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

7.2MiB live, 7.2MiB 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)

sample921.0ms (28.5%)

Memory

8.8MiB live, 1 185.0MiB allocated; 130ms collecting garbage

Samples

655.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 371.0ms

ival-mult: 197.0ms (53.1% of total)

ival-div: 98.0ms (26.4% of total)

ival-sub: 62.0ms (16.7% of total)

exact: 9.0ms (2.4% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain151.0ms (4.7%)

Memory

35.8MiB live, 231.0MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
201	-	2	(4.080449855562865e-81)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
70	-	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	70	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	110
↳	`(*.f64 i i)`	overflow	140
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	70
`/.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	70	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	110
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(*.f64 i i)`	overflow	140
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	70
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	70
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	70
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	70
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	60	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	89
↳	`(*.f64 i i)`	underflow	120
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	60
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	40	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	110
↳	`(*.f64 i i)`	overflow	140
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	29	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	89
↳	`(*.f64 i i)`	underflow	120

Confusion

	Predicted +	Predicted -
+	199	2
-	0	55

Precision

1.0

Recall

0.9900497512437811

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	199	0	2
-	0	0	55

Precision?

1.0

Recall?

0.9900497512437811

Freqs

test

number	freq
0	57
1	129
2	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

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

ival-mult: 15.0ms (56.3% of total)

ival-div: 7.0ms (26.3% of total)

ival-sub: 3.0ms (11.3% of total)

exact: 1.0ms (3.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess172.0ms (5.3%)

Memory

-0.6MiB live, 195.0MiB allocated; 13ms 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)

prune1.0ms (0%)

Memory

-46.4MiB live, 0.9MiB allocated; 1ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.6%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

23.6%

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

Compiler

Compiled 25 to 10 computations (60% saved)

series8.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB 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)

rewrite130.0ms (4%)

Memory

-3.3MiB live, 141.7MiB allocated; 5ms 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))))
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(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(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))

eval30.0ms (0.9%)

Memory: -4.3MiB live, 41.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 9 275 to 1 027 computations (88.9% saved)

prune394.0ms (12.2%)

Memory

9.7MiB live, 341.6MiB allocated; 16ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	355	2	357
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	356	2	358

Accuracy

100.0%

Counts

358 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	#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)))
▶	47.2%	#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)))

Status

Accuracy

Program

53.9%

#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)))

▶

47.2%

#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)))

Compiler

Compiled 79 to 38 computations (51.9% saved)

series6.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

13 → 49

Calls

Call 1

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

Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* -1/4 (pow i 2))))
#s(approx (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* -1 (pow i 2)) 1/4))))
#s(approx (* (- (* (* (+ (* (+ (* -16 (* i i)) -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 (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))))
#s(approx (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) #s(hole binary64 (- (* -1 (pow i 2)) 1/4)))
#s(approx (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) #s(hole binary64 (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)))
#s(approx (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) #s(hole binary64 (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)))
#s(approx (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) #s(hole binary64 (* -1 (pow i 2))))
#s(approx (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) #s(hole binary64 (* (pow i 2) (- (* -4 (pow i 2)) 1))))
#s(approx (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) #s(hole binary64 (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))))
#s(approx (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) #s(hole binary64 (* -1 i)))
#s(approx (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) #s(hole binary64 (* i (- (* -4 (pow i 2)) 1))))
#s(approx (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) #s(hole binary64 (* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))))
#s(approx (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) #s(hole binary64 (- (* -4 (pow i 2)) 1)))
#s(approx (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) #s(hole binary64 (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)))
#s(approx (+ (* -16 (* i i)) -4) #s(hole binary64 -4))
#s(approx (+ (* -16 (* i i)) -4) #s(hole binary64 (- (* -16 (pow i 2)) 4)))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx i #s(hole binary64 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 (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* -16 (pow i 8))))
#s(approx (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* -1 (* (pow i 8) (+ 16 (* 4 (/ 1 (pow i 2))))))))
#s(approx (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 8) (- (* -1 (/ (+ 4 (/ 1 (pow i 2))) (pow i 2))) 16))))
#s(approx (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) #s(hole binary64 (* (pow i 8) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 4))) (+ 16 (* 4 (/ 1 (pow i 2))))))))
#s(approx (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) #s(hole binary64 (* -16 (pow i 6))))
#s(approx (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) #s(hole binary64 (* -1 (* (pow i 6) (+ 16 (* 4 (/ 1 (pow i 2))))))))
#s(approx (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) #s(hole binary64 (* (pow i 6) (- (* -1 (/ (+ 4 (/ 1 (pow i 2))) (pow i 2))) 16))))
#s(approx (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) #s(hole binary64 (* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 4))) (+ 16 (* 4 (/ 1 (pow i 2))))))))
#s(approx (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) #s(hole binary64 (* -16 (pow i 6))))
#s(approx (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) #s(hole binary64 (* -1 (* (pow i 6) (+ 16 (* 4 (/ 1 (pow i 2))))))))
#s(approx (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) #s(hole binary64 (* (pow i 6) (- (* -1 (/ (+ 4 (/ 1 (pow i 2))) (pow i 2))) 16))))
#s(approx (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) #s(hole binary64 (* -16 (pow i 5))))
#s(approx (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 16 (* 4 (/ 1 (pow i 2))))))))
#s(approx (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) #s(hole binary64 (* (pow i 5) (- (* -1 (/ (+ 4 (/ 1 (pow i 2))) (pow i 2))) 16))))
#s(approx (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) #s(hole binary64 (* -16 (pow i 4))))
#s(approx (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) #s(hole binary64 (* -1 (* (pow i 4) (+ 16 (* 4 (/ 1 (pow i 2))))))))
#s(approx (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) #s(hole binary64 (* (pow i 4) (- (* -1 (/ (+ 4 (/ 1 (pow i 2))) (pow i 2))) 16))))
#s(approx (+ (* -16 (* i i)) -4) #s(hole binary64 (* -16 (pow i 2))))
#s(approx (+ (* -16 (* i i)) -4) #s(hole binary64 (* -1 (* (pow i 2) (+ 16 (* 4 (/ 1 (pow i 2))))))))
#s(approx (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) #s(hole binary64 (* -1 (* (pow i 5) (+ 16 (+ (* 4 (/ 1 (pow i 2))) (/ 1 (pow i 4))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) (+ (* -16 (* i i)) -4) -16 (* i i) i -4 -1 1/4)
2.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) (+ (* -16 (* i i)) -4) -16 (* i i) i -4 -1 1/4)
1.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* i i)) (- (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) 1/4) (* (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) i) (* (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) i) (+ (* (+ (* -16 (* i i)) -4) (* i i)) -1) (+ (* -16 (* i i)) -4) -16 (* i i) i -4 -1 1/4)

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite235.0ms (7.3%)

Memory

-13.0MiB live, 183.0MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1553
0	176	1418
1	701	1405
0	6379	1342

Stop Event

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

Counts

62 → 187

Calls

Call 1

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

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

eval31.0ms (1%)

Memory: 12.6MiB live, 59.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 13 371 to 1 330 computations (90.1% saved)

prune820.0ms (25.4%)

Memory

-11.6MiB live, 1 048.0MiB allocated; 73ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	250	2	252

Accuracy

100.0%

Counts

252 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	#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)))
✓	47.2%	#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)))

Status

Accuracy

Program

▶

53.9%

#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)))

✓

47.2%

#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)))

Compiler

Compiled 79 to 38 computations (51.9% saved)

series2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Counts

7 → 14

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (pow i -2) 1/64) 1/16) (pow i -2) i -2 1/64 1/16)
1.0ms	i	@	inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (pow i -2) 1/64) 1/16) (pow i -2) i -2 1/64 1/16)
1.0ms	i	@	-inf	((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (pow i -2) 1/64) 1/16) (pow i -2) i -2 1/64 1/16)

Time

Variable

Point

Expression

1.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (pow i -2) 1/64) 1/16) (pow i -2) i -2 1/64 1/16)

1.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (pow i -2) 1/64) 1/16) (pow i -2) i -2 1/64 1/16)

1.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (* (pow i -2) 1/64) 1/16) (pow i -2) i -2 1/64 1/16)

rewrite112.0ms (3.5%)

Memory

28.5MiB live, 122.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	423
0	78	336
1	393	334
0	3511	320

Stop Event

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

Counts

21 → 73

Calls

Call 1

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

Outputs
#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)))
(/.f64 (-.f64 #s(literal 1/4096 binary64) (pow.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/262144 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal -1/4096 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/256 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/262144 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal -1/4096 binary64))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (*.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/262144 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal -1/4096 binary64)) (fma.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/256 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/262144 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal -1/4096 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (*.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal -2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -1 binary64))) (pow.f64 i #s(literal -1 binary64)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (neg.f64 i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (fabs.f64 i)) (/.f64 #s(literal 1 binary64) (fabs.f64 i)) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal -1 binary64)) #s(literal 1/16 binary64))
(fma.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/64 binary64)) #s(literal 1/16 binary64))
(fma.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64) #s(literal 1/16 binary64))
(fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 1/16 binary64))
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))
(-.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)) #s(literal -1/16 binary64))
(-.f64 #s(literal 1/16 binary64) (*.f64 (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal 1/64 binary64)))
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1/4096 binary64) (fma.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/256 binary64))) (/.f64 (/.f64 #s(literal 1/262144 binary64) (pow.f64 i #s(literal 6 binary64))) (fma.f64 (.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/256 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 1/262144 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal -2 binary64))))) (/.f64 #s(literal 1/4096 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal -2 binary64))))))
(+.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))
(.f64 (pow.f64 (.f64 i i) #s(literal -1/2 binary64)) (pow.f64 (*.f64 i i) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 i)) (/.f64 #s(literal 1 binary64) (fabs.f64 i)))
(*.f64 (neg.f64 (pow.f64 i #s(literal -1 binary64))) (neg.f64 (pow.f64 i #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 i #s(literal -1 binary64))) (fabs.f64 (pow.f64 i #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 i) #s(literal -1 binary64)) (pow.f64 (neg.f64 i) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 i) #s(literal -1 binary64)) (pow.f64 (fabs.f64 i) #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal -2 binary64))
(pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal -1 binary64))
(pow.f64 i #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (pow.f64 i #s(literal -1 binary64)) i)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 i) i)))
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 i i)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 i) i)))
(+.f64 (cosh.f64 (.f64 (log.f64 i) #s(literal -2 binary64))) (sinh.f64 (.f64 (log.f64 i) #s(literal -2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 i i)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 i) #s(literal -2 binary64)))
i
#s(literal -2 binary64)
#s(literal 1/64 binary64)
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 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 (+ (* (pow i -2) 1/64) 1/16) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)))
#s(approx (+ (* (pow i -2) 1/64) 1/16) (/.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/16 binary64) #s(literal 1/64 binary64)) i) i))
#s(approx (pow i -2) (pow.f64 i #s(literal -2 binary64)))
#s(approx i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (fma.f64 (pow.f64 i #s(literal -6 binary64)) #s(literal 1/1024 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))) #s(literal -1/16 binary64)))
#s(approx (+ (* (pow i -2) 1/64) 1/16) #s(literal 1/16 binary64))
#s(approx (+ (* (pow i -2) 1/64) 1/16) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))

eval14.0ms (0.4%)

Memory: -27.5MiB live, 23.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 730 to 286 computations (89.5% saved)

prune67.0ms (2.1%)

Memory

-15.7MiB live, 127.3MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	72	2	74

Accuracy

100.0%

Counts

74 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.9%	#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)))
✓	47.2%	#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)))

Status

Accuracy

Program

✓

53.9%

#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)))

✓

47.2%

#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)))

Compiler

Compiled 183 to 74 computations (59.6% saved)

regimes3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Accuracy

Total -63.6b remaining (-∞%)

Threshold costs -63.6b (-∞%)

Counts

3 → 2

Calls

Call 1

Inputs

#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)))

(/.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)))

#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)))

Outputs

#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))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)))

Calls

2 calls:

2.0ms

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
76.9%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
100.0%	2	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch21.0ms (0.7%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0006192835373146682	165701621244012930.0

Samples

11.0ms

176×

valid

Compiler

Compiled 897 to 454 computations (49.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (56.3% of total)

ival-div: 2.0ms (28.1% of total)

ival-sub: 1.0ms (14.1% 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)

simplify71.0ms (2.2%)

Memory

-22.1MiB live, 76.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	83
1	71	79
2	424	67
3	3490	67

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (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))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))))

Outputs

(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (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))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64))))

derivations25.0ms (0.8%)

Memory

-20.2MiB live, 27.4MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 83 to 31 computations (62.7% saved)

preprocess15.0ms (0.5%)

Memory: 35.5MiB live, 35.5MiB allocated; 0ms collecting garbage
Remove: (abs i)
Compiler: Compiled 382 to 144 computations (62.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample921.0ms (28.5%)

explain151.0ms (4.7%)

preprocess172.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

series8.0ms (0.2%)

rewrite130.0ms (4%)

eval30.0ms (0.9%)

prune394.0ms (12.2%)

series6.0ms (0.2%)

rewrite235.0ms (7.3%)

eval31.0ms (1%)

prune820.0ms (25.4%)

series2.0ms (0.1%)

rewrite112.0ms (3.5%)

eval14.0ms (0.4%)

prune67.0ms (2.1%)

regimes3.0ms (0.1%)

bsearch21.0ms (0.7%)

simplify71.0ms (2.2%)

derivations25.0ms (0.8%)

preprocess15.0ms (0.5%)

end0.0ms (0%)

Profiling