Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB 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 (39.8%)

Memory

64.3MiB live, 1 610.0MiB allocated; 342ms collecting garbage

Samples

752.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 531.0ms

ival-mult: 250.0ms (47.1% of total)

ival-div: 182.0ms (34.3% of total)

ival-sub: 84.0ms (15.8% of total)

exact: 10.0ms (1.9% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain185.0ms (6.8%)

Memory

-23.5MiB live, 253.9MiB allocated; 45ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
202	-	2	(1.2057892695124092e-80)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
67	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	67	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	102
↳	`(*.f64 i i)`	overflow	134
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	67
`/.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	67	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	102
↳	`(*.f64 i i)`	overflow	134
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	67
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	67
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	67
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	67
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	66	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	98
↳	`(*.f64 i i)`	underflow	132
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	66
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	35	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	102
↳	`(*.f64 i i)`	overflow	134
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	98
↳	`(*.f64 i i)`	underflow	132

Confusion

	Predicted +	Predicted -
+	200	2
-	0	54

Precision

1.0

Recall

0.9900990099009901

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	200	0	2
-	0	0	54

Precision?

1.0

Recall?

0.9900990099009901

Freqs

test

number	freq
0	56
1	133
2	67

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

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

ival-mult: 13.0ms (57.1% of total)

ival-div: 6.0ms (26.3% of total)

ival-sub: 3.0ms (13.2% of total)

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

exact: 1.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

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

preprocess188.0ms (7%)

Memory

10.7MiB live, 242.2MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	99	58
2	782	39
3	4781	39
0	10	25
0	17	21
1	56	19
2	400	13
3	3443	13
0	9677	12

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

23.5%

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

Compiler

Compiled 25 to 10 computations (60% saved)

series7.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB 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)

rewrite215.0ms (8%)

Memory

-11.1MiB live, 278.2MiB allocated; 57ms 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)))))
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(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 i i)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 i i) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (.f64 i i) #s(literal -4 binary64)) (.f64 i i) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
#s(approx (* (* i i) (* i i)) (pow.f64 i #s(literal 4 binary64)))
#s(approx (* i i) (*.f64 i i))
#s(approx i i)
#s(approx (* (* 2 i) (* 2 i)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
#s(approx (* 2 i) (*.f64 #s(literal 2 binary64) i))
#s(approx (- (* (* 2 i) (* 2 i)) 1) #s(literal -1 binary64))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))) #s(literal -1/16 binary64)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
#s(approx (- (* (* 2 i) (* 2 i)) 1) (.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i))

eval61.0ms (2.3%)

Memory: 25.3MiB live, 173.2MiB allocated; 20ms collecting garbage
Compiler: Compiled 9 275 to 1 027 computations (88.9% saved)

prune17.0ms (0.6%)

Memory

-33.8MiB live, 59.8MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	351	6	357
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	352	6	358

Accuracy

100.0%

Counts

358 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.5%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)))
▶	73.8%	(/.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)))
▶	49.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 i i) #s(literal -1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶	49.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶	49.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
▶	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 378 to 184 computations (51.3% saved)

series11.0ms (0.4%)

Memory

33.5MiB live, 33.5MiB allocated; 0ms collecting garbage

Counts

29 → 53

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* (* (+ (* -4 (* i i)) -1) i) i) (* (+ (* -4 (* i i)) -1) i) (+ (* -4 (* i i)) -1) -4 -1)
3.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* (* (+ (* -4 (* i i)) -1) i) i) (* (+ (* -4 (* i i)) -1) i) (+ (* -4 (* i i)) -1) -4 -1)
2.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (* i i) i (- (* (* 2 i) (* 2 i)) 1) (* (* 2 i) (* 2 i)) (* 2 i) 2 1 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) 1/16 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* i i) -1/4) -1/4 (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (neg i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* i i)) (- (* (* (+ (* -4 (* i i)) -1) i) i) 1/4) (* (* (+ (* -4 (* i i)) -1) i) i) (* (+ (* -4 (* i i)) -1) i) (+ (* -4 (* i i)) -1) -4 -1)

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite243.0ms (9%)

Memory

-55.9MiB live, 244.9MiB allocated; 80ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

82 → 551

Calls

Call 1

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

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

eval159.0ms (5.9%)

Memory: -16.5MiB live, 222.0MiB allocated; 35ms collecting garbage
Compiler: Compiled 31 374 to 2 898 computations (90.8% saved)

prune40.0ms (1.5%)

Memory

17.4MiB live, 63.2MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	778	2	780
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	782	4	786

Accuracy

100.0%

Counts

786 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)))
▶	49.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
✓	49.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 121 to 58 computations (52.1% saved)

series10.0ms (0.4%)

Memory

-24.6MiB live, 18.3MiB allocated; 8ms collecting garbage

Counts

15 → 34

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (neg i) i) -1/4) (* i i)) (+ (* (neg i) i) -1/4) (neg i) i -1/4 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i 4) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (+ (* (* i 4) i) -1) (* i 4) 4 -1)
3.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (neg i) i) -1/4) (* i i)) (+ (* (neg i) i) -1/4) (neg i) i -1/4 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i 4) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (+ (* (* i 4) i) -1) (* i 4) 4 -1)
1.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (neg i) i) -1/4) (* i i)) (+ (* (neg i) i) -1/4) (neg i) i -1/4 (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i 4) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* 1/4 (* i i)) 1/4 (+ (* (* i 4) i) -1) (* i 4) 4 -1)

Time

Variable

Point

Expression

5.0ms

inf

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

3.0ms

-inf

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

1.0ms

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

rewrite136.0ms (5%)

Memory

35.6MiB live, 180.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	957
0	129	794
1	514	757
0	4310	720

Stop Event

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

Counts

49 → 241

Calls

Call 1

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

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

eval50.0ms (1.9%)

Memory: 0.7MiB live, 46.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 10 137 to 897 computations (91.2% saved)

prune49.0ms (1.8%)

Memory

-20.9MiB live, 23.5MiB allocated; 8ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	290	4	294

Accuracy

100.0%

Counts

294 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)))
✓	49.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (.f64 i i)))
✓	49.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
✓	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 398 to 107 computations (73.1% saved)

regimes6.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Outputs

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

Calls

2 calls:

3.0ms

2.0ms

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

Results

Accuracy	Segments	Branch
73.8%	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)

regimes2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
51.4%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
51.4%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch47.0ms (1.7%)

Memory

-29.8MiB live, 26.8MiB allocated; 23ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
45.0ms	129238.42135536755	22044326946.74279

Samples

38.0ms

112×

valid

Compiler

Compiled 413 to 224 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 32.0ms (90.1% of total)

ival-mult: 3.0ms (8.4% of total)

ival-sub: 1.0ms (2.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.4%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.27989450835224616	3.041326563040293

Samples

6.0ms

96×

valid

Compiler

Compiled 400 to 194 computations (51.5% saved)

Precisions

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

ival-mult: 2.0ms (49.4% of total)

ival-sub: 1.0ms (24.7% of total)

ival-div: 1.0ms (24.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.27989450835224616	3.041326563040293

Compiler

Compiled 376 to 182 computations (51.6% saved)

simplify54.0ms (2%)

Memory

3.4MiB live, 86.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	214
1	75	200
2	425	158
3	3496	158

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations98.0ms (3.6%)

Memory

-10.1MiB live, 142.1MiB allocated; 22ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 214 to 35 computations (83.6% saved)

preprocess26.0ms (1%)

Memory: -24.0MiB live, 67.3MiB allocated; 13ms collecting garbage
Remove: (abs i)
Compiler: Compiled 596 to 138 computations (76.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.1s (39.8%)

explain185.0ms (6.8%)

preprocess188.0ms (7%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.3%)

rewrite215.0ms (8%)

eval61.0ms (2.3%)

prune17.0ms (0.6%)

series11.0ms (0.4%)

rewrite243.0ms (9%)

eval159.0ms (5.9%)

prune40.0ms (1.5%)

series10.0ms (0.4%)

rewrite136.0ms (5%)

eval50.0ms (1.9%)

prune49.0ms (1.8%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch47.0ms (1.7%)

bsearch11.0ms (0.4%)

bsearch1.0ms (0%)

simplify54.0ms (2%)

derivations98.0ms (3.6%)

preprocess26.0ms (1%)

end0.0ms (0%)

Profiling