Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze4.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB 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 (42.9%)

Memory

20.6MiB live, 2 121.5MiB allocated; 537ms collecting garbage

Samples

757.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 508.0ms

ival-mult!: 335.0ms (65.9% of total)

ival-div!: 122.0ms (24% of total)

ival-sub!: 49.0ms (9.6% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

explain228.0ms (9%)

Memory

-23.9MiB live, 504.9MiB allocated; 42ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
189	1	(4.701347533972281e-162)	1	(1.679920187702935e-78)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
49	0	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	0	-	0	-	`(*.f64 i i)`
0	0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	0	-	0	-	`i`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	63	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	126
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	63
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	50	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	99
↳	`(*.f64 i i)`	overflow	98
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	49	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	99
↳	`(*.f64 i i)`	overflow	98
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	49
`/.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	49	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	99
↳	`(*.f64 i i)`	overflow	98
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	49
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	49
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	49
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	49
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	27	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	90
↳	`(*.f64 i i)`	underflow	126

Confusion

	Predicted +	Predicted -
+	188	1
-	1	66

Precision

0.9947089947089947

Recall

0.9947089947089947

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	188	0	1
-	1	0	66

Precision?

0.9947089947089947

Recall?

0.9947089947089947

Freqs

test

number	freq
0	67
1	140
2	49

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult!: 11.0ms (52.9% of total)

ival-div!: 8.0ms (38.5% of total)

ival-sub!: 2.0ms (9.6% of total)

adjust: 0.0ms (0% of total)

preprocess34.0ms (1.3%)

Memory

-7.2MiB live, 36.4MiB allocated; 7ms 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
▶	28.2%	(/.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)))

Status

Accuracy

Program

▶

28.2%

(/.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)))

Symmetry

(abs i)

Compiler

Compiled 50 to 20 computations (60% saved)

series7.0ms (0.3%)

Memory

33.3MiB live, 33.3MiB allocated; 0ms collecting garbage

Counts

10 → 18

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)
3.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)
2.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* i i) i (* (* 2 i) (* 2 i)) (* 2 i) 2 (- (* (* 2 i) (* 2 i)) 1) 1)

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite132.0ms (5.2%)

Memory

-17.1MiB live, 281.4MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

28 → 241

Calls

Call 1

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

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

eval31.0ms (1.2%)

Memory: 20.1MiB live, 109.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 8 725 to 1 026 computations (88.2% saved)

prune11.0ms (0.4%)

Memory

-17.5MiB live, 38.2MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	329	6	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	330	6	336

Accuracy

100.0%

Counts

336 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(/.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)))
▶	81.3%	(.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))))
▶	47.6%	#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)))
▶	47.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶	47.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
▶	53.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 380 to 190 computations (50% saved)

series14.0ms (0.6%)

Memory

1.7MiB live, 48.5MiB allocated; 2ms 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)
4.0ms	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)

4.0ms

-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)

rewrite162.0ms (6.4%)

Memory

-3.2MiB live, 374.8MiB allocated; 39ms 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))))

eval41.0ms (1.6%)

Memory: -10.1MiB live, 134.2MiB allocated; 23ms collecting garbage
Compiler: Compiled 11 683 to 1 266 computations (89.2% saved)

prune8.0ms (0.3%)

Memory

33.9MiB live, 33.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	309	2	311
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	312	5	317

Accuracy

100.0%

Counts

317 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.8%	(/.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))))
✓	47.6%	#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)))
▶	47.5%	#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))
✓	47.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	53.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 151 to 74 computations (51% saved)

series34.0ms (1.4%)

Memory

-22.3MiB live, 23.5MiB allocated; 5ms collecting garbage

Counts

17 → 46

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite222.0ms (8.8%)

Memory

8.2MiB live, 287.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	1046
0	164	932
1	629	903
0	5165	837

Stop Event

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

Counts

63 → 347

Calls

Call 1

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

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

eval59.0ms (2.3%)

Memory: 7.4MiB live, 116.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 414 to 1 198 computations (85.8% saved)

prune24.0ms (1%)

Memory

-23.6MiB live, 20.5MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	336	2	338
Fresh	0	0	0
Picked	2	0	2
Done	1	2	3
Total	339	4	343

Accuracy

100.0%

Counts

343 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.8%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
▶	47.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i))
✓	47.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	53.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 105 to 50 computations (52.4% saved)

series5.0ms (0.2%)

Memory

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

Counts

14 → 36

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite138.0ms (5.4%)

Memory

-9.7MiB live, 164.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	880
0	137	771
1	545	757
0	4418	736

Stop Event

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

Counts

50 → 234

Calls

Call 1

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

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

eval42.0ms (1.6%)

Memory: 7.7MiB live, 53.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 304 to 878 computations (86.1% saved)

prune10.0ms (0.4%)

Memory

-28.8MiB live, 16.8MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	268	1	269
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	268	5	273

Accuracy

100.0%

Counts

273 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.8%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
	47.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) i)) i))
✓	47.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i))
✓	47.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	53.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 492 to 134 computations (72.8% saved)

regimes7.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB 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 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (.f64 (neg.f64 i) i) i (*.f64 #s(literal -1/4 binary64) 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 (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 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 (.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 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
81.3%	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%	2	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
53.1%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
53.1%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch20.0ms (0.8%)

Memory

-41.8MiB live, 9.5MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
19.0ms	12440624.05798575	64319597.82588777

Samples

15.0ms

48×

valid

Compiler

Compiled 145 to 80 computations (44.8% saved)

Precisions

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

ival-mult!: 14.0ms (99.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch12.0ms (0.5%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0028966309703137207	1.9483383433536448

Samples

6.0ms

128×

valid

Compiler

Compiled 540 to 262 computations (51.5% saved)

Precisions

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

ival-mult!: 2.0ms (61.1% of total)

ival-div!: 1.0ms (30.5% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0028966309703137207	1.9483383433536448

Compiler

Compiled 524 to 254 computations (51.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0028966309703137207	1.9483383433536448

Compiler

Compiled 492 to 238 computations (51.6% saved)

derivations166.0ms (6.5%)

Memory

1.9MiB live, 191.6MiB allocated; 15ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 266 to 40 computations (85% saved)

preprocess27.0ms (1.1%)

Memory: 16.1MiB live, 62.2MiB allocated; 4ms collecting garbage
Remove: (abs i)
Compiler: Compiled 1 114 to 292 computations (73.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.2%)

sample1.1s (42.9%)

explain228.0ms (9%)

preprocess34.0ms (1.3%)

series7.0ms (0.3%)

rewrite132.0ms (5.2%)

eval31.0ms (1.2%)

prune11.0ms (0.4%)

series14.0ms (0.6%)

rewrite162.0ms (6.4%)

eval41.0ms (1.6%)

prune8.0ms (0.3%)

series34.0ms (1.4%)

rewrite222.0ms (8.8%)

eval59.0ms (2.3%)

prune24.0ms (1%)

series5.0ms (0.2%)

rewrite138.0ms (5.4%)

eval42.0ms (1.6%)

prune10.0ms (0.4%)

regimes7.0ms (0.3%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch20.0ms (0.8%)

bsearch12.0ms (0.5%)

bsearch1.0ms (0.1%)

bsearch1.0ms (0%)

derivations166.0ms (6.5%)

preprocess27.0ms (1.1%)

end0.0ms (0%)

Profiling