Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

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

analyze18.0ms (0.3%)

Memory

-41.7MiB live, 4.9MiB allocated; 18ms 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)

sample1.3s (24.6%)

Memory

59.0MiB live, 1 624.2MiB allocated; 265ms collecting garbage

Samples

928.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 752.0ms

ival-mult: 429.0ms (57% of total)

ival-div: 210.0ms (27.9% of total)

ival->: 51.0ms (6.8% of total)

ival-sub: 41.0ms (5.5% of total)

exact: 14.0ms (1.9% of total)

ival-assert: 4.0ms (0.5% of total)

adjust: 3.0ms (0.4% of total)

Bogosity

explain185.0ms (3.5%)

Memory

-36.7MiB live, 114.0MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
194	2	(1.5605079824637987e-161)	1	(5.8526321816763615e-80)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
52	0	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	0	-	0	-	`(*.f64 i i)`
0	0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	0	-	0	-	`i`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	69	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	102
↳	`(*.f64 i i)`	underflow	138
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	69
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	52	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	93
↳	`(*.f64 i i)`	overflow	104
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	52
`/.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	52	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	93
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(*.f64 i i)`	overflow	104
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	52
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	52
↳	`(*.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	52
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	52
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	41	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	93
↳	`(*.f64 i i)`	overflow	104
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	33	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	102
↳	`(*.f64 i i)`	underflow	138

Confusion

	Predicted +	Predicted -
+	193	1
-	2	60

Precision

0.9897435897435898

Recall

0.9948453608247423

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	193	0	1
-	2	0	60

Precision?

0.9897435897435898

Recall?

0.9948453608247423

Freqs

test

number	freq
0	61
1	143
2	52

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 23.0ms (60.4% of total)

ival-mult: 12.0ms (31.5% of total)

ival-sub: 2.0ms (5.3% of total)

exact: 1.0ms (2.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess158.0ms (3%)

Memory

25.3MiB live, 70.7MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	62	43
2	503	26
3	4001	26
0	10	25
0	17	21
1	56	19
2	382	13
3	3064	13
0	8431	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.0%	(/.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)))

Status

Accuracy

Program

▶

26.0%

(/.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)))

Compiler

Compiled 25 to 10 computations (60% saved)

simplify143.0ms (2.7%)

Memory

9.3MiB live, 105.6MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff	4	(.f64 (.f64 i i) (*.f64 i i))
cost-diff	4	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	72
0	17	62
1	56	56
2	382	42
3	3064	42
0	8431	40

Stop Event

1×	iter limit
1×	node limit
1×	iter 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)))
(/.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
(/.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))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(.f64 (.f64 i i) (*.f64 i i))
(pow.f64 i #s(literal 4 binary64))
(*.f64 i i)
i
(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(.f64 #s(literal 4 binary64) (.f64 i 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))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 1 binary64)

localize39.0ms (0.7%)

Memory

-18.3MiB live, 28.0MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.11556625976844201	(.f64 (.f64 i i) (*.f64 i i))
accuracy	12.59894123470039	(/.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)))
accuracy	44.12593071042227	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

31.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (57.5% of total)

ival-div: 3.0ms (28.8% of total)

ival-sub: 1.0ms (9.6% 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)

series6.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

6 → 15

Calls

Call 1

Inputs
(/.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 (.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 (.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 #s(literal 2 binary64) i)

Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

simplify214.0ms (4%)

Memory

-12.8MiB live, 131.7MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	126
1	95	126
2	209	126
3	495	126
4	1135	126
5	1599	126
6	1870	126
7	2048	126
8	2062	126
9	2062	126
10	2062	126
11	2488	126
12	3407	126
13	3413	126
14	3439	126
15	3803	126
16	4501	126
17	5100	126
18	5965	126
0	8014	124

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))

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

rewrite48.0ms (0.9%)

Memory

24.2MiB live, 71.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	66
0	17	50
1	79	44
0	661	42

Stop Event

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

Counts

6 → 166

Calls

Call 1

Inputs
(/.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 (.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 (.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 #s(literal 2 binary64) i)

Outputs
(.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 4 binary64)) (/.f64 i (.f64 i i)))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 i #s(literal 4 binary64))) (/.f64 (.f64 (neg.f64 i) i) i))
(.f64 (/.f64 (.f64 (neg.f64 i) i) #s(literal 4 binary64)) (/.f64 (.f64 (neg.f64 i) i) (.f64 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))))
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(*.f64 i #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 i i) (.f64 i i)) (-.f64 i i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i (-.f64 (.f64 i i) (.f64 i i))))
(+.f64 i i)

eval39.0ms (0.7%)

Memory: 7.8MiB live, 86.5MiB allocated; 18ms collecting garbage
Compiler: Compiled 5 966 to 690 computations (88.4% saved)

prune51.0ms (1%)

Memory

-10.6MiB live, 50.2MiB allocated; 29ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	226	7	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	227	7	234

Accuracy

100.0%

Counts

234 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.7%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
▶	99.6%	(.f64 (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
▶	50.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
▶	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
▶	50.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 454 to 218 computations (52% saved)

simplify84.0ms (1.6%)

Memory

-2.0MiB live, 133.5MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 i) i)
cost-diff	0	(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
cost-diff	0	#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)))
cost-diff	0	(*.f64 i i)
cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) i)
cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff	2	(/.f64 i i)
cost-diff	2	(*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i))
cost-diff	2	(/.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
cost-diff	4	(.f64 (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	262
0	54	232
1	120	197
2	542	186
3	4132	186
0	8577	180

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1.6%)

Memory

11.5MiB live, 195.5MiB allocated; 28ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(neg.f64 i)
accuracy	0.06869125976844201	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy	31.925320183549196	#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)))
accuracy	0.0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0.0	(*.f64 i i)
accuracy	0.5669768919166486	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	31.661600681989974	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy	0.0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) i)
accuracy	31.940747223124255	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
accuracy	31.431626470902458	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.01171875	(.f64 (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
accuracy	0.24607721543311645	(/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
accuracy	0.24998346543311645	(/.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 240 to 32 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 14.0ms (44.4% of total)

ival-div: 10.0ms (31.7% of total)

ival-sub: 3.0ms (9.5% of total)

ival-add: 2.0ms (6.3% of total)

exact: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

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

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

series14.0ms (0.3%)

Memory

-30.9MiB live, 25.3MiB allocated; 7ms collecting garbage

Counts

19 → 39

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	i	@	-inf	((* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (* (/ i 2) (/ i i)) (/ i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* 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) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1)) (* 2 i) (neg i))
4.0ms	i	@	inf	((* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (* (/ i 2) (/ i i)) (/ i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* 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) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1)) (* 2 i) (neg i))
3.0ms	i	@	0	((* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (* (/ i 2) (/ i i)) (/ i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* 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) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1)) (* 2 i) (neg i))

Time

Variable

Point

Expression

6.0ms

-inf

((* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (* (/ i 2) (/ i i)) (/ i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* 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) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1)) (* 2 i) (neg i))

4.0ms

inf

((* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (* (/ i 2) (/ i i)) (/ i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* 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) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1)) (* 2 i) (neg i))

3.0ms

((* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (* (/ i 2) (/ i i)) (/ i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* 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) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1)) (* 2 i) (neg i))

simplify204.0ms (3.8%)

Memory

49.6MiB live, 138.1MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	342
1	353	341
2	889	311
3	3187	307
0	8146	304

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/2 i)
(* i (+ 1/2 (* -1 i)))
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
1
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1/2 i)
(* i (- (* -1 i) 1/2))
(* i (- (* i (- (* -2 i) 1)) 1/2))
(* i (- (* i (- (* i (- (* -4 i) 2)) 1)) 1/2))
(* 2 i)
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/4
(- 1/4 (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(+ 1/4 (* 1/8 (/ 1 i)))
(+ 1/4 (+ (/ 1/16 (pow i 2)) (* 1/8 (/ 1 i))))
(+ 1/4 (+ (/ 1/16 (pow i 2)) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i)))

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

rewrite110.0ms (2.1%)

Memory

-22.3MiB live, 161.3MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	236
0	54	197
1	196	161
0	1430	156

Stop Event

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

Counts

19 → 180

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))))
(.f64 (/.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.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 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) 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 (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) 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 (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 (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #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 (/.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 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 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) 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 i #s(literal -2 binary64)) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (/.f64 i #s(literal -2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (/.f64 i #s(literal -2 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64))) (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 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
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(/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 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))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) i))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
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(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (.f64 (neg.f64 i) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (.f64 i i) (.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
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(neg.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 i) #s(literal 2 binary64)) (/.f64 (fabs.f64 i) i))
(*.f64 (/.f64 (fabs.f64 i) i) (/.f64 (fabs.f64 i) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 i) i) (/.f64 i #s(literal -2 binary64)))
(*.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 (neg.f64 i) i))
(.f64 (fabs.f64 i) (/.f64 (fabs.f64 i) (.f64 #s(literal 2 binary64) i)))
(.f64 (neg.f64 i) (/.f64 (neg.f64 i) (.f64 #s(literal 2 binary64) i)))
(.f64 #s(literal 1 binary64) (.f64 i #s(literal 1/2 binary64)))
(.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 1/2 binary64))
(.f64 i (/.f64 i (.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 i i) i) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i)) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) #s(literal -2 binary64))
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(/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal -2 binary64) i))
(/.f64 (neg.f64 i) #s(literal -2 binary64))
(/.f64 (.f64 i i) (.f64 #s(literal 2 binary64) i))
(/.f64 i #s(literal 2 binary64))
(neg.f64 (/.f64 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(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) 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 i i) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(.f64 i (.f64 #s(literal -1/4 binary64) i))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 i #s(literal -1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 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 #s(literal 1/64 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 3 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) (.f64 i i)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #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 1/1024 binary64) (.f64 i i)))))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 3 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) (.f64 i i))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1/16 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 3 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) (.f64 i i)))) (/.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) (*.f64 i i)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) (neg.f64 i)) (neg.f64 i))
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (fabs.f64 i)) (fabs.f64 i))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(.f64 (fabs.f64 i) (.f64 (fabs.f64 i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))))
(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(.f64 (neg.f64 i) (.f64 (neg.f64 i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))))
(.f64 (.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)))
(.f64 i (.f64 (-.f64 (*.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 (-.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (.f64 i i)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 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) (-.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (neg.f64 i) i) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/64 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 4 binary64)))))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 i))
(*.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 i) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 i) i)
(*.f64 i (neg.f64 i))
(neg.f64 (*.f64 i i))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 i #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 i) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 i (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 i) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) i) (.f64 i (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (/.f64 i #s(literal -2 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (.f64 i i) (.f64 (.f64 #s(literal 2 binary64) i) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (.f64 i #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))))
(/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 i (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(neg.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(neg.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 i i) (.f64 i i)) (-.f64 i i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i (-.f64 (.f64 i i) (.f64 i i))))
(fma.f64 #s(literal 1 binary64) i i)
(fma.f64 i #s(literal 1 binary64) i)
(+.f64 i i)
(neg.f64 i)

eval29.0ms (0.5%)

Memory: 19.5MiB live, 65.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 697 to 844 computations (89% saved)

prune57.0ms (1.1%)

Memory

-39.1MiB live, 33.0MiB allocated; 80ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	251	3	254
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	253	8	261

Accuracy

100.0%

Counts

261 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (/.f64 i #s(literal -2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
▶	79.7%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
▶	80.2%	(.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
✓	50.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
✓	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	50.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
▶	50.1%	#s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))

Compiler

Compiled 377 to 200 computations (46.9% saved)

simplify125.0ms (2.3%)

Memory

13.5MiB live, 150.7MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
cost-diff	0	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-diff	1	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff	0	(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
cost-diff	0	(/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
cost-diff	0	(*.f64 i #s(literal 1/2 binary64))
cost-diff	2	(.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
cost-diff	0	(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
cost-diff	0	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff	0	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
cost-diff	0	#s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
cost-diff	0	(*.f64 i #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
cost-diff	2	(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (/.f64 i #s(literal -2 binary64)))
cost-diff	4	(/.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (/.f64 i #s(literal -2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	362
0	87	347
1	181	310
2	773	304
3	5183	296
0	8228	296

Stop Event

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

Calls

Call 1

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

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

localize197.0ms (3.7%)

Memory

33.5MiB live, 313.2MiB allocated; 42ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.0	(*.f64 #s(literal 1/4 binary64) i)
accuracy	0.0	#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
accuracy	12.59894123470039	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 i #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 4 binary64) i)
accuracy	0.08041000976844201	(.f64 (.f64 i #s(literal 1/2 binary64)) (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
accuracy	12.186755949506896	(/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
accuracy	0.033535009768442016	(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
accuracy	0.04296875	(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i)
accuracy	0.04296875	(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
accuracy	31.920837795147552	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i)))
accuracy	0.0	(*.f64 i i)
accuracy	0.04296875	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
accuracy	0.04296875	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
accuracy	31.925320183549196	#s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.02734375	(.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (/.f64 i #s(literal -2 binary64)))
accuracy	0.2460661653756477	(/.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (/.f64 i #s(literal -2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
accuracy	0.24607721543311645	(/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))

Samples

163.0ms

256×

valid

Compiler

Compiled 329 to 50 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 65.0ms (51.8% of total)

ival-div: 48.0ms (38.2% of total)

ival-sub: 7.0ms (5.6% of total)

ival-add: 4.0ms (3.2% of total)

exact: 1.0ms (0.8% of total)

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

adjust: 0.0ms (0% of total)

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

series24.0ms (0.5%)

Memory

-38.3MiB live, 51.9MiB allocated; 7ms collecting garbage

Counts

24 → 67

Calls

Call 1

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

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* (pow i 2) (+ 1/4 (* 1/2 i)))
(* (pow i 2) (+ 1/4 (* i (+ 1/2 i))))
(* (pow i 2) (+ 1/4 (* i (+ 1/2 (* i (+ 1 (* 2 i)))))))
(* -1/2 i)
(* i (- (* -1 i) 1/2))
(* i (- (* i (- (* -2 i) 1)) 1/2))
(* i (- (* i (- (* i (- (* -4 i) 2)) 1)) 1/2))
(* 1/2 i)
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (- (* -4 (pow i 2)) 1))
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
-1
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* 2 i)
(pow i 2)
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* 4 i)
(* 1/4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/8 i)
(* -1 (* i (+ 1/8 (* 1/16 (/ 1 i)))))
(* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8))
(* i (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) (pow i 2))) (+ 1/8 (* 1/16 (/ 1 i)))))
1/4
(+ 1/4 (* 1/8 (/ 1 i)))
(+ 1/4 (+ (/ 1/16 (pow i 2)) (* 1/8 (/ 1 i))))
(+ 1/4 (+ (/ 1/16 (pow i 2)) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -4 (pow i 6))
(* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(* -4 (pow i 4))
(* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -4 (pow i 3))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))
(* -1 (* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i))))))
(* -1 (* i (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) i)) 1/16) i)))))
(+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i)))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

-inf

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

8.0ms

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

6.0ms

inf

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

simplify150.0ms (2.8%)

Memory

52.8MiB live, 237.8MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	644
1	608	638
2	1878	604
3	6201	602
0	8172	593

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 67

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* (pow i 2) (+ 1/4 (* 1/2 i)))
(* (pow i 2) (+ 1/4 (* i (+ 1/2 i))))
(* (pow i 2) (+ 1/4 (* i (+ 1/2 (* i (+ 1 (* 2 i)))))))
(* -1/2 i)
(* i (- (* -1 i) 1/2))
(* i (- (* i (- (* -2 i) 1)) 1/2))
(* i (- (* i (- (* i (- (* -4 i) 2)) 1)) 1/2))
(* 1/2 i)
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (- (* -4 (pow i 2)) 1))
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
-1
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* 2 i)
(pow i 2)
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* 4 i)
(* 1/4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/8 i)
(* -1 (* i (+ 1/8 (* 1/16 (/ 1 i)))))
(* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8))
(* i (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) (pow i 2))) (+ 1/8 (* 1/16 (/ 1 i)))))
1/4
(+ 1/4 (* 1/8 (/ 1 i)))
(+ 1/4 (+ (/ 1/16 (pow i 2)) (* 1/8 (/ 1 i))))
(+ 1/4 (+ (/ 1/16 (pow i 2)) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -4 (pow i 6))
(* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(* -4 (pow i 4))
(* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))
(* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -4 (pow i 3))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))
(* -1 (* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i))))))
(* -1 (* i (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) i)) 1/16) i)))))
(+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i)))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))

Outputs
(* -1/4 (pow i 2))
(.f64 (.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (neg.f64 i) (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -16 binary64) (.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (.f64 i i)) #s(literal 1/4 binary64)) (.f64 i i))
(* 1/4 (pow i 2))
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(* (pow i 2) (+ 1/4 (* 1/2 i)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1/4 binary64)) i) i)
(* (pow i 2) (+ 1/4 (* i (+ 1/2 i))))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) i) i #s(literal 1/4 binary64)) i) i)
(* (pow i 2) (+ 1/4 (* i (+ 1/2 (* i (+ 1 (* 2 i)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1/4 binary64)) i) i)
(* -1/2 i)
(*.f64 #s(literal -1/2 binary64) i)
(* i (- (* -1 i) 1/2))
(*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i)
(* i (- (* i (- (* -2 i) 1)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) i) #s(literal 1/2 binary64)) i)
(* i (- (* i (- (* i (- (* -4 i) 2)) 1)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) i) #s(literal 2 binary64)) i) #s(literal 1 binary64)) i) #s(literal 1/2 binary64)) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* (pow i 2) (- (* -4 (pow i 2)) 1))
(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
(* i (- (* -2 (pow i 2)) 1/2))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (*.f64 i i)) #s(literal 1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -8 binary64) (*.f64 i i)) #s(literal 2 binary64)) i) i) #s(literal 1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -32 binary64) (.f64 i i)) #s(literal 8 binary64)) i) i) #s(literal 2 binary64)) (*.f64 i i)) #s(literal 1/2 binary64)) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 1 binary64))
(* 4 (pow i 2))
(.f64 #s(literal 4 binary64) (.f64 i i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(pow i 2)
(*.f64 i i)
(* -1 i)
(neg.f64 i)
(* i (- (* -4 (pow i 2)) 1))
(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i)
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1 (* i (+ 1/8 (* 1/16 (/ 1 i)))))
(fma.f64 #s(literal -1/8 binary64) i #s(literal -1/16 binary64))
(* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) i) #s(literal 1/8 binary64)) i)
(* i (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) (pow i 2))) (+ 1/8 (* 1/16 (/ 1 i)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal -1/32 binary64)) (*.f64 i i)) #s(literal 1/8 binary64)) i #s(literal -1/16 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/8 (/ 1 i)))
(+.f64 (/.f64 #s(literal 1/8 binary64) i) #s(literal 1/4 binary64))
(+ 1/4 (+ (/ 1/16 (pow i 2)) (* 1/8 (/ 1 i))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal 1/4 binary64))
(+ 1/4 (+ (/ 1/16 (pow i 2)) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal -1/16 binary64)) i) #s(literal 1/8 binary64)) i) #s(literal 1/4 binary64))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 i i)) #s(literal -1 binary64)) (pow.f64 i #s(literal 4 binary64)))
(* -1 (pow i 3))
(pow.f64 (neg.f64 i) #s(literal 3 binary64))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -4 (pow i 6))
(*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -4 binary64))
(* -1 (* (pow i 6) (+ 4 (/ 1 (pow i 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) i) i) #s(literal -4 binary64)) (pow.f64 i #s(literal 6 binary64)))
(* (pow i 6) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) i) i) (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 4 binary64))) (pow.f64 i #s(literal 6 binary64)))
(* -4 (pow i 4))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64))
(* -1 (* (pow i 4) (+ 4 (/ 1 (pow i 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) i) i) #s(literal -4 binary64)) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow i 2)))) (pow i 2))) 4))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) i) i) (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 4 binary64))) (pow.f64 i #s(literal 4 binary64)))
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/32 binary64) i) i) #s(literal 1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 (/.f64 #s(literal -1/32 binary64) i) i)) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 (/.f64 #s(literal -1/32 binary64) i) i)) (/.f64 #s(literal -1/512 binary64) (pow.f64 i #s(literal 6 binary64)))) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(.f64 (.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
(* -4 (pow i 3))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))
(neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i))
(* -1 (* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i))))))
(fma.f64 #s(literal -1/8 binary64) i (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)))
(* -1 (* i (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) i)) 1/16) i)))))
(fma.f64 #s(literal -1/8 binary64) i (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal -1/32 binary64)) i) #s(literal 1/16 binary64)))
(+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i)))
(-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) i) #s(literal 1/8 binary64)) i))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/32 binary64) i) i) (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal 1/8 binary64)) (neg.f64 i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (*.f64 i i)) #s(literal -1/128 binary64)) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/32 binary64) i) i) #s(literal 1/8 binary64))) (neg.f64 i))

rewrite243.0ms (4.6%)

Memory

-42.5MiB live, 337.3MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	304
0	87	279
1	303	238
2	2334	231
0	9132	227

Stop Event

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

Counts

24 → 1 289

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) i) i (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) i) i (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(.f64 (/.f64 (.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))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (.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)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))) i) i) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i (.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (.f64 #s(literal 4 binary64) i) i)) (/.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (/.f64 i (.f64 (*.f64 #s(literal 4 binary64) i) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 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)) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 (.f64 (/.f64 i (.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) (/.f64 (.f64 i i) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 i (.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) (/.f64 (.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) i) i) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))) i)
(.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)) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))) i) (*.f64 #s(literal -1/2 binary64) i))
(.f64 (.f64 i i) (/.f64 (.f64 (/.f64 i (.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(.f64 (.f64 i i) (/.f64 (.f64 i i) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i) (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i))
(.f64 (.f64 #s(literal -1/2 binary64) i) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(.f64 (.f64 #s(literal -1/2 binary64) i) (.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i)))
(.f64 (.f64 #s(literal -1/2 binary64) i) (.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i)))
(.f64 (.f64 #s(literal -1/2 binary64) i) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))) i))
(.f64 #s(literal 1/2 binary64) (.f64 i (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))) i)))
(.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 4 binary64) i) i))))
(.f64 i (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) i)))
(.f64 i (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i)))
(.f64 i (.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) i)) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) i) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (/.f64 (.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 (/.f64 (.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 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) i) (.f64 (.f64 #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (neg.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (.f64 #s(literal 4 binary64) i) i)))))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (.f64 #s(literal 4 binary64) i) i))))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (.f64 (.f64 #s(literal 4 binary64) i) i)))
(neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal -8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) i) i (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) i))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) i) i) (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i) (*.f64 #s(literal -1/2 binary64) i))
(.f64 (.f64 #s(literal -1/2 binary64) i) (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(.f64 i (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) i)))
(/.f64 (neg.f64 (.f64 (neg.f64 i) (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i) (neg.f64 i))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 i) (.f64 #s(literal -1/2 binary64) i))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 i) (.f64 #s(literal -1/2 binary64) i))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) i) (.f64 i i))) (.f64 #s(literal -2 binary64) i))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) (.f64 (.f64 #s(literal -1/2 binary64) i) i))) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) i)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) i) (.f64 (.f64 #s(literal -1/2 binary64) i) i))) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) i)))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))))) (neg.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 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 (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) i) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -2 binary64))) (sqrt.f64 i))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (hypot.f64 i i))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) i)) (sqrt.f64 (*.f64 #s(literal -2 binary64) i)))
(*.f64 (hypot.f64 i i) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (hypot.f64 i i) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (.f64 (.f64 i i) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 i i))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) i)) (sqrt.f64 i))
(.f64 (sqrt.f64 i) (sqrt.f64 (.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) i))))
(.f64 (sqrt.f64 i) (sqrt.f64 (.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 1 binary64))))
(.f64 (sqrt.f64 i) (sqrt.f64 (.f64 #s(literal 4 binary64) i)))
(*.f64 (neg.f64 i) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) i))
(.f64 #s(literal -2 binary64) (pow.f64 (.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) i)
(.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) i))
(.f64 (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -2 binary64) i) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (fabs.f64 (.f64 i #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (neg.f64 i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal -2 binary64))
(*.f64 i #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i i))) (neg.f64 (-.f64 i i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 i i (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i i)))))
(/.f64 (fabs.f64 (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i i))) (fabs.f64 (-.f64 i i)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64)))) (fabs.f64 (fma.f64 i i (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i i)))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i i)) (-.f64 (neg.f64 i) (neg.f64 i)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i i)) (-.f64 i i))
(/.f64 (-.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i i))))
(neg.f64 (*.f64 #s(literal -2 binary64) i))
(fma.f64 (pow.f64 i #s(literal 1/2 binary64)) (pow.f64 i #s(literal 1/2 binary64)) i)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 (neg.f64 i))) i)
(fma.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 (neg.f64 i)) i)
(fma.f64 (sqrt.f64 i) (sqrt.f64 i) i)
(fma.f64 #s(literal 1 binary64) i i)
(fma.f64 i #s(literal 1 binary64) i)
(sqrt.f64 (.f64 (.f64 #s(literal 4 binary64) i) i))
(-.f64 (/.f64 (.f64 i i) (-.f64 i i)) (/.f64 (.f64 i i) (-.f64 i i)))
(-.f64 i (*.f64 #s(literal -1 binary64) i))
(-.f64 i (*.f64 (neg.f64 i) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal -2 binary64) i))
(exp.f64 (/.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) i)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i i)))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i i)))))
(+.f64 (neg.f64 i) (neg.f64 i))
(+.f64 i i)
(*.f64 (neg.f64 (neg.f64 (neg.f64 i))) (neg.f64 (neg.f64 (neg.f64 i))))
(*.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 (pow.f64 i #s(literal 3 binary64))))
(.f64 (sqrt.f64 (.f64 (neg.f64 i) i)) (sqrt.f64 (*.f64 (neg.f64 i) i)))
(*.f64 (sqrt.f64 (pow.f64 i #s(literal 3 binary64))) (sqrt.f64 (neg.f64 i)))
(*.f64 (sqrt.f64 (pow.f64 i #s(literal 3 binary64))) (sqrt.f64 i))
(*.f64 (sqrt.f64 i) (sqrt.f64 (pow.f64 i #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 i)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 i)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 i) (neg.f64 i))
(.f64 (.f64 i i) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i i))
(*.f64 i i)
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 i)) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64))
(pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 i)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 i) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) i)
(.f64 i (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) i)) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) i)) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 i (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 i (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) i) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) i) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 i (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 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)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) i)
(.f64 (.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) i))
(*.f64 i #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))

eval209.0ms (3.9%)

Memory: 34.3MiB live, 352.1MiB allocated; 54ms collecting garbage
Compiler: Compiled 50 774 to 4 658 computations (90.8% saved)

prune45.0ms (0.9%)

Memory

-13.1MiB live, 100.7MiB allocated; 24ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 430	2	1 432
Fresh	0	0	0
Picked	4	1	5
Done	0	3	3
Total	1 434	6	1 440

Accuracy

100.0%

Counts

1 440 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(/.f64 (/.f64 (.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)))
▶	79.7%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
✓	50.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	50.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
✓	50.1%	#s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))

Compiler

Compiled 155 to 80 computations (48.4% saved)

simplify139.0ms (2.6%)

Memory

20.1MiB live, 147.2MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 i i))
cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
cost-diff	3	(/.f64 (/.f64 (.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)))
cost-diff	0	(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
cost-diff	0	(*.f64 i i)
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 i i))
cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
0	26	76
1	48	76
2	138	76
3	471	76
4	1186	76
5	3170	76
6	6965	76
0	8054	76

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1.3%)

Memory

-1.9MiB live, 99.9MiB allocated; 38ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(.f64 #s(literal 1/4 binary64) (.f64 i i))
accuracy	0.2460661653756477	(/.f64 (/.f64 (.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)))
accuracy	12.195908455071338	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
accuracy	0.0	(*.f64 i i)
accuracy	0.0	(*.f64 #s(literal 4 binary64) i)
accuracy	0.0	(.f64 #s(literal 1/4 binary64) (.f64 i i))
accuracy	12.59894123470039	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))

Samples

51.0ms

256×

valid

Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 19.0ms (46.2% of total)

ival-add: 17.0ms (41.4% of total)

ival-div: 4.0ms (9.7% of total)

exact: 1.0ms (2.4% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

7 → 24

Calls

Call 1

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

Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
-1
(- (* 4 (pow i 2)) 1)
(* (pow i 2) (+ 1/4 (* 1/2 i)))
(* (pow i 2) (+ 1/4 (* i (+ 1/2 i))))
(* (pow i 2) (+ 1/4 (* i (+ 1/2 (* i (+ 1 (* 2 i)))))))
(* 4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1/8 i)
(* -1 (* i (+ 1/8 (* 1/16 (/ 1 i)))))
(* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8))
(* i (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) (pow i 2))) (+ 1/8 (* 1/16 (/ 1 i)))))
(* -1 (* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i))))))
(* -1 (* i (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) i)) 1/16) i)))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

simplify157.0ms (3%)

Memory

5.2MiB live, 235.5MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	238
1	289	234
2	906	227
3	3079	219
0	8101	209

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
-1
(- (* 4 (pow i 2)) 1)
(* (pow i 2) (+ 1/4 (* 1/2 i)))
(* (pow i 2) (+ 1/4 (* i (+ 1/2 i))))
(* (pow i 2) (+ 1/4 (* i (+ 1/2 (* i (+ 1 (* 2 i)))))))
(* 4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1/8 i)
(* -1 (* i (+ 1/8 (* 1/16 (/ 1 i)))))
(* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8))
(* i (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) (pow i 2))) (+ 1/8 (* 1/16 (/ 1 i)))))
(* -1 (* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i))))))
(* -1 (* i (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 i))) i)) 1/16) i)))))

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

rewrite138.0ms (2.6%)

Memory

2.5MiB live, 201.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	26	51
1	91	51
2	599	51
3	7006	51
0	8014	51

Stop Event

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

Counts

7 → 483

Calls

Call 1

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

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

eval79.0ms (1.5%)

Memory: -19.3MiB live, 138.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 10 787 to 1 264 computations (88.3% saved)

prune72.0ms (1.4%)

Memory

-19.9MiB live, 26.8MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	436	0	436
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	436	6	442

Accuracy

100.0%

Counts

442 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.3%	(/.f64 (/.f64 (.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)))
✓	79.7%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
✓	50.5%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓	50.1%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	50.9%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
✓	50.1%	#s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))

Compiler

Compiled 503 to 166 computations (67% saved)

regimes8.0ms (0.1%)

Memory

9.5MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms

3.0ms

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

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
99.6%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes7.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms

3.0ms

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

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
99.6%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes6.0ms (0.1%)

Memory

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

Counts

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

Outputs

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

Calls

2 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
80.3%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
100.0%	2	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes2.0ms (0%)

Memory

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

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

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

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

#s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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
99.2%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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 #s(literal -1/4 binary64) i) i))

Outputs

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes15.0ms (0.3%)

Memory

-41.9MiB live, 4.4MiB allocated; 4ms 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:

14.0ms

(/.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)))

1.0ms

Results

Accuracy	Segments	Branch
50.9%	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)))`
50.9%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	14729229.701882983	1025838327.037737

Samples

1.0ms

16×

valid

Compiler

Compiled 67 to 37 computations (44.8% saved)

Precisions

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

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.11292170627890266	2.9395106314575274

Samples

7.0ms

112×

valid

Compiler

Compiled 518 to 266 computations (48.6% saved)

Precisions

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

ival-mult: 2.0ms (45% of total)

ival-sub: 1.0ms (22.5% of total)

ival-div: 1.0ms (22.5% 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

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11292170627890266	2.9395106314575274

Compiler

Compiled 476 to 238 computations (50% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11292170627890266	2.9395106314575274

Compiler

Compiled 434 to 210 computations (51.6% saved)

simplify68.0ms (1.3%)

Memory

-16.4MiB live, 36.0MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	306
1	126	242
2	553	242
3	4148	226

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (/.f64 i #s(literal -2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (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)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(.f64 (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 i i)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 i #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (/.f64 i #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) (/.f64 i #s(literal -2 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 i i)) (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)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #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 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (* (/ (* (/ i 2) (/ i i)) (+ (* 2 i) 1)) (/ (* (/ i 2) (/ i i)) (- (* 2 i) 1))) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) 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 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

derivations660.0ms (12.4%)

Memory

46.0MiB live, 318.4MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	236
0	54	197
1	196	161
0	1430	156
0	128	342
1	353	341
2	889	311
3	3187	307
0	8146	304
0	55	304
0	87	279
1	303	238
2	2334	231
0	9132	227
0	50	126
1	95	126
2	209	126
3	495	126
4	1135	126
5	1599	126
6	1870	126
7	2048	126
8	2062	126
9	2062	126
10	2062	126
11	2488	126
12	3407	126
13	3413	126
14	3439	126
15	3803	126
16	4501	126
17	5100	126
18	5965	126
0	8014	124
0	10	66
0	17	50
1	79	44
0	661	42

Stop Event

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

Compiler

Compiled 306 to 56 computations (81.7% saved)

preprocess95.0ms (1.8%)

Memory: -38.1MiB live, 66.6MiB allocated; 16ms collecting garbage
Remove: (abs i)
Compiler: Compiled 834 to 224 computations (73.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze18.0ms (0.3%)

sample1.3s (24.6%)

explain185.0ms (3.5%)

preprocess158.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify143.0ms (2.7%)

localize39.0ms (0.7%)

series6.0ms (0.1%)

simplify214.0ms (4%)

rewrite48.0ms (0.9%)

eval39.0ms (0.7%)

prune51.0ms (1%)

simplify84.0ms (1.6%)

localize86.0ms (1.6%)

series14.0ms (0.3%)

simplify204.0ms (3.8%)

rewrite110.0ms (2.1%)

eval29.0ms (0.5%)

prune57.0ms (1.1%)

simplify125.0ms (2.3%)

localize197.0ms (3.7%)

series24.0ms (0.5%)

simplify150.0ms (2.8%)

rewrite243.0ms (4.6%)

eval209.0ms (3.9%)

prune45.0ms (0.9%)

simplify139.0ms (2.6%)

localize68.0ms (1.3%)

series3.0ms (0.1%)

simplify157.0ms (3%)

rewrite138.0ms (2.6%)

eval79.0ms (1.5%)

prune72.0ms (1.4%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes15.0ms (0.3%)

bsearch2.0ms (0%)

bsearch13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify68.0ms (1.3%)

derivations660.0ms (12.4%)

preprocess95.0ms (1.8%)

end0.0ms (0%)

Profiling