Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.9%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.2s (21.5%)

Memory

57.3MiB live, 1 935.9MiB allocated; 380ms collecting garbage

Samples

723.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-mult: 246.0ms (55.1% of total)

ival-div: 98.0ms (21.9% of total)

ival-sub: 60.0ms (13.4% of total)

ival->: 22.0ms (4.9% of total)

exact: 14.0ms (3.1% of total)

ival-assert: 4.0ms (0.9% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain161.0ms (2.9%)

Memory

-13.4MiB live, 281.1MiB allocated; 61ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
191	-	2	(7.666908907360236e-79)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
70	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	70	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	101
↳	`(*.f64 i i)`	overflow	140
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	70
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	o/o	70	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	101
↳	`(*.f64 i i)`	overflow	140
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	70
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	70
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	70
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	70
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	60	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	88
↳	`(*.f64 i i)`	underflow	120
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	60
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	31	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	101
↳	`(*.f64 i i)`	overflow	140
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	28	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	88
↳	`(*.f64 i i)`	underflow	120

Confusion

	Predicted +	Predicted -
+	189	2
-	0	65

Precision

1.0

Recall

0.9895287958115183

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	189	0	2
-	0	0	65

Precision?

1.0

Recall?

0.9895287958115183

Freqs

test

number	freq
0	67
1	119
2	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 12.0ms (55.7% of total)

ival-div: 6.0ms (27.9% of total)

ival-sub: 2.0ms (9.3% of total)

exact: 1.0ms (4.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess149.0ms (2.7%)

Memory

18.0MiB live, 198.7MiB allocated; 30ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.2%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

27.2%

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

Compiler

Compiled 25 to 10 computations (60% saved)

simplify139.0ms (2.5%)

Memory

26.2MiB live, 157.8MiB allocated; 17ms 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)

localize51.0ms (0.9%)

Memory

-36.8MiB live, 61.3MiB allocated; 22ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) i)
accuracy	0.146816259768442	(.f64 (.f64 i i) (*.f64 i i))
accuracy	16.962667287096675	(/.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	42.612872150168876	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

38.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sub: 10.0ms (50.3% of total)

ival-mult: 6.0ms (30.2% of total)

ival-div: 3.0ms (15.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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))

simplify185.0ms (3.4%)

Memory

6.1MiB live, 149.0MiB allocated; 38ms 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)))))

rewrite53.0ms (1%)

Memory

2.4MiB live, 47.4MiB allocated; 8ms 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))))
(.f64 (/.f64 (.f64 (neg.f64 i) i) (.f64 #s(literal 2 binary64) i)) (/.f64 (.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)))
(.f64 (/.f64 (.f64 i i) (.f64 i #s(literal 4 binary64))) (/.f64 (.f64 i i) i))
(.f64 (/.f64 (.f64 i i) #s(literal 4 binary64)) (/.f64 (.f64 i i) (.f64 i i)))
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eval30.0ms (0.5%)

Memory: -6.7MiB live, 39.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 966 to 690 computations (88.4% saved)

prune7.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	225	8	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	226	8	234

Accuracy

100.0%

Counts

234 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.1%	(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 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)))
	27.2%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
▶	72.6%	(/.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)))
▶	53.4%	#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)))
▶	46.9%	#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)))
	46.8%	#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)))
	46.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
▶	53.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 508 to 242 computations (52.4% saved)

simplify128.0ms (2.3%)

Memory

-2.7MiB live, 153.0MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	360
0	59	314
1	125	298
2	586	260
3	3990	260
0	9118	253

Stop Event

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

Calls

Call 1

Inputs
(/.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)
#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 1/64 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 (.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 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 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) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 i i) (neg.f64 i))
(*.f64 i i)
i
(neg.f64 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 #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 (.f64 i i) #s(literal 1/4 binary64))) (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 (.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
(-.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)
#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 1/64 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 (.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 i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 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 #s(literal -4 binary64) (.f64 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 #s(literal -4 binary64) (.f64 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 #s(literal -4 binary64) (.f64 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 #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 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 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) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(.f64 (.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i))
(pow.f64 i #s(literal 4 binary64))
(.f64 (.f64 i i) (neg.f64 i))
(pow.f64 (neg.f64 i) #s(literal 3 binary64))
(*.f64 i i)
i
(neg.f64 i)
(.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)
(-.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))
#s(literal 1 binary64)

localize74.0ms (1.3%)

Memory

5.7MiB live, 97.0MiB allocated; 6ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 (.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i))
accuracy	0.109375	(.f64 (.f64 i i) (neg.f64 i))
accuracy	16.962667287096675	(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 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	42.612872150168876	(/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
accuracy	0.0234375	(.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 1 binary64)) i) i)
accuracy	0.03515625	(.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	0.0625	(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i)
accuracy	33.986787904238405	#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	0.00390625	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0.3623767411503087	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	29.845494112273823	#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	29.58413341835455	#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	0.0	(*.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	16.962667287096675	(/.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)))

Samples

54.0ms

256×

valid

Compiler

Compiled 322 to 31 computations (90.4% saved)

Precisions

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

ival-mult: 23.0ms (59.9% of total)

ival-div: 7.0ms (18.2% of total)

ival-sub: 5.0ms (13% of total)

ival-add: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

series27.0ms (0.5%)

Memory

-25.1MiB live, 25.6MiB allocated; 13ms collecting garbage

Counts

20 → 35

Calls

Call 1

Inputs
(.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))
#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 1/64 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 (.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 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(.f64 (.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 i i) (neg.f64 i))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 2 binary64) i)
(.f64 (-.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i)
(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 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
(* 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))
(* 1/4 (pow i 2))
(/ 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)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (- (* -4 (pow i 2)) 1))
(pow i 4)
(* -1 (pow i 3))
(* 1/4 i)
(* 2 i)
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* (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))))))
(* -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))
(* -4 (pow i 3))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	i	@	0	((* (* 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))) (/ (/ (* (* 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)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* 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 i) (neg i)) (neg i)) (* (* 2 i) (* 2 i))) (* (* (* i i) (neg i)) (neg i)) (* (* i i) (neg i)) (* 1/4 i) (* 2 i) (* (- (* -4 (* i i)) 1) i) (/ (/ (* (* (* i i) (neg i)) (neg i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)))
3.0ms	i	@	inf	((* (* 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))) (/ (/ (* (* 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)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* 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 i) (neg i)) (neg i)) (* (* 2 i) (* 2 i))) (* (* (* i i) (neg i)) (neg i)) (* (* i i) (neg i)) (* 1/4 i) (* 2 i) (* (- (* -4 (* i i)) 1) i) (/ (/ (* (* (* i i) (neg i)) (neg i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)))
3.0ms	i	@	-inf	((* (* 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))) (/ (/ (* (* 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)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* 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 i) (neg i)) (neg i)) (* (* 2 i) (* 2 i))) (* (* (* i i) (neg i)) (neg i)) (* (* i i) (neg i)) (* 1/4 i) (* 2 i) (* (- (* -4 (* i i)) 1) i) (/ (/ (* (* (* i i) (neg i)) (neg i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)))

Time

Variable

Point

Expression

19.0ms

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

3.0ms

inf

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

3.0ms

-inf

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

simplify124.0ms (2.3%)

Memory

40.5MiB live, 169.3MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	290
1	189	290
2	550	278
3	1671	265
4	5927	262
0	8229	261

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
(* 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))
(* 1/4 (pow i 2))
(/ 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)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(* -1 (pow i 2))
(* (pow i 2) (- (* -4 (pow i 2)) 1))
(pow i 4)
(* -1 (pow i 3))
(* 1/4 i)
(* 2 i)
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* (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))))))
(* -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))
(* -4 (pow i 3))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 2)))))

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

rewrite91.0ms (1.6%)

Memory

-19.3MiB live, 121.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	301
0	59	251
1	193	233
0	1344	227

Stop Event

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

Counts

20 → 282

Calls

Call 1

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

eval863.0ms (15.7%)

Memory: -161.8MiB live, 121.7MiB allocated; 1.3s collecting garbage
Compiler: Compiled 16 220 to 1 463 computations (91% saved)

prune11.0ms (0.2%)

Memory

38.9MiB live, 38.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	499	3	502
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	503	7	510

Accuracy

100.0%

Counts

510 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.1%	(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
▶	72.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	53.4%	#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)))
▶	46.8%	#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)))
▶	46.8%	#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))
▶	46.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	53.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 370 to 182 computations (50.8% saved)

simplify94.0ms (1.7%)

Memory

-13.1MiB live, 135.7MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	323
0	58	287
1	127	268
2	668	230
3	4658	230
0	8597	230

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (1.6%)

Memory

-17.1MiB live, 121.9MiB allocated; 8ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 (.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i))
accuracy	0.109375	(.f64 (.f64 i i) (neg.f64 i))
accuracy	16.962667287096675	(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	42.612872150168876	(/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
accuracy	0.0	(neg.f64 i)
accuracy	0.00390625	(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
accuracy	0.08984375	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy	34.019213746263134	#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	0.00390625	(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
accuracy	0.0234375	(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
accuracy	0.0625	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i)
accuracy	34.019213746263134	#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))
accuracy	0.0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) i)
accuracy	34.15545359918962	#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	0.0	(*.f64 i 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	16.962667287096675	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))

Samples

52.0ms

256×

valid

Compiler

Compiled 289 to 33 computations (88.6% saved)

Precisions

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

ival-mult: 21.0ms (58% of total)

ival-div: 8.0ms (22.1% of total)

ival-add: 3.0ms (8.3% of total)

ival-sub: 2.0ms (5.5% of total)

exact: 1.0ms (2.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

series10.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

21 → 24

Calls

Call 1

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

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))
(* 1/4 i)
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(pow i 4)
(* -1 (pow i 3))
(* 4 (pow i 2))
(pow i 2)
(* -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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify94.0ms (1.7%)

Memory

1.3MiB live, 51.0MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	170
1	152	170
2	465	164
3	1617	164
4	5047	164
0	8459	164

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))
(* 1/4 i)
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(pow i 4)
(* -1 (pow i 3))
(* 4 (pow i 2))
(pow i 2)
(* -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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

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

rewrite89.0ms (1.6%)

Memory

17.1MiB live, 60.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	274
0	58	230
1	190	205
0	1240	201

Stop Event

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

Counts

21 → 265

Calls

Call 1

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

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

eval56.0ms (1%)

Memory: 8.9MiB live, 52.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 553 to 1 052 computations (89% saved)

prune29.0ms (0.5%)

Memory

-20.6MiB live, 24.4MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	342	3	345
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	345	7	352

Accuracy

100.0%

Counts

352 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.1%	(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 i i) #s(literal 4 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	72.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	53.4%	#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)))
▶	46.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))
✓	46.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
▶	46.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(approx (* (* (- (* (neg i) i) 1/4) i) i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))))
✓	53.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 229 to 113 computations (50.7% saved)

simplify139.0ms (2.5%)

Memory

-10.7MiB live, 94.5MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	252
0	51	238
1	126	224
2	737	198
3	5083	198
0	8409	198

Stop Event

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

Calls

Call 1

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

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

localize83.0ms (1.5%)

Memory

31.6MiB live, 74.3MiB allocated; 6ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 (.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i))
accuracy	0.109375	(.f64 (.f64 i i) (neg.f64 i))
accuracy	16.962667287096675	(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 i i) #s(literal 4 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	42.612872150168876	(/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (*.f64 i i) #s(literal 4 binary64)))
accuracy	0.00390625	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy	0.0234375	(.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i)
accuracy	0.0625	(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i)
accuracy	34.019213746263134	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))
accuracy	0.0	(neg.f64 i)
accuracy	0.0	#s(approx (* (* (- (* (neg i) i) 1/4) i) i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
accuracy	0.08984375	(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
accuracy	34.019213746263134	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(approx (* (* (- (* (neg i) i) 1/4) i) i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))))

Samples

66.0ms

256×

valid

Compiler

Compiled 192 to 30 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 42.0ms (76.9% of total)

ival-div: 5.0ms (9.2% of total)

ival-sub: 3.0ms (5.5% of total)

ival-add: 2.0ms (3.7% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

series30.0ms (0.5%)

Memory

-37.3MiB live, 8.8MiB allocated; 3ms collecting garbage

Counts

14 → 25

Calls

Call 1

Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(approx (* (* (- (* (neg i) i) 1/4) i) i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))))
#s(approx (* (* (- (* (neg i) i) 1/4) i) i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))
(.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))
(.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i)
(.f64 #s(approx (- ( (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i)
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 i i) (neg.f64 i))
(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 i i) #s(literal 4 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(neg.f64 i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i 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
(+ 1/4 (pow i 2))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* 1/4 (pow i 2))
(pow i 4)
(* -1 (pow i 3))
(* -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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

26.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify121.0ms (2.2%)

Memory

10.7MiB live, 106.5MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	173
1	150	173
2	463	167
3	1611	167
4	4983	167
0	8349	165

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

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
(+ 1/4 (pow i 2))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* 1/4 (pow i 2))
(pow i 4)
(* -1 (pow i 3))
(* -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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

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

rewrite97.0ms (1.8%)

Memory

32.1MiB live, 75.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	222
0	51	198
1	211	181
0	1491	178

Stop Event

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

Counts

14 → 221

Calls

Call 1

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

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

eval37.0ms (0.7%)

Memory: 9.6MiB live, 51.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 7 540 to 873 computations (88.4% saved)

prune80.0ms (1.5%)

Memory

-41.3MiB live, 55.0MiB allocated; 28ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	246	7	253

Accuracy

100.0%

Counts

253 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.1%	(/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (neg.f64 i)) (neg.f64 i)) (.f64 (.f64 i i) #s(literal 4 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	72.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	53.4%	#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)))
✓	46.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i))
✓	46.6%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	46.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(approx (* (* (- (* (neg i) i) 1/4) i) i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i))))
✓	53.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 706 to 194 computations (72.5% saved)

regimes9.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

4.0ms

(/.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
77.3%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
100.0%	2	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

3.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.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
99.0%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB 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 i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(approx (* (* (- (* (neg i) i) 1/4) i) i) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))))

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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
98.7%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes26.0ms (0.5%)

Memory

-39.2MiB live, 7.5MiB allocated; 2ms 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:

25.0ms

1.0ms

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

Results

Accuracy	Segments	Branch
53.8%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
53.8%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	20467527.725602664	3734883086.104662

Samples

1.0ms

16×

valid

Compiler

Compiled 83 to 44 computations (47% 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)

bsearch57.0ms (1%)

Memory

4.1MiB live, 50.2MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
55.0ms	0.24982719112464613	183.5823298136962

Samples

8.0ms

128×

valid

Compiler

Compiled 628 to 326 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (58.4% of total)

ival-sub: 1.0ms (19.5% of total)

ival-div: 1.0ms (19.5% 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

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.24982719112464613	183.5823298136962

Compiler

Compiled 580 to 294 computations (49.3% saved)

bsearch1.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.24982719112464613	183.5823298136962

Compiler

Compiled 612 to 310 computations (49.3% saved)

bsearch1.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.24982719112464613	183.5823298136962

Compiler

Compiled 492 to 238 computations (51.6% saved)

simplify65.0ms (1.2%)

Memory

-10.7MiB live, 94.1MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	377
1	102	355
2	448	311
3	3272	311

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 40000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(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(approx (- (* (neg i) i) 1/4) (-.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 #s(approx (- (* (neg i) i) 1/4) (-.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)) #s(approx (* (* (- (* (neg i) i) 1/4) i) i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #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
(if (<=.f64 i #s(literal 40000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(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(approx (- (* (neg i) i) 1/4) (-.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 #s(approx (- (* (neg i) i) 1/4) (-.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)) #s(approx (* (* (- (* (neg i) i) 1/4) i) i) (.f64 (fma.f64 i i #s(literal 1/4 binary64)) (.f64 (neg.f64 i) i)))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #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))

derivations867.0ms (15.7%)

Memory

16.1MiB live, 581.8MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	301
0	59	251
1	193	233
0	1344	227
0	77	290
1	189	290
2	550	278
3	1671	265
4	5927	262
0	8229	261
0	62	170
1	152	170
2	465	164
3	1617	164
4	5047	164
0	8459	164
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×	done
1×	iter limit
1×	node 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

Compiler

Compiled 377 to 55 computations (85.4% saved)

preprocess138.0ms (2.5%)

Memory: -27.4MiB live, 114.2MiB allocated; 58ms collecting garbage
Remove: (abs i)
Compiler: Compiled 922 to 178 computations (80.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.2s (21.5%)

explain161.0ms (2.9%)

preprocess149.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify139.0ms (2.5%)

localize51.0ms (0.9%)

series6.0ms (0.1%)

simplify185.0ms (3.4%)

rewrite53.0ms (1%)

eval30.0ms (0.5%)

prune7.0ms (0.1%)

simplify128.0ms (2.3%)

localize74.0ms (1.3%)

series27.0ms (0.5%)

simplify124.0ms (2.3%)

rewrite91.0ms (1.6%)

eval863.0ms (15.7%)

prune11.0ms (0.2%)

simplify94.0ms (1.7%)

localize88.0ms (1.6%)

series10.0ms (0.2%)

simplify94.0ms (1.7%)

rewrite89.0ms (1.6%)

eval56.0ms (1%)

prune29.0ms (0.5%)

simplify139.0ms (2.5%)

localize83.0ms (1.5%)

series30.0ms (0.5%)

simplify121.0ms (2.2%)

rewrite97.0ms (1.8%)

eval37.0ms (0.7%)

prune80.0ms (1.5%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes26.0ms (0.5%)

bsearch2.0ms (0%)

bsearch57.0ms (1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify65.0ms (1.2%)

derivations867.0ms (15.7%)

preprocess138.0ms (2.5%)

end0.0ms (0%)

Profiling