.f64 (.f64 i #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
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(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
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(/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
i
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(/.f64 (neg.f64 i) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
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#s(approx (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64)))
#s(approx (- (* (* (+ (* (* i i) -4) -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 (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 i i))) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64))))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64)))
#s(approx (* (* (+ (* (* i i) -4) -1) i) i) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 i i))))
#s(approx (* (+ (* (* i i) -4) -1) i) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64)))
#s(approx (* (+ (* (* i i) -4) -1) i) (neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i)))
#s(approx (+ (* (* i i) -4) -1) (.f64 (.f64 i i) #s(literal -4 binary64)))
#s(approx (+ (* (* i i) -4) -1) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(literal 1/16 binary64))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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 (+ (* 2 i) 1))) 1/4) (+ (* 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 (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
#s(approx (* (+ (* 2 i) 1) (+ (* 2 i) -1)) (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) (.f64 i i)))
#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 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) (.f64 i i)))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) #s(literal 1/16 binary64))
#s(approx (/ (* (* i (/ i (+ (* 2 i) 1))) 1/4) (+ (* 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 (+ (* 2 i) 1))) 1/4) (+ (* 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 (+ (* 2 i) 1))) 1/4) (+ (* 2 i) -1)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 #s(literal 1/2 binary64) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) i)) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 i i)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) i)) i))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 i i)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) i))) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 #s(literal 1/8 binary64) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) (/.f64 #s(literal 1/16 binary64) i)) #s(literal 1/8 binary64)) i))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/16 binary64) i))) i))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) (neg.f64 (*.f64 i i)))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) (.f64 (neg.f64 (.f64 i i)) (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))))
#s(approx (- (* (- (neg i) 1/2) i) 1/4) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (.f64 i i)))
#s(approx (* (- (neg i) 1/2) i) (neg.f64 (*.f64 i i)))
#s(approx (* (- (neg i) 1/2) i) (.f64 (neg.f64 (.f64 i i)) (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))))
#s(approx (- (neg i) 1/2) (neg.f64 i))
#s(approx (- (neg i) 1/2) (*.f64 (neg.f64 i) (+.f64 (/.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) #s(literal 1/8 binary64))))
#s(approx (* (* i (/ i (+ (* 2 i) 1))) 1/4) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) i) #s(literal 1/32 binary64)) i)) #s(literal 1/16 binary64)) i)) #s(literal 1/8 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/2 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/4 binary64)) i)) #s(literal 1/2 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i)) #s(literal 1/4 binary64)) i)) #s(literal 1/2 binary64))))
#s(approx (/ i (+ (* 2 i) 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (/ i (+ (* 2 i) 1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) i)) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) i) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* 2 i) -1) (*.f64 (neg.f64 i) (-.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (* (- (* (* (+ (* (* i i) -4) -1) i) i) 1/4) i) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))) (pow.f64 i #s(literal -2 binary64))) (pow.f64 i #s(literal 5 binary64)))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/2 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/4 binary64)) i)) #s(literal 1/2 binary64))))
#s(approx (/ (* i i) (+ (* 2 i) 1)) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i)) #s(literal 1/4 binary64)) i)) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) #s(literal 1/8 binary64)) i)))
#s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/32 binary64) i)) #s(literal 1/16 binary64)) i)) #s(literal 1/8 binary64)) i)))

eval82.0ms (2.9%)

Memory: -25.0MiB live, 162.0MiB allocated; 22ms collecting garbage
Compiler: Compiled 18 512 to 2 045 computations (89% saved)

prune24.0ms (0.9%)

Memory

-0.3MiB live, 42.4MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	563	2	565
Fresh	0	0	0
Picked	4	1	5
Done	0	3	3
Total	567	6	573

Accuracy

100.0%

Counts

573 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (-.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)))
✓	50.3%	(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))))
▶	75.6%	(.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
✓	50.4%	#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)))
✓	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	49.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 171 to 94 computations (45% saved)

series6.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

17 → 46

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	i	@	-inf	((* (* i i) (/ 1/4 (* (+ (* 2 i) -1) (+ (* 2 i) 1)))) (* i i) i (/ 1/4 (* (+ (* 2 i) -1) (+ (* 2 i) 1))) 1/4 (* (+ (* 2 i) -1) (+ (* 2 i) 1)) (+ (* 2 i) -1) 2 -1 (+ (* 2 i) 1) 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) (- (* (* i i) 4) 1) (* (* i i) 4) 4)
2.0ms	i	@	inf	((* (* i i) (/ 1/4 (* (+ (* 2 i) -1) (+ (* 2 i) 1)))) (* i i) i (/ 1/4 (* (+ (* 2 i) -1) (+ (* 2 i) 1))) 1/4 (* (+ (* 2 i) -1) (+ (* 2 i) 1)) (+ (* 2 i) -1) 2 -1 (+ (* 2 i) 1) 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) (- (* (* i i) 4) 1) (* (* i i) 4) 4)
1.0ms	i	@	0	((* (* i i) (/ 1/4 (* (+ (* 2 i) -1) (+ (* 2 i) 1)))) (* i i) i (/ 1/4 (* (+ (* 2 i) -1) (+ (* 2 i) 1))) 1/4 (* (+ (* 2 i) -1) (+ (* 2 i) 1)) (+ (* 2 i) -1) 2 -1 (+ (* 2 i) 1) 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* i i) 4) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) (- (* (* i i) 4) 1) (* (* i i) 4) 4)

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite210.0ms (7.5%)

Memory

9.9MiB live, 153.5MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1106
0	150	1014
1	571	957
0	4669	897

Stop Event

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

Counts

63 → 435

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fabs.f64 i)) (fabs.f64 i))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) i)
(.f64 (.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 i i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(.f64 i (/.f64 (.f64 #s(literal 1/4 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.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 (neg.f64 i) (neg.f64 i))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 i i)
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (fabs.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 (neg.f64 i) i))
(fabs.f64 (*.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))))
i
(.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)))
(.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(literal 1/4 binary64)
(.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64)))
(.f64 (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -2 binary64) i (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) i (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) (-.f64 (fma.f64 #s(literal -2 binary64) i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) i (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -2 binary64) i (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) i (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) i (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
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#s(literal 4 binary64)
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eval57.0ms (2.1%)

Memory: -11.0MiB live, 79.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 9 414 to 1 368 computations (85.5% saved)

prune10.0ms (0.4%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	388	2	390
Fresh	0	0	0
Picked	2	0	2
Done	0	4	4
Total	390	6	396

Accuracy

100.0%

Counts

396 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	50.3%	(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(approx (/ (* (/ i (* i 4)) (/ i i)) (+ (* 2 i) -1)) (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64))))
	75.7%	(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
✓	50.4%	#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)))
✓	49.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	49.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 559 to 176 computations (68.5% saved)

regimes24.0ms (0.9%)

Memory

-39.3MiB live, 20.1MiB allocated; 28ms collecting garbage

Counts

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

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

Calls

2 calls:

19.0ms

4.0ms

(/.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
100.0%	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)))`
100.0%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes7.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

4.0ms

3.0ms

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

Results

Accuracy	Segments	Branch
79.5%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
100.0%	2	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes2.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory

-41.2MiB live, 4.6MiB allocated; 5ms 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:

4.0ms

Results

Accuracy	Segments	Branch
97.8%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
49.6%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
49.6%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	258442.00694933388	629291081.108025

Samples

1.0ms

32×

valid

Compiler

Compiled 106 to 58 computations (45.3% saved)

Precisions

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

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	258442.00694933388	629291081.108025

Compiler

Compiled 106 to 58 computations (45.3% saved)

bsearch11.0ms (0.4%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.030617353657899173	0.9345405100594092

Samples

5.0ms

112×

valid

Compiler

Compiled 469 to 231 computations (50.7% saved)

Precisions

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

ival-mult!: 2.0ms (69.4% of total)

ival-div!: 1.0ms (34.7% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.030617353657899173	0.9345405100594092

Compiler

Compiled 434 to 210 computations (51.6% saved)

derivations166.0ms (5.9%)

Memory

-4.3MiB live, 140.6MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 257 to 45 computations (82.5% saved)

preprocess37.0ms (1.3%)

Memory: -17.9MiB live, 70.7MiB allocated; 11ms collecting garbage
Remove: (abs i)
Compiler: Compiled 1 078 to 326 computations (69.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.1s (38.8%)

explain273.0ms (9.8%)

preprocess36.0ms (1.3%)

series7.0ms (0.3%)

rewrite123.0ms (4.4%)

eval60.0ms (2.2%)

prune11.0ms (0.4%)

series13.0ms (0.5%)

rewrite213.0ms (7.7%)

eval43.0ms (1.5%)

prune18.0ms (0.7%)

series27.0ms (1%)

rewrite232.0ms (8.3%)

eval82.0ms (2.9%)

prune24.0ms (0.9%)

series6.0ms (0.2%)

rewrite210.0ms (7.5%)

eval57.0ms (2.1%)

prune10.0ms (0.4%)

regimes24.0ms (0.9%)

regimes7.0ms (0.3%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch11.0ms (0.4%)

bsearch1.0ms (0%)

derivations166.0ms (5.9%)

preprocess37.0ms (1.3%)

end0.0ms (0%)

Profiling